diff --git a/master/refman/.doctrees/addendum/extraction.doctree b/master/refman/.doctrees/addendum/extraction.doctree index 7288920f70..ecdbe2fc47 100644 Binary files a/master/refman/.doctrees/addendum/extraction.doctree and b/master/refman/.doctrees/addendum/extraction.doctree differ diff --git a/master/refman/.doctrees/addendum/generalized-rewriting.doctree b/master/refman/.doctrees/addendum/generalized-rewriting.doctree index b1acfc2299..72d62c7854 100644 Binary files a/master/refman/.doctrees/addendum/generalized-rewriting.doctree and b/master/refman/.doctrees/addendum/generalized-rewriting.doctree differ diff --git a/master/refman/.doctrees/addendum/implicit-coercions.doctree b/master/refman/.doctrees/addendum/implicit-coercions.doctree index 9c3329a30d..8ef3f9b000 100644 Binary files a/master/refman/.doctrees/addendum/implicit-coercions.doctree and b/master/refman/.doctrees/addendum/implicit-coercions.doctree differ diff --git a/master/refman/.doctrees/addendum/micromega.doctree b/master/refman/.doctrees/addendum/micromega.doctree index 20a55c19d7..7263b959a5 100644 Binary files a/master/refman/.doctrees/addendum/micromega.doctree and b/master/refman/.doctrees/addendum/micromega.doctree differ diff --git a/master/refman/.doctrees/addendum/miscellaneous-extensions.doctree b/master/refman/.doctrees/addendum/miscellaneous-extensions.doctree index b7541f548d..70d13a05b6 100644 Binary files a/master/refman/.doctrees/addendum/miscellaneous-extensions.doctree and b/master/refman/.doctrees/addendum/miscellaneous-extensions.doctree differ diff --git a/master/refman/.doctrees/addendum/program.doctree b/master/refman/.doctrees/addendum/program.doctree index d3f807ccec..49b60d9925 100644 Binary files a/master/refman/.doctrees/addendum/program.doctree and b/master/refman/.doctrees/addendum/program.doctree differ diff --git a/master/refman/.doctrees/addendum/ring.doctree b/master/refman/.doctrees/addendum/ring.doctree index 564cfd0fc4..d76d2bbc46 100644 Binary files a/master/refman/.doctrees/addendum/ring.doctree and b/master/refman/.doctrees/addendum/ring.doctree differ diff --git a/master/refman/.doctrees/addendum/sprop.doctree b/master/refman/.doctrees/addendum/sprop.doctree index ba7780acb4..3ff804ab73 100644 Binary files a/master/refman/.doctrees/addendum/sprop.doctree and b/master/refman/.doctrees/addendum/sprop.doctree differ diff --git a/master/refman/.doctrees/addendum/type-classes.doctree b/master/refman/.doctrees/addendum/type-classes.doctree index 680b40dcc4..7b3ae742e0 100644 Binary files a/master/refman/.doctrees/addendum/type-classes.doctree and b/master/refman/.doctrees/addendum/type-classes.doctree differ diff --git a/master/refman/.doctrees/addendum/universe-polymorphism.doctree b/master/refman/.doctrees/addendum/universe-polymorphism.doctree index 9a59584e2c..416dbf9595 100644 Binary files a/master/refman/.doctrees/addendum/universe-polymorphism.doctree and b/master/refman/.doctrees/addendum/universe-polymorphism.doctree differ diff --git a/master/refman/.doctrees/changes.doctree b/master/refman/.doctrees/changes.doctree index 40fedf710d..46d0184106 100644 Binary files a/master/refman/.doctrees/changes.doctree and b/master/refman/.doctrees/changes.doctree differ diff --git a/master/refman/.doctrees/environment.pickle b/master/refman/.doctrees/environment.pickle index 3ebeb695ae..c5082653b2 100644 Binary files a/master/refman/.doctrees/environment.pickle and b/master/refman/.doctrees/environment.pickle differ diff --git a/master/refman/.doctrees/language/cic.doctree b/master/refman/.doctrees/language/cic.doctree index 5edae4e165..2911f4e43a 100644 Binary files a/master/refman/.doctrees/language/cic.doctree and b/master/refman/.doctrees/language/cic.doctree differ diff --git a/master/refman/.doctrees/language/coq-library.doctree b/master/refman/.doctrees/language/coq-library.doctree index 129aa98281..093b37993e 100644 Binary files a/master/refman/.doctrees/language/coq-library.doctree and b/master/refman/.doctrees/language/coq-library.doctree differ diff --git a/master/refman/.doctrees/language/core/assumptions.doctree b/master/refman/.doctrees/language/core/assumptions.doctree index 7264dbe3f9..67e18f0740 100644 Binary files a/master/refman/.doctrees/language/core/assumptions.doctree and b/master/refman/.doctrees/language/core/assumptions.doctree differ diff --git a/master/refman/.doctrees/language/core/basic.doctree b/master/refman/.doctrees/language/core/basic.doctree index 78c7cb6c69..a619454ab5 100644 Binary files a/master/refman/.doctrees/language/core/basic.doctree and b/master/refman/.doctrees/language/core/basic.doctree differ diff --git a/master/refman/.doctrees/language/core/coinductive.doctree b/master/refman/.doctrees/language/core/coinductive.doctree index 2b6d091dfb..5eb9830e1c 100644 Binary files a/master/refman/.doctrees/language/core/coinductive.doctree and b/master/refman/.doctrees/language/core/coinductive.doctree differ diff --git a/master/refman/.doctrees/language/core/conversion.doctree b/master/refman/.doctrees/language/core/conversion.doctree index 8e24ef1384..fe2ed1f2af 100644 Binary files a/master/refman/.doctrees/language/core/conversion.doctree and b/master/refman/.doctrees/language/core/conversion.doctree differ diff --git a/master/refman/.doctrees/language/core/inductive.doctree b/master/refman/.doctrees/language/core/inductive.doctree index 4bba3d854a..524590b17c 100644 Binary files a/master/refman/.doctrees/language/core/inductive.doctree and b/master/refman/.doctrees/language/core/inductive.doctree differ diff --git a/master/refman/.doctrees/language/core/modules.doctree b/master/refman/.doctrees/language/core/modules.doctree index 385d8430c6..153c6dec59 100644 Binary files a/master/refman/.doctrees/language/core/modules.doctree and b/master/refman/.doctrees/language/core/modules.doctree differ diff --git a/master/refman/.doctrees/language/core/primitive.doctree b/master/refman/.doctrees/language/core/primitive.doctree index 9b58dc4281..3859e98ece 100644 Binary files a/master/refman/.doctrees/language/core/primitive.doctree and b/master/refman/.doctrees/language/core/primitive.doctree differ diff --git a/master/refman/.doctrees/language/core/records.doctree b/master/refman/.doctrees/language/core/records.doctree index a9c0191e62..6fa692da0d 100644 Binary files a/master/refman/.doctrees/language/core/records.doctree and b/master/refman/.doctrees/language/core/records.doctree differ diff --git a/master/refman/.doctrees/language/core/sections.doctree b/master/refman/.doctrees/language/core/sections.doctree index 81c5eee342..f3f02d993e 100644 Binary files a/master/refman/.doctrees/language/core/sections.doctree and b/master/refman/.doctrees/language/core/sections.doctree differ diff --git a/master/refman/.doctrees/language/core/variants.doctree b/master/refman/.doctrees/language/core/variants.doctree index 974174c244..3f1a44dbaf 100644 Binary files a/master/refman/.doctrees/language/core/variants.doctree and b/master/refman/.doctrees/language/core/variants.doctree differ diff --git a/master/refman/.doctrees/language/extensions/arguments-command.doctree b/master/refman/.doctrees/language/extensions/arguments-command.doctree index 16343841fd..e7db725bd7 100644 Binary files a/master/refman/.doctrees/language/extensions/arguments-command.doctree and b/master/refman/.doctrees/language/extensions/arguments-command.doctree differ diff --git a/master/refman/.doctrees/language/extensions/canonical.doctree b/master/refman/.doctrees/language/extensions/canonical.doctree index d641d3a0d0..64f619ab94 100644 Binary files a/master/refman/.doctrees/language/extensions/canonical.doctree and b/master/refman/.doctrees/language/extensions/canonical.doctree differ diff --git a/master/refman/.doctrees/language/extensions/evars.doctree b/master/refman/.doctrees/language/extensions/evars.doctree index ededbc5b69..50fcca7b7a 100644 Binary files a/master/refman/.doctrees/language/extensions/evars.doctree and b/master/refman/.doctrees/language/extensions/evars.doctree differ diff --git a/master/refman/.doctrees/language/extensions/implicit-arguments.doctree b/master/refman/.doctrees/language/extensions/implicit-arguments.doctree index 904551845d..1abde743d5 100644 Binary files a/master/refman/.doctrees/language/extensions/implicit-arguments.doctree and b/master/refman/.doctrees/language/extensions/implicit-arguments.doctree differ diff --git a/master/refman/.doctrees/language/extensions/match.doctree b/master/refman/.doctrees/language/extensions/match.doctree index 15b73ef86a..28cfde0406 100644 Binary files a/master/refman/.doctrees/language/extensions/match.doctree and b/master/refman/.doctrees/language/extensions/match.doctree differ diff --git a/master/refman/.doctrees/practical-tools/coq-commands.doctree b/master/refman/.doctrees/practical-tools/coq-commands.doctree index 5b3e163e57..434fc570bf 100644 Binary files a/master/refman/.doctrees/practical-tools/coq-commands.doctree and b/master/refman/.doctrees/practical-tools/coq-commands.doctree differ diff --git a/master/refman/.doctrees/practical-tools/coqide.doctree b/master/refman/.doctrees/practical-tools/coqide.doctree index 5102c58a1b..2a784f484a 100644 Binary files a/master/refman/.doctrees/practical-tools/coqide.doctree and b/master/refman/.doctrees/practical-tools/coqide.doctree differ diff --git a/master/refman/.doctrees/proof-engine/ltac.doctree b/master/refman/.doctrees/proof-engine/ltac.doctree index 3cbeedfe1e..0e81ea9ac2 100644 Binary files a/master/refman/.doctrees/proof-engine/ltac.doctree and b/master/refman/.doctrees/proof-engine/ltac.doctree differ diff --git a/master/refman/.doctrees/proof-engine/ltac2.doctree b/master/refman/.doctrees/proof-engine/ltac2.doctree index 6f0a8f4371..421c419c5e 100644 Binary files a/master/refman/.doctrees/proof-engine/ltac2.doctree and b/master/refman/.doctrees/proof-engine/ltac2.doctree differ diff --git a/master/refman/.doctrees/proof-engine/ssreflect-proof-language.doctree b/master/refman/.doctrees/proof-engine/ssreflect-proof-language.doctree index 36f8b97a77..4b93d7ff7f 100644 Binary files a/master/refman/.doctrees/proof-engine/ssreflect-proof-language.doctree and b/master/refman/.doctrees/proof-engine/ssreflect-proof-language.doctree differ diff --git a/master/refman/.doctrees/proof-engine/tactics.doctree b/master/refman/.doctrees/proof-engine/tactics.doctree index 1d2eeb7bc6..6b0c8aba4c 100644 Binary files a/master/refman/.doctrees/proof-engine/tactics.doctree and b/master/refman/.doctrees/proof-engine/tactics.doctree differ diff --git a/master/refman/.doctrees/proof-engine/vernacular-commands.doctree b/master/refman/.doctrees/proof-engine/vernacular-commands.doctree index 8492151b0d..dfd771f173 100644 Binary files a/master/refman/.doctrees/proof-engine/vernacular-commands.doctree and b/master/refman/.doctrees/proof-engine/vernacular-commands.doctree differ diff --git a/master/refman/.doctrees/proofs/automatic-tactics/auto.doctree b/master/refman/.doctrees/proofs/automatic-tactics/auto.doctree index 9d5abaf727..2a0c59ebeb 100644 Binary files a/master/refman/.doctrees/proofs/automatic-tactics/auto.doctree and b/master/refman/.doctrees/proofs/automatic-tactics/auto.doctree differ diff --git a/master/refman/.doctrees/proofs/automatic-tactics/logic.doctree b/master/refman/.doctrees/proofs/automatic-tactics/logic.doctree index a6398aaca0..90723d00b0 100644 Binary files a/master/refman/.doctrees/proofs/automatic-tactics/logic.doctree and b/master/refman/.doctrees/proofs/automatic-tactics/logic.doctree differ diff --git a/master/refman/.doctrees/proofs/writing-proofs/equality.doctree b/master/refman/.doctrees/proofs/writing-proofs/equality.doctree index ea4815a6d9..e26158f4f8 100644 Binary files a/master/refman/.doctrees/proofs/writing-proofs/equality.doctree and b/master/refman/.doctrees/proofs/writing-proofs/equality.doctree differ diff --git a/master/refman/.doctrees/proofs/writing-proofs/proof-mode.doctree b/master/refman/.doctrees/proofs/writing-proofs/proof-mode.doctree index 561a03ba80..b64047bd6f 100644 Binary files a/master/refman/.doctrees/proofs/writing-proofs/proof-mode.doctree and b/master/refman/.doctrees/proofs/writing-proofs/proof-mode.doctree differ diff --git a/master/refman/.doctrees/proofs/writing-proofs/reasoning-inductives.doctree b/master/refman/.doctrees/proofs/writing-proofs/reasoning-inductives.doctree index dffa4896b6..1075cf1af9 100644 Binary files a/master/refman/.doctrees/proofs/writing-proofs/reasoning-inductives.doctree and b/master/refman/.doctrees/proofs/writing-proofs/reasoning-inductives.doctree differ diff --git a/master/refman/.doctrees/user-extensions/syntax-extensions.doctree b/master/refman/.doctrees/user-extensions/syntax-extensions.doctree index a3fd9f9132..eecb681186 100644 Binary files a/master/refman/.doctrees/user-extensions/syntax-extensions.doctree and b/master/refman/.doctrees/user-extensions/syntax-extensions.doctree differ diff --git a/master/refman/.doctrees/using/libraries/funind.doctree b/master/refman/.doctrees/using/libraries/funind.doctree index 6424a2169c..b288399795 100644 Binary files a/master/refman/.doctrees/using/libraries/funind.doctree and b/master/refman/.doctrees/using/libraries/funind.doctree differ diff --git a/master/refman/.doctrees/using/libraries/writing.doctree b/master/refman/.doctrees/using/libraries/writing.doctree index 0ae5f0dffe..b075488b6c 100644 Binary files a/master/refman/.doctrees/using/libraries/writing.doctree and b/master/refman/.doctrees/using/libraries/writing.doctree differ diff --git a/master/refman/proof-engine/ltac.html b/master/refman/proof-engine/ltac.html index d7e0653272..54545b6611 100644 --- a/master/refman/proof-engine/ltac.html +++ b/master/refman/proof-engine/ltac.html @@ -4241,37 +4241,37 @@

Profiling L
No more goals.
Show Ltac Profile. -
total time: 2.651s +
total time: 2.992s tactic local total calls max ────────────────────────────────────────┴──────┴──────┴───────┴─────────┘ -─tac ----------------------------------- 0.1% 100.0% 1 2.651s -─<Coq.Init.Tauto.with_uniform_flags> --- 0.0% 95.8% 26 0.269s -─<Coq.Init.Tauto.tauto_gen> ------------ 0.0% 95.8% 26 0.269s -─<Coq.Init.Tauto.tauto_intuitionistic> - 0.0% 95.7% 26 0.269s -─t_tauto_intuit ------------------------ 0.0% 95.6% 26 0.269s -─<Coq.Init.Tauto.simplif> -------------- 59.4% 92.7% 26 0.266s -─<Coq.Init.Tauto.is_conj> -------------- 24.7% 24.7% 28756 0.178s -─elim id ------------------------------- 5.3% 5.3% 650 0.003s +─tac ----------------------------------- 0.1% 100.0% 1 2.992s +─<Coq.Init.Tauto.with_uniform_flags> --- 0.0% 95.8% 26 0.274s +─<Coq.Init.Tauto.tauto_gen> ------------ 0.0% 95.8% 26 0.274s +─<Coq.Init.Tauto.tauto_intuitionistic> - 0.0% 95.7% 26 0.273s +─t_tauto_intuit ------------------------ 0.0% 95.6% 26 0.273s +─<Coq.Init.Tauto.simplif> -------------- 60.7% 92.7% 26 0.270s +─<Coq.Init.Tauto.is_conj> -------------- 24.1% 24.1% 28756 0.180s +─elim id ------------------------------- 4.7% 4.7% 650 0.003s ─<Coq.Init.Tauto.axioms> --------------- 2.1% 2.9% 0 0.004s -─split --------------------------------- 2.4% 2.4% 55 0.060s +─split --------------------------------- 2.4% 2.4% 55 0.069s tactic local total calls max ────────────────────────────────────────┴──────┴──────┴───────┴─────────┘ -─tac ----------------------------------- 0.1% 100.0% 1 2.651s - ├─<Coq.Init.Tauto.with_uniform_flags> - 0.0% 95.8% 26 0.269s - │└<Coq.Init.Tauto.tauto_gen> ---------- 0.0% 95.8% 26 0.269s - │└<Coq.Init.Tauto.tauto_intuitionistic> 0.0% 95.7% 26 0.269s - │└t_tauto_intuit ---------------------- 0.0% 95.6% 26 0.269s - │ ├─<Coq.Init.Tauto.simplif> ---------- 59.4% 92.7% 26 0.266s - │ │ ├─<Coq.Init.Tauto.is_conj> -------- 24.7% 24.7% 28756 0.178s - │ │ └─elim id ------------------------- 5.3% 5.3% 650 0.003s +─tac ----------------------------------- 0.1% 100.0% 1 2.992s + ├─<Coq.Init.Tauto.with_uniform_flags> - 0.0% 95.8% 26 0.274s + │└<Coq.Init.Tauto.tauto_gen> ---------- 0.0% 95.8% 26 0.274s + │└<Coq.Init.Tauto.tauto_intuitionistic> 0.0% 95.7% 26 0.273s + │└t_tauto_intuit ---------------------- 0.0% 95.6% 26 0.273s + │ ├─<Coq.Init.Tauto.simplif> ---------- 60.7% 92.7% 26 0.270s + │ │ ├─<Coq.Init.Tauto.is_conj> -------- 24.1% 24.1% 28756 0.180s + │ │ └─elim id ------------------------- 4.7% 4.7% 650 0.003s │ └─<Coq.Init.Tauto.axioms> ----------- 2.1% 2.9% 0 0.004s - └─split ------------------------------- 2.4% 2.4% 55 0.060s + └─split ------------------------------- 2.4% 2.4% 55 0.069s
Show Ltac Profile "lia". -
total time: 2.651s +
total time: 2.992s tactic local total calls max ────────────────────────────────────────┴──────┴──────┴───────┴─────────┘ diff --git a/master/refman/proofs/writing-proofs/equality.html b/master/refman/proofs/writing-proofs/equality.html index f7d3196d4d..b660225b71 100644 --- a/master/refman/proofs/writing-proofs/equality.html +++ b/master/refman/proofs/writing-proofs/equality.html @@ -2554,7 +2554,7 @@

Computing in a term: eval and EvalTime assert (id (fact 8) = fact 8) by reflexivity. -
Finished transaction in 0.117 secs (0.089u,0.027s) (successful) +
Finished transaction in 0.207 secs (0.184u,0.022s) (successful) 1 goal H : id (fact 8) = fact 8 @@ -2562,7 +2562,7 @@

Computing in a term: eval and EvalTime assert (id (fact 9) = fact 9) by reflexivity. -
Finished transaction in 0.857 secs (0.857u,0.s) (successful) +
Finished transaction in 1.532 secs (1.532u,0.s) (successful) 1 goal H : id (fact 8) = fact 8 @@ -2590,7 +2590,7 @@

Computing in a term: eval and EvalTime assert (id (fact 100) = fact 100) by with_strategy -1 [id] reflexivity. -
Finished transaction in 0.001 secs (0.001u,0.s) (successful) +
Finished transaction in 0.002 secs (0.002u,0.s) (successful) 1 goal H : id (fact 100) = fact 100 @@ -2625,7 +2625,7 @@

Computing in a term: eval and EvalTime assert (id (fact 100) = fact 100) by with_strategy -1 [id] abstract reflexivity. -
Finished transaction in 0.002 secs (0.002u,0.s) (successful) +
Finished transaction in 0.003 secs (0.003u,0.s) (successful) 1 goal H : id (fact 100) = fact 100 diff --git a/master/refman/searchindex.js b/master/refman/searchindex.js index 2a82992db2..207175bcca 100644 --- a/master/refman/searchindex.js +++ b/master/refman/searchindex.js @@ -1 +1 @@ -Search.setIndex({docnames:["addendum/canonical-structures","addendum/extended-pattern-matching","addendum/extraction","addendum/generalized-rewriting","addendum/implicit-coercions","addendum/micromega","addendum/miscellaneous-extensions","addendum/nsatz","addendum/parallel-proof-processing","addendum/program","addendum/ring","addendum/sprop","addendum/type-classes","addendum/universe-polymorphism","appendix/history-and-changes/index","appendix/indexes/index","changes","coq-attrindex","coq-cmdindex","coq-exnindex","coq-optindex","coq-tacindex","genindex","history","index","language/cic","language/coq-library","language/core/assumptions","language/core/basic","language/core/coinductive","language/core/conversion","language/core/definitions","language/core/index","language/core/inductive","language/core/modules","language/core/primitive","language/core/records","language/core/sections","language/core/sorts","language/core/variants","language/extensions/arguments-command","language/extensions/canonical","language/extensions/evars","language/extensions/implicit-arguments","language/extensions/index","language/extensions/match","language/gallina-extensions","language/gallina-specification-language","language/module-system","license","practical-tools/coq-commands","practical-tools/coqide","practical-tools/utilities","proof-engine/ltac","proof-engine/ltac2","proof-engine/proof-handling","proof-engine/ssreflect-proof-language","proof-engine/tactics","proof-engine/vernacular-commands","proofs/automatic-tactics/auto","proofs/automatic-tactics/index","proofs/automatic-tactics/logic","proofs/creating-tactics/index","proofs/writing-proofs/equality","proofs/writing-proofs/index","proofs/writing-proofs/proof-mode","proofs/writing-proofs/reasoning-inductives","proofs/writing-proofs/rewriting","std-glossindex","user-extensions/proof-schemes","user-extensions/syntax-extensions","using/libraries/funind","using/libraries/index","using/libraries/writing","using/tools/coqdoc","using/tools/index","zebibliography"],envversion:{"coqrst.coqdomain":2,"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":5,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.todo":2,sphinx:56},filenames:["addendum/canonical-structures.rst","addendum/extended-pattern-matching.rst","addendum/extraction.rst","addendum/generalized-rewriting.rst","addendum/implicit-coercions.rst","addendum/micromega.rst","addendum/miscellaneous-extensions.rst","addendum/nsatz.rst","addendum/parallel-proof-processing.rst","addendum/program.rst","addendum/ring.rst","addendum/sprop.rst","addendum/type-classes.rst","addendum/universe-polymorphism.rst","appendix/history-and-changes/index.rst","appendix/indexes/index.rst","changes.rst","coq-attrindex.rst","coq-cmdindex.rst","coq-exnindex.rst","coq-optindex.rst","coq-tacindex.rst","genindex.rst","history.rst","index.rst","language/cic.rst","language/coq-library.rst","language/core/assumptions.rst","language/core/basic.rst","language/core/coinductive.rst","language/core/conversion.rst","language/core/definitions.rst","language/core/index.rst","language/core/inductive.rst","language/core/modules.rst","language/core/primitive.rst","language/core/records.rst","language/core/sections.rst","language/core/sorts.rst","language/core/variants.rst","language/extensions/arguments-command.rst","language/extensions/canonical.rst","language/extensions/evars.rst","language/extensions/implicit-arguments.rst","language/extensions/index.rst","language/extensions/match.rst","language/gallina-extensions.rst","language/gallina-specification-language.rst","language/module-system.rst","license.rst","practical-tools/coq-commands.rst","practical-tools/coqide.rst","practical-tools/utilities.rst","proof-engine/ltac.rst","proof-engine/ltac2.rst","proof-engine/proof-handling.rst","proof-engine/ssreflect-proof-language.rst","proof-engine/tactics.rst","proof-engine/vernacular-commands.rst","proofs/automatic-tactics/auto.rst","proofs/automatic-tactics/index.rst","proofs/automatic-tactics/logic.rst","proofs/creating-tactics/index.rst","proofs/writing-proofs/equality.rst","proofs/writing-proofs/index.rst","proofs/writing-proofs/proof-mode.rst","proofs/writing-proofs/reasoning-inductives.rst","proofs/writing-proofs/rewriting.rst","std-glossindex.rst","user-extensions/proof-schemes.rst","user-extensions/syntax-extensions.rst","using/libraries/funind.rst","using/libraries/index.rst","using/libraries/writing.rst","using/tools/coqdoc.rst","using/tools/index.rst","zebibliography.rst"],objects:{"":[[70,0,1,"coq:exn.'via'-and-'abstract'-cannot-be-used-together","'via' and 'abstract' cannot be used together"],[53,1,1,"coq:tacn.+-(backtracking-branching)","+ (backtracking branching)"],[56,1,1,"coq:tacn.=>","=>"],[65,3,1,"coq:cmd.Abort","Abort"],[58,3,1,"coq:cmd.About","About"],[70,2,1,"coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-grammar-entry","Activation of abbreviations does not expect mentioning a grammar entry"],[70,2,1,"coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-scope","Activation of abbreviations does not expect mentioning a scope"],[28,3,1,"coq:cmd.Add","Add"],[10,3,1,"coq:cmd.Add-Field","Add Field"],[3,3,1,"coq:cmd.Add-Morphism","Add Morphism"],[3,3,1,"coq:cmd.Add-Parametric-Morphism","Add Parametric Morphism"],[3,3,1,"coq:cmd.Add-Parametric-Relation","Add Parametric Relation"],[3,3,1,"coq:cmd.Add-Parametric-Setoid","Add Parametric Setoid"],[3,3,1,"coq:cmd.Add-Relation","Add Relation"],[10,3,1,"coq:cmd.Add-Ring","Add Ring"],[3,3,1,"coq:cmd.Add-Setoid","Add Setoid"],[5,3,1,"coq:cmd.Add-Zify","Add Zify"],[9,3,1,"coq:cmd.Admit-Obligations","Admit Obligations"],[65,3,1,"coq:cmd.Admitted","Admitted"],[11,4,1,"coq:flag.Allow-StrictProp","Allow StrictProp"],[43,0,1,"coq:exn.Argument-at-position-\u2018natural\u2019-is-mentioned-more-than-once","Argument at position \u2018natural\u2019 is mentioned more than once"],[53,0,1,"coq:exn.Argument-of-match-does-not-evaluate-to-a-term","Argument of match does not evaluate to a term"],[40,3,1,"coq:cmd.Arguments","Arguments"],[43,0,1,"coq:exn.Arguments-given-by-name-or-position-not-supported-in-explicit-mode","Arguments given by name or position not supported in explicit mode"],[10,0,1,"coq:exn.Arguments-of-ring_simplify-do-not-have-all-the-same-type","Arguments of ring_simplify do not have all the same type"],[40,0,1,"coq:exn.Arguments-of-section-variables-such-as-\u2018name\u2019-may-not-be-renamed","Arguments of section variables such as \u2018name\u2019 may not be renamed"],[45,4,1,"coq:flag.Asymmetric-Patterns","Asymmetric Patterns"],[65,0,1,"coq:exn.Attempt-to-save-an-incomplete-proof","Attempt to save an incomplete proof"],[28,3,1,"coq:cmd.Attributes","Attributes"],[33,4,1,"coq:flag.Auto-Template-Polymorphism","Auto Template Polymorphism"],[33,2,1,"coq:warn.Automatically-declaring-\u2018ident\u2019-as-template-polymorphic","Automatically declaring \u2018ident\u2019 as template polymorphic"],[27,3,1,"coq:cmd.Axiom","Axiom"],[27,3,1,"coq:cmd.Axioms","Axioms"],[58,3,1,"coq:cmd.Back","Back"],[58,3,1,"coq:cmd.BackTo","BackTo"],[10,0,1,"coq:exn.Bad-lemma-for-decidability-of-equality","Bad lemma for decidability of equality"],[58,0,1,"coq:exn.Bad-magic-number","Bad magic number"],[63,0,1,"coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019","Bad occurrence number of \u2018qualid\u2019"],[11,2,1,"coq:warn.Bad-relevance","Bad relevance"],[10,0,1,"coq:exn.Bad-ring-structure","Bad ring structure"],[70,3,1,"coq:cmd.Bind-Scope","Bind Scope"],[66,4,1,"coq:flag.Boolean-Equality-Schemes","Boolean Equality Schemes"],[5,5,1,"coq:thm.Bound-on-the-ceiling-function","Bound on the ceiling function"],[65,0,1,"coq:exn.Brackets-do-not-support-multi-goal-selectors","Brackets do not support multi-goal selectors"],[65,6,1,"coq:opt.Bullet-Behavior","Bullet Behavior"],[71,2,1,"coq:warn.Cannot-build-functional-inversion-principle","Cannot build functional inversion principle"],[57,0,1,"coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion","Cannot change \u2018ident\u2019, it is used in conclusion"],[57,0,1,"coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019","Cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019"],[59,0,1,"coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference","Cannot coerce \u2018qualid\u2019 to an evaluable reference"],[71,2,1,"coq:warn.Cannot-define-graph-for-\u2018ident\u2019","Cannot define graph for \u2018ident\u2019"],[71,2,1,"coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019","Cannot define principle(s) for \u2018ident\u2019"],[10,0,1,"coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019","Cannot find a declared ring structure for equality \u2018term\u2019"],[10,0,1,"coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019","Cannot find a declared ring structure over \u2018term\u2019"],[63,0,1,"coq:exn.Cannot-find-a-relation-to-rewrite","Cannot find a relation to rewrite"],[63,0,1,"coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019","Cannot find any non-recursive equality over \u2018ident\u2019"],[71,0,1,"coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019","Cannot find induction information on \u2018qualid\u2019"],[71,0,1,"coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019","Cannot find inversion information for hypothesis \u2018ident\u2019"],[58,0,1,"coq:exn.Cannot-find-library-foo-in-loadpath","Cannot find library foo in loadpath"],[4,0,1,"coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019","Cannot find the source class of \u2018qualid\u2019"],[4,0,1,"coq:exn.Cannot-find-the-target-class","Cannot find the target class"],[34,2,1,"coq:warn.Cannot-import-local-constant,-it-will-be-ignored","Cannot import local constant, it will be ignored"],[70,0,1,"coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment","Cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment"],[70,0,1,"coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019","Cannot interpret this number as a value of type \u2018type\u2019"],[70,0,1,"coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019","Cannot interpret this string as a value of type \u2018type\u2019"],[58,0,1,"coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019","Cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019"],[57,0,1,"coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019","Cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019"],[57,0,1,"coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019","Cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019"],[61,0,1,"coq:exn.Cannot-recognize-a-boolean-equality","Cannot recognize a boolean equality"],[66,0,1,"coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019","Cannot recognize a statement based on \u2018reference\u2019"],[4,0,1,"coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019","Cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019"],[63,0,1,"coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference","Cannot turn [inductive|constructor] into an evaluable reference"],[71,0,1,"coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure","Cannot use mutual definition with well-founded recursion or measure"],[41,3,1,"coq:cmd.Canonical-Structure","Canonical Structure"],[58,0,1,"coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath","Can\u2019t find file \u2018ident\u2019 on loadpath"],[66,4,1,"coq:flag.Case-Analysis-Schemes","Case Analysis Schemes"],[5,5,1,"coq:thm.Case-split","Case split"],[39,0,1,"coq:exn.Casts-are-not-supported-in-this-pattern","Casts are not supported in this pattern"],[2,3,1,"coq:cmd.Cd","Cd"],[58,3,1,"coq:cmd.Check","Check"],[12,3,1,"coq:cmd.Class","Class"],[70,3,1,"coq:cmd.Close-Scope","Close Scope"],[29,3,1,"coq:cmd.CoFixpoint","CoFixpoint"],[29,3,1,"coq:cmd.CoInductive","CoInductive"],[4,3,1,"coq:cmd.Coercion","Coercion"],[65,3,1,"coq:cmd.Collection","Collection"],[66,3,1,"coq:cmd.Combined-Scheme","Combined Scheme"],[28,3,1,"coq:cmd.Comments","Comments"],[63,3,1,"coq:cmd.Compute","Compute"],[53,0,1,"coq:exn.Condition-not-satisfied","Condition not satisfied"],[27,3,1,"coq:cmd.Conjecture","Conjecture"],[27,3,1,"coq:cmd.Conjectures","Conjectures"],[13,3,1,"coq:cmd.Constraint","Constraint"],[37,3,1,"coq:cmd.Context","Context"],[43,4,1,"coq:flag.Contextual-Implicit","Contextual Implicit"],[50,4,1,"coq:flag.Coqtop-Exit-On-Error","Coqtop Exit On Error"],[31,3,1,"coq:cmd.Corollary","Corollary"],[59,3,1,"coq:cmd.Create-HintDb","Create HintDb"],[13,7,1,"coq:attr.Cumulative","Cumulative"],[13,4,1,"coq:flag.Cumulativity-Weak-Constraints","Cumulativity Weak Constraints"],[53,3,1,"coq:cmd.Debug","Debug"],[58,6,1,"coq:opt.Debug","Debug"],[59,4,1,"coq:flag.Debug-Auto","Debug Auto"],[59,4,1,"coq:flag.Debug-Eauto","Debug Eauto"],[56,4,1,"coq:flag.Debug-SsrMatching","Debug SsrMatching"],[56,4,1,"coq:flag.Debug-Ssreflect","Debug Ssreflect"],[59,4,1,"coq:flag.Debug-Trivial","Debug Trivial"],[53,0,1,"coq:exn.Debug-mode-not-available-in-the-IDE","Debug mode not available in the IDE"],[66,4,1,"coq:flag.Decidable-Equality-Schemes","Decidable Equality Schemes"],[70,3,1,"coq:cmd.Declare-Custom-Entry","Declare Custom Entry"],[63,3,1,"coq:cmd.Declare-Equivalent-Keys","Declare Equivalent Keys"],[12,3,1,"coq:cmd.Declare-Instance","Declare Instance"],[63,3,1,"coq:cmd.Declare-Left-Step","Declare Left Step"],[58,3,1,"coq:cmd.Declare-ML-Module","Declare ML Module"],[34,3,1,"coq:cmd.Declare-Module","Declare Module"],[3,3,1,"coq:cmd.Declare-Morphism","Declare Morphism"],[63,3,1,"coq:cmd.Declare-Reduction","Declare Reduction"],[63,3,1,"coq:cmd.Declare-Right-Step","Declare Right Step"],[70,3,1,"coq:cmd.Declare-Scope","Declare Scope"],[59,2,1,"coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile;-it-is-recommended-to-declare-a-toplevel-constant-instead","Declaring arbitrary terms as hints is fragile; it is recommended to declare a toplevel constant instead"],[57,6,1,"coq:opt.Default-Goal-Selector","Default Goal Selector"],[65,6,1,"coq:opt.Default-Proof-Mode","Default Proof Mode"],[65,6,1,"coq:opt.Default-Proof-Using","Default Proof Using"],[58,6,1,"coq:opt.Default-Timeout","Default Timeout"],[65,3,1,"coq:cmd.Defined","Defined"],[31,3,1,"coq:cmd.Definition","Definition"],[11,4,1,"coq:flag.Definitional-UIP","Definitional UIP"],[70,3,1,"coq:cmd.Delimit-Scope","Delimit Scope"],[6,3,1,"coq:cmd.Derive","Derive"],[66,3,1,"coq:cmd.Derive-Dependent-Inversion","Derive Dependent Inversion"],[66,3,1,"coq:cmd.Derive-Dependent-Inversion_clear","Derive Dependent Inversion_clear"],[66,3,1,"coq:cmd.Derive-Inversion","Derive Inversion"],[66,3,1,"coq:cmd.Derive-Inversion_clear","Derive Inversion_clear"],[65,6,1,"coq:opt.Diffs","Diffs"],[70,3,1,"coq:cmd.Disable-Notation","Disable Notation"],[58,3,1,"coq:cmd.Drop","Drop"],[5,6,1,"coq:opt.Dump-Arith","Dump Arith"],[58,0,1,"coq:exn.Dynlink-error:-execution-of-module-initializers-in-the","Dynlink error: execution of module initializers in the"],[45,0,1,"coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies","Either there is a type incompatibility or the problem involves dependencies"],[66,4,1,"coq:flag.Elimination-Schemes","Elimination Schemes"],[70,3,1,"coq:cmd.Enable-Notation","Enable Notation"],[37,3,1,"coq:cmd.End","End"],[70,0,1,"coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation","End of quoted string not followed by a space in notation"],[63,3,1,"coq:cmd.Eval","Eval"],[31,3,1,"coq:cmd.Example","Example"],[12,3,1,"coq:cmd.Existing-Class","Existing Class"],[12,3,1,"coq:cmd.Existing-Instance","Existing Instance"],[12,3,1,"coq:cmd.Existing-Instances","Existing Instances"],[34,3,1,"coq:cmd.Export","Export"],[53,0,1,"coq:exn.Expression-does-not-evaluate-to-a-tactic","Expression does not evaluate to a tactic"],[2,3,1,"coq:cmd.Extract-Constant","Extract Constant"],[2,3,1,"coq:cmd.Extract-Inductive","Extract Inductive"],[2,3,1,"coq:cmd.Extract-Inlined-Constant","Extract Inlined Constant"],[2,3,1,"coq:cmd.Extraction","Extraction"],[2,4,1,"coq:flag.Extraction-AutoInline","Extraction AutoInline"],[2,3,1,"coq:cmd.Extraction-Blacklist","Extraction Blacklist"],[2,4,1,"coq:flag.Extraction-Conservative-Types","Extraction Conservative Types"],[2,6,1,"coq:opt.Extraction-File-Comment","Extraction File Comment"],[2,6,1,"coq:opt.Extraction-Flag","Extraction Flag"],[2,3,1,"coq:cmd.Extraction-Implicit","Extraction Implicit"],[2,3,1,"coq:cmd.Extraction-Inline","Extraction Inline"],[2,4,1,"coq:flag.Extraction-KeepSingleton","Extraction KeepSingleton"],[2,3,1,"coq:cmd.Extraction-Language","Extraction Language"],[2,3,1,"coq:cmd.Extraction-Library","Extraction Library"],[2,3,1,"coq:cmd.Extraction-NoInline","Extraction NoInline"],[2,4,1,"coq:flag.Extraction-Optimize","Extraction Optimize"],[2,6,1,"coq:opt.Extraction-Output-Directory","Extraction Output Directory"],[2,4,1,"coq:flag.Extraction-SafeImplicits","Extraction SafeImplicits"],[2,3,1,"coq:cmd.Extraction-TestCompile","Extraction TestCompile"],[2,4,1,"coq:flag.Extraction-TypeExpand","Extraction TypeExpand"],[31,3,1,"coq:cmd.Fact","Fact"],[58,3,1,"coq:cmd.Fail","Fail"],[53,0,1,"coq:exn.Failed-to-progress","Failed to progress"],[58,4,1,"coq:flag.Fast-Name-Printing","Fast Name Printing"],[58,0,1,"coq:exn.File-not-found-on-loadpath:-\u2018string\u2019","File not found on loadpath: \u2018string\u2019"],[58,0,1,"coq:exn.Files-processed-by-Load-cannot-leave-open-proofs","Files processed by Load cannot leave open proofs"],[9,3,1,"coq:cmd.Final-Obligation","Final Obligation"],[61,6,1,"coq:opt.Firstorder-Depth","Firstorder Depth"],[61,6,1,"coq:opt.Firstorder-Solver","Firstorder Solver"],[33,3,1,"coq:cmd.Fixpoint","Fixpoint"],[40,0,1,"coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019","Flag 'rename' expected to rename \u2018name\u2019 into \u2018name\u2019"],[65,3,1,"coq:cmd.Focus","Focus"],[45,0,1,"coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected","Found a constructor of inductive type term while a constructor of term is expected"],[63,0,1,"coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause","Found an "at" clause without "with" clause"],[70,0,1,"coq:exn.Found-no-matching-notation-to-enable-or-disable","Found no matching notation to enable or disable"],[63,0,1,"coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal","Found no subterm matching \u2018term\u2019 in the current goal"],[63,0,1,"coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019","Found no subterm matching \u2018term\u2019 in \u2018ident\u2019"],[4,0,1,"coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019","Found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019"],[58,3,1,"coq:cmd.From-\u2026-Dependency","From \u2026 Dependency"],[58,3,1,"coq:cmd.From-\u2026-Require","From \u2026 Require"],[4,0,1,"coq:exn.Funclass-cannot-be-a-source-class","Funclass cannot be a source class"],[71,3,1,"coq:cmd.Function","Function"],[71,3,1,"coq:cmd.Functional-Case","Functional Case"],[71,3,1,"coq:cmd.Functional-Scheme","Functional Scheme"],[43,3,1,"coq:cmd.Generalizable","Generalizable"],[71,3,1,"coq:cmd.Generate-graph-for","Generate graph for"],[65,3,1,"coq:cmd.Goal","Goal"],[58,4,1,"coq:flag.Guard-Checking","Guard Checking"],[65,3,1,"coq:cmd.Guarded","Guarded"],[59,3,1,"coq:cmd.Hint-Constants","Hint Constants"],[59,3,1,"coq:cmd.Hint-Constructors","Hint Constructors"],[59,3,1,"coq:cmd.Hint-Cut","Hint Cut"],[59,3,1,"coq:cmd.Hint-Extern","Hint Extern"],[59,3,1,"coq:cmd.Hint-Immediate","Hint Immediate"],[59,3,1,"coq:cmd.Hint-Mode","Hint Mode"],[59,3,1,"coq:cmd.Hint-Opaque","Hint Opaque"],[59,3,1,"coq:cmd.Hint-Resolve","Hint Resolve"],[59,3,1,"coq:cmd.Hint-Rewrite","Hint Rewrite"],[59,3,1,"coq:cmd.Hint-Transparent","Hint Transparent"],[59,3,1,"coq:cmd.Hint-Unfold","Hint Unfold"],[59,3,1,"coq:cmd.Hint-Variables","Hint Variables"],[56,3,1,"coq:cmd.Hint-View-for","Hint View for"],[56,3,1,"coq:cmd.Hint-View-for-apply","Hint View for apply"],[56,3,1,"coq:cmd.Hint-View-for-move","Hint View for move"],[27,3,1,"coq:cmd.Hypotheses","Hypotheses"],[27,3,1,"coq:cmd.Hypothesis","Hypothesis"],[71,0,1,"coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function","Hypothesis \u2018ident\u2019 must contain at least one Function"],[65,6,1,"coq:opt.Hyps-Limit","Hyps Limit"],[61,0,1,"coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality","I don\u2019t know how to handle dependent equality"],[4,3,1,"coq:cmd.Identity-Coercion","Identity Coercion"],[12,2,1,"coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class","Ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class"],[43,2,1,"coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position","Ignoring implicit binder declaration in unexpected position"],[9,0,1,"coq:exn.Ill-formed-recursive-definition","Ill-formed recursive definition"],[33,0,1,"coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe","Ill-formed template inductive declaration: not polymorphic on any universe"],[43,4,1,"coq:flag.Implicit-Arguments","Implicit Arguments"],[43,3,1,"coq:cmd.Implicit-Type","Implicit Type"],[43,3,1,"coq:cmd.Implicit-Types","Implicit Types"],[34,3,1,"coq:cmd.Import","Import"],[34,3,1,"coq:cmd.Include","Include"],[34,3,1,"coq:cmd.Include-Type","Include Type"],[56,0,1,"coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)","Incorrect number of tactics (expected N tactics, was given M)"],[33,3,1,"coq:cmd.Inductive","Inductive"],[70,3,1,"coq:cmd.Infix","Infix"],[53,3,1,"coq:cmd.Info","Info"],[59,4,1,"coq:flag.Info-Auto","Info Auto"],[59,4,1,"coq:flag.Info-Eauto","Info Eauto"],[53,6,1,"coq:opt.Info-Level","Info Level"],[59,4,1,"coq:flag.Info-Trivial","Info Trivial"],[58,3,1,"coq:cmd.Inspect","Inspect"],[12,3,1,"coq:cmd.Instance","Instance"],[58,3,1,"coq:cmd.Instructions","Instructions"],[61,4,1,"coq:flag.Intuition-Negation-Unfolding","Intuition Negation Unfolding"],[58,0,1,"coq:exn.Invalid-backtrack","Invalid backtrack"],[66,8,1,"coq:table.Keep-Equalities","Keep Equalities"],[66,4,1,"coq:flag.Keep-Proof-Equalities","Keep Proof Equalities"],[63,4,1,"coq:flag.Kernel-Term-Sharing","Kernel Term Sharing"],[63,4,1,"coq:flag.Keyed-Unification","Keyed Unification"],[37,0,1,"coq:exn.Last-block-to-end-has-name-\u2018ident\u2019","Last block to end has name \u2018ident\u2019"],[31,3,1,"coq:cmd.Lemma","Lemma"],[37,3,1,"coq:cmd.Let","Let"],[37,3,1,"coq:cmd.Let-CoFixpoint","Let CoFixpoint"],[37,3,1,"coq:cmd.Let-Fixpoint","Let Fixpoint"],[5,4,1,"coq:flag.Lia-Cache","Lia Cache"],[58,3,1,"coq:cmd.Load","Load"],[58,0,1,"coq:exn.Load-is-not-supported-inside-proofs","Load is not supported inside proofs"],[58,3,1,"coq:cmd.Locate","Locate"],[58,3,1,"coq:cmd.Locate-File","Locate File"],[58,3,1,"coq:cmd.Locate-Library","Locate Library"],[58,3,1,"coq:cmd.Locate-Ltac","Locate Ltac"],[58,3,1,"coq:cmd.Locate-Ltac2","Locate Ltac2"],[58,3,1,"coq:cmd.Locate-Module","Locate Module"],[58,3,1,"coq:cmd.Locate-Term","Locate Term"],[59,6,1,"coq:opt.Loose-Hint-Behavior","Loose Hint Behavior"],[53,3,1,"coq:cmd.Ltac","Ltac"],[53,4,1,"coq:flag.Ltac-Backtrace","Ltac Backtrace"],[53,4,1,"coq:flag.Ltac-Batch-Debug","Ltac Batch Debug"],[53,4,1,"coq:flag.Ltac-Debug","Ltac Debug"],[53,4,1,"coq:flag.Ltac-Profiling","Ltac Profiling"],[54,3,1,"coq:cmd.Ltac2","Ltac2"],[54,4,1,"coq:flag.Ltac2-Backtrace","Ltac2 Backtrace"],[54,3,1,"coq:cmd.Ltac2-Check","Ltac2 Check"],[54,3,1,"coq:cmd.Ltac2-Eval","Ltac2 Eval"],[54,3,1,"coq:cmd.Ltac2-Globalize","Ltac2 Globalize"],[54,4,1,"coq:flag.Ltac2-In-Ltac1-Profiling","Ltac2 In Ltac1 Profiling"],[54,3,1,"coq:cmd.Ltac2-Notation","Ltac2 Notation"],[54,3,1,"coq:cmd.Ltac2-Notation-(abbreviation)","Ltac2 Notation (abbreviation)"],[54,3,1,"coq:cmd.Ltac2-Set","Ltac2 Set"],[54,3,1,"coq:cmd.Ltac2-Type","Ltac2 Type"],[54,3,1,"coq:cmd.Ltac2-external","Ltac2 external"],[43,2,1,"coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position","Making shadowed name of implicit argument accessible by position"],[65,4,1,"coq:flag.Mangle-Names","Mangle Names"],[65,4,1,"coq:flag.Mangle-Names-Light","Mangle Names Light"],[65,6,1,"coq:opt.Mangle-Names-Prefix","Mangle Names Prefix"],[43,4,1,"coq:flag.Maximal-Implicit-Insertion","Maximal Implicit Insertion"],[70,0,1,"coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019","Missing mapping for constructor \u2018qualid\u2019"],[34,3,1,"coq:cmd.Module","Module"],[34,3,1,"coq:cmd.Module-Type","Module Type"],[58,0,1,"coq:exn.Module/section-\u2018qualid\u2019-not-found","Module/section \u2018qualid\u2019 not found"],[13,7,1,"coq:attr.Monomorphic","Monomorphic"],[70,0,1,"coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier","More than one interpretation bound to this notation, confirm with the "all" modifier"],[70,0,1,"coq:exn.Multiple-'via'-options","Multiple 'via' options"],[70,0,1,"coq:exn.Multiple-'warning-after'-or-'abstract-after'-options","Multiple 'warning after' or 'abstract after' options"],[63,6,1,"coq:opt.NativeCompute-Profile-Filename","NativeCompute Profile Filename"],[63,4,1,"coq:flag.NativeCompute-Profiling","NativeCompute Profiling"],[63,4,1,"coq:flag.NativeCompute-Timing","NativeCompute Timing"],[65,4,1,"coq:flag.Nested-Proofs-Allowed","Nested Proofs Allowed"],[65,2,1,"coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one","New Collection definition of \u2018ident\u2019 shadows the previous one"],[9,3,1,"coq:cmd.Next-Obligation","Next Obligation"],[5,4,1,"coq:flag.Nia-Cache","Nia Cache"],[53,0,1,"coq:exn.No-applicable-tactic","No applicable tactic"],[71,0,1,"coq:exn.No-argument-name-\u2018ident\u2019","No argument name \u2018ident\u2019"],[53,0,1,"coq:exn.No-evars","No evars"],[34,0,1,"coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019","No field named \u2018ident\u2019 in \u2018qualid\u2019"],[65,0,1,"coq:exn.No-focused-proof","No focused proof"],[65,0,1,"coq:exn.No-focused-proof-(No-proof-editing-in-progress)","No focused proof (No proof-editing in progress)"],[65,0,1,"coq:exn.No-focused-proof-to-restart","No focused proof to restart"],[63,0,1,"coq:exn.No-head-constant-to-reduce","No head constant to reduce"],[53,0,1,"coq:exn.No-matching-clauses-for-match","No matching clauses for match"],[53,0,1,"coq:exn.No-matching-clauses-for-match-goal","No matching clauses for match goal"],[70,0,1,"coq:exn.No-notation-provided","No notation provided"],[66,0,1,"coq:exn.No-primitive-equality-found","No primitive equality found"],[57,0,1,"coq:exn.No-product-even-after-head-reduction","No product even after head-reduction"],[3,0,1,"coq:exn.No-progress-made","No progress made"],[57,0,1,"coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction","No quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction"],[57,0,1,"coq:exn.No-such-assumption","No such assumption"],[57,0,1,"coq:exn.No-such-binder","No such binder"],[57,0,1,"coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)","No such bound variable \u2018ident\u2019 (no bound variables at all in the expression)"],[65,0,1,"coq:exn.No-such-goal","No such goal"],[65,0,1,"coq:exn.No-such-goal-(\u2018ident\u2019)","No such goal (\u2018ident\u2019)"],[65,0,1,"coq:exn.No-such-goal-(\u2018natural\u2019)","No such goal (\u2018natural\u2019)"],[57,0,1,"coq:exn.No-such-hypothesis:-\u2018ident\u2019","No such hypothesis: \u2018ident\u2019"],[57,0,1,"coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction","No \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction"],[45,0,1,"coq:exn.Non-exhaustive-pattern-matching","Non exhaustive pattern matching"],[9,0,1,"coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition","Non extensible universe declaration not supported with monomorphic Program Definition"],[33,0,1,"coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019","Non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019"],[13,7,1,"coq:attr.NonCumulative","NonCumulative"],[66,4,1,"coq:flag.Nonrecursive-Elimination-Schemes","Nonrecursive Elimination Schemes"],[53,0,1,"coq:exn.Not-a-context-variable","Not a context variable"],[66,0,1,"coq:exn.Not-a-discriminable-equality","Not a discriminable equality"],[66,0,1,"coq:exn.Not-a-negated-primitive-equality","Not a negated primitive equality"],[10,0,1,"coq:exn.Not-a-valid-ring-equation","Not a valid ring equation"],[53,0,1,"coq:exn.Not-a-variable-or-hypothesis","Not a variable or hypothesis"],[53,0,1,"coq:exn.Not-an-evar","Not an evar"],[57,0,1,"coq:exn.Not-an-exact-proof","Not an exact proof"],[66,0,1,"coq:exn.Not-an-inductive-goal-with-1-constructor","Not an inductive goal with 1 constructor"],[66,0,1,"coq:exn.Not-an-inductive-goal-with-2-constructors","Not an inductive goal with 2 constructors"],[66,0,1,"coq:exn.Not-an-inductive-product","Not an inductive product"],[63,0,1,"coq:exn.Not-convertible","Not convertible"],[66,0,1,"coq:exn.Not-enough-constructors","Not enough constructors"],[43,0,1,"coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019","Not enough non implicit arguments to accept the argument bound to \u2018ident\u2019"],[43,0,1,"coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019","Not enough non implicit arguments to accept the argument bound to \u2018natural\u2019"],[53,0,1,"coq:exn.Not-equal","Not equal"],[53,0,1,"coq:exn.Not-equal-(due-to-universes)","Not equal (due to universes)"],[53,0,1,"coq:exn.Not-ground","Not ground"],[71,0,1,"coq:exn.Not-the-right-number-of-induction-arguments","Not the right number of induction arguments"],[57,0,1,"coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)","Not the right number of missing arguments (expected \u2018natural\u2019)"],[70,3,1,"coq:cmd.Notation","Notation"],[70,3,1,"coq:cmd.Notation-(abbreviation)","Notation (abbreviation)"],[54,0,1,"coq:exn.Notation-levels-must-range-between-0-and-6","Notation levels must range between 0 and 6"],[66,0,1,"coq:exn.Nothing-to-inject","Nothing to inject"],[3,0,1,"coq:exn.Nothing-to-rewrite","Nothing to rewrite"],[5,4,1,"coq:flag.Nra-Cache","Nra Cache"],[70,3,1,"coq:cmd.Number-Notation","Number Notation"],[9,3,1,"coq:cmd.Obligation","Obligation"],[9,3,1,"coq:cmd.Obligation-Tactic","Obligation Tactic"],[9,3,1,"coq:cmd.Obligations","Obligations"],[63,3,1,"coq:cmd.Opaque","Opaque"],[70,3,1,"coq:cmd.Open-Scope","Open Scope"],[65,3,1,"coq:cmd.Optimize-Heap","Optimize Heap"],[65,3,1,"coq:cmd.Optimize-Proof","Optimize Proof"],[27,3,1,"coq:cmd.Parameter","Parameter"],[27,3,1,"coq:cmd.Parameters","Parameters"],[43,4,1,"coq:flag.Parsing-Explicit","Parsing Explicit"],[13,7,1,"coq:attr.Polymorphic","Polymorphic"],[13,4,1,"coq:flag.Polymorphic-Inductive-Cumulativity","Polymorphic Inductive Cumulativity"],[13,0,1,"coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead","Polymorphic universe constraints can only be declared inside sections, use Monomorphic Constraint instead"],[13,0,1,"coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead","Polymorphic universes can only be declared inside sections, use Monomorphic Universe instead"],[58,4,1,"coq:flag.Positivity-Checking","Positivity Checking"],[56,3,1,"coq:cmd.Prenex-Implicits","Prenex Implicits"],[9,3,1,"coq:cmd.Preterm","Preterm"],[58,3,1,"coq:cmd.Primitive","Primitive"],[36,4,1,"coq:flag.Primitive-Projections","Primitive Projections"],[58,3,1,"coq:cmd.Print","Print"],[58,3,1,"coq:cmd.Print-All","Print All"],[58,3,1,"coq:cmd.Print-All-Dependencies","Print All Dependencies"],[58,3,1,"coq:cmd.Print-Assumptions","Print Assumptions"],[41,3,1,"coq:cmd.Print-Canonical-Projections","Print Canonical Projections"],[4,3,1,"coq:cmd.Print-Classes","Print Classes"],[4,3,1,"coq:cmd.Print-Coercion-Paths","Print Coercion Paths"],[4,3,1,"coq:cmd.Print-Coercions","Print Coercions"],[70,3,1,"coq:cmd.Print-Custom-Grammar","Print Custom Grammar"],[65,3,1,"coq:cmd.Print-Debug-GC","Print Debug GC"],[63,3,1,"coq:cmd.Print-Equivalent-Keys","Print Equivalent Keys"],[2,3,1,"coq:cmd.Print-Extraction-Blacklist","Print Extraction Blacklist"],[2,3,1,"coq:cmd.Print-Extraction-Inline","Print Extraction Inline"],[10,3,1,"coq:cmd.Print-Fields","Print Fields"],[61,3,1,"coq:cmd.Print-Firstorder-Solver","Print Firstorder Solver"],[70,3,1,"coq:cmd.Print-Grammar","Print Grammar"],[4,3,1,"coq:cmd.Print-Graph","Print Graph"],[59,3,1,"coq:cmd.Print-Hint","Print Hint"],[59,3,1,"coq:cmd.Print-HintDb","Print HintDb"],[43,3,1,"coq:cmd.Print-Implicit","Print Implicit"],[12,3,1,"coq:cmd.Print-Instances","Print Instances"],[70,3,1,"coq:cmd.Print-Keywords","Print Keywords"],[58,3,1,"coq:cmd.Print-Libraries","Print Libraries"],[58,3,1,"coq:cmd.Print-LoadPath","Print LoadPath"],[53,3,1,"coq:cmd.Print-Ltac","Print Ltac"],[53,3,1,"coq:cmd.Print-Ltac-Signatures","Print Ltac Signatures"],[54,3,1,"coq:cmd.Print-Ltac2","Print Ltac2"],[54,3,1,"coq:cmd.Print-Ltac2-Signatures","Print Ltac2 Signatures"],[54,3,1,"coq:cmd.Print-Ltac2-Type","Print Ltac2 Type"],[58,3,1,"coq:cmd.Print-ML-Modules","Print ML Modules"],[58,3,1,"coq:cmd.Print-ML-Path","Print ML Path"],[34,3,1,"coq:cmd.Print-Module","Print Module"],[34,3,1,"coq:cmd.Print-Module-Type","Print Module Type"],[34,3,1,"coq:cmd.Print-Namespace","Print Namespace"],[70,3,1,"coq:cmd.Print-Notation","Print Notation"],[58,3,1,"coq:cmd.Print-Opaque-Dependencies","Print Opaque Dependencies"],[28,3,1,"coq:cmd.Print-Options","Print Options"],[58,3,1,"coq:cmd.Print-Registered","Print Registered"],[59,3,1,"coq:cmd.Print-Rewrite-HintDb","Print Rewrite HintDb"],[10,3,1,"coq:cmd.Print-Rings","Print Rings"],[70,3,1,"coq:cmd.Print-Scope","Print Scope"],[70,3,1,"coq:cmd.Print-Scopes","Print Scopes"],[58,3,1,"coq:cmd.Print-Section","Print Section"],[63,3,1,"coq:cmd.Print-Strategies","Print Strategies"],[63,3,1,"coq:cmd.Print-Strategy","Print Strategy"],[28,3,1,"coq:cmd.Print-Table","Print Table"],[28,3,1,"coq:cmd.Print-Tables","Print Tables"],[58,3,1,"coq:cmd.Print-Transparent-Dependencies","Print Transparent Dependencies"],[12,3,1,"coq:cmd.Print-Typeclasses","Print Typeclasses"],[58,3,1,"coq:cmd.Print-Typing-Flags","Print Typing Flags"],[13,3,1,"coq:cmd.Print-Universes","Print Universes"],[70,3,1,"coq:cmd.Print-Visibility","Print Visibility"],[58,4,1,"coq:flag.Printing-All","Printing All"],[45,4,1,"coq:flag.Printing-Allow-Match-Default-Clause","Printing Allow Match Default Clause"],[4,8,1,"coq:table.Printing-Coercion","Printing Coercion"],[4,4,1,"coq:flag.Printing-Coercions","Printing Coercions"],[58,4,1,"coq:flag.Printing-Compact-Contexts","Printing Compact Contexts"],[36,8,1,"coq:table.Printing-Constructor","Printing Constructor"],[58,4,1,"coq:flag.Printing-Dependent-Evars-Line","Printing Dependent Evars Line"],[58,6,1,"coq:opt.Printing-Depth","Printing Depth"],[42,4,1,"coq:flag.Printing-Existential-Instances","Printing Existential Instances"],[45,4,1,"coq:flag.Printing-Factorizable-Match-Patterns","Printing Factorizable Match Patterns"],[26,4,1,"coq:flag.Printing-Float","Printing Float"],[65,4,1,"coq:flag.Printing-Goal-Names","Printing Goal Names"],[65,4,1,"coq:flag.Printing-Goal-Tags","Printing Goal Tags"],[45,8,1,"coq:table.Printing-If","Printing If"],[43,4,1,"coq:flag.Printing-Implicit","Printing Implicit"],[43,4,1,"coq:flag.Printing-Implicit-Defensive","Printing Implicit Defensive"],[45,8,1,"coq:table.Printing-Let","Printing Let"],[45,4,1,"coq:flag.Printing-Match-All-Subterms","Printing Match All Subterms"],[45,4,1,"coq:flag.Printing-Matching","Printing Matching"],[70,4,1,"coq:flag.Printing-Notations","Printing Notations"],[70,4,1,"coq:flag.Printing-Parentheses","Printing Parentheses"],[36,4,1,"coq:flag.Printing-Primitive-Projection-Parameters","Printing Primitive Projection Parameters"],[36,4,1,"coq:flag.Printing-Projections","Printing Projections"],[70,4,1,"coq:flag.Printing-Raw-Literals","Printing Raw Literals"],[36,8,1,"coq:table.Printing-Record","Printing Record"],[36,4,1,"coq:flag.Printing-Records","Printing Records"],[11,4,1,"coq:flag.Printing-Relevance-Marks","Printing Relevance Marks"],[45,4,1,"coq:flag.Printing-Synth","Printing Synth"],[58,4,1,"coq:flag.Printing-Unfocused","Printing Unfocused"],[36,4,1,"coq:flag.Printing-Unfolded-Projection-As-Match","Printing Unfolded Projection As Match"],[13,4,1,"coq:flag.Printing-Universes","Printing Universes"],[43,4,1,"coq:flag.Printing-Use-Implicit-Types","Printing Use Implicit Types"],[58,6,1,"coq:opt.Printing-Width","Printing Width"],[45,4,1,"coq:flag.Printing-Wildcard","Printing Wildcard"],[39,7,1,"coq:attr.Private","Private"],[13,4,1,"coq:flag.Private-Polymorphic-Universes","Private Polymorphic Universes"],[9,7,1,"coq:attr.Program","Program"],[9,4,1,"coq:flag.Program-Cases","Program Cases"],[9,4,1,"coq:flag.Program-Generalized-Coercion","Program Generalized Coercion"],[9,4,1,"coq:flag.Program-Mode","Program Mode"],[65,3,1,"coq:cmd.Proof","Proof"],[65,3,1,"coq:cmd.Proof-Mode","Proof Mode"],[65,3,1,"coq:cmd.Proof-`term`","Proof `term`"],[65,3,1,"coq:cmd.Proof-using","Proof using"],[59,3,1,"coq:cmd.Proof-with","Proof with"],[31,3,1,"coq:cmd.Property","Property"],[31,3,1,"coq:cmd.Proposition","Proposition"],[5,5,1,"coq:thm.Psatz","Psatz"],[2,3,1,"coq:cmd.Pwd","Pwd"],[65,3,1,"coq:cmd.Qed","Qed"],[58,3,1,"coq:cmd.Quit","Quit"],[36,3,1,"coq:cmd.Record","Record"],[36,0,1,"coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive","Records declared with the keyword Record or Structure cannot be recursive"],[2,3,1,"coq:cmd.Recursive-Extraction","Recursive Extraction"],[2,3,1,"coq:cmd.Recursive-Extraction-Library","Recursive Extraction Library"],[58,3,1,"coq:cmd.Redirect","Redirect"],[58,3,1,"coq:cmd.Register","Register"],[58,3,1,"coq:cmd.Register-Inline","Register Inline"],[63,4,1,"coq:flag.Regular-Subst-Tactic","Regular Subst Tactic"],[31,3,1,"coq:cmd.Remark","Remark"],[28,3,1,"coq:cmd.Remove","Remove"],[59,3,1,"coq:cmd.Remove-Hints","Remove Hints"],[58,3,1,"coq:cmd.Require","Require"],[58,3,1,"coq:cmd.Require-Export","Require Export"],[58,3,1,"coq:cmd.Require-Import","Require Import"],[70,3,1,"coq:cmd.Reserved-Infix","Reserved Infix"],[70,3,1,"coq:cmd.Reserved-Notation","Reserved Notation"],[58,3,1,"coq:cmd.Reset","Reset"],[2,3,1,"coq:cmd.Reset-Extraction-Blacklist","Reset Extraction Blacklist"],[2,3,1,"coq:cmd.Reset-Extraction-Inline","Reset Extraction Inline"],[58,3,1,"coq:cmd.Reset-Initial","Reset Initial"],[53,3,1,"coq:cmd.Reset-Ltac-Profile","Reset Ltac Profile"],[65,3,1,"coq:cmd.Restart","Restart"],[43,4,1,"coq:flag.Reversible-Pattern-Implicit","Reversible Pattern Implicit"],[66,4,1,"coq:flag.Rewriting-Schemes","Rewriting Schemes"],[10,0,1,"coq:exn.Ring-operation-should-be-declared-as-a-morphism","Ring operation should be declared as a morphism"],[11,0,1,"coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off","SProp is disallowed because the "Allow StrictProp" flag is off"],[65,3,1,"coq:cmd.Save","Save"],[66,3,1,"coq:cmd.Scheme","Scheme"],[66,3,1,"coq:cmd.Scheme-Boolean-Equality","Scheme Boolean Equality"],[66,3,1,"coq:cmd.Scheme-Equality","Scheme Equality"],[70,0,1,"coq:exn.Scope-delimiters-should-not-start-with-an-underscore","Scope delimiters should not start with an underscore"],[70,0,1,"coq:exn.Scope-names-should-not-start-with-an-underscore","Scope names should not start with an underscore"],[58,3,1,"coq:cmd.Search","Search"],[58,8,1,"coq:table.Search-Blacklist","Search Blacklist"],[58,4,1,"coq:flag.Search-Output-Name-Only","Search Output Name Only"],[58,3,1,"coq:cmd.SearchPattern","SearchPattern"],[58,3,1,"coq:cmd.SearchRewrite","SearchRewrite"],[37,3,1,"coq:cmd.Section","Section"],[63,0,1,"coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019","Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019"],[63,0,1,"coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion","Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion"],[2,3,1,"coq:cmd.Separate-Extraction","Separate Extraction"],[28,3,1,"coq:cmd.Set","Set"],[34,4,1,"coq:flag.Short-Module-Printing","Short Module Printing"],[65,3,1,"coq:cmd.Show","Show"],[65,3,1,"coq:cmd.Show-Conjectures","Show Conjectures"],[65,3,1,"coq:cmd.Show-Existentials","Show Existentials"],[2,3,1,"coq:cmd.Show-Extraction","Show Extraction"],[65,3,1,"coq:cmd.Show-Goal","Show Goal"],[65,3,1,"coq:cmd.Show-Intro","Show Intro"],[65,3,1,"coq:cmd.Show-Intros","Show Intros"],[5,3,1,"coq:cmd.Show-Lia-Profile","Show Lia Profile"],[53,3,1,"coq:cmd.Show-Ltac-Profile","Show Ltac Profile"],[65,3,1,"coq:cmd.Show-Match","Show Match"],[9,3,1,"coq:cmd.Show-Obligation-Tactic","Show Obligation Tactic"],[65,3,1,"coq:cmd.Show-Proof","Show Proof"],[65,3,1,"coq:cmd.Show-Universes","Show Universes"],[5,3,1,"coq:cmd.Show-Zify","Show Zify"],[34,0,1,"coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match","Signature components for field \u2018ident\u2019 do not match"],[58,4,1,"coq:flag.Silent","Silent"],[9,3,1,"coq:cmd.Solve-All-Obligations","Solve All Obligations"],[9,3,1,"coq:cmd.Solve-Obligations","Solve Obligations"],[65,4,1,"coq:flag.Solve-Unification-Constraints","Solve Unification Constraints"],[56,4,1,"coq:flag.SsrHave-NoTCResolution","SsrHave NoTCResolution"],[56,4,1,"coq:flag.SsrIdents","SsrIdents"],[56,4,1,"coq:flag.SsrOldRewriteGoalsOrder","SsrOldRewriteGoalsOrder"],[56,4,1,"coq:flag.SsrRewrite","SsrRewrite"],[70,2,1,"coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)","Stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed)"],[63,3,1,"coq:cmd.Strategy","Strategy"],[43,4,1,"coq:flag.Strict-Implicit","Strict Implicit"],[13,4,1,"coq:flag.Strict-Universe-Declaration","Strict Universe Declaration"],[70,3,1,"coq:cmd.String-Notation","String Notation"],[43,4,1,"coq:flag.Strongly-Strict-Implicit","Strongly Strict Implicit"],[66,4,1,"coq:flag.Structural-Injection","Structural Injection"],[36,3,1,"coq:cmd.Structure","Structure"],[4,3,1,"coq:cmd.SubClass","SubClass"],[58,3,1,"coq:cmd.Succeed","Succeed"],[65,4,1,"coq:flag.Suggest-Proof-Using","Suggest Proof Using"],[70,0,1,"coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])","Syntax error: [prim:reference] expected after 'Notation' (in [vernac:command])"],[70,0,1,"coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])","Syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command])"],[70,3,1,"coq:cmd.Tactic-Notation","Tactic Notation"],[53,0,1,"coq:exn.Tactic-failure","Tactic failure"],[53,0,1,"coq:exn.Tactic-failure-(level-\u2018natural\u2019)","Tactic failure (level \u2018natural\u2019)"],[53,0,1,"coq:exn.Tactic-failure:--succeeds","Tactic failure: <tactic closure> succeeds"],[63,0,1,"coq:exn.Tactic-failure:-Setoid-library-not-loaded","Tactic failure: Setoid library not loaded"],[63,0,1,"coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal","Tactic generated a subgoal identical to the original goal"],[63,0,1,"coq:exn.Terms-do-not-have-convertible-types","Terms do not have convertible types"],[28,3,1,"coq:cmd.Test","Test"],[59,0,1,"coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic","The "at" syntax isn't available yet for the autorewrite tactic"],[40,0,1,"coq:exn.The-&-modifier-may-only-occur-once","The & modifier may only occur once"],[70,2,1,"coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type","The 'abstract after' directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type"],[40,0,1,"coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given","The 'clear implicits' flag must be omitted if implicit annotations are given"],[40,0,1,"coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations","The 'default implicits' flag is incompatible with implicit annotations"],[40,0,1,"coq:exn.The-/-modifier-may-only-occur-once","The / modifier may only occur once"],[58,0,1,"coq:exn.The-command-has-not-failed!","The command has not failed!"],[33,0,1,"coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019","The conclusion of \u2018type\u2019 is not valid; it must be built from \u2018ident\u2019"],[45,0,1,"coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments","The constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments"],[13,0,1,"coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context","The cumulative attribute can only be used in a polymorphic context"],[45,0,1,"coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)","The elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case)"],[34,0,1,"coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019","The field \u2018ident\u2019 is missing in \u2018qualid\u2019"],[71,0,1,"coq:exn.The-recursive-argument-must-be-specified","The recursive argument must be specified"],[54,0,1,"coq:exn.The-reference-X-was-not-found-in-the-current-environment","The reference X was not found in the current environment"],[63,0,1,"coq:exn.The-reference-is-not-unfoldable","The reference is not unfoldable"],[63,0,1,"coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment","The reference \u2018qualid\u2019 was not found in the current environment"],[57,0,1,"coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type","The term "\u2018type\u2019" has type "\u2018type\u2019" which should be Set, Prop or Type"],[31,0,1,"coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type","The term \u2018term\u2019 has type \u2018type\u2019 which should be Set, Prop or Type"],[31,0,1,"coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'","The term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019'"],[66,0,1,"coq:exn.The-type-has-no-constructors","The type has no constructors"],[58,0,1,"coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked","The type \u2018ident\u2019 must be registered before this construction can be typechecked"],[45,0,1,"coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term","The variable ident is bound several times in pattern term"],[57,0,1,"coq:exn.The-variable-\u2018ident\u2019-is-already-declared","The variable \u2018ident\u2019 is already declared"],[39,0,1,"coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019","The \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019"],[31,3,1,"coq:cmd.Theorem","Theorem"],[53,0,1,"coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019","There is already an Ltac named \u2018qualid\u2019"],[53,0,1,"coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019","There is no Ltac named \u2018qualid\u2019"],[28,2,1,"coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\"","There is no flag or option with this name: "\u2018setting_name\u2019""],[28,0,1,"coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\"","There is no flag, option or table with this name: "\u2018setting_name\u2019""],[28,0,1,"coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\"","There is no qualid-valued table with this name: "\u2018setting_name\u2019""],[28,0,1,"coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\"","There is no string-valued table with this name: "\u2018setting_name\u2019""],[37,0,1,"coq:exn.There-is-nothing-to-end","There is nothing to end"],[28,2,1,"coq:warn.This-command-does-not-support-this-attribute","This command does not support this attribute"],[58,0,1,"coq:exn.This-object-does-not-support-universe-names","This object does not support universe names"],[65,0,1,"coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way","This proof is focused, but cannot be unfocused this way"],[53,0,1,"coq:exn.This-tactic-has-more-than-one-success","This tactic has more than one success"],[58,3,1,"coq:cmd.Time","Time"],[58,3,1,"coq:cmd.Timeout","Timeout"],[70,2,1,"coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019","To avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019"],[40,0,1,"coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified","To rename arguments the 'rename' flag must be specified"],[63,3,1,"coq:cmd.Transparent","Transparent"],[9,4,1,"coq:flag.Transparent-Obligations","Transparent Obligations"],[34,2,1,"coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!","Trying to mask the absolute name \u2018qualid\u2019!"],[58,3,1,"coq:cmd.Type","Type"],[66,0,1,"coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019","Type of \u2018ident\u2019 is not an equality of recognized \u03a3 types: expected one of sig sig2 sigT sigT2 sigT2 ex or ex2 but got \u2018term\u2019"],[12,4,1,"coq:flag.Typeclass-Resolution-For-Conversion","Typeclass Resolution For Conversion"],[12,4,1,"coq:flag.Typeclasses-Debug","Typeclasses Debug"],[12,6,1,"coq:opt.Typeclasses-Debug-Verbosity","Typeclasses Debug Verbosity"],[12,4,1,"coq:flag.Typeclasses-Dependency-Order","Typeclasses Dependency Order"],[12,6,1,"coq:opt.Typeclasses-Depth","Typeclasses Depth"],[12,4,1,"coq:flag.Typeclasses-Iterative-Deepening","Typeclasses Iterative Deepening"],[12,4,1,"coq:flag.Typeclasses-Limit-Intros","Typeclasses Limit Intros"],[12,3,1,"coq:cmd.Typeclasses-Opaque","Typeclasses Opaque"],[12,4,1,"coq:flag.Typeclasses-Strict-Resolution","Typeclasses Strict Resolution"],[12,3,1,"coq:cmd.Typeclasses-Transparent","Typeclasses Transparent"],[12,4,1,"coq:flag.Typeclasses-Unique-Instances","Typeclasses Unique Instances"],[12,4,1,"coq:flag.Typeclasses-Unique-Solutions","Typeclasses Unique Solutions"],[12,3,1,"coq:cmd.Typeclasses-eauto","Typeclasses eauto"],[66,0,1,"coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019","Unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019"],[57,0,1,"coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019","Unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019"],[45,0,1,"coq:exn.Unable-to-infer-a-match-predicate","Unable to infer a match predicate"],[3,0,1,"coq:exn.Unable-to-satisfy-the-rewriting-constraints","Unable to satisfy the rewriting constraints"],[57,0,1,"coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019","Unable to unify \u2018one_term\u2019 with \u2018one_term\u2019"],[54,0,1,"coq:exn.Unbound-[value|constructor]-X","Unbound [value|constructor] X"],[53,0,1,"coq:exn.Unbound-context-identifier-\u2018ident\u2019","Unbound context identifier \u2018ident\u2019"],[13,0,1,"coq:exn.Undeclared-universe-\u2018ident\u2019","Undeclared universe \u2018ident\u2019"],[70,3,1,"coq:cmd.Undelimit-Scope","Undelimit Scope"],[65,3,1,"coq:cmd.Undo","Undo"],[70,0,1,"coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation","Unexpected non-option term \u2018term\u2019 while parsing a number notation"],[70,0,1,"coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation","Unexpected non-option term \u2018term\u2019 while parsing a string notation"],[70,0,1,"coq:exn.Unexpected-only-parsing-for-an-only-printing-notation","Unexpected only parsing for an only printing notation"],[70,0,1,"coq:exn.Unexpected-only-printing-for-an-only-parsing-notation","Unexpected only printing for an only parsing notation"],[70,0,1,"coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation","Unexpected term \u2018term\u2019 while parsing a number notation"],[70,0,1,"coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation","Unexpected term \u2018term\u2019 while parsing a string notation"],[65,3,1,"coq:cmd.Unfocus","Unfocus"],[65,3,1,"coq:cmd.Unfocused","Unfocused"],[33,4,1,"coq:flag.Uniform-Inductive-Parameters","Uniform Inductive Parameters"],[13,3,1,"coq:cmd.Universe","Universe"],[58,4,1,"coq:flag.Universe-Checking","Universe Checking"],[13,4,1,"coq:flag.Universe-Minimization-ToSet","Universe Minimization ToSet"],[13,4,1,"coq:flag.Universe-Polymorphism","Universe Polymorphism"],[13,0,1,"coq:exn.Universe-inconsistency","Universe inconsistency"],[58,0,1,"coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019","Universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019"],[13,3,1,"coq:cmd.Universes","Universes"],[70,0,1,"coq:exn.Unknown-custom-entry","Unknown custom entry"],[70,0,1,"coq:exn.Unknown-custom-entry:-\u2018ident\u2019","Unknown custom entry: \u2018ident\u2019"],[65,0,1,"coq:exn.Unknown-inductive-type","Unknown inductive type"],[28,3,1,"coq:cmd.Unset","Unset"],[65,3,1,"coq:cmd.Unshelve","Unshelve"],[70,0,1,"coq:exn.Unterminated-string-in-notation","Unterminated string in notation"],[70,2,1,"coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax","Use of \u2018string\u2019 Notation is deprecated as it is inconsistent with pattern syntax"],[65,3,1,"coq:cmd.Validate-Proof","Validate Proof"],[27,3,1,"coq:cmd.Variable","Variable"],[65,2,1,"coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables","Variable All is shadowed by Collection named All containing all variables"],[27,3,1,"coq:cmd.Variables","Variables"],[39,3,1,"coq:cmd.Variant","Variant"],[58,6,1,"coq:opt.Warnings","Warnings"],[43,0,1,"coq:exn.Wrong-argument-name","Wrong argument name"],[43,0,1,"coq:exn.Wrong-argument-position","Wrong argument position"],[65,0,1,"coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here","Wrong bullet \u2018bullet\u2019: Bullet \u2018bullet\u2019 is mandatory here"],[65,0,1,"coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished","Wrong bullet \u2018bullet\u2019: Current bullet \u2018bullet\u2019 is not finished"],[53,1,1,"coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)","[ \u2026 | \u2026 | \u2026 ] (dispatch)"],[53,1,1,"coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)","[> \u2026 | \u2026 | \u2026 ] (dispatch)"],[65,1,1,"coq:tacn.abstract","abstract"],[56,1,1,"coq:tacn.abstract-(ssreflect)","abstract (ssreflect)"],[57,1,1,"coq:tacn.absurd","absurd"],[70,7,1,"coq:attr.add_bottom","add_bottom"],[70,7,1,"coq:attr.add_top","add_top"],[65,1,1,"coq:tacn.admit","admit"],[57,1,1,"coq:tacn.apply","apply"],[56,1,1,"coq:tacn.apply-(ssreflect)","apply (ssreflect)"],[57,1,1,"coq:tacn.assert","assert"],[53,1,1,"coq:tacn.assert_fails","assert_fails"],[53,1,1,"coq:tacn.assert_succeeds","assert_succeeds"],[57,1,1,"coq:tacn.assumption","assumption"],[59,1,1,"coq:tacn.auto","auto"],[12,1,1,"coq:tacn.autoapply","autoapply"],[59,1,1,"coq:tacn.autorewrite","autorewrite"],[59,1,1,"coq:tacn.autounfold","autounfold"],[59,1,1,"coq:tacn.autounfold_one","autounfold_one"],[61,1,1,"coq:tacn.btauto","btauto"],[65,1,1,"coq:tacn.bullet-(--+-*)","bullet (- + *)"],[56,1,1,"coq:tacn.by","by"],[58,7,1,"coq:attr.bypass_check(guard)","bypass_check(guard)"],[58,7,1,"coq:attr.bypass_check(positivity)","bypass_check(positivity)"],[58,7,1,"coq:attr.bypass_check(universes)","bypass_check(universes)"],[41,7,1,"coq:attr.canonical","canonical"],[66,1,1,"coq:tacn.case","case"],[56,1,1,"coq:tacn.case-(ssreflect)","case (ssreflect)"],[66,1,1,"coq:tacn.case_eq","case_eq"],[63,1,1,"coq:tacn.cbn","cbn"],[63,1,1,"coq:tacn.cbv","cbv"],[63,1,1,"coq:tacn.change","change"],[63,1,1,"coq:tacn.change_no_check","change_no_check"],[57,1,1,"coq:tacn.classical_left","classical_left"],[57,1,1,"coq:tacn.classical_right","classical_right"],[57,1,1,"coq:tacn.clear","clear"],[57,1,1,"coq:tacn.clear-dependent","clear dependent"],[37,7,1,"coq:attr.clearbody","clearbody"],[57,1,1,"coq:tacn.clearbody","clearbody"],[66,1,1,"coq:tacn.cofix","cofix"],[66,1,1,"coq:tacn.compare","compare"],[63,1,1,"coq:tacn.compute","compute"],[56,1,1,"coq:tacn.congr","congr"],[61,1,1,"coq:tacn.congruence","congruence"],[53,1,1,"coq:tacn.constr_eq","constr_eq"],[53,1,1,"coq:tacn.constr_eq_nounivs","constr_eq_nounivs"],[53,1,1,"coq:tacn.constr_eq_strict","constr_eq_strict"],[66,1,1,"coq:tacn.constructor","constructor"],[53,1,1,"coq:tacn.context","context"],[57,1,1,"coq:tacn.contradict","contradict"],[57,1,1,"coq:tacn.contradiction","contradiction"],[53,1,1,"coq:tacn.convert","convert"],[57,1,1,"coq:tacn.cut","cut"],[63,1,1,"coq:tacn.cutrewrite","cutrewrite"],[65,1,1,"coq:tacn.cycle","cycle"],[59,1,1,"coq:tacn.debug-auto","debug auto"],[59,1,1,"coq:tacn.debug-eauto","debug eauto"],[59,1,1,"coq:tacn.debug-trivial","debug trivial"],[66,1,1,"coq:tacn.decide","decide"],[66,1,1,"coq:tacn.decide-equality","decide equality"],[66,1,1,"coq:tacn.decompose","decompose"],[66,1,1,"coq:tacn.decompose-record","decompose record"],[66,1,1,"coq:tacn.decompose-sum","decompose sum"],[66,1,1,"coq:tacn.dependent-destruction","dependent destruction"],[57,1,1,"coq:tacn.dependent-generalize_eqs","dependent generalize_eqs"],[57,1,1,"coq:tacn.dependent-generalize_eqs_vars","dependent generalize_eqs_vars"],[66,1,1,"coq:tacn.dependent-induction","dependent induction"],[66,1,1,"coq:tacn.dependent-inversion","dependent inversion"],[66,1,1,"coq:tacn.dependent-inversion_clear","dependent inversion_clear"],[66,1,1,"coq:tacn.dependent-rewrite","dependent rewrite"],[66,1,1,"coq:tacn.dependent-simple-inversion","dependent simple inversion"],[73,7,1,"coq:attr.deprecated","deprecated"],[66,1,1,"coq:tacn.destauto","destauto"],[66,1,1,"coq:tacn.destruct","destruct"],[59,1,1,"coq:tacn.dfs-eauto","dfs eauto"],[61,1,1,"coq:tacn.dintuition","dintuition"],[26,1,1,"coq:tacn.discrR","discrR"],[66,1,1,"coq:tacn.discriminate","discriminate"],[53,1,1,"coq:tacn.do","do"],[56,1,1,"coq:tacn.do-(ssreflect)","do (ssreflect)"],[56,1,1,"coq:tacn.done","done"],[61,1,1,"coq:tacn.dtauto","dtauto"],[57,1,1,"coq:tacn.eapply","eapply"],[57,1,1,"coq:tacn.eassert","eassert"],[57,1,1,"coq:tacn.eassumption","eassumption"],[59,1,1,"coq:tacn.easy","easy"],[59,1,1,"coq:tacn.eauto","eauto"],[66,1,1,"coq:tacn.ecase","ecase"],[66,1,1,"coq:tacn.econstructor","econstructor"],[66,1,1,"coq:tacn.edestruct","edestruct"],[66,1,1,"coq:tacn.ediscriminate","ediscriminate"],[66,1,1,"coq:tacn.eelim","eelim"],[57,1,1,"coq:tacn.eenough","eenough"],[57,1,1,"coq:tacn.eexact","eexact"],[66,1,1,"coq:tacn.eexists","eexists"],[66,1,1,"coq:tacn.einduction","einduction"],[66,1,1,"coq:tacn.einjection","einjection"],[57,1,1,"coq:tacn.eintros","eintros"],[66,1,1,"coq:tacn.eleft","eleft"],[66,1,1,"coq:tacn.elim","elim"],[56,1,1,"coq:tacn.elim-(ssreflect)","elim (ssreflect)"],[57,1,1,"coq:tacn.enough","enough"],[57,1,1,"coq:tacn.epose","epose"],[57,1,1,"coq:tacn.epose-proof","epose proof"],[57,1,1,"coq:tacn.eremember","eremember"],[63,1,1,"coq:tacn.erewrite","erewrite"],[66,1,1,"coq:tacn.eright","eright"],[57,1,1,"coq:tacn.eset","eset"],[66,1,1,"coq:tacn.esimplify_eq","esimplify_eq"],[66,1,1,"coq:tacn.esplit","esplit"],[63,1,1,"coq:tacn.etransitivity","etransitivity"],[63,1,1,"coq:tacn.eval","eval"],[57,1,1,"coq:tacn.evar","evar"],[57,1,1,"coq:tacn.exact","exact"],[56,1,1,"coq:tacn.exact-(ssreflect)","exact (ssreflect)"],[57,1,1,"coq:tacn.exact_no_check","exact_no_check"],[53,1,1,"coq:tacn.exactly_once","exactly_once"],[57,1,1,"coq:tacn.exfalso","exfalso"],[66,1,1,"coq:tacn.exists","exists"],[34,7,1,"coq:attr.export","export"],[63,1,1,"coq:tacn.f_equal","f_equal"],[53,1,1,"coq:tacn.fail","fail"],[10,1,1,"coq:tacn.field","field"],[10,1,1,"coq:tacn.field_lookup","field_lookup"],[10,1,1,"coq:tacn.field_simplify","field_simplify"],[10,1,1,"coq:tacn.field_simplify_eq","field_simplify_eq"],[53,1,1,"coq:tacn.finish_timing","finish_timing"],[53,1,1,"coq:tacn.first","first"],[56,1,1,"coq:tacn.first-(ssreflect)","first (ssreflect)"],[56,9,1,"coq:tacv.first-last","first last"],[61,1,1,"coq:tacn.firstorder","firstorder"],[66,1,1,"coq:tacn.fix","fix"],[63,1,1,"coq:tacn.fold","fold"],[53,1,1,"coq:tacn.fresh","fresh"],[53,1,1,"coq:tacn.fun","fun"],[71,1,1,"coq:tacn.functional-induction","functional induction"],[71,1,1,"coq:tacn.functional-inversion","functional inversion"],[57,1,1,"coq:tacn.generalize","generalize"],[57,1,1,"coq:tacn.generalize-dependent","generalize dependent"],[57,1,1,"coq:tacn.generalize_eqs","generalize_eqs"],[57,1,1,"coq:tacn.generalize_eqs_vars","generalize_eqs_vars"],[56,1,1,"coq:tacn.generally-have","generally have"],[53,1,1,"coq:tacn.gfail","gfail"],[61,1,1,"coq:tacn.gintuition","gintuition"],[65,1,1,"coq:tacn.give_up","give_up"],[34,7,1,"coq:attr.global","global"],[53,1,1,"coq:tacn.guard","guard"],[53,1,1,"coq:tacn.has_evar","has_evar"],[56,1,1,"coq:tacn.have","have"],[3,1,1,"coq:tacn.head_of_constr","head_of_constr"],[63,1,1,"coq:tacn.hnf","hnf"],[53,1,1,"coq:tacn.idtac","idtac"],[54,1,1,"coq:tacn.if-then-else-(Ltac2)","if-then-else (Ltac2)"],[56,1,1,"coq:tacn.in","in"],[66,1,1,"coq:tacn.induction","induction"],[53,3,1,"coq:cmd.infoH","infoH"],[59,1,1,"coq:tacn.info_auto","info_auto"],[59,1,1,"coq:tacn.info_eauto","info_eauto"],[59,1,1,"coq:tacn.info_trivial","info_trivial"],[66,1,1,"coq:tacn.injection","injection"],[57,1,1,"coq:tacn.instantiate","instantiate"],[57,1,1,"coq:tacn.intro","intro"],[57,1,1,"coq:tacn.intros","intros"],[57,1,1,"coq:tacn.intros-until","intros until"],[61,1,1,"coq:tacn.intuition","intuition"],[66,1,1,"coq:tacn.inversion","inversion"],[66,1,1,"coq:tacn.inversion_clear","inversion_clear"],[66,1,1,"coq:tacn.inversion_sigma","inversion_sigma"],[53,1,1,"coq:tacn.is_cofix","is_cofix"],[53,1,1,"coq:tacn.is_const","is_const"],[53,1,1,"coq:tacn.is_constructor","is_constructor"],[53,1,1,"coq:tacn.is_evar","is_evar"],[53,1,1,"coq:tacn.is_fix","is_fix"],[53,1,1,"coq:tacn.is_ground","is_ground"],[53,1,1,"coq:tacn.is_ind","is_ind"],[53,1,1,"coq:tacn.is_proj","is_proj"],[53,1,1,"coq:tacn.is_var","is_var"],[57,1,1,"coq:tacn.lapply","lapply"],[57,0,1,"coq:exn.lapply-needs-a-non-dependent-product","lapply needs a non-dependent product"],[56,1,1,"coq:tacn.last","last"],[56,9,1,"coq:tacv.last-first","last first"],[63,1,1,"coq:tacn.lazy","lazy"],[54,1,1,"coq:tacn.lazy_match!","lazy_match!"],[54,1,1,"coq:tacn.lazy_match!-goal","lazy_match! goal"],[53,1,1,"coq:tacn.lazymatch","lazymatch"],[53,1,1,"coq:tacn.lazymatch-goal","lazymatch goal"],[66,1,1,"coq:tacn.left","left"],[53,1,1,"coq:tacn.let","let"],[5,1,1,"coq:tacn.lia","lia"],[34,7,1,"coq:attr.local","local"],[5,1,1,"coq:tacn.lra","lra"],[53,1,1,"coq:tacn.ltac-seq","ltac-seq"],[53,1,1,"coq:tacn.match","match"],[54,1,1,"coq:tacn.match-(Ltac2)","match (Ltac2)"],[53,1,1,"coq:tacn.match-goal","match goal"],[54,1,1,"coq:tacn.match!","match!"],[54,1,1,"coq:tacn.match!-goal","match! goal"],[57,1,1,"coq:tacn.move","move"],[56,1,1,"coq:tacn.move-(ssreflect)","move (ssreflect)"],[54,1,1,"coq:tacn.multi_match!","multi_match!"],[54,1,1,"coq:tacn.multi_match!-goal","multi_match! goal"],[53,1,1,"coq:tacn.multimatch","multimatch"],[53,1,1,"coq:tacn.multimatch-goal","multimatch goal"],[57,1,1,"coq:tacn.native_cast_no_check","native_cast_no_check"],[63,1,1,"coq:tacn.native_compute","native_compute"],[5,1,1,"coq:tacn.nia","nia"],[4,7,1,"coq:attr.nonuniform","nonuniform"],[53,0,1,"coq:exn.not-a-cofix-definition","not a cofix definition"],[53,0,1,"coq:exn.not-a-constant","not a constant"],[53,0,1,"coq:exn.not-a-constructor","not a constructor"],[53,0,1,"coq:exn.not-a-fix-definition","not a fix definition"],[53,0,1,"coq:exn.not-a-primitive-projection","not a primitive projection"],[53,0,1,"coq:exn.not-an-(co)inductive-datatype","not an (co)inductive datatype"],[53,1,1,"coq:tacn.not_evar","not_evar"],[59,1,1,"coq:tacn.now","now"],[63,1,1,"coq:tacn.now_show","now_show"],[5,1,1,"coq:tacn.nra","nra"],[7,1,1,"coq:tacn.nsatz","nsatz"],[7,1,1,"coq:tacn.nsatz_compute","nsatz_compute"],[53,1,1,"coq:tacn.numgoals","numgoals"],[53,1,1,"coq:tacn.once","once"],[53,1,1,"coq:tacn.only","only"],[53,1,1,"coq:tacn.optimize_heap","optimize_heap"],[56,1,1,"coq:tacn.over","over"],[70,0,1,"coq:exn.overflow-in-int63-literal-\u2018bigint\u2019","overflow in int63 literal \u2018bigint\u2019"],[63,1,1,"coq:tacn.pattern","pattern"],[57,1,1,"coq:tacn.pose","pose"],[56,1,1,"coq:tacn.pose-(ssreflect)","pose (ssreflect)"],[57,1,1,"coq:tacn.pose-proof","pose proof"],[39,7,1,"coq:attr.private(matching)","private(matching)"],[9,7,1,"coq:attr.program","program"],[53,1,1,"coq:tacn.progress","progress"],[36,7,1,"coq:attr.projections(primitive)","projections(primitive)"],[10,1,1,"coq:tacn.protect_fv","protect_fv"],[5,1,1,"coq:tacn.psatz","psatz"],[58,0,1,"coq:exn.public-name-according-to-findlib,-for-example","public name according to findlib, for example"],[57,1,1,"coq:tacn.rapply","rapply"],[63,1,1,"coq:tacn.red","red"],[12,7,1,"coq:attr.refine","refine"],[57,1,1,"coq:tacn.refine","refine"],[63,1,1,"coq:tacn.reflexivity","reflexivity"],[57,1,1,"coq:tacn.remember","remember"],[57,1,1,"coq:tacn.rename","rename"],[53,1,1,"coq:tacn.repeat","repeat"],[63,1,1,"coq:tacn.replace","replace"],[53,1,1,"coq:tacn.reset-ltac-profile","reset ltac profile"],[53,1,1,"coq:tacn.restart_timer","restart_timer"],[4,7,1,"coq:attr.reversible","reversible"],[57,1,1,"coq:tacn.revert","revert"],[57,1,1,"coq:tacn.revert-dependent","revert dependent"],[65,1,1,"coq:tacn.revgoals","revgoals"],[63,1,1,"coq:tacn.rewrite","rewrite"],[56,1,1,"coq:tacn.rewrite-(ssreflect)","rewrite (ssreflect)"],[63,1,1,"coq:tacn.rewrite-*","rewrite *"],[3,1,1,"coq:tacn.rewrite_db","rewrite_db"],[3,1,1,"coq:tacn.rewrite_strat","rewrite_strat"],[66,1,1,"coq:tacn.right","right"],[10,1,1,"coq:tacn.ring","ring"],[10,1,1,"coq:tacn.ring_lookup","ring_lookup"],[10,1,1,"coq:tacn.ring_simplify","ring_simplify"],[61,1,1,"coq:tacn.rtauto","rtauto"],[57,1,1,"coq:tacn.set","set"],[56,1,1,"coq:tacn.set-(ssreflect)","set (ssreflect)"],[3,1,1,"coq:tacn.setoid_etransitivity","setoid_etransitivity"],[3,1,1,"coq:tacn.setoid_reflexivity","setoid_reflexivity"],[3,1,1,"coq:tacn.setoid_replace","setoid_replace"],[3,1,1,"coq:tacn.setoid_rewrite","setoid_rewrite"],[3,1,1,"coq:tacn.setoid_symmetry","setoid_symmetry"],[3,1,1,"coq:tacn.setoid_transitivity","setoid_transitivity"],[58,0,1,"coq:exn.shared-library-failed:-Coq-Error:-\u2018string\u2019-is-not-a-valid","shared library failed: Coq Error: \u2018string\u2019 is not a valid"],[65,1,1,"coq:tacn.shelve","shelve"],[65,1,1,"coq:tacn.shelve_unifiable","shelve_unifiable"],[53,1,1,"coq:tacn.show-ltac-profile","show ltac profile"],[63,1,1,"coq:tacn.simpl","simpl"],[57,1,1,"coq:tacn.simple-apply","simple apply"],[61,1,1,"coq:tacn.simple-congruence","simple congruence"],[66,1,1,"coq:tacn.simple-destruct","simple destruct"],[57,1,1,"coq:tacn.simple-eapply","simple eapply"],[66,1,1,"coq:tacn.simple-induction","simple induction"],[66,1,1,"coq:tacn.simple-injection","simple injection"],[66,1,1,"coq:tacn.simple-inversion","simple inversion"],[63,1,1,"coq:tacn.simple-subst","simple subst"],[66,1,1,"coq:tacn.simplify_eq","simplify_eq"],[71,1,1,"coq:tacn.soft-functional-induction","soft functional induction"],[53,1,1,"coq:tacn.solve","solve"],[65,1,1,"coq:tacn.solve_constraints","solve_constraints"],[57,1,1,"coq:tacn.specialize","specialize"],[57,1,1,"coq:tacn.specialize_eqs","specialize_eqs"],[66,1,1,"coq:tacn.split","split"],[26,1,1,"coq:tacn.split_Rabs","split_Rabs"],[26,1,1,"coq:tacn.split_Rmult","split_Rmult"],[53,1,1,"coq:tacn.start-ltac-profiling","start ltac profiling"],[63,1,1,"coq:tacn.stepl","stepl"],[63,1,1,"coq:tacn.stepr","stepr"],[53,1,1,"coq:tacn.stop-ltac-profiling","stop ltac profiling"],[63,1,1,"coq:tacn.subst","subst"],[63,1,1,"coq:tacn.substitute","substitute"],[56,1,1,"coq:tacn.suff","suff"],[56,1,1,"coq:tacn.suffices","suffices"],[65,1,1,"coq:tacn.swap","swap"],[63,1,1,"coq:tacn.symmetry","symmetry"],[61,1,1,"coq:tacn.tauto","tauto"],[33,0,1,"coq:exn.template-and-polymorphism-not-compatible","template and polymorphism not compatible"],[53,1,1,"coq:tacn.time","time"],[53,1,1,"coq:tacn.time_constr","time_constr"],[53,1,1,"coq:tacn.timeout","timeout"],[63,1,1,"coq:tacn.transitivity","transitivity"],[65,1,1,"coq:tacn.transparent_abstract","transparent_abstract"],[59,1,1,"coq:tacn.trivial","trivial"],[53,1,1,"coq:tacn.try","try"],[53,1,1,"coq:tacn.tryif","tryif"],[53,1,1,"coq:tacn.type-of","type of"],[53,1,1,"coq:tacn.type_term","type_term"],[12,1,1,"coq:tacn.typeclasses-eauto","typeclasses eauto"],[56,1,1,"coq:tacn.under","under"],[63,1,1,"coq:tacn.unfold","unfold"],[53,1,1,"coq:tacn.unify","unify"],[13,7,1,"coq:attr.universes(cumulative)","universes(cumulative)"],[13,7,1,"coq:attr.universes(polymorphic)","universes(polymorphic)"],[33,7,1,"coq:attr.universes(template)","universes(template)"],[56,1,1,"coq:tacn.unlock","unlock"],[65,1,1,"coq:tacn.unshelve","unshelve"],[65,7,1,"coq:attr.using","using"],[57,1,1,"coq:tacn.vm_cast_no_check","vm_cast_no_check"],[63,1,1,"coq:tacn.vm_compute","vm_compute"],[28,7,1,"coq:attr.warning","warning"],[28,7,1,"coq:attr.warnings","warnings"],[63,1,1,"coq:tacn.with_strategy","with_strategy"],[56,1,1,"coq:tacn.without-loss","without loss"],[5,1,1,"coq:tacn.wlia","wlia"],[56,1,1,"coq:tacn.wlog","wlog"],[5,1,1,"coq:tacn.wlra_Q","wlra_Q"],[5,1,1,"coq:tacn.wnia","wnia"],[5,1,1,"coq:tacn.wnra_Q","wnra_Q"],[5,1,1,"coq:tacn.wpsatz_Q","wpsatz_Q"],[5,1,1,"coq:tacn.wpsatz_Z","wpsatz_Z"],[5,1,1,"coq:tacn.wsos_Q","wsos_Q"],[5,1,1,"coq:tacn.wsos_Z","wsos_Z"],[5,1,1,"coq:tacn.xlia","xlia"],[5,1,1,"coq:tacn.xlra_Q","xlra_Q"],[5,1,1,"coq:tacn.xlra_R","xlra_R"],[5,1,1,"coq:tacn.xnia","xnia"],[5,1,1,"coq:tacn.xnra_Q","xnra_Q"],[5,1,1,"coq:tacn.xnra_R","xnra_R"],[5,1,1,"coq:tacn.xpsatz_Q","xpsatz_Q"],[5,1,1,"coq:tacn.xpsatz_R","xpsatz_R"],[5,1,1,"coq:tacn.xpsatz_Z","xpsatz_Z"],[5,1,1,"coq:tacn.xsos_Q","xsos_Q"],[5,1,1,"coq:tacn.xsos_R","xsos_R"],[5,1,1,"coq:tacn.xsos_Z","xsos_Z"],[5,1,1,"coq:tacn.zify","zify"],[5,1,1,"coq:tacn.zify_elim_let","zify_elim_let"],[5,1,1,"coq:tacn.zify_iter_let","zify_iter_let"],[5,1,1,"coq:tacn.zify_iter_specs","zify_iter_specs"],[5,1,1,"coq:tacn.zify_op","zify_op"],[5,1,1,"coq:tacn.zify_saturate","zify_saturate"],[65,1,1,"coq:tacn.{","{"],[53,1,1,"coq:tacn.||-(first-tactic-making-progress)","|| (first tactic making progress)"],[65,1,1,"coq:tacn.}","}"],[4,0,1,"coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant","\u2018coercion_class\u2019 must be a transparent constant"],[36,0,1,"coq:exn.\u2018ident\u2019-already-exists","\u2018ident\u2019 already exists"],[36,2,1,"coq:warn.\u2018ident\u2019-cannot-be-defined","\u2018ident\u2019 cannot be defined"],[36,2,1,"coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not","\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not"],[36,2,1,"coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined","\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined"],[12,2,1,"coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass","\u2018ident\u2019 is already declared as a typeclass"],[57,0,1,"coq:exn.\u2018ident\u2019-is-already-used","\u2018ident\u2019 is already used"],[65,2,1,"coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable","\u2018ident\u2019 is both name of a Collection and Variable, Collection \u2018ident\u2019 takes precedence over Variable"],[27,2,1,"coq:warn.\u2018ident\u2019-is-declared-as-a-local-axiom","\u2018ident\u2019 is declared as a local axiom"],[57,0,1,"coq:exn.\u2018ident\u2019-is-not-a-local-definition","\u2018ident\u2019 is not a local definition"],[66,0,1,"coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types","\u2018ident\u2019 is not an equality of \u03a3 types"],[63,0,1,"coq:exn.\u2018ident\u2019-is-opaque","\u2018ident\u2019 is opaque"],[57,0,1,"coq:exn.\u2018ident\u2019-is-used-in-the-conclusion","\u2018ident\u2019 is used in the conclusion"],[57,0,1,"coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019","\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019"],[65,2,1,"coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command","\u2018ident\u2019 was already a defined Variable, the name \u2018ident\u2019 will refer to Collection when executing "Proof using" command"],[59,0,1,"coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint","\u2018qualid\u2019 cannot be used as a hint"],[63,0,1,"coq:exn.\u2018qualid\u2019-does-not-occur","\u2018qualid\u2019 does not occur"],[4,2,1,"coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition","\u2018qualid\u2019 does not respect the uniform inheritance condition"],[4,0,1,"coq:exn.\u2018qualid\u2019-is-already-a-coercion","\u2018qualid\u2019 is already a coercion"],[70,0,1,"coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference","\u2018qualid\u2019 is bound to a notation that does not denote a reference"],[4,0,1,"coq:exn.\u2018qualid\u2019-is-not-a-function","\u2018qualid\u2019 is not a function"],[34,0,1,"coq:exn.\u2018qualid\u2019-is-not-a-module","\u2018qualid\u2019 is not a module"],[59,0,1,"coq:exn.\u2018qualid\u2019-is-not-an-inductive-type","\u2018qualid\u2019 is not an inductive type"],[58,0,1,"coq:exn.\u2018qualid\u2019-not-a-defined-object","\u2018qualid\u2019 not a defined object"],[4,0,1,"coq:exn.\u2018qualid\u2019-not-declared","\u2018qualid\u2019 not declared"],[70,0,1,"coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019","\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019"],[70,0,1,"coq:exn.\u2018type\u2019-is-not-an-inductive-type","\u2018type\u2019 is not an inductive type"],[70,2,1,"coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation","\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation"],[53,1,1,"coq:tacn.\u2026-:-\u2026-(goal-selector)","\u2026 : \u2026 (goal selector)"],[56,1,1,"coq:tacn.\u2026-:-\u2026-(ssreflect)","\u2026 : \u2026 (ssreflect)"]],""All" is a predefined collection containing all variables":[[65,0,1,"coq:exn.\"All\"-is-a-predefined-collection-containing-all-variables.-It-can't-be-redefined"," It can't be redefined"]],"..":[[4,2,1,"coq:warn....-is-not-definitionally-an-identity-function"," is not definitionally an identity function"]],"A coercion will be introduced instead of an instance in future versions when using ':>' in 'Class' declarations. Replace ':>' with '::' (or use '#[global] Existing Instance field.' for compatibility with Coq < 8":[[12,2,1,"coq:warn.A-coercion-will-be-introduced-instead-of-an-instance-in-future-versions-when-using-':>'-in-'Class'-declarations.-Replace-':>'-with-'::'-(or-use-'#[global]-Existing-Instance-field.'-for-compatibility-with-Coq-<-8.17)","17)"]],"Argument \u2018name\u2019 is a trailing implicit, so it can't be declared non maximal":[[43,0,1,"coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]"," Please use { } instead of [ ]"]],"Cannot infer a term for this placeholder":[[43,0,1,"coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)"," (Casual use of implicit arguments)"],[57,0,1,"coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)"," (refine)"]],"Compiled library \u2018ident\u2019":[[58,0,1,"coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019","vo makes inconsistent assumptions over library \u2018qualid\u2019"]],"Duplicate clear of H":[[56,2,1,"coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H"," Use { }H instead of { H }H"]],"File ... found twice in ..":[[58,2,1,"coq:warn.File-...-found-twice-in-...",""]],"Goal is solvable by congruence but some arguments are missing":[[61,0,1,"coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms"," Try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms"]],"Library File (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Library File \u2018qualid\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Ltac Profiler encountered an invalid stack (no self node)":[[53,2,1,"coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution"," This can happen if you reset the profile during tactic execution"]],"Ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Nested proofs are discouraged and not allowed by default. This error probably means that you forgot to close the last "Proof." with "Qed." or "Defined."":[[31,0,1,"coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on"," If you really intended to use nested proofs, you can do so by turning the "Nested Proofs Allowed" flag on"]],"New coercion path ... is ambiguous with existing ..":[[4,2,1,"coq:warn.New-coercion-path-...-is-ambiguous-with-existing-...",""]],"No information can be deduced from this equality and the injectivity of constructors. This may be because the terms are convertible, or due to pattern matching restrictions in the sort Prop":[[66,0,1,"coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities"," You can try to use option Set Keep Proof Equalities"]],"No such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ..":[[57,0,1,"coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)",")"]],"No such goal":[[53,0,1,"coq:exn.No-such-goal.-(Goal-selector)"," (Goal selector)"],[53,0,1,"coq:exn.No-such-goal.-(fail)"," (fail)"],[65,0,1,"coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019"," Focus next goal with bullet \u2018bullet\u2019"],[65,0,1,"coq:exn.No-such-goal.-Try-unfocusing-with-}"," Try unfocusing with }"]],"Notation \u2018string\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Proof is not complete":[[65,0,1,"coq:exn.Proof-is-not-complete.-(abstract)"," (abstract)"],[57,0,1,"coq:exn.Proof-is-not-complete.-(assert)"," (assert)"]],"Require inside a module is deprecated and strongly discouraged":[[58,2,1,"coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one"," You can Require a module at toplevel and optionally Import it inside another one"]],"Required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ..":[[58,0,1,"coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)",")"]],"SSReflect: cannot obtain new equations out of ..":[[56,2,1,"coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-...",""]],"Tactic Notation \u2018qualid\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"The constant \u2018number\u2019 is not a binary64 floating-point value. A closest value \u2018number\u2019 will be used and unambiguously printed \u2018number\u2019":[[26,2,1,"coq:warn.The-constant-\u2018number\u2019-is-not-a-binary64-floating-point-value.-A-closest-value-\u2018number\u2019-will-be-used-and-unambiguously-printed-\u2018number\u2019.-[inexact-float,parsing]"," [inexact-float,parsing]"]],"The file \u2018ident\u2019":[[58,0,1,"coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019","vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019"]],"The relation \u2018ident\u2019 is not a declared reflexive relation. Maybe you need to require the Coq.Classes":[[63,0,1,"coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Coq.Classes.RelationClasses-library","RelationClasses library"]],"The relation \u2018ident\u2019 is not a declared symmetric relation. Maybe you need to require the Coq.Classes":[[63,0,1,"coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Coq.Classes.RelationClasses-library","RelationClasses library"]],"The relation \u2018ident\u2019 is not a declared transitive relation. Maybe you need to require the Coq.Classes":[[63,0,1,"coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Coq.Classes.RelationClasses-library","RelationClasses library"]],"This command is just asserting the names of arguments of \u2018qualid\u2019. If this is what you want, add ': assert' to silence the warning. If you want to clear implicit arguments, add ': clear implicits'":[[40,2,1,"coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'"," If you want to clear notation scopes, add ': clear scopes'"]],"This hint is not local but depends on a section variable":[[59,2,1,"coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed"," It will disappear when the section is closed"]],"Type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. Expected type is: \u2018type\u2019 instead of \u2018type\u2019":[[70,2,1,"coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation"," This might yield ill typed terms when using the notation"]],"Unable to apply lemma of type "..." on hypothesis of type "..":[[57,0,1,"coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\"","""]],"Unused variable \u2018ident\u2019 might be a misspelled constructor. Use _ or _\u2018ident\u2019 to silence this warning":[[45,2,1,"coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning.",""]],"\u2018ident\u2019 already exists":[[27,0,1,"coq:exn.\u2018ident\u2019-already-exists.-(Axiom)"," (Axiom)"],[31,0,1,"coq:exn.\u2018ident\u2019-already-exists.-(Definition)"," (Definition)"],[31,0,1,"coq:exn.\u2018ident\u2019-already-exists.-(Theorem)"," (Theorem)"]],"\u2018qualid\u2019 should go from Byte.byte or (list Byte":[[70,0,1,"coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte-or-(list-Byte.byte)-to-\u2018type\u2019-or-(option-\u2018type\u2019)","byte) to \u2018type\u2019 or (option \u2018type\u2019)"]],"\u2018qualid\u2019 should go from Number.int to \u2018type\u2019 or (option \u2018type\u2019). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or PrimFloat.float or Number":[[70,0,1,"coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)","number could be used (you may need to require BinNums or Number or PrimInt63 or PrimFloat first)"]],"\u2018qualid\u2019 should go from \u2018type\u2019 to Byte.byte or (option Byte.byte) or (list Byte.byte) or (option (list Byte":[[70,0,1,"coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Byte.byte-or-(option-Byte.byte)-or-(list-Byte.byte)-or-(option-(list-Byte.byte))","byte))"]],"\u2018qualid\u2019 should go from \u2018type\u2019 to Number.int or (option Number.int). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or Number":[[70,0,1,"coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)","number could be used (you may need to require BinNums or Number or PrimInt63 first)"]],"\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry":[[70,0,1,"coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""," Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by "_""]],"\u2018string\u2019 cannot be interpreted as a known notation":[[70,0,1,"coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""," Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by "_""]],"package-name":[[58,0,1,"coq:exn.package-name.foo-and-not-foo_plugin","foo and not foo_plugin"]],"plugin name anymore":[[58,0,1,"coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their"," Plugins should be loaded using their"]]},objnames:{"0":["coq","exn","Coq exn"],"1":["coq","tacn","Coq tacn"],"2":["coq","warn","Coq warn"],"3":["coq","cmd","Coq cmd"],"4":["coq","flag","Coq flag"],"5":["coq","thm","Coq thm"],"6":["coq","opt","Coq opt"],"7":["coq","attr","Coq attr"],"8":["coq","table","Coq table"],"9":["coq","tacv","Coq tacv"]},objtypes:{"0":"coq:exn","1":"coq:tacn","2":"coq:warn","3":"coq:cmd","4":"coq:flag","5":"coq:thm","6":"coq:opt","7":"coq:attr","8":"coq:table","9":"coq:tacv"},terms:{"0":[2,3,4,5,7,8,9,10,11,12,13,24,25,26,27,28,29,30,33,34,35,36,40,42,43,45,49,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74,76],"00":52,"000":[16,52],"0000000000000002":26,"00075471":76,"00076024":76,"00076039":76,"001":63,"001u":63,"002":63,"002u":63,"003":53,"004":53,"00816703":76,"01":[16,52],"019":52,"02":[16,28,52,76],"02451322":76,"026":52,"027":[52,63],"028":52,"02e":[16,28],"03":[8,16,52],"0380":16,"03ff":16,"04":52,"05":16,"0515":76,"0530":76,"05ef":16,"06":[16,23,52,76],"060":53,"068":52,"069":52,"07":[16,76],"08":[16,76],"089u":63,"09":16,"0beta":24,"0m00":52,"0m03":52,"0m04":52,"0s":70,"0x":28,"0x2a":16,"0xap12":28,"0xb":16,"1":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],"10":[2,5,23,24,28,30,51,53,56,58,59,63,70,73,76],"100":[16,53,59,63,70],"1000":[61,63],"100000":28,"1000000":28,"1000000000000000000000000000000000":28,"1000000000000000000000000000000001":28,"10002":16,"10008":16,"10012":16,"10014":16,"10017":16,"10019":16,"10022":16,"10049":16,"10053":16,"10059":16,"10061":16,"1007":76,"10076":16,"10085":16,"10088":16,"10095":16,"10108":16,"10110":16,"10111":16,"10112":16,"10117":16,"10156":16,"10167":16,"10173":16,"10180":16,"10185":16,"10202":16,"10205":16,"10215":16,"1024":2,"10245":16,"10277":16,"10289":16,"10291":16,"102e":16,"10301":16,"10302":16,"10305":16,"10318":16,"10324":16,"10331":16,"10336":16,"10343":16,"10360":16,"10361":16,"10366":16,"10390":16,"10399":16,"104":76,"10400":16,"10430":16,"10439":16,"10441":16,"10445":16,"10471":16,"10476":16,"10486":16,"10489":16,"10494":16,"105":16,"10577":16,"10592":16,"10614":16,"10651":16,"10657":16,"10664":16,"10728":16,"10731":16,"10739":16,"10747":16,"10750":16,"10757":16,"10758":16,"10760":16,"10762":16,"10765":16,"10772":16,"10774":16,"10796":16,"10803":16,"10806":16,"10811":16,"10812":16,"10824":16,"10827":16,"10832":16,"10842":16,"10852":16,"10858":16,"1088":76,"10891":16,"10894":16,"10895":16,"10897":16,"10899":16,"10904":16,"10912":16,"10932":16,"10947":16,"10956":16,"10963":16,"10965":16,"10966":16,"10970":16,"10971":16,"10985":16,"10988":16,"10996":16,"10997":16,"10998":16,"11":[2,23,24,33,52,56,59],"110":59,"11000":16,"11011":16,"11014":16,"11018":16,"11025":16,"11033":16,"11039":16,"11048":16,"11052":16,"11058":16,"11063":16,"11068":16,"11069":16,"11070":16,"11080":16,"11081":16,"11090":16,"11091":16,"11098":16,"11099":16,"11102":16,"11113":16,"11114":16,"11120":16,"11121":16,"11123":16,"11127":16,"11128":16,"11131":16,"11132":16,"11136":16,"11162":16,"11164":16,"11172":16,"11183":16,"11185":16,"11187":16,"11191":16,"11203":16,"11227":16,"11231":16,"11233":16,"11235":16,"11237":16,"11240":16,"11241":16,"11242":16,"11245":16,"11249":16,"11254":16,"11255":16,"11258":16,"11261":16,"11263":16,"11270":16,"11276":16,"11277":16,"11280":16,"11288":16,"11295":16,"11301":16,"11302":16,"11311":16,"11314":16,"11329":16,"11331":16,"11335":16,"11337":16,"11350":16,"11353":16,"11357":16,"11360":16,"11361":16,"11362":16,"11368":16,"11370":16,"11394":16,"11396":16,"11400":16,"11402":16,"11404":16,"11409":16,"11414":16,"11415":16,"11422":16,"11423":16,"11428":16,"11429":16,"11430":16,"11436":16,"11447":16,"1145":76,"11474":16,"11486":16,"11503":16,"11504":16,"11506":16,"11522":16,"11523":16,"11530":16,"11534":16,"11546":16,"11579":16,"1158":76,"11585":16,"11589":16,"11590":16,"11595":16,"11600":16,"11601":16,"11602":16,"11604":16,"11606":16,"11617":16,"11618":16,"11631":16,"11650":16,"11663":16,"11665":16,"11686":16,"11689":16,"117":[63,76],"11705":16,"11718":16,"11720":16,"11725":16,"11727":16,"11740":16,"11741":16,"11742":16,"11746":16,"11755":16,"11760":16,"11761":16,"11783":16,"11795":16,"11797":16,"11811":16,"11812":16,"11816":16,"11828":16,"11841":16,"11848":16,"11851":16,"11859":16,"11866":16,"11869":16,"11871":16,"11877":16,"11880":16,"11882":16,"11883":16,"11885":16,"11890":16,"11891":16,"11903":16,"11905":16,"11906":16,"11909":16,"11913":16,"11914":16,"11943":16,"11944":16,"11946":16,"11948":16,"11957":16,"11958":16,"11960":16,"11961":16,"11962":16,"11963":16,"11970":16,"11972":16,"11976":16,"11981":16,"11986":16,"11992":16,"12":[10,24,28,52,53,56,57,70],"120":[50,70],"12001":16,"12005":16,"12006":16,"12008":16,"12011":16,"12014":16,"12015":16,"12018":16,"12023":16,"12026":16,"12027":16,"12031":16,"12033":16,"12034":16,"12035":16,"12037":16,"12044":16,"12045":16,"12060":16,"12068":16,"12070":16,"12073":16,"12076":16,"12091":16,"12093":16,"12094":16,"12096":16,"12097":16,"12099":16,"12103":16,"12106":16,"12109":16,"12116":16,"12120":16,"12121":16,"12126":16,"12129":16,"12139":16,"12146":16,"12148":16,"12150":16,"12152":16,"12157":16,"12159":16,"12162":16,"12163":16,"12172":16,"12186":16,"12196":16,"12197":16,"12200":63,"12210":16,"12211":16,"12213":16,"12218":16,"12223":16,"12224":16,"12228":16,"12233":16,"12234":16,"12237":16,"12239":16,"12240":16,"12246":16,"12253":16,"12254":16,"12255":16,"12256":16,"12257":16,"12258":16,"12263":16,"12266":16,"12286":16,"12287":16,"12288":16,"12295":16,"12296":16,"123":70,"12317":16,"12322":16,"12323":16,"12324":16,"12326":16,"12330":16,"12332":16,"12348":16,"12358":16,"12365":16,"12366":16,"12368":16,"12387":16,"12388":16,"12389":16,"12399":16,"12411":16,"12414":16,"12418":16,"12420":16,"12422":16,"12423":[16,53],"12425":16,"12454":16,"12467":16,"12479":16,"12483":16,"12484":16,"125":13,"12513":16,"12516":16,"12521":16,"12523":16,"12525":16,"12537":16,"12541":16,"12552":16,"12556":16,"12562":16,"12567":16,"12571":16,"12572":16,"12575":16,"12582":16,"12583":16,"12586":16,"12594":16,"12595":16,"126":[13,52],"12613":16,"12647":16,"12648":16,"12653":16,"12677":16,"12678":16,"12682":16,"12683":16,"12685":16,"12707":16,"12708":16,"12716":16,"12738":16,"12752":16,"12754":16,"12755":16,"12756":16,"12762":16,"12765":16,"12768":16,"12770":16,"12772":16,"12773":16,"12775":16,"12777":16,"12787":16,"12793":16,"12794":16,"12799":16,"128":2,"12801":16,"12803":16,"12806":16,"1281":76,"12813":16,"12816":16,"12827":16,"12837":16,"12845":16,"12846":16,"12847":16,"12857":16,"12860":16,"12861":16,"12862":16,"12871":16,"12874":16,"128mb":50,"128u":52,"12908":16,"12946":16,"12950":16,"12960":16,"12965":16,"12972":16,"12975":16,"12979":16,"12984":16,"12986":16,"12992":16,"13":[23,24,50,53,56,76],"13004":16,"13007":16,"13011":16,"13016":16,"13018":16,"13026":16,"13028":16,"13040":16,"13062":16,"13063":16,"13067":16,"13071":16,"13078":16,"13080":16,"13092":16,"13096":16,"13106":16,"13139":16,"13145":16,"13150":16,"13155":16,"13157":16,"13165":16,"13166":16,"13183":16,"13188":16,"13189":16,"132":13,"13202":16,"13216":16,"13217":16,"13232":16,"13235":16,"13236":16,"13237":16,"13244":16,"13247":16,"13255":16,"13265":16,"13266":16,"13278":16,"13287":16,"13288":16,"13290":16,"13296":16,"13298":16,"13301":16,"13303":16,"13307":16,"13312":16,"13317":16,"13330":16,"13331":16,"13336":16,"13337":16,"13339":16,"13344":16,"13345":16,"13349":16,"13351":16,"13352":16,"13354":16,"13356":16,"13363":16,"13365":16,"13373":16,"13376":16,"13381":16,"13383":16,"13384":16,"13386":16,"13387":16,"13388":16,"13394":16,"13403":16,"13405":16,"13408":16,"13413":16,"13415":16,"13417":16,"13428":16,"13432":16,"13436":16,"13442":16,"13448":16,"13456":16,"13458":16,"13459":16,"13460":16,"13468":16,"13469":16,"1347":16,"13473":16,"13480":63,"13484":16,"13490":16,"13495":16,"135":76,"13501":16,"13509":16,"13512":16,"13517":16,"13519":16,"13541":16,"13550":16,"13556":16,"13559":16,"13562":16,"13563":16,"13566":16,"13568":16,"13579":16,"13581":16,"13582":16,"13586":16,"13589":16,"13617":16,"13618":16,"1362":16,"13624":16,"13654":16,"13671":16,"13696":16,"13699":16,"136u":52,"137":[13,26],"13702":16,"13715":16,"13724":16,"13725":16,"13727":16,"13741":16,"13758":16,"13759":16,"13760":16,"13761":16,"13762":16,"13763":16,"13764":16,"13774":16,"13778":16,"13781":16,"13783":16,"138":13,"13804":16,"13810":16,"13822":16,"13830":16,"13837":16,"1384":23,"13840":16,"13842":16,"13849":16,"13852":16,"13853":16,"13859":16,"1386":23,"13867":16,"1387":23,"13870":16,"13871":16,"13876":16,"13882":16,"13885":16,"13895":16,"139":13,"13909":16,"13911":16,"13912":16,"13914":16,"13920":16,"13927":16,"13939":16,"1394":23,"13942":16,"13952":16,"13955":16,"13964":16,"13965":16,"13966":16,"13967":16,"13969":16,"13976":16,"13977":16,"13986":16,"13996":16,"13997":16,"13998":16,"14":[23,24,50,52,56,59,63],"14005":16,"14006":16,"14007":16,"14008":16,"14009":16,"14011":16,"14012":16,"14015":16,"1402":23,"14023":16,"14024":16,"14033":16,"14037":16,"1404":23,"14041":16,"14059":16,"14070":16,"14081":16,"14083":16,"14086":16,"14087":16,"14089":16,"14090":16,"14092":16,"14093":16,"14094":16,"14096":16,"14100":16,"14102":16,"1412":23,"14124":16,"14125":16,"14128":16,"14137":16,"14138":16,"14141":16,"14148":16,"14153":16,"14174":16,"14183":16,"14189":16,"142":13,"14207":16,"14208":16,"14211":16,"14234":16,"14238":16,"14256":16,"14257":16,"14258":16,"14260":16,"14261":16,"14263":16,"14265":16,"1427":23,"14283":16,"14285":16,"14293":16,"143":[16,52],"14305":16,"14309":16,"14310":16,"14314":16,"14317":16,"14336":16,"14343":16,"14345":16,"1435":23,"1437":23,"14371":16,"14374":16,"14377":16,"14378":16,"14379":16,"14382":16,"14384":16,"14386":16,"14392":16,"14395":16,"14406":16,"14408":16,"14425":16,"14439":16,"14446":16,"14452":16,"14457":16,"14458":16,"14486":16,"14493":16,"145":[13,52],"14505":16,"14513":16,"14525":16,"14527":16,"14528":16,"14529":16,"14539":16,"14548":16,"14558":16,"14563":16,"14571":16,"14573":16,"14574":16,"1459":23,"14596":16,"146":13,"1460":23,"14601":16,"14606":16,"14609":16,"14610":16,"14644":16,"14650":16,"14651":16,"14652":16,"14657":16,"14660":16,"14662":16,"14664":16,"14666":16,"14668":16,"14669":16,"14670":16,"14671":16,"14672":16,"14673":16,"14678":16,"14679":16,"14683":16,"14685":16,"14687":16,"14693":16,"14695":16,"14696":16,"14697":16,"14699":16,"147":13,"14705":16,"14708":16,"14713":16,"14718":16,"14722":16,"14731":16,"14732":16,"14734":16,"14736":16,"14750":16,"14758":16,"14780":16,"14787":16,"14801":16,"14802":16,"14809":16,"14813":16,"14819":16,"14843":16,"14844":16,"14848":16,"14863":16,"14872":16,"14874":16,"14879":16,"14892":16,"14899":16,"14901":16,"14907":16,"14928":16,"14930":16,"14938":16,"14940":16,"14957":16,"14959":16,"14963":16,"14967":16,"14975":16,"14984":16,"14986":16,"14989":16,"14996":16,"15":[2,12,24,51,52,56,58,65],"150":[13,16,54],"15015":16,"15020":16,"15043":16,"15046":16,"15056":16,"15059":16,"15070":16,"15072":16,"15075":16,"15076":16,"15078":16,"15081":16,"15085":16,"15098":16,"15099":16,"151":[13,76],"15121":16,"15122":16,"15139":16,"15171":16,"15193":16,"15194":16,"152":76,"15204":16,"15206":16,"15214":16,"15215":16,"15220":16,"15221":16,"15244":16,"15245":16,"15250":16,"15256":16,"15268":16,"15272":16,"15274":16,"15277":16,"15279":16,"15280":16,"15289":16,"15291":16,"15294":16,"153":52,"15300":16,"15314":16,"15322":16,"15333":16,"15334":16,"15335":16,"15338":16,"15340":16,"15347":16,"15355":16,"15366":16,"15378":16,"15382":16,"15385":16,"15388":16,"15397":16,"15403":16,"15410":16,"15411":16,"15412":16,"15420":16,"15424":16,"15426":16,"15427":16,"15434":16,"15442":16,"15446":16,"15448":16,"15451":16,"15483":16,"15494":16,"15496":16,"15497":16,"15498":16,"15511":16,"15526":16,"15527":16,"15531":16,"15532":16,"15537":16,"15554":16,"15559":16,"15560":16,"15567":16,"15568":16,"15575":16,"15577":16,"15578":16,"15581":16,"15596":16,"15597":16,"15599":16,"156":13,"15600":16,"15606":16,"15612":16,"15619":16,"15620":16,"15621":16,"15628":16,"15633":16,"15634":16,"15637":16,"15644":16,"15650":16,"15652":16,"15653":16,"15657":16,"15662":16,"15668":16,"15669":16,"15675":16,"15683":16,"15690":16,"15693":16,"157":52,"15714":16,"15719":16,"15725":16,"15728":16,"15733":16,"15741":16,"15745":16,"15752":16,"15754":16,"15760":16,"15778":16,"15788":16,"15789":16,"15799":16,"15802":16,"15814":16,"15838":16,"15839":16,"15843":16,"15853":16,"15861":16,"15864":16,"15866":16,"15867":16,"15873":16,"15882":16,"15884":16,"15886":16,"15888":16,"15893":16,"15903":16,"15912":16,"15921":16,"15933":16,"15938":16,"15939":16,"15945":16,"15947":16,"15964":16,"15965":16,"15967":16,"15983":76,"15984":16,"15986":16,"15996":16,"15e":16,"16":[2,24,52,53,56,58,59,70],"16004":16,"16005":16,"16007":16,"16015":16,"16023":16,"16026":16,"16030":16,"16046":16,"16062":16,"16063":16,"16066":16,"16069":51,"16070":16,"16096":16,"16101":16,"16106":16,"16118":16,"16126":16,"16135":16,"16142":[16,51],"16158":16,"16168":16,"16179":16,"16184":16,"16186":16,"162":52,"16203":16,"16217":16,"16224":16,"16230":16,"16258":16,"16268":16,"16282":16,"16287":16,"16289":16,"16293":16,"163":[52,76],"16302":16,"16308":16,"16322":16,"16323":16,"16340":16,"16355":16,"16375":16,"16395":16,"16407":16,"16409":16,"16411":16,"16413":16,"16414":16,"16415":16,"16418":16,"16429":16,"16434":16,"16436":16,"16438":16,"16440":16,"16466":16,"16472":16,"16479":16,"16485":16,"16489":16,"16498":16,"16512":16,"16519":16,"16531":16,"16535":16,"16536":16,"16537":16,"16538":16,"16540":16,"16547":16,"16552":16,"16556":16,"16571":16,"16588":16,"16602":16,"16605":16,"16632":16,"16645":16,"16651":16,"16655":16,"16659":16,"16670":16,"16677":16,"16686":16,"16690":16,"16725":16,"16731":16,"16738":16,"16740":16,"16743":16,"16752":16,"16756":16,"16757":16,"16764":16,"16765":16,"16768":16,"16785":16,"16788":16,"16796":16,"16817":16,"16829":16,"16831":16,"16837":16,"16842":16,"16843":16,"16845":16,"16850":16,"16859":16,"16874":16,"16890":16,"16892":16,"169":16,"16902":16,"16903":16,"16904":16,"16909":16,"16910":16,"16911":16,"16914":16,"16915":16,"16918":16,"16920":16,"16925":16,"16926":16,"16929":16,"16931":16,"16937":16,"16945":16,"16947":16,"16957":16,"16958":16,"16959":16,"16960":16,"16981":16,"16988":16,"16989":16,"16991":16,"16992":16,"16994":16,"16996":16,"16997":16,"16999":16,"16th":[23,76],"17":[12,23,24,26,52,56],"17008":16,"17010":16,"17013":16,"17015":16,"17021":16,"17022":16,"17023":16,"17027":16,"17035":16,"17036":16,"17038":16,"17042":16,"17045":16,"17050":16,"17069":16,"17071":16,"17073":16,"17079":16,"17082":16,"17090":16,"17094":16,"17108":16,"17110":16,"17113":16,"17114":16,"17115":16,"17116":16,"17117":16,"17118":16,"17123":16,"17137":16,"17138":16,"17172":16,"17173":16,"17174":16,"17206":16,"17217":16,"17221":16,"17232":16,"17258":16,"17270":16,"17274":16,"17281":16,"17285":16,"17295":16,"173":2,"17303":16,"17304":16,"17305":16,"17316":16,"17318":16,"17322":16,"17324":16,"17333":16,"17344":16,"17347":16,"17352":16,"17359":16,"17364":16,"17371":16,"17382":16,"17394":16,"17411":16,"17417":16,"17427":16,"17430":16,"17451":16,"17452":16,"17467":16,"17468":16,"17475":16,"17478":16,"17484":16,"17488":16,"17489":16,"17491":16,"17495":16,"175":76,"17503":16,"17508":16,"17534":16,"17541":16,"17544":16,"17564":16,"17575":16,"17576":16,"17585":16,"17591":16,"17594":16,"17597":16,"17646":16,"17660":76,"17667":16,"17669":16,"17670":16,"17697":16,"17702":16,"17704":16,"17716":16,"17718":16,"17721":16,"17732":16,"17733":16,"17734":16,"17743":16,"17744":16,"17745":16,"17747":16,"17754":16,"17772":16,"17774":16,"17777":16,"17782":16,"17787":16,"17788":16,"17789":16,"17794":16,"17795":16,"17796":16,"178":53,"17801":16,"17805":16,"17817":16,"17832":16,"17836":16,"17841":16,"17844":16,"17845":16,"17854":16,"17856":16,"17857":16,"17860":16,"17861":16,"17871":16,"17872":16,"17887":16,"17889":16,"17891":16,"17892":16,"17894":16,"17902":16,"17927":16,"17934":16,"17935":16,"17936":16,"17946":16,"17959":16,"17963":16,"17964":16,"17984":16,"17985":16,"17987":16,"17988":16,"17991":16,"17993":16,"17998":16,"18":[4,12,24,56,57,58,59,63],"18004":16,"18005":16,"18006":16,"18008":16,"18014":16,"18022":16,"18025":16,"18026":16,"1803":16,"18059":16,"18067":16,"18068":16,"18076":16,"18077":16,"18082":16,"18094":16,"18095":16,"18096":16,"18102":16,"18104":16,"18106":16,"18139":16,"18151":16,"18152":16,"18157":16,"18158":16,"18159":16,"18163":16,"18164":16,"18165":16,"18176":16,"18190":16,"18193":16,"18194":16,"18195":16,"18197":16,"18209":16,"18223":16,"18230":16,"18239":16,"18243":16,"18254":16,"18273":16,"18292":16,"18293":16,"18311":16,"18325":16,"18331":16,"18342":16,"18359":16,"18374":16,"18392":16,"18393":16,"18395":16,"184":76,"18434":16,"18442":16,"18444":16,"18445":16,"18447":16,"18448":16,"18463":16,"1850":52,"1859":16,"186":16,"18th":23,"19":[23,24,40,56,76],"1912":16,"192":52,"1955":76,"1958":76,"1960":23,"1965":23,"197":76,"1970":23,"1972":76,"1980":76,"1981":76,"1982":76,"1983":23,"1984":23,"1985":[23,76],"1986":[23,76],"1987":23,"1988":[23,76],"1989":[23,76],"1990":[23,76],"1991":[23,76],"1992":[23,76],"1993":[23,76],"1994":[23,76],"1995":[23,76],"1996":23,"1997":76,"1998":[23,76],"1999":23,"19th":23,"1_000_000":28,"1a":53,"1b":53,"1beta":24,"1cvaclvffya5r":50,"1gamma":24,"1p_1":33,"1st":[23,26,33,45,56,58,63,70,71],"2":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],"20":[16,45,56,66,76],"200":[16,51,70],"2000":[16,76],"2001":[23,76],"2002":[23,76],"2003":23,"2004":16,"2005":76,"2006":16,"2007":76,"2008":[16,76],"2010":16,"2011":[16,76],"2013":76,"2015":[16,23],"2016":16,"2017":16,"2018":16,"2019":[16,76],"2020":16,"2021":16,"2022":16,"2023":16,"2034574":76,"2034798":76,"2051":76,"207":76,"208":52,"2080":16,"2089":16,"209":76,"20x":16,"21":[45,53],"2100":16,"2104":16,"212":76,"214f":16,"216":76,"2168":16,"2188":16,"2190":16,"21ff":16,"22":[53,56],"2200":16,"2236":16,"228":76,"22ff":16,"22nd":23,"2300":16,"231":52,"2336":16,"235":76,"2357":16,"236u":52,"237":76,"2372":8,"239":52,"23ff":16,"24":[10,16,43,52,53,76],"240":50,"246":76,"2489":16,"24th":23,"25":[10,43,63],"2500":16,"252":76,"25379":76,"255":50,"2555":16,"256":2,"256mb":50,"25th":23,"26":[52,53,76],"2600":16,"262":16,"2642":50,"266":53,"2680":16,"269":53,"2693":16,"26ff":16,"27":[52,53],"2700":76,"28":76,"2828":16,"28756":53,"2884":16,"28x":10,"29":59,"2900":16,"297f":16,"2_5":76,"2a00":16,"2aff":16,"2ap":16,"2nd":[23,33,40,45,56,66,71,76],"2x":[5,10],"2y":5,"3":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76],"30":[10,16,23,26,70],"300":[16,23],"3051":16,"31":[16,26],"3115":16,"3166":16,"31st":23,"32":[2,16,35,50,52,65],"3209":16,"3219":16,"328":76,"3282":16,"3290316":76,"32mword":50,"33":52,"337720":52,"337876":52,"34":[10,52,70,76],"3415":16,"345":76,"3479":16,"3488":16,"35":[16,26,52],"3527":16,"3556":16,"356":16,"357":76,"36":56,"3613":16,"362":76,"3632":16,"3659":16,"37":[52,76],"3763":76,"377":76,"3826":16,"384":16,"3844":13,"3848":13,"387":51,"3886":16,"3890":16,"39":[16,52,70],"3941":16,"3943":16,"394648":52,"394700":52,"395448":52,"39634":76,"3989":16,"3994":16,"3em":[25,30,33,34,37],"4":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],"40":[13,16,26,40,70],"400":16,"4069":16,"4095":16,"4097":16,"41":[16,50,52,56],"4105":16,"4129":16,"414":16,"4156":16,"4167":16,"421":16,"4250":16,"43":[16,52,53],"4306":16,"4369":16,"4373":16,"4398":16,"44":16,"4413":16,"4415":16,"4416":16,"4436":16,"4450":16,"4476":63,"4495":16,"45":[16,76],"450":16,"4502":76,"4503":16,"4504":16,"4506":16,"4511":16,"45184":52,"4519":16,"4522":16,"4529":16,"4530":16,"4533":16,"4537":16,"4540":16,"4542":16,"4544":16,"4547":16,"4548":16,"4555":16,"45634":8,"4574":16,"4580":16,"4582":16,"4588":16,"4591":16,"4593":16,"4596":16,"46":[10,76],"4603":16,"4606":16,"4607":16,"4608":16,"4614":16,"4623":16,"4627":16,"4630":16,"4632":16,"4638":16,"4644":16,"4673":16,"4677":16,"4683":16,"4690":16,"4696":16,"47":52,"4709":16,"4712":16,"4718":16,"4720":16,"4721":16,"4725":16,"4738":16,"4741":16,"4747":16,"4752":16,"4754":16,"4762":16,"4769":16,"4776":63,"4777":16,"4780":16,"48":[16,50],"4818":16,"4822":16,"4823":16,"4824":16,"4832":16,"4841":16,"4844":16,"4851":16,"4858":16,"4863":16,"4871":16,"4876":16,"4880":16,"4881":16,"4882":16,"4887":16,"4890":16,"49":76,"4911":16,"4912":16,"4925":16,"4947":16,"4969":16,"4970":16,"498":65,"4994":16,"4beta":24,"4beta2":24,"4th":[23,40,43,76],"5":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],"50":[16,26,40,41,43,52,56,58,70,76],"500":16,"5001":16,"5007":16,"5008":16,"5019":16,"5026":16,"5030":16,"5043":16,"5062":16,"5065":16,"5077":16,"5095":16,"5097":16,"51":16,"5102":16,"512":2,"5123":16,"5127":16,"5132":16,"5150":16,"5155":16,"5159":16,"5163":16,"5173":16,"52":52,"5205":16,"522":16,"5222":16,"5233":16,"52335":76,"5239":16,"5244":16,"5248":16,"5255":16,"5275":16,"5300":16,"5304":16,"5315":16,"5336":16,"5351":16,"5360":16,"5365":16,"5369":16,"5377":16,"5380":16,"5384":16,"5390":16,"5394":16,"54":16,"540":76,"5414":16,"5417":16,"5420":16,"5435":16,"5439":16,"5445":16,"5449":16,"5475":16,"5476":16,"5481":16,"5482":16,"5486":16,"5487":16,"55":[16,53],"5501":16,"5507":16,"5520":16,"5521":16,"5522":16,"5523":16,"5524":16,"5526":16,"5535":16,"5546":16,"5548":16,"5550":16,"5553":16,"5568":16,"5574":16,"5577":16,"5578":16,"5589":16,"5597":16,"5598":16,"5607":16,"5618":16,"5619":16,"5620":16,"5641":16,"5648":16,"5651":16,"5671":16,"56772":52,"56980":52,"57":16,"5702":16,"5706":16,"5726":16,"5730":16,"5752":16,"5764":16,"581478":76,"581501":76,"582153":76,"582176":76,"59":[16,53,56],"592":52,"5941":16,"5_13":76,"5beta1":24,"5beta2":24,"5beta3":24,"5d4558edf8f5c2c548a3d96c17820169":16,"5pl1":24,"5pl2":24,"5pl3":24,"6":[2,8,9,24,28,34,52,53,54,56,57,70,73,76],"60":[26,52],"6042":16,"6092":16,"61":[16,52],"6109":16,"6134":16,"6261":16,"6278":16,"63":[5,16,28,35,70],"6332":16,"64":[2,35,50,65],"642":76,"6459":16,"650":[16,23,53],"651":53,"66":[52,76],"664":76,"6677":16,"6705":16,"6714":16,"6785":16,"68":52,"6857":16,"69":52,"6914":16,"6976":16,"6beta1":24,"6f62bda":16,"6th":23,"7":[2,10,24,53,56,63,70,73,74,76],"70":[16,26,35,41,56,70,71],"7015":16,"7017":16,"7086":76,"709":76,"7093":16,"71":45,"7135":16,"72":45,"720":76,"7221":16,"7253":16,"7309":16,"7333":16,"7348":16,"7385":16,"7393":16,"74":52,"7443":16,"7462":16,"75":[16,26,70],"7522":16,"75277":76,"75285":76,"754":[16,35],"757":16,"7615":16,"7632":16,"7634":16,"7674":16,"7675":16,"7695":16,"7697":16,"7698":16,"7723":16,"7725":16,"7730":16,"7766":16,"7769":16,"7791":16,"78":58,"7812":16,"7825":16,"7886":16,"7894":16,"7902":16,"7911":16,"7916":16,"7979":16,"7998":76,"7edelahay":76,"7x":10,"8":[2,4,12,23,24,26,29,34,40,50,51,52,53,56,57,58,59,63,65,70,74],"80":[26,70],"8032":16,"8062":16,"8080":16,"8094":16,"81":13,"8161":16,"8171":16,"8176":76,"82":76,"8215":16,"8217":16,"8252":16,"8276":16,"836":52,"8365":16,"8388607":16,"8388851":16,"84":76,"8419":16,"8451":16,"8457":16,"8459":16,"8481":53,"8488":16,"85":[26,52,70,76],"8540":16,"8555":16,"8560":16,"857":63,"857u":63,"8638":16,"8642":16,"8667":16,"8669":16,"87":[23,52],"872":16,"8739":16,"874":16,"8764":16,"8779":16,"8791":16,"88":[23,52,76],"8808":16,"8815":16,"8817":16,"8819":16,"8820":16,"8829":16,"8850":16,"8855":16,"8859":74,"8870":16,"8898":16,"89":[52,76],"8905":16,"8920":16,"8945":16,"8965":16,"8987":16,"8989":16,"8991":16,"8_62":76,"8th":23,"9":[2,23,24,28,29,34,52,53,56,63,70,73,76],"9000":16,"9001":16,"9013":16,"9058":16,"9078":16,"9095":16,"9098":16,"91":[7,59,76],"9114":16,"9117":16,"9133":16,"9142":16,"9146":65,"9148":16,"9160":16,"9162":16,"92":[53,76],"9214":16,"9270":16,"9274":16,"9279":16,"9288":16,"9294":16,"93":52,"9300":16,"9306":16,"9307":16,"9319":16,"9336":16,"9341":16,"9363":16,"9364":16,"9379":16,"94":76,"9403":16,"9410":16,"9425":16,"947":76,"9490":16,"95":[26,53,59,76],"9508":16,"9509":16,"9512":16,"9514":16,"9517":16,"9519":16,"9521":16,"9524":16,"9530":16,"9532":16,"9555":16,"9569":16,"96":52,"9602":16,"9608":16,"9651":16,"9668":16,"9670":16,"9681":16,"9682":16,"9696":16,"97":[52,76],"9705":16,"9711":16,"9716":16,"9725":16,"9741":16,"9743":16,"9767":16,"9772":16,"978":76,"9803":16,"9811":16,"9816":16,"9825":16,"9829":16,"9840":16,"9844":16,"9848":16,"9851":16,"9854":16,"9856":16,"9867":16,"9872":16,"9874":16,"9876":16,"9883":16,"9884":16,"9885":16,"99":[16,26,70],"9906":16,"9918":16,"9939":16,"996":76,"9964":16,"9971":16,"9979":16,"9984":16,"9995":16,"9996":16,"9_":70,"9_26":76,"9_47":76,"9e":76,"9th":76,"\u00e0":[16,23,54],"\u00e8":76,"\u00e9":76,"\u00e9cole":23,"\u00e9lie":16,"\u00eb":76,"\u015ferb\u0103nu\u0163\u0103":16,"\u03b1":[3,13,24,53,54,56],"\u03b113":13,"\u03b2":[16,24,25,56],"\u03b2\u03b4\u03b9":10,"\u03b2\u03b4\u03b9\u03b6":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],"\u03b2\u03b4\u03b9\u03b6\u03b7":[13,25,30,33,34],"\u03b2\u03b9":[16,40,56,63],"\u03b2\u03b9\u03b6":63,"\u03b2v":54,"\u03b3":[13,25,30,33,34,37,54],"\u03b3_":[25,33],"\u03b3_1":[25,33],"\u03b3_2":25,"\u03b3_c":[25,33,34,37],"\u03b3_i":[25,33,34,37],"\u03b3_n":33,"\u03b3_p":[25,33,34],"\u03b4":[24,25,36,40,56,63,66],"\u03b6":[24,25,56],"\u03b7":[11,16,24,29],"\u03b7\u03b6":56,"\u03b9":[24,25,33,40,54,63],"\u03bb":[16,23,25,30,33,37,51,53,56,65,76],"\u03bbp":33,"\u03bbprolog":62,"\u03bbs":51,"\u03bbx":[25,30,33],"\u03bbz":33,"\u03c0":51,"\u03c1":56,"\u03c3":[34,66],"\u03c6":[16,63,70],"\u03c9":76,"\u2115":38,"a\u2081":4,"a\u2096":4,"abstract":[2,4,5,10,12,13,16,23,24,25,26,27,28,33,34,37,41,43,53,54,57,58,63,66,70],"andr\u00e8":16,"ar\u00eda":16,"arma\u00ebl":16,"boolean":[2,5,9,10,12,13,16,23,24,26,28,33,36,38,39,41,54,58,59,61,63,66,70],"break":[11,16,28,29,51,56,58,63,65,70,72,73],"byte":[16,23,50,58,65,70],"c\u00e9dric":16,"case":[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],"cast\u00e9ran":[16,76],"catch":[3,16,24,41,45,56],"char":[2,16,52],"chargu\u00e9raud":16,"chrz\u0105szcz":[16,23],"cl\u00e9ment":[3,16],"class":[12,16,23,24,26,27,34,38,41,43,56,58,59,61,63],"const":[25,33,36,53],"cr\u00e9gut":23,"d\u00e9mon":23,"d\u00e9monstrat":76,"d\u00e9n\u00e8":16,"default":[2,3,4,5,8,9,10,11,12,13,16,23,24,26,28,31,33,34,36,42,43,50,51,52,53,54,56,57,58,59,61,63,65,66,70,73,74],"do":[2,3,4,7,8,12,13,16,23,24,26,28,30,31,33,34,36,37,41,45,50,51,52,54,56,57,58,59,61,62,63,65,66,70,73,74],"double":56,"export":[3,8,9,10,12,16,23,26,28,34,50,51,53,58,59,70],"f\u03c9":23,"f\u2081":4,"f\u2096":4,"f\u2099":4,"filli\u00e2tr":[2,16,23,76],"final":[2,3,4,5,8,9,10,12,13,16,23,24,26,28,34,39,50,51,52,53,56,58,63,65,66,70,74],"float":[13,16,23,24,58,70],"formalis\u00e9":23,"fr\u00e9d\u00e9ric":[5,16,56],"fr\u00e9deric":16,"fran\u00e7oi":[16,56],"franti\u0161ek":16,"function":[2,3,5,9,10,11,12,13,16,23,24,25,26,30,32,34,35,36,38,41,44,45,50,51,54,56,57,58,61,63,66,70,72,76],"g\u00e1sp\u00e1r":16,"g\u00e9rard":[23,76],"g\u00f6teborg":23,"ga\u00ebtan":16,"gim\u00e9nez":[23,76],"gr\u00e9goir":[10,16],"gr\u00f6bner":[7,16],"grabovsk\u00fd":16,"gu\u00e9neau":16,"hu\u1ef3nh":16,"ident\u2081":45,"ident\u2099":45,"import":[2,3,4,5,6,7,9,10,12,16,23,24,25,26,27,28,30,31,33,34,35,39,41,42,43,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71],"int":[2,3,16,35,54,70,74],"j\u00e9r\u00f4me":23,"jes\u00fa":16,"judica\u00ebl":23,"ko\u0161\u00edk":16,"l\u00e9chenet":16,"l\u00e9o":16,"l\u00f6f":[23,26,33],"laulh\u00e8r":23,"leli\u00e8vr":16,"lo\u00efc":[7,16,23],"long":[8,13,16,24,29,50,51,52,57,58,66,70],"march\u00e9":[16,23],"mat\u011bj":16,"math\u00e9matiqu":23,"mu\u00f1oz":[23,76],"new":[4,5,6,8,12,13,14,24,26,28,30,31,33,35,36,38,41,42,45,50,51,53,54,57,59,60,63,65,66,70,71,72,74,76],"null":[16,23,26,56],"p\u00e9drot":16,"public":[13,16,24,49,58,73],"q\u2081":16,"q\u2082":16,"r\u00e9alis":23,"r\u00e9gi":16,"rapha\u00ebl":16,"return":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],"s\u00e9bastien":16,"sa\u00efbi":[4,23],"short":[8,13,16,23,24,30,34,35,50,52,54,56,58,63,74],"st\u00e9phane":16,"static":[16,23,24,52,70],"sup\u00e9rieur":23,"super":63,"switch":[3,8,12,13,16,23,24,50,52,65],"synth\u00e8s":23,"t\u2081":4,"t\u2098":4,"t\u2099":4,"th\u00e8se":76,"th\u00e9o":16,"th\u00e9ori":76,"th\u00e9ry":[10,16,23],"throw":[16,54],"tr\u1ea7n":16,"triangleright_\u03b2":30,"triangleright_\u03b4":[30,34],"triangleright_\u03b6":30,"triangleright_\u03b7":30,"triangleright_\u03b9":33,"true":[2,4,5,7,9,10,11,12,13,16,23,25,26,33,34,35,36,39,40,43,45,50,52,53,54,56,57,58,61,63,66,70,73],"try":[2,3,10,13,16,23,24,33,34,39,40,42,45,52,54,56,59,61,63,65,66,70],"trzci\u0144ski":16,"u\u2081":4,"u\u2098":4,"universit\u00e9":76,"v\u1d62":54,"v\u2080":54,"v\u2081":4,"v\u2099":[4,54],"var":[16,23,25,53,57],"void":16,"w\u2081":50,"w\u2099":50,"while":[2,3,4,8,9,11,12,13,16,23,24,25,26,28,30,31,32,33,34,35,36,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,72],"x\u1d62":54,"x\u2080":54,"x\u2081":4,"x\u2096":4,"x\u2099":[4,54],A:[3,4,5,7,8,9,10,11,12,16,23,24,25,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,45,49,50,51,52,53,54,56,58,59,61,62,63,65,70,71,73,74,75,76],And:[41,50,52,53,70],As:[2,3,5,6,8,9,10,12,13,16,25,27,29,33,35,36,37,40,41,42,43,45,50,52,53,54,56,57,58,59,65,66,70,71],At:[8,10,13,23,25,26,32,33,41,50,51,53,54,56,58,59,70,73],BE:2,Be:[16,74],But:[2,10,16,33,38,40,45,50,52,53,74],By:[3,4,5,10,11,12,13,16,28,36,43,45,50,52,53,54,56,59,63,65,66,70],For:[2,3,4,5,7,8,9,10,11,12,13,15,16,23,25,26,27,28,29,30,33,34,35,36,37,39,40,41,42,43,44,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,74],IF:[16,70],IS:70,If:[2,3,4,5,7,8,9,10,12,13,16,25,27,28,29,31,33,34,36,37,38,40,41,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,73,74],In:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],Is:[24,65],It:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,24,26,27,28,29,30,31,33,34,36,39,40,41,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],Its:[3,10,16,23,51,54,56,59,66],NO:56,No:[3,5,6,9,10,11,12,13,16,23,24,25,29,33,34,35,39,41,43,53,54,56,57,58,59,61,63,65,66,70,71,73],Not:[10,16,26,31,43,50,51,53,54,57,63,66,71,74,76],Of:[2,13,41,50,56],On:[3,11,16,23,26,29,31,36,39,43,45,50,52,53,56,57,63,70],One:[3,8,9,12,13,16,24,30,31,33,36,37,38,43,50,52,53,54,58,59,63,65,66,70,74],Or:[11,16,40,52,57],Such:[11,29,34,41,43,52,54,58,70,74],TO:2,That:[3,26,28,29,33,35,51,53,54,57,63,65],The:[2,3,4,5,6,8,9,11,12,13,14,16,23,24,27,28,29,30,31,32,35,36,37,38,39,40,41,42,45,50,51,53,54,57,58,59,61,62,63,64,65,66,71,72,76],Their:[3,16,31,33,38,54,56,58,70],Then:[2,4,5,10,13,23,25,26,28,31,33,40,41,45,50,52,53,54,56,57,58,59,63,64,65,66,70,73,74],There:[4,8,9,10,13,16,23,24,25,26,27,28,33,36,37,38,39,43,45,50,51,52,53,54,56,57,58,59,62,63,65,66,70,71,74],These:[3,10,12,13,16,23,24,26,27,28,30,31,33,35,36,37,39,51,52,53,54,56,57,59,63,65,66,70,71,72],To:[3,4,5,6,7,8,9,12,13,16,23,24,26,28,29,31,33,36,37,38,40,41,43,45,50,51,52,53,54,56,57,58,63,65,66,70,71,73,74],WITH:34,With:[3,12,13,16,45,52,56,57,66,70],_0:16,_1:34,_:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],__arith:5,__ff:5,__varmap:5,__wit:5,__x1:5,__x2:5,_a_:56,_and_:23,_assoc:58,_b_:56,_complet:71,_coqproject:[16,24,50,51],_correct:71,_darc:50,_e:70,_emphas:74,_eqn:16,_equat:71,_f:[40,71],_foo:16,_full:16,_h:28,_hl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],_ho:28,_hyp_:56,_i:[34,70],_ind:[33,34,39,70,71],_invol:16,_involut:16,_l:[16,33],_list:70,_list_sep:70,_m:34,_morphism:3,_mybool_scop:40,_n_:56,_not_:16,_p:70,_pack:41,_r:[16,40],_rec:[33,34,39,70,71],_rect:[16,33,34,39,70,71],_scope:70,_sind:[33,34,39,70],_subproof:[16,58,65],_subterm:58,_tcc:71,_termin:71,_underscores_:16,_x:[45,56],_x_:[16,56],_xxx_:56,a0:[23,45,66],a1:[3,26,33,45,56,57,70],a2:[3,26,33,57],a3:26,a_1:[25,33,34,37],a_:33,a_i:[25,33],a_j:[33,34],a_k:[33,34],a_l:25,a_left:16,a_m:33,a_n:[33,37],a_p:33,a_r:33,a_right:16,aac:16,aaron:16,ab:[26,56,66,70],abadi:76,abandon:16,abbr:16,abbrevi:[4,5,12,13,16,23,24,26,31,34,58,73],abc:70,abel:76,abezoutn:56,abhishek:16,abidin:76,abil:[2,3,10,11,12,16,29,51],abl:[3,8,10,12,13,16,23,24,33,41,43,45,50,52,54,56,57,58,60,61,66],abort:[3,10,16,41,43,53,54,56,63,65,66],about:[2,3,5,10,12,13,14,16,23,24,26,28,29,33,36,38,40,50,51,52,53,54,56,57,58,59,61,63,65,66,71],abov:[2,3,5,10,12,13,16,23,27,29,33,36,37,41,43,50,51,52,53,54,56,57,58,63,65,70,71,74],abr:23,abridg:56,abruptli:51,absenc:[9,16,70],absent:[36,58],absolut:[16,23,34,50,52,54,70],absurd:[5,26,33,50,57],absurd_hyp:16,absurd_set:26,abus:[2,54],ac19:[11,76],academ:76,acc:[16,26,33,34],acc_in:33,acc_ind:33,acc_intro:26,acc_inv:26,acc_it:16,acc_iter2:16,acc_rec:33,acc_rect:[16,26,33],acc_sind:33,acceler:[16,51],accept:[2,3,8,12,16,23,27,28,29,31,33,39,43,44,45,50,51,52,53,54,56,57,59,63,65,70,71],access:[5,13,16,23,24,27,31,32,33,34,35,37,43,50,51,52,54,56,58,70],accessopaqu:16,accident:[16,56],accommod:[23,56],accompani:16,accomplish:[13,56],accord:[2,10,16,25,33,34,40,50,52,56,58,59,63,70],accordingli:[8,16,39],account:[5,12,13,16,23,25,33,36,40,43,53,56,59,66,70],accumul:53,accur:[16,51,52,56,70],accustom:56,acdsimpl:10,achiev:[7,10,12,16,23,53,56,70],achil:54,ack0:59,ack1:59,ack2:59,ack:[58,59],ackermann:58,ackm:58,acknowledg:24,acm:76,aco:16,across:[16,51,53,54,56,58,72],act:[9,16,36,45,51,53,54,66],actic:76,action:[16,23,51,52,56,59],activ:[8,9,13,16,23,24,28,31,34,36,41,42,43,45,51,52,53,58,59,63,65,70],actual:[2,3,5,8,10,13,16,23,33,36,41,42,43,45,53,54,56,59,63,66,70,71],acycl:[23,38],aczel:23,ad:[2,4,9,12,13,16,23,24,26,33,36,41,43,50,52,53,54,56,57,58,59,61,63,65,66,70,72,74,76],adam:16,adapt:[3,7,16,23,50,56,62],add1:54,add:[3,4,5,8,9,10,12,13,16,23,24,26,28,30,31,33,36,37,40,41,43,45,50,52,53,54,56,57,58,59,61,63,65,66,70,72,74],add_0_l:16,add_assoc:[16,58],add_bottom:[16,70],add_carri:16,add_carry_div2:58,add_comm:[3,16,58,63],add_instance_attempt:41,add_last:56,add_mul:56,add_shuffle0:58,add_shuffle1:58,add_shuffle2:58,add_shuffle3:58,add_succ_comm:58,add_top:[16,70],add_transpose_neqkei:16,add_un_double_moins_un_xo:16,add_zifi:5,addit:[3,4,5,8,9,12,16,23,24,26,28,30,33,34,38,50,51,52,53,54,56,57,58,59,61,63,64,65,66,70,71,72],addition:[9,12,13,16,33,45,52,53,57,58,63,65],addn0:56,addn:56,addnc:56,addnca:56,addpath:[16,23],addr:16,addrecpath:[16,23],address:[16,51],addsn:56,addsnn:56,addx:56,adhoc:[16,36],adjac:56,adjoin:16,adjoint:16,adjointif:16,adjust:[13,16,37],admiss:[29,37],admit:[8,9,12,16,29,31,36,41,45,50,51,56,65],admitaxiom:16,adopt:[16,56,72,74],adrian:16,advanc:[5,16,24,32,33,41,52,53,54,57,63,70,73],advantag:[8,16,23,45,50,52,56,61,63,66],advertis:16,advic:14,advis:[10,16,23,24,27,28,29,53,59],aeq:3,aesthet:53,affect:[11,16,23,28,40,43,45,52,53,54,56,58,59,63,65,70],affeldt:16,aforement:[9,50,54],aft:74,after:[2,4,5,7,8,9,10,12,16,23,28,31,33,34,37,40,41,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71],afterward:[9,16,40,43,51,56,59,65,66],again:[3,12,16,23,33,41,51,52,56,59,63,65,70],against:[12,16,43,53,56,57,58,59,61],agda:29,aggress:56,ago:16,ahead:[16,53],aid:23,aim:65,aka:[16,71],akin:[16,29,54],akira:16,al:[3,56],al_unit:53,ala:52,alban:16,albeit:16,aleksandar:76,alessandro:76,alexand:16,alexandr:16,algebra:[7,13,16,23,38,41,53,54,63,76],algorithm:[3,7,9,10,12,16,23,24,40,50,53,56,58,61,65,76],algorithmica:76,ali:16,alia:[2,16,23,28,34,45,54,57,59],alias1:34,alias2:34,alias:[16,23,24,28,34,54],alias_definit:[54,57],align:[58,70],all:[2,3,4,5,7,8,9,10,11,12,13,16,23,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72],all_eq:11,all_iff_morph:3,all_nul:56,all_sig2_cond:16,allai:16,alldfil:52,allevi:66,alloc:[16,50],allow:[2,3,4,5,7,8,9,10,11,12,13,16,23,24,25,26,27,29,30,31,33,36,37,39,41,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71],allt:[16,23],alltact:51,almost:[3,16,56,66,74],alon:[16,23,33,66],along:[8,16,23,33,52,56,57,65,73],alongsid:16,alpha:[16,30,53,54],alpha_p:5,alphabet:16,alreadi:[2,4,12,16,23,26,27,31,36,40,41,43,50,51,52,53,54,56,57,58,59,65,66,70,72],alright:2,also:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71,72,73,74,76],alter:[16,34,74],altern:[7,8,9,10,12,16,23,24,28,29,34,39,42,43,45,51,52,54,56,58,61,63,64,65,70,74,76],although:[3,5,9,16,34,36,52,54,56,57,59,63,65],alvarado:23,alwai:[2,3,4,6,9,10,11,12,13,16,23,25,33,34,36,40,41,43,50,51,52,53,54,56,57,59,65,66,70,73,74],am:54,ambient:54,ambigu:[4,16,24,45,52,56,58,59,65,70],ambiti:23,ambrois:16,amen:66,amend:41,amin:16,amokran:[4,23],among:[7,8,12,16,23,24,25,33,43,52,53,54,56,63],amorim:16,amount:[3,5,8,13,16,26,50,53,57],an:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,45,50,51,52,53,54,57,59,61,62,63,64,65,70,71,73,74,76],ana:16,analog:[3,16,33,53,56,57,65],analogu:56,analys:12,analysi:[16,23,24,29,33,36,39,45,56,57,71,76],analyz:[16,26,39,56,66],anand:16,ancestor:[23,52],andE:56,and_assoc:58,and_darc:50,and_rect2:26,andb:[12,16,26,61],andb_comm:58,andb_negb_l:16,andb_prop:58,andb_true_intro:58,andbc:56,andp:56,andpp:16,andr:16,andrea:[16,76],andrej:16,andrew:[16,76],anew:56,angl:23,anguag:76,ani:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,25,27,28,29,30,31,33,34,36,37,38,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,74],annoi:56,annot:[3,9,13,16,23,24,26,33,40,41,44,50,52,54,56,65],anomali:[16,23,58],anonym:[13,16,23,24,43,53,65],anoth:[3,4,9,10,12,13,16,23,26,30,31,33,34,39,41,42,43,45,50,51,52,53,54,56,57,58,61,62,63,65,66,70],anr:16,ansi:50,answer:[10,45,52],antialias:51,antinomi:23,antipoli:[16,23],antiquot:[16,24],antisymmetr:16,anton:16,antonia:71,antonio:16,anymor:[9,16,54,58],anyth:[2,12,16,34,43,45,50,54,56,57,63,74],anything_ind:2,anything_rec:2,anything_rect:2,anything_sind:2,anytim:53,anywai:56,anywher:[42,57,74],ap:[4,10],apart:[9,12,30,34,54],api:[8,16,24,58,62],app:[16,25,26,33,34,54,57,66],app_ass:16,app_assoc_revers:16,app_eq_app:16,app_eq_con:16,app_inj_pivot:16,app_inj_tail_iff:16,app_inv_head_iff:16,app_inv_tail_iff:16,app_nil_end:16,app_nth2_plu:16,app_rlist:16,appar:[13,16,50,53,56],apparatu:9,appart:50,appcontext:16,appdata:51,appeal:26,appear:[2,6,9,10,12,13,16,23,27,28,30,33,34,36,37,38,40,42,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,73,74],appel:16,append:[3,16,28,34,42,52,53,65,74],append_const:16,append_inj:16,appendix:16,appli:[2,3,4,5,9,10,12,13,16,23,24,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,43,45,50,52,53,54,58,59,61,65,70,71,74],applic:[3,5,10,12,13,16,23,24,25,28,29,34,35,36,40,45,51,54,56,58,59,63,65,66,70,71,76],apply_id:70,apply_mor:3,approach:[23,26,51,52,54,56,57,66,74],appropri:[4,12,13,16,28,52,54,56,58,61,63,65,66,74],approxim:[5,11,13,16,59],apr:16,april:[16,76],ar:[2,3,4,5,6,7,8,9,10,11,12,13,15,16,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,49,50,51,52,53,54,57,58,59,60,61,62,63,64,66,70,71,72,73,74],ar_unit:53,arab:28,arakaki:16,arbitrari:[2,3,5,10,13,16,23,30,43,45,52,56,59,61,70],arbitrarili:[16,57,70],archclean:52,architect:23,architectur:[16,23,28],archiv:[16,76],area:16,aren:[16,51,52,53,57,72,74],arg:[16,23,27,36,43,50,52,54,56,59,66],arg_spec:40,args_modifi:40,argument:[3,4,5,6,7,8,9,10,11,12,13,16,23,24,26,27,28,29,30,31,32,33,34,37,39,41,42,44,50,51,53,54,57,58,59,61,63,65,71,74],argument_spec:40,ari:[3,16,33],aria:16,aris:[3,9,12,16,29,66,70],arith:[3,5,9,10,16,23,26,42,52,56,57,58,59,63,71],arith_bas:16,arith_prebas:16,arithmet:[16,23,24,35,43,56,59,60,70],arithr:10,ariti:[2,16,23,24,45,54],arnaud:16,around:[11,16,23,28,45,51,52,54,56,57,58,63,66,70,74],arr:[25,33],arrai:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],array_get:35,array_set:35,array_typ:35,arrow:[3,4,13,16,51,56,59,63,66],art:[16,51],arthur:16,articl:23,articul:70,artifact:16,artifici:[16,23,66,70],as_ipat:57,as_nam:57,ascand:23,ascii:[16,51,52,70,74],ascii_as_ot:16,asciisyntax:16,ascrib:16,asf:76,asid:[65,66],asin:16,ask:[2,3,16,24,41,42,52],askra:58,aspect:[16,23,45],asr:16,ass:53,ass_app:16,assert:[2,16,23,24,25,27,33,40,53,54,56,57,61,63,65,66,70],assert_fail:[16,24],assert_succe:[16,24],assia:[10,16,41,56,76],assign:[8,16,24,26,28,42,50,51,52,53,54,57,65,70],assist:[16,23,32,64,74],assoc:53,associ:[2,3,10,12,13,16,23,24,25,26,27,28,30,31,33,34,35,36,41,43,45,50,51,52,53,54,56,57,58,59,63,65,66],assum:[2,3,5,8,10,12,16,25,26,27,31,33,34,35,37,38,41,43,45,50,52,53,54,56,57,58,63,65,70,74],assumpt:[4,16,23,24,25,31,32,33,34,35,43,50,51,52,53,57,58,59,65,66],assumption_token:[27,58],assur:[16,52],ast:[16,23,36],ast_closure_term:16,asterisk:74,asymc:51,asymmetr:[16,45],asymptot:[2,58],async:[8,16,51,53],asynchron:[16,24,65,75],atan_right_inv:16,atom:[4,5,8,13,16,25,59,61,66,70],atomic_tac2pat:54,attach:[13,16,28,51,58,70,73],attack:50,attempt:[8,16,23,40,51,53,65],attent:65,attila:16,attr:[16,28,50],attr_valu:28,attract:16,attribtu:13,attribut:[3,9,12,13,15,24,27,29,31,33,36,37,39,40,41,43,50,53,54,58,59,61,63,65,70,73],auger:16,august:[16,23],austin:23,author:[2,3,4,5,7,8,9,10,13,16,26,28,41,45,56,72,73],auto:[10,12,13,16,23,28,33,40,43,50,51,53,56,57,58,59,61,65,66,71],auto_us:59,autoappli:[12,16],autocomplet:16,autogener:16,autoinlin:[2,16],autom:[16,23,24,42,53,58,60,63,65,66,76],automat:[2,3,5,7,9,12,13,16,23,24,26,27,33,34,36,39,41,45,51,52,53,54,56,57,59,63,64,65,70,71,74,76],automath:23,automatiqu:76,automaton:[23,74],autonom:16,autorewit:16,autorewrit:[3,16,23,59],autounfold:[16,59],auxiliari:[8,16,52,53,56,65],avail:[2,8,9,10,11,12,16,23,24,26,29,34,35,36,37,39,41,45,49,50,51,52,53,54,56,57,58,59,61,62,63,64,65,70,71,73,74,75,76],avec:23,averag:23,avi:16,avl:[16,26],avoid:[8,10,11,12,16,23,24,28,33,36,51,53,54,56,57,58,59,63,65,66,70,73],awai:53,await:51,awar:[16,50,51,54,57,58,61,65],awkward:[23,53,54],ax:[25,43,66],axiom:[3,7,9,10,11,13,16,23,24,26,27,28,29,30,31,33,34,35,41,43,50,51,53,56,57,58,59,63,65,66,70,71,73],axiomat:[16,23,26,35,53,70],axiomatis:16,ayach:16,azevedo:16,b0:45,b1:[56,58],b2:[56,58],b2n:[40,58],b3:56,b:[2,3,4,8,9,10,11,12,13,16,23,24,26,27,30,33,34,36,37,39,40,41,43,45,49,50,51,52,53,54,56,58,59,61,63,65,66,70,76],b_1:33,b_:33,b_i:33,b_j:33,b_m:33,b_r:33,ba:16,back:[3,9,13,16,23,50,51,53,56,57,58,65,66],backchain:56,backend:23,background:[8,16,30,50,51,53,65],backport:16,backquot:16,backslash:50,backspac:51,backto:[16,58],backtrac:[16,24,54,58],backtrack:[10,12,16,23,24,51,57,59,66],backward:[16,24,50,51,54,56,65,70],bad:[2,10,11,13,16,33,58,63],baeld:16,bahmann:16,bail:8,bakel:16,balaa:71,balanc:[16,56],banner:23,bar0:54,bar81:[25,65,76],bar:[2,8,13,16,28,34,50,51,52,54,56,63,65,70,73],bare:[16,70],barenblat:16,barendregt:[23,76],barra:[10,16,23],barrett:16,barri:16,bart:16,barth:71,base0:59,base1:59,base:[3,5,10,11,12,13,16,23,28,32,34,38,41,42,43,50,51,52,53,54,56,57,59,61,62,63,65,66,70,72,74,76],base_includ:58,basenam:52,bash:[8,16,51],basi:[7,16,51,58],basic:[3,10,16,23,24,31,32,33,34,36,39,41,43,45,50,57,58,59,62,65,66,72],basicelim:[16,66],basicmatch:45,batch:[16,24,53,65],bati:16,baz:[13,52],bazaux:52,bdd:2,bdenesgregoire11:[63,76],beautifi:[16,50],becam:[16,23],becaus:[2,3,4,8,10,11,13,16,23,25,27,28,30,32,33,34,36,38,39,40,42,43,44,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71],beck:16,becker:16,becom:[2,8,10,16,23,25,27,33,34,39,43,45,51,52,54,56,57,58,63,65,66,70],bedrock:16,been:[2,3,8,9,10,12,13,16,23,24,26,28,31,33,34,40,41,43,45,50,51,52,53,54,56,57,58,59,62,63,65,66,70,71,72,73],beep:70,befor:[2,4,5,12,13,16,27,28,31,33,36,40,41,43,50,51,52,53,54,56,57,58,59,63,65,66,70,72,73,74],beforehand:[16,50,54],begin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],beginn:[16,24],behalf:16,behav:[3,10,16,23,28,30,33,34,42,52,53,54,56,57,59,61,63,66,70],behavior:[2,3,4,10,12,13,16,23,28,29,31,33,40,42,43,50,51,52,53,54,56,57,58,59,63,65,66,70,72,74],behaviour:16,behind:[4,16,27,33,56],being:[2,3,9,10,11,12,13,16,23,31,32,33,34,36,37,39,41,45,50,51,52,53,54,56,58,59,63,65,66,70,71,74],believ:[16,54],bell:16,belong:[5,8,10,25,26,28,33,36,38,52,53,56,58,59,62,66,70,74],below:[2,4,5,8,9,10,12,13,16,24,25,26,30,33,34,37,39,40,42,50,51,52,53,54,56,58,63,65,70,71,73,74],benaissa:76,benchmark:[16,53],benefici:8,benefit:[12,16,50,56],bengtson:16,benjamin:[10,16,76],berlin:76,bernhard:16,bernstein:23,bertholon:16,bertot:[16,23,71],bertrand:16,besid:[3,16,23,33,56],besson:[5,16],best:[12,16,52,53,56,59],best_effort:[12,16],beta1:24,beta2:24,beta3:24,beta:[2,10,16,23,54,56,57,63,70,76],betaiota:16,better:[10,13,16,23,50,51,52,56,58,59,63,71],between:[3,4,8,10,12,13,16,23,24,25,26,28,32,33,37,38,42,43,45,50,51,52,53,56,57,59,63,64,66,70,71,74],bewar:[16,52,54,62,66],beyond:[58,62],bezem:76,bezout_comm:16,bf:[12,16],bfb0037116:76,bfb0040259:76,bformula:5,bg:65,bhat:16,bi:3,bibliographi:24,bibtex:16,bidirect:16,bidirection:[16,24],big:[10,13,16,56,58,70],big_int:16,big_int_z:16,big_prop:56,bigbodi:56,bigger:33,biggest:52,bigint:[16,28,70],bign:16,bignat:[28,70],bignum:[16,52],bigop:56,bigq:16,bigvee_:5,bigwedge_:5,bigwedge_i:5,bigz:[16,52],bij:4,biject:[4,16],bin:[16,52],binari:[3,5,7,10,13,16,23,26,28,36,41,50,52,56,57,59,63,70],binary64:[16,26,35],bind:[3,9,13,16,23,24,27,31,33,34,36,39,42,43,45,50,53,56,63,65,66,71],binder:[11,12,16,23,24,29,31,33,36,37,39,51,53,54,57,58,62,63,66,74],binder_interp:70,bindir:[16,50],binint:[16,52],binintdef:16,binnat:[16,58],binnatdef:[16,58],binnum:[16,58,70],binop:5,binopspec:[5,16],binpo:[16,58],binposdef:[16,58],binrel:5,bird:6,birkhaus:76,bishop:23,bit0_eqb:58,bit:[2,5,16,26,28,29,33,35,50,52,65,70,74,76],bitvector:16,bitwis:[16,58],blaauwbroek:16,black:[16,28],blacklist:[2,16,58],blah:54,blank:[16,23,28,52],blanqui:56,blaudeau:16,blazi:76,bleed:16,bliss:54,blob:51,block:[2,9,13,16,24,28,29,33,36,37,43,45,53,63,64,66],blocktyp:8,blow:16,blowup:16,blue:[28,51],bm:56,bmod:56,bodi:[2,4,6,12,13,16,23,31,34,36,37,40,41,43,50,54,56,57,58,63,71,74],bodin:16,bodo:16,boespflug:76,bogu:8,bohannon:16,bold:65,boldfac:28,boldo:23,book:[16,24],bookkeep:24,bool:[2,4,5,11,12,16,23,26,29,34,35,36,39,40,41,43,45,54,56,57,58,59,70],bool_as_dt:16,bool_as_ot:16,bool_cas:39,bool_choic:[26,58],bool_in_nat:4,bool_ind:[26,39],bool_rec:[26,39],bool_rect:[26,39],bool_scop:[16,26,40,70],bool_sind:[26,39],boolean_if_scop:56,boolnot:16,boolord:16,boot:16,border:70,borg:16,boro:16,borrow:16,both:[2,3,4,10,13,16,23,24,25,26,27,28,30,33,36,39,41,42,43,45,50,51,52,53,56,57,59,60,63,65,66,72,73],bottom:[3,16,36,45,51,53,54,57,63,70],bottomup:3,bou97:[10,76],boulier:16,bound:[3,5,6,7,13,16,23,24,25,26,27,30,31,33,38,40,41,43,45,51,53,54,56,57,58,59,61,63,71],boundari:[16,53],bourk:16,boutilli:16,boutin:[10,23,76],box:[11,16,28,53,70],box_ind:11,box_irrelev:11,box_rec:11,box_rect:11,box_sind:11,boyer:[16,23],brace:[24,43,51,58,70],bracket:[16,23,25,43,53,56,58,65,70,74],braibant:16,brain:16,branch:[2,5,9,16,24,33,39,44,45,54,58,59,65,66,71],brand:16,breadth:12,breakag:16,breakpoint:[16,24],breitner:16,bresenham:23,breviti:[41,57,65],bridg:[16,56],briefli:[23,26,56],bring:[16,58],broke:16,broken:[10,16],brought:16,brows:[16,24,26,51,56,72],browser:[16,51],bruijn:[16,23,32,76],bruno:[10,16,23],brute:[56,63],bs:45,btauto:[16,61],btauto_plugin:[10,26,28,35,56,65],btauto_term:61,buchberg:[7,23,76],buffer:[16,24,34,52],bug:[11,16,23,51,53,65],bugfix:16,buggi:[16,24,32],bugtrack:16,build:[2,5,9,10,13,16,23,24,25,26,31,32,33,36,41,45,50,53,54,56,58,59,62,64,65,66,71,74,75,76],build_:36,build_monad:13,build_monoid:13,build_setoid:41,buildlist:45,built:[2,4,10,16,23,24,25,30,31,33,36,40,41,51,52,53,57,59,60,61,66,70,71],builtin:51,bullet:[8,16,24,33,58],bump:16,bunch:[16,56],burden:3,busi:16,button:[8,16,23,51],buys:16,bv2n:16,bvand:16,bvector:16,bveq:16,bvneg:16,bvor:16,bvxor:16,byextend:16,bypass:58,bypass_check:[29,31,33,58],bytecod:[11,16,58,63],bytevector:16,c0:[10,58],c1:[16,45,56,70],c2:[16,45,56,70],c3:[56,70],c4:56,c:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],c_1:[5,25,33,34],c_2:5,c_:33,c_i:[5,33,34],c_k:[25,33],c_m:34,c_n:[33,34],c_pattern:56,c_q:33,cach:[5,11,16],cachan:[16,23],caci:16,caglayan:16,calcul:[23,24,76],calculi:[53,61,76],calculu:[10,13,16,23,24,26,28,30,32,33,34,36,45,53,56,57,61,63,65,66,70,76],call:[2,3,4,5,6,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,33,34,35,36,38,39,41,43,44,45,50,52,53,56,57,58,59,63,65,66,70,71],calvin:16,cambridg:[23,76],came:16,caml:[16,23,74],camlc:52,camldir:16,camlflag:[16,52],camloptc:52,camlp4:[16,23],camlp5:[16,70],camlpkg:[16,52],can:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,50,51,52,53,54,56,57,58,59,60,61,63,64,65,66,70,71,72,73,74],can_in_comp:16,can_in_pcan:16,cancel:[10,37,56,65],candid:[56,57,63,71],cannot:[2,3,4,8,9,10,11,12,13,16,25,27,28,31,33,34,35,36,39,40,43,45,50,52,53,54,56,57,58,59,61,63,65,66,70,71,74],canon:[2,4,5,10,12,16,23,24,29,31,33,34,36,43,44,52,56,58,70,76],cantor:[16,33],capabl:[3,16,50,52,53,54,63],capit:[16,28],captur:[3,16,33,43,56,63,70],car:3,carbonneaux:16,card:56,card_nat:53,cardinal_add_in:16,care:[2,12,13,16,45,52,53,63,66,70,74],carefulli:59,carl:16,carlo:[23,76],carri:16,carrier:[3,10,13,41,56],carst:16,cartesian:[13,53],carthi:59,cascad:16,case_eq:16,case_item:39,case_l_r:16,casetyp:16,cast:[2,11,16,24,39,45,53,54,56,57,59,63,70],casual:[24,56],cat:16,categor:23,categori:[4,8,12,16,34,50,58,60,73,74],catherin:9,cauchi:[16,26],caught:[45,53,54],caus:[8,11,13,16,31,50,51,52,53,54,56,57,58,63,65,70,74],caution:65,caveat:[2,16,24,54,56,59],cbn:[16,40,63],cbv:[13,16,23,30,56,63],cc:[52,76],cd:[2,52],ce:41,ceil:5,cell:35,centaur:23,central:[23,24],centuri:23,cep:16,cequival:3,certain:[4,16,23,28,43,45,50,53,56,57,58,63,66,70],certif:16,certifi:[2,9,16,23,76],cezari:16,cf07:[35,76],cf:[2,9,16,23,28,33,39,41,45,58,66],cfc58:[25,76],ch85:[23,76],ch86a:[23,76],ch86b:[23,76],chailloux:23,chain:[16,24,50,63,70,73],chaje:[16,57],challeng:[16,23,76],chalmer:[23,76],chanc:[16,52],chang:[2,4,5,8,9,10,12,13,24,25,28,30,33,35,36,37,40,42,50,51,52,53,56,57,58,59,61,63,65,66,70,72,73,74],change_arg:16,change_no_check:[16,57,63],changelog:[16,23],changement:23,channel:[16,50],chantal:16,chap:23,chapoton:16,chapter:[2,3,8,9,10,12,14,16,23,25,26,28,30,31,32,33,37,39,41,44,51,53,54,56,57,58,60,62,64,70,72,74,75],char_scop:70,charact:[2,8,13,16,23,24,26,28,34,39,43,45,52,53,54,56,57,58,63,65,70,71,73,74],character:[8,16,33,39,41],characterist:5,charg:16,charset:[51,74],chasl:23,chat:16,cheap:16,cheapli:45,check:[2,3,4,5,6,8,9,10,11,12,13,16,23,24,25,26,29,31,32,33,34,36,37,38,39,40,41,42,43,45,50,51,52,54,56,57,58,59,61,63,65,66,70,71,73,74],check_guard:58,check_posit:58,check_univers:58,checkabl:23,checker:[2,9,10,16,23,24,25,28,32,72],checkproof:[8,16],checksum:[16,50],chet:23,chetan:23,chile:16,chines:[2,23],chlipala:16,cho:16,choic:[3,16,26,33,50,51,54,61,70,74],choice2:26,choicefact:16,choos:[2,3,16,31,33,41,42,51,52,53,56,57,66,70,71,74],chose:52,chosen:[10,33,53,54,56,57,65,70],christian:16,christin:[16,23,26,33,76],christoph:[2,16,23,76],chronolog:14,chung:16,church:[23,76],ci:[10,16,52,56,72],cic:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],circ:26,circular:[4,16,56],circumv:16,cjk:[16,28],clamp:56,claret:16,clarif:16,clarifi:[16,23],clariti:[57,65],clash:[2,16,52,53,56],class_1:16,class_2:16,class_of:41,classic:[10,16,23,24,26,33,50,54,56,65],classical_left:[16,57],classical_prop:16,classical_right:[16,57],classicaldedekindr:16,classicalfact:16,classifi:[16,26],classnam:12,claud:16,claudel:16,claudio:[3,16,23],claus:[9,12,13,16,23,24,27,28,29,31,33,34,39,40,50,52,53,54,56,58,59,61,63,66,70,71],clean:[16,52,56,66,71],cleanal:[16,52],cleaner:16,cleanup:16,clear:[16,23,24,28,37,40,43,53,54,57,63,66,70],clear_switch:56,clearbodi:[16,23,37,57],clearer:54,clearli:[10,23,70,73],clenv_refine_in:16,clerc:16,clever:[16,58,63],click:[8,51],client:16,clipboard:51,clock:63,clos_refl_tran:16,close:[2,3,4,5,7,9,10,13,16,23,27,28,31,33,34,37,43,50,51,54,56,58,59,63,65,66,70,74],closedn:16,closer:[16,23,30,56,59,71],closest:[26,52],closur:[16,23,30,53,54,61,65],club:16,cm:52,cma:16,cmafil:52,cmd:[3,50,51,53],cmi:16,cmifil:52,cmo:[50,58],cmofil:52,cmorphism:[3,16],cmp:41,cmu:23,cmx:[2,3,5,6,9,10,16,26,28,33,35,41,42,50,53,54,56,57,58,59,63,65,71],cmxa:16,cmxafil:52,cmxfile:52,cmxsfile:52,cn:16,cnet:23,cnr:23,co:[4,10,16,23,24,41,43,53,56,58,63,66,70,76],co_high:13,co_low:13,coarser:16,coc:23,coc_histori:16,cockx:76,code:[9,10,11,16,23,24,28,32,35,50,51,52,53,54,56,58,59,62,63,70,71,72,73,74],codebas:16,codifi:[54,76],codomain:[16,41,70],coeffici:[7,10,16],coen:[3,16,23],coerc:[4,40,56,59],coercibl:[9,56],coercion:[9,12,16,23,24,27,34,36,40,41,44,56,57,58,76],coercion_class:[4,70],coexist:16,coffe:16,cofix:[16,24,27,28,30,43,53,54,56,63,66],cofix_bodi:29,cofix_definit:[29,37],cofixpoint:[16,28,29,31,33,37,56,63,65],cohen:16,coher:[16,40],coin:5,coinduct:[13,16,24,25,26,31,32,33,36,39,45,58,66,70],collabor:76,collaps:[13,16,50],colleagu:23,collect:[16,26,50,52,59,65,71],collid:23,collis:[16,23,50],colog:76,colon:[16,50,52,56,65],color:[8,16,24,50,51,65,74],colson:23,column:[16,45,52,56],com:[2,5,16,50,51,53],coma:51,comand:16,combin:[3,5,9,11,13,16,23,24,25,26,28,33,36,39,41,45,51,52,53,54,56,58,62,63,74],combinator:16,combinatori:76,come:[2,6,8,12,16,23,26,33,42,50,51,53,54,56,58,59,63,70],comextradep:58,comfort:[16,45],comma:[16,45,50,54,56,73],command:[2,4,5,6,7,8,9,10,11,13,15,24,25,26,27,28,29,31,33,35,36,37,39,40,41,42,43,44,45,52,53,54,57,59,61,62,63,71,72,73],commemor:[23,76],comment:[2,5,16,23,24,28,51,53,56,59,65,74],commit:[16,52,53,54,62],common:[10,13,16,24,25,26,28,30,31,33,54,56,59,66],commonli:[9,13,16,26,39,52,53,54,56,57,65],commun:[16,23,26,28,50],commut:[7,10,16,23,43,58],comp:[16,52],compa:16,compact:[16,23,24,33,53,56,58,65,70],compani:[16,65],companion:42,compar:[4,5,10,13,16,23,24,26,36,41,52,53,54,56,57,63,65,66,72],compare_cas:16,compare_cont:16,compare_dec:[16,23],compare_structur:53,comparison:[5,13,16,23,41],compat:[3,4,12,13,23,24,26,28,33,41,50,51,52,57,58,61,70],compatibl:16,compcert:24,compil:[2,3,8,9,10,11,23,24,25,26,28,31,34,35,45,54,57,63,72,73,74,76],complement:[16,56],complementari:[2,16,23,26,41,56],complet:[3,4,5,7,8,9,10,16,23,28,29,31,33,35,39,41,50,51,52,53,56,57,58,59,61,65,66,70],completeness_weak:16,complex:[2,10,16,23,24,28,32,34,51,53,54,56,58,60,62,65,66],compli:35,compliant:16,complic:[33,42,45,54],compon:[12,16,23,24,29,32,33,34,36,41,50,51,52,53,56,58,70],compos:[3,4,33,43,56,66,70],composit:[3,26,70],compound:[28,53],comprehens:23,compress:[50,52],compris:[3,23],compspec:16,comput:[2,3,7,8,9,10,16,23,24,26,28,29,31,33,34,35,36,40,41,45,50,51,54,56,58,66,70,71,76],computation:65,con:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],conc:66,concat:[16,45,54],concat_length:16,concat_nil_foral:16,concaten:[16,25,26,53,54,66],concept:[16,23,24,26,30,56,76],conceptu:[3,33],concern:[2,11,16,23,25],conchon:76,concis:[54,56],concl:[16,58],concl_occ:57,conclud:[5,12,16,33,53,56,63,66],conclus:[3,10,12,16,23,27,33,53,54,56,57,59,63,65,66,70],concret:[2,12,13,16,24,25,28,33,41,45,50,56,63,70],concurr:16,condit:[3,4,9,10,16,23,24,26,29,49,52,58,59,62,63,65,66],cone:[5,16],conejero:16,conf:[16,52],confer:[23,76],confid:[16,23,24],config:[16,50,51],configur:[8,16,23,24,28,39,50,51,58,63,65,72],confin:8,confirm:[58,70],conflict:[16,23,24,45,53,54,70],conflit:16,confluenc:30,conform:16,confus:[4,12,16,23,25,28,33,43,45,51,54,56,70],confusingli:[16,57],congr:56,congruenc:[3,11,16,23,24,33,53,61,63,66],congruenceclosur:23,conj:[26,56,57,65,70],conjectur:[16,27,65],conjunct:[3,5,10,16,23,26,33,56,58,59,66,70],connect:[16,24,56,61,70],connor:16,conor:[66,76],cons2:33,cons3:33,cons:16,cons_inj_bool:43,cons_inj_nat:43,cons_rlist:16,cons_seq:16,consequ:[16,23,25,28,33,37,38,41,42,43,45,51,56,59],conserv:[2,16],consf:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],consid:[2,3,4,5,9,10,11,12,13,16,23,25,27,28,29,30,33,36,40,41,43,45,51,52,53,54,56,57,58,59,63,66,70,72,74],consider:[3,9,16,36,38,45,63,66,70],consist:[3,4,5,8,10,12,13,16,23,26,29,30,33,34,51,54,56,57,58,63,64,65,70],consn:45,consol:53,consolid:16,consortium:16,constabl:23,constant:[2,4,5,6,9,10,12,13,16,23,24,25,26,29,30,31,33,34,35,37,40,41,43,45,50,53,54,56,57,59,63,65,66],constantli:56,constitut:[24,38,54],constr:[3,5,13,16,23,33,53,54,70],constr_eq:16,constr_eq_nouniv:16,constr_eq_strict:[16,53],constr_may_ev:16,constr_with_bind:16,constrain:[9,13,23,59,66],constraint:[3,5,8,9,12,16,23,24,33,34,38,42,43,50,52,53,54,57,66,70],constrast:36,constrexpr:16,construct:[3,4,5,8,9,10,12,13,16,24,26,27,28,29,30,32,34,40,41,42,45,51,52,54,56,57,61,62,63,64,65,66,70,76],constructivecauchyr:16,constructiveepsilon:16,constructiveminmax:16,constructivepow:16,constructiver:16,constructor:[2,4,9,11,12,13,16,23,24,25,26,29,30,31,34,35,36,39,40,41,42,43,45,53,54,56,57,58,59,61,63,65,70],consult:63,consumpt:[8,16,53,54],consw:33,contact:[16,51],contain:[2,5,7,8,12,13,14,16,23,26,28,29,30,33,34,38,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,73,74],contains0:66,contains0_ind:66,contains0_sind:66,contant:30,content:[2,16,23,26,31,34,41,50,51,52,53,56,58,65,70,74],context:[4,5,9,10,13,16,23,24,25,28,29,30,31,33,34,37,40,42,43,50,51,58,61,63,65,66,70],contextu:[16,23,24,30,40],contigu:[16,28],continu:[2,16,23,51,52,53,54,56,70,72],continut:16,contract:[16,23,30,33,53,61,70,76],contradict:[16,33,53,56,59],contradictori:[16,66],contrainst:16,contrari:[3,4,9,12,16,29,39,43,56,66],contrast:[13,16,33,52,56,59,61,66],contrastingli:[28,70],contravari:13,contravariantli:3,contrib:[2,16,23,52,54],contribut:[16,24,52,70],contributor:16,control:[2,3,12,13,15,16,23,24,33,36,40,50,51,52,54,61,66,70,74],control_command:[16,28,58],contructor:66,conv:25,conv_expr:16,conveni:[2,4,6,11,16,23,28,32,33,34,43,45,51,52,53,56,65,66,70],convent:[2,16,24,32,41,50,56,58,70],convention:[16,52,70],converg:16,convers:[2,3,7,8,9,10,11,12,16,23,24,25,29,31,32,33,34,36,53,54,56,57,65,70,74],convert:[3,4,8,11,12,13,16,24,25,26,33,36,40,43,53,54,56,57,63,66],convert_concl_no_check:16,convinc:23,coolen:16,coordin:[16,23],copattern:29,cope:16,copi:[2,14,16,35,45,51,52,53,56,58,74],coq84:16,coq85:[16,30,76],coq86:[38,76],coq88:16,coq89:[23,76],coq92:[33,76],coq:[3,4,5,6,8,9,11,12,13,14,16,25,27,28,29,30,31,32,33,34,35,36,37,40,41,42,43,44,45,49,53,54,57,58,61,62,63,64,65,66,71,72,75,76],coq_:2,coq_color:[16,50,65],coq_flag:52,coq_makefil:[8,16,23,24,50,51,58],coq_micromega:5,coq_profile_compon:50,coq_src_subdir:52,coq_vers:52,coqbin:[16,50,52],coqc:[8,16,23,24,28,51,53,58,65,74],coqchk:[16,24,52,63,72],coqchkextraflag:52,coqchkflag:[16,52],coqcorelib:52,coqdebug:52,coqdep:[16,24,50,58],coqdev:16,coqdir:[16,74],coqdoc:[16,23,24,50,52,75],coqdocdir:16,coqdocextraflag:52,coqdocflag:[16,52],coqdocid:74,coqdocinstal:[16,52],coqdockw:74,coqdocmodul:74,coqextraflag:52,coqflag:[16,52],coqid:[8,24,34,50,52,53,65,75],coqiderc:[16,51],coqidetop:16,coqlib:[16,50,52,58,70],coqlib_path:16,coqlib_url:[16,74],coqlibinstal:[16,52],coqloop:50,coqmakefil:[16,24,51],coqmakefile_vers:52,coqmktop:52,coqn:[16,50,52],coqoon:16,coqpath:[16,50,52],coqplugininstal:[16,52],coqpp:[16,52],coqprefixinstal:16,coqprim:16,coqproject:52,coqrc:[23,24],coqremotebrows:16,coqrunbyteflag:16,coqtail:[50,52,65],coqtest_skipcomplex:16,coqtimelog2html:[16,52],coqtoolsbyteflag:16,coqtop:[16,23,24,25,34,51,52,53,58,65],coqtop_bin:52,coquand:[23,33,76],coqworkmgr:[8,16],coqworkmgr_sock:8,coqxxx:50,coram:74,corbineau:[16,23],core:[3,12,16,23,24,26,28,40,44,50,53,56,58,59,61,64,70],core_scop:[13,70],corecurs:[24,32,70],corn:[23,45,66,76],cornel:23,corner:[16,63],corollari:[16,31],corpu:56,correct:[2,8,9,10,16,23,24,26,27,31,34,45,50,52,56,58,63,65,66,70],correctli:[16,23,28,33,50,51,52,53],correspond:[2,3,8,9,10,12,13,14,16,23,25,26,27,32,33,34,36,41,43,45,50,51,52,53,54,56,57,58,63,65,66,70,71,74],corrupt:[16,23],cos3pi4:16,coscoi:23,cosin:16,cosmo:76,cost:[16,50,59],could:[2,3,4,5,6,10,11,16,23,28,30,33,36,41,45,50,51,54,56,57,59,61,65,70,71,72],couldn:12,count:[12,16,24,50,56,57,58,63,65,66],count_occ:16,count_occ_app:16,count_occ_bound:16,count_occ_elt_eq:16,count_occ_elt_neq:16,count_occ_repeat_eq:16,count_occ_repeat_excl:16,count_occ_repeat_neq:16,count_occ_rev:16,count_occ_sgt:16,count_occ_uniqu:16,countabl:16,counter:[16,61],counterpart:[2,3,9,10,16,26,29,33,56],counterproduct:16,coupl:[10,16,45,52,56,74],courant:23,cours:[2,13,16,23,41,50,51,56,63,70],courtesi:16,courtieu:[16,23],cousineau:23,couterbal:16,covari:13,covariant_ind:13,covariant_rec:13,covariant_rect:13,covariant_sind:13,covariantli:3,cover:[16,43,53,56,64],cp90:[23,33,76],cp:52,cp_phi:10,cpattern:[53,54],cpermut:16,cpow:10,cpp:76,cpu:[16,58],cr_of_q:16,craft:[53,56],craig:76,cran:16,crash:16,crashcoqid:51,creal:16,creat:[3,8,9,12,16,23,24,28,33,37,39,41,50,51,52,53,56,57,58,63,65,66,71,74],creation:[16,23,42,59],credit:[16,23],crelat:3,cring:16,cristal:23,cristina:[23,45,66,76],criteria:[2,16,71],criterion:[16,32,33],critic:[16,23,32,54,58],croap:23,crone:16,cross:[16,23,63,65,70],cryptic:54,cryptograph:23,crzero:16,cs:[16,23],csdp:5,css:[51,74],cst1:16,cst2:16,cst:16,cstop:5,ct95:[66,76],ctan:74,ctcoq:23,ctl:23,ctltctl:23,ctrl:[16,51],ctx:66,ctx_ind:66,ctx_rec:66,ctx_rect:66,ctx_sind:66,cube:76,culmin:23,cumbersom:[43,54],cumul:[11,12,16,23,24,25,28,29,30,33,36,39,70],cumul_univ_decl:[13,33],cup:[16,25,33,50],cur:53,curiou:5,curli:[8,24,43,58,70],current:[2,3,4,5,8,9,11,12,13,16,23,26,27,28,31,33,34,35,36,37,40,41,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,74],curri:[16,23,25,65,76],cursor:[51,65],custom:[2,3,10,12,16,23,24,28,35,52,53,56,58],customiz:16,cut:[13,16,23,24,28,51,56,57,59],cutoff:53,cutrewrit:63,cv:[16,50],cv_infty_cv_0:16,cvc3:16,cvcl:16,cycl:16,cyclic31:16,cyclic:[16,26,63],cyclicaxiom:16,cyprien:16,cyril:[16,28],czajka:16,d0:[66,70],d1:70,d2:70,d:[2,4,5,10,13,16,23,25,33,45,50,51,52,53,56,57,61,66,74,76],d_1:10,d_2:10,d_item:56,d_tactic:56,dabrowski:16,dai:[23,50],daili:54,dalrympl:16,dama:76,dan:[16,23,76],danger:16,daniel:[16,23],dapprich:16,dark:51,darryl:16,dash:74,data:[16,23,26,33,35,38,52,54,56,63,65,76],databas:[3,12,16,24,53,56,61,63],datadir:16,datatyp:[2,16,23,24,25,34,43,45,53,54,56,58,59,66,70],date:[16,23,52],davi:23,david:[16,23,71,76],db72:[25,76],db:[3,16],dc95:[53,76],ddoubl:56,de:[16,23,32,58,76],dea:[23,76],deactiv:[9,16,23,24,26,45,58],dead:[23,63],deal:[3,5,8,12,16,23,24,41,45,56,59,63,70,71],debian:16,debug:[2,5,9,12,13,16,23,24,51,52,56,57,59,61,63,65,71],debugg:[16,23,24],dec:[9,23,45],dec_int_scop:[16,70],dec_uint_scop:[16,70],decad:16,decemb:[16,23,76],decentr:16,decid:[5,8,10,16,23,24,26,28,33,50,52,54,56,59,70],decidableclass:16,decidabletyp:16,decim:[5,16,26,28,58,70],decimalfact:16,decimaln:16,decimalnat:16,decimalpo:16,decimalstr:16,decimalz:16,decis:[2,16,23,24,57,61,63,76],decl_not:[29,33,39,70],declar:[2,4,5,6,7,8,9,10,11,13,16,23,24,25,26,27,28,29,30,31,33,34,35,36,42,45,50,52,53,57,58,59,63,70,71,74],declareunicodecharact:74,decnat:28,decod:16,decompos:[23,56,66],decomposit:56,deconstruct:45,decor:[23,28,41],decoupl:[8,16],decreas:[3,7,9,16,29,33,54,58,71],decrement:[16,53],dedekind:16,dedic:[10,16,23,28,35,54,56],deduc:[5,16,43,50,56,57,66],deduct:[5,23,56],deem:[2,50],deep:[16,23,56,66],deep_tupl:45,deepen:12,deeper:[33,45],def:[25,34,66],def_bodi:[4,31,37,41],def_n:56,default_bindings_src:51,default_go:52,default_with:16,defaultrel:3,defect:[24,54],defend:23,defens:[16,23,43,56],defer:[51,54,56],defin:[2,3,4,5,6,7,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,35,37,38,39,40,41,42,43,45,50,51,52,56,57,58,61,63,65,66,70,71,73,76],defined:3,definin:34,definit:[2,4,8,10,12,16,23,24,25,26,27,28,30,32,34,37,40,41,42,43,50,52,57,58,61,65,66,71,72,73,74,76],definition:[4,11,16,30,31,34,36,63],degener:[39,56],degrad:53,degre:[5,72],del00:[53,76],delahay:[23,76],delai:[13,16,24,39,63],deleg:[8,16,24,28],delet:[16,51,53,56,65],delete_on_error:16,deliber:[30,54],delic:33,delimit:[8,16,32,34,40,43,58,65,70,74],deliv:16,delpath:[16,23],delphin:76,delta:[10,16,23,31,34,36,54,63],delta_reduct:[54,63],demand:56,demonstr:[23,53,66],dempski:16,denomin:[10,16,36,70],denot:[3,4,10,16,23,25,27,28,29,33,34,38,39,41,42,51,53,56,57,66,70],denum:10,dep:50,dep_ret_typ:45,depart:3,departur:54,depend:[2,3,7,8,9,11,12,13,23,24,25,26,27,28,29,31,33,34,35,36,37,39,41,42,43,50,51,53,54,56,59,61,63,65,70,71,76],deplaix:16,deploi:16,deprec:[4,12,16,24,27,28,31,34,37,40,50,54,57,58,59,63,65,70,71],depth:[3,5,12,16,28,53,56,57,58,59,61,63,70,74],der:16,derek:76,deriv:[3,5,9,12,16,23,24,25,26,29,33,37,39,53,63,65,72],derive_plugin:6,desarzen:16,describ:[2,3,4,6,7,8,10,11,12,13,16,23,26,28,30,31,33,34,35,36,38,39,41,42,45,50,51,52,53,54,56,57,58,63,64,65,66,70,71,74],descript:[16,23,24,26,28,30,37,39,41,45,50,52,56,65,66],design:[2,8,10,16,23,24,36,43,56,63,70,76],desir:[9,10,16,33,51,52,53,56,58,72,74],desktop:16,desmettr:[16,23],despit:[35,56],dest:[4,16],destauto:66,destdir:[16,52],destko:16,destroi:54,destruct:[2,12,16,23,24,53,54,56,57,63,70],destruct_bool_and_rewrit:53,destruct_with_eqn:70,destructor:[24,29,30,36],destructur:[16,23,24,31,39],destructuring_let:[31,45],desugar:36,detach:[16,51],detail:[3,5,7,13,24,26,30,35,36,40,41,50,51,54,56,57,63,65,70,71,73,74],detect:[5,8,16,24,40,43,51,52,56,65],determin:[4,12,16,30,33,35,39,40,42,51,52,53,56,57,63,65,66,70,71,74],determinist:16,dev:[16,23,50,52,70],develop:[2,3,8,11,12,13,16,23,24,26,31,34,41,43,50,51,52,53,54,56,57,58,59,63,65,66,70,73,76],devis:16,devot:[51,56],df:[12,16,59],dfrac:5,di:[53,76],diagnos:13,diagnost:70,diagon:33,diagram:10,dialect:16,dialog:[16,51,64],dialogu:54,did:[8,10,16,25,28,56,57,58,65,66],didn:[3,16,52],diff2:76,diff:[16,23,24,50,52,53],diff_failur:16,differ:[3,4,9,10,12,13,14,16,23,24,25,26,28,30,33,34,36,37,40,42,45,50,51,52,53,54,56,57,58,59,61,63,66,70,71,72,74,76],difficult:[10,28,54,71],difficulti:52,digit:[16,23,26,28,43,50,51,70],dimens:16,dintuit:[16,61,70],dir:[16,50,52,74],direct:[2,9,11,15,16,23,30,33,41,45,51,52,56,57,58,70],directli:[2,3,4,9,12,13,16,23,26,33,42,50,51,52,54,56,57,58,59,63,66,71,74],directori:[2,16,23,26,34,50,51,52,58,59,70,74],dirpath:[34,50,58],disabl:[2,8,9,11,13,16,24,31,33,34,36,43,50,51,53,56,57,58,63,65],disallow:[11,13,16,36,50],disambigu:[16,43,56,70],disappear:[2,16,23,33,54,59,66,70],discard:[13,16,51,53,54,57,63,74],discharg:[3,13,16,23,24,27,37,71],disciplin:[16,23,25],discontinu:16,discourag:[16,28,31,34,52,53,54,57,58,59,65],discours:[16,51],discov:[16,52],discoveri:23,discrep:[16,56],discret:5,discrimin:[12,16,23,53,56,57,58,59,61,63,65,66],discrimine:[11,45],discrr:[23,26],discuss:[3,16,23,24,53],disembodi:41,disequ:[9,59],disj:[16,70],disjoint:26,disjunct:[16,24,33,56,57,58,59,66,70],disk:[50,51,52,65],dismiss:66,dispatch:54,displai:[2,9,11,13,15,16,24,36,40,41,45,50,52,53,54,56,57,59,63,65],dispos:56,disregard:41,distanc:23,distinct:[9,12,16,25,33,41,43,45,52,53,54,56,59,63,70],distinguish:[13,16,23,25,33,36,56,63,70],distr:2,distribut:[10,16,23,24,49,72,74],disus:16,div0:[16,58],div2:[9,16,71],div2_equ:71,div2_ind:71,div2_l:71,div2_obligation_1:9,div2_obligation_2:9,div2_obligation_3:9,div2_obligation_6:9,div3:9,div:[2,3,5,10,16,26,58],div_exact:58,div_mod:16,div_mod_to_equ:[5,16],div_theori:10,div_zdiv:16,diveucl:2,divex:2,divid:[5,14,16,23,57],divide_gcd_iff:16,divide_to_equ:5,divis:[3,10,16,23,24,56],divisor:[7,16],dj:56,dm82:[54,76],dmitri:16,do_depind:66,do_makefil:23,doc:[16,23,50,52,62,70,73,76],doc_grammar:16,docdir:[16,52],docgram:70,docker:16,docroot:[16,52],doctor:23,doctorat:76,document:[3,8,9,10,11,15,16,23,24,26,41,50,51,53,54,56,58,63,64,65,66,70,71,73,75],doczkal:16,doe:[2,3,4,5,8,9,11,12,13,16,23,24,25,26,28,29,33,34,35,36,37,38,40,41,43,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,74],doesn:[4,13,16,26,28,30,34,45,50,51,52,53,54,56,57,58,61,65,66,70,72],doi:76,doligez:23,dom:70,domain:[3,5,10,13,16,23,24,25,33,41,60,63,70],domin:74,dominiqu:16,don:[4,12,13,16,27,33,34,36,45,51,52,53,56,57,59,61,63,65],done:[2,3,5,6,7,8,9,10,12,16,23,26,28,29,31,33,34,35,37,39,41,42,45,51,52,53,54,56,57,58,59,63,65,66,70,71,74],dont:[16,58],dorel:16,dot:[10,13,16,23,34,36,51,58,70],doubl:[16,23,26,28,33,43,51,52,53,56,58,70,74],double_var:16,doublen:56,dowek:23,down:[3,13,23,24,44,50,51,53,54,56,58],download:[16,26,52,76],dozen:63,dp:[2,16],drag:23,dramat:63,draw:23,drawback:[9,16,66,70],dreyer:76,drive:63,driven:[23,59],driver:5,drop:[3,16,50,53,58,70],dstroot:16,dt:59,dtauto:[16,61],dual:[3,9,23,54],dualli:[3,43,56],dudenhefn:16,due:[2,3,12,13,16,23,26,29,33,45,51,53,54,58,63,65,66,70,71,72],dummi:[2,13,16,23,54,76],dummy_ind:13,dummy_rec:13,dummy_rect:13,dummy_sind:13,dump:[5,16,23,50,74],dumpbox:16,dumpgraph:16,dune:[16,24,50,58],dup:[16,56],duplic:[3,10,16,42,56,66,70],duprat:23,durat:50,dure:[2,9,10,12,13,16,23,36,41,45,50,52,53,54,56,57,59,63,65,66,70,71],duti:54,dvdn1:56,dvdn_mull:56,dvdn_mulr:56,dvdn_subr:56,dvdn_tran:56,dvi:74,dx:76,dyc92:[53,61,76],dyckhoff:[23,53,61,76],dynam:[2,10,12,16,24,35,50,58,70],dynlink:[16,58],e0:[41,45,71],e1:[16,41,45,56],e2:[16,41,45],e:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],e_1:[5,34],e_2:[5,34],e_:[16,34],e_i:34,e_n:34,e_type_of:16,ea:12,each:[2,3,5,8,9,10,12,13,16,23,25,26,28,29,33,34,35,36,37,38,39,41,42,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,71,74],eager:16,eagerli:54,eappli:[16,53,57,59,65,66],earli:[2,14,24,25,53,63],earlier:[8,16,52,53],eas:[12,16,36,52,54,56,57,65],easi:[7,10,12,16,26,45,51,52,59,66],easier:[2,16,23,44,51,56,57,66,70],easiest:52,easili:[12,16,52,56,71],eassert:[16,42,57],eassumpt:[16,42,57,59],eauto:[16,24,42,53,56,59],eb:12,ecas:[16,42,57,66],echo:52,econom:[23,76],econstructor:[16,42,66],ecosystem:[24,72,76],ed:[16,23],edestruct:[16,42,57,66],edg:[16,51],edinburgh:23,ediscrimin:[16,42,66],edit:[16,23,24,28,50,52,56,65,70],editor:[16,51,52,76],eduardo:23,edward:16,eelco:76,eeli:16,eelim:[16,42,66],eenough:[16,42,57],eexact:[16,42,57],eexist:[16,42,65,66],effect:[2,9,10,12,13,16,23,24,28,29,33,34,37,42,50,51,52,53,56,58,63,65,70,74],effici:[2,10,11,12,16,24,28,35,56,59,63,76],effort:[12,16,23,62,73],eg:[16,52],ei:56,eight:33,einduct:[16,42,57,66],einject:[16,42,66],eintro:[42,57],either:[2,5,8,10,13,16,25,27,28,30,33,34,35,36,38,39,40,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,73,74],ej:56,el:76,elabor:[12,13,16,24,26,32,36,40,43,44,50,54,57],elaps:53,elast:23,elect:[24,49],electron:[23,76],eleft:[16,42,66],eleg:[2,54,58],elegantli:57,element:[2,3,10,11,16,24,25,26,33,34,35,45,56,58,59,70],elementari:[24,26,56,57,70],elements1:70,elements2:70,elid:56,elim:[5,16,23,24,53,57,66],elim_let:16,elimin:[11,12,13,16,23,24,25,26,29,30,33,34,36,39,53,54,57,66,70,71,76],elimtyp:16,elpi:[16,62],elrod:16,els:[2,4,9,10,11,12,16,28,29,34,36,39,40,45,51,53,54,56,61,66,70,74],elsevi:76,elsewher:[9,16,51,58,70],elt:5,elt_eq_unit:16,emac:[16,50,51,58,65],email:51,emb:[16,23,70],embed:[23,24,28,70],emerg:23,emilio:16,emit:[2,11,12,16,33,52,70,73],emmanuel:23,emp:59,emphas:45,emphasi:24,emploi:[16,41],empti:[2,3,5,7,11,12,16,23,25,33,39,42,50,52,54,56,57,58,59,66,70,71],empty_context:16,empty_neutr:3,empty_set:[16,39,61,70],emptyf:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],emul:[2,11,16,39,56],en:[23,56,63,76],enabl:[4,7,8,9,10,11,13,16,24,33,36,41,50,51,52,53,56,57,58,59,66,74],enable_notation_flag:70,encapsul:56,enclos:[2,28,40,52,53,54,65,70,74],encod:[3,12,16,23,24,26,33,52,70,74],encount:[2,10,16,51,52,53,63],encourag:[16,45,52,53,54],end:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],enforc:[9,11,13,16,25,31,33,43,54,56,57,65,70],engin:[12,16,23,32,42,54,56,57,63,76],english:16,enhanc:[2,16,51,56],enjoi:[30,33,36,56],enough:[10,13,16,33,43,56,57,66,70],enrich:[5,16,23,25,26,66],enrico:[8,16,41,56,76],ensur:[2,12,13,16,23,26,29,33,38,51,54,58,63,71],ensuremath:74,enter:[8,16,24,29,31,33,37,43,45,51,53,54,58,59,70],entier:16,entir:[12,16,23,24,30,32,33,40,43,51,52,56,59,63,65,70],entri:[16,23,24,27,28,36,50,51,52,53,54,66],enumer:[5,16,33,39],enviro:[16,58],environ:[3,8,9,10,11,12,13,16,23,24,25,27,29,30,31,33,34,37,41,42,51,52,54,56,59,61,63,65,66,70,71,74],envr:5,ep:59,epos:[16,42,57],epsilon:[16,59],epsilon_smallest:16,eq0:3,eq0_le0:43,eq:[3,5,10,13,16,26,34,39,41,53,56,57,58,63,66,70],eq_:26,eq_add_:26,eq_adda_b:56,eq_adda_c:56,eq_big:[16,56],eq_big_:56,eq_bigr:56,eq_bigr_:56,eq_bool:12,eq_class:41,eq_dec:16,eq_ex2:16,eq_ex2_hprop:16,eq_ex2_uncurri:16,eq_ex:16,eq_ex_hprop:16,eq_ex_intro2:16,eq_ex_intro2_hprop:16,eq_ex_intro2_uncurri:16,eq_ex_intro:16,eq_ex_intro_hprop:16,eq_ex_intro_uncurri:16,eq_ex_uncurri:16,eq_ind:[13,26,39],eq_ind_r:[10,26],eq_izr_contraposit:16,eq_map:56,eq_nat:[23,41],eq_nat_dec:16,eq_nat_equiv:41,eq_pattern:16,eq_rec:[13,26,33,39],eq_rec_r:26,eq_rect:[13,16,26,33,39,66],eq_rect_r:[16,26],eq_refl:[5,9,10,11,12,13,16,26,39,56,63,65,66,70],eq_reflex:58,eq_rel:3,eq_rel_reflex:3,eq_rel_rel:3,eq_rel_symmetr:3,eq_rel_transit:3,eq_set:3,eq_set_refl:3,eq_set_rel:3,eq_set_rel_reflex:3,eq_set_rel_rel:3,eq_set_rel_symmetr:3,eq_set_rel_transit:3,eq_set_sym:3,eq_set_tran:3,eq_sig:[16,66],eq_sigt_rect:16,eq_sind:[13,26,39],eq_sym:[26,39,43],eq_symmetr:58,eq_tran:[26,58],eq_trans_assoc:58,eq_tru:16,eq_true_is_tru:11,eqa:[3,12],eqab:56,eqac:56,eqb0:56,eqb:[3,5,12,16,26,35,58],eqb_correct:35,eqb_leibniz:12,eqb_sym:58,eqba:56,eqblr:16,eqbrl:16,eqca:56,eqd0:56,eqdec:[12,37,59],eqdec_def:12,eqdep:16,eqdep_dec:[16,66],eqlista:16,eqn:[16,39,54,56,57,66,70],eqn_mul1:56,eqnarrai:33,eqnat:[16,25,41],eqnot:16,eqo:3,eqp:56,eqst:29,eqst_hd:29,eqst_tl:29,eqt:[16,45],eqt_ind:45,eqt_rec:45,eqt_rect:45,eqt_sind:45,equal:[3,5,8,10,11,12,13,16,23,24,25,29,30,31,33,34,35,38,39,41,43,45,51,53,54,56,57,59,60,64,70,71,76],equalitiesfact:16,equality_intropattern:57,equat:[5,6,13,16,23,24,26,33,39,41,45,52,54,57,59,60,63,66,71],equations_plugin:52,equiconsist:33,equip:[3,4,16,23,26,35,41,63],equiv:[5,33,38],equival:[3,9,10,11,12,13,16,23,24,25,26,27,28,31,33,34,36,37,40,41,45,50,51,52,53,54,58,59,61,63,65,66,70,74],equivalence_class:63,equivalence_reflex:[3,58],equivalence_symmetr:[3,58],equivalence_transit:3,equivlista:16,eras:[16,43,56,57,66,74],erasur:[57,66],erbsen:16,erememb:[16,42,57],erewrit:[16,42,63],ergo:16,eright:[16,42,66],erik:16,erika:16,err:[41,54],erron:16,error:[2,3,4,9,10,11,12,13,15,16,23,24,26,27,28,31,33,34,36,37,38,39,40,41,43,45,50,51,52,56,57,58,59,61,63,65,66,70,71,74],esc:16,escap:[11,16,24,50,52,70],eset:[16,42,57],eshkeev:16,esimplifi:66,esimplify_eq:[16,42],especi:[7,14,16,23,25,33,43,45,53,54,56,59,61,63,70],esplit:[16,42,66],essai:76,essenti:[2,16,24,33,54,56,66,70],establish:[3,16,56],estim:73,et:[3,23,76],eta:[12,16,30,36],etc:[2,4,9,13,16,23,24,25,26,32,34,41,43,44,50,51,52,53,54,56,58,70,74],etcdir:16,eth:16,ethan:16,etransit:[3,16,42,63],eucl_dev:2,euclid:[2,16,23],euclid_intro:16,euclid_rec:16,euclidean:[10,16,23,24,56],euclidean_division_equations_cleanup:[5,16],euclidean_division_equations_find_duplicate_quoti:5,euclidean_division_equations_flag:16,eugen:76,european:[23,76],ev:57,eval:[3,5,11,13,16,23,24,26,28,29,30,31,34,36,41,51,52,54,58],eval_bf:5,eval_earli:53,evalu:[2,3,9,10,16,23,24,27,29,33,34,40,52,56,59,63,70],evar:[16,23,53,54,56,57,58,63],evarconv:16,evarmap:16,even:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],even_0:33,even_:33,even_alt:16,even_alt_even:16,even_ind:[33,66],even_o:33,even_odd:66,even_odd_ind:16,even_sind:[33,66],even_ss:33,eveno:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],event:[2,16,50],event_oddt_dec:16,event_oddt_rect:16,eventu:[5,16,33,41,42,51,53,54,56,57,59,65],ever:[16,51,54,56,66,70],everi:[3,8,9,10,11,12,13,16,27,28,33,39,50,51,53,54,56,57,63,70],everybodi:16,everyth:[2,16,51,52],everywher:[2,16,54,57,63],evgeni:[5,16],evgenii:16,evolut:[16,76],evolv:[16,23,36,51,53],ex1:54,ex2:[16,23,26,54,66],ex2_ind:26,ex2_sind:26,ex:[3,16,23,26,43,57,66,70],ex_ind:26,ex_intro2:26,ex_intro:[26,36,40,56,59,65],ex_sind:26,exact:[3,11,13,16,23,24,34,39,42,52,53,54,57,58,59,63,65,66,70],exact_no_check:[57,65],exactli:[4,8,10,12,16,25,26,33,39,41,43,45,50,51,53,54,56,58,65,66,70],exactly_onc:24,examin:[45,51,53,65,66,70],exampl:[7,8,9,12,23,24,31,35,44],example_lra:5,example_map:56,exc:[23,26],exce:[58,66],excel:16,except:[2,3,4,10,11,12,13,16,23,24,25,26,28,30,33,34,35,37,39,42,50,51,52,53,56,57,58,59,63,65,66,70,74],exception:[16,23,63],excerpt:35,excess:23,exchang:[23,51,65],exclud:[16,33,40,50,52,53,54,56,58],exclus:[28,56],execut:[6,8,16,23,24,28,35,50,51,54,56,58,63,65,66,70],exempl:23,exfalso:[16,57],exhaust:[16,28,45,52,53,54,58],exhibit:5,exist2:26,exist:[3,4,5,9,10,12,13,16,24,25,26,27,28,30,31,33,35,36,38,40,41,45,50,51,52,53,54,56,57,58,59,62,63,65,66,70],existenti:[3,6,9,12,16,23,24,25,33,40,44,53,57,58,59,63,65,66],exists2:[16,26,28,56],exists_app:16,exists_concat:16,exists_differ:70,exists_flat_map:16,exists_fold_right:16,exists_foral:16,exists_map:16,exists_non_nul:70,exists_nth:16,exists_or:16,exists_or_inv:16,exists_rev:16,existt2:26,existt:[16,26,66,70],exit:[8,16,24,29,31,33,37,50,51,53,58,59,74],exn:54,exp:56,exp_ineq1:16,exp_ineq1_l:16,exp_intro:33,expand:[2,12,13,16,27,28,29,30,34,36,40,45,51,53,54,56,57,63,66,70],expans:[11,12,16,24,33,52,54,56,63,70],expect:[2,3,4,10,11,13,16,23,25,28,30,31,32,33,39,40,41,42,43,45,50,51,53,54,56,57,59,63,66,70],expens:[12,16,53,65],experi:[16,23,50,76],experienc:65,experiment:[5,11,13,16,23,50,52,53,54,61,62,65,66,70,71],expert:52,expir:23,explain:[8,16,23,28,41,50,51,56,59,70,71,73],explan:[3,12,36,44,50,57,58,66],explicit:[9,12,16,23,24,27,33,36,38,40,45,54,57,59,63,65,66,70],explicit_id:70,explicit_subentri:70,explicitli:[2,4,11,12,13,16,23,26,27,28,33,37,38,42,45,50,51,52,54,56,57,58,59,63,65,66,70,73],exploit:[3,16,23,56,66],explor:[5,16,58],explos:16,expn:56,expon:[10,16,28,70],exponenti:[5,16,28],expos:[16,24,39,40,56,70],exposit:16,expr1:53,expr:[16,53,54,70],expr_0:16,expr_1:16,expr_i:16,expr_ind:70,expr_n:16,expr_rec:70,expr_rect:70,expr_sind:70,express:[3,4,5,9,10,16,23,24,25,26,27,28,29,30,31,33,34,38,39,40,42,43,56,57,58,59,63,65,66,74],exprop:33,exprop_ind:33,exprop_sind:33,expung:23,exs_intro:33,exset:[25,33],ext2:[16,23],ext4:50,ext:[16,23,33],ext_intro:33,extend:[3,4,5,9,10,13,16,23,24,25,26,27,28,31,33,34,36,39,40,41,44,50,51,52,54,58,59,61,70,76],extens:[6,9,10,11,13,16,24,25,28,31,40,41,51,52,58,61,62],extension:[11,16,26,29,56],extent:[16,70],extern:[5,10,12,16,28,32,51,53,54,58,59,62,65,72,73,74],extgcd:16,extocamlnativestr:16,extra:[8,16,23,24,29,33,40,41,45,52,53,56,61,63,65,70,74],extra_scop:16,extract:[9,24,25,26,28,33,35,52,56,58,70,71,72,76],extraction2002:76,extraction_plugin:[2,9,33,56,71],extractor:[16,23],extran:[16,51],extrem:[16,28,56],extrhaskellbas:16,extrhaskellstr:16,extrocaml:16,extrocamlbigintconv:16,extrocamlfloat:35,extrocamlint63:[16,35],extrocamlintconv:2,extrocamlnatbigint:16,extrocamlnativestr:16,extrocamlparrai:35,extrocamlstr:16,extrocamlzbigint:16,extyp:33,extype_ind:33,extype_rec:33,extype_rect:33,extype_sind:33,f0:[33,56,66],f10:51,f11:51,f1:[12,16,40,50,51,56,70],f2:[16,40,50,54,56],f4:51,f8:51,f9:51,f:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],f_1:[10,33],f_1_neq_0:10,f_2:[10,33],f_:23,f_equal2:26,f_equal2_plu:58,f_equal3:26,f_equal4:26,f_equal5:26,f_equal:[16,26],f_equalx:16,f_ext:26,f_i:33,f_ind:57,f_inj:33,f_j:33,f_k:33,f_l:33,f_n:33,f_r:10,f_rec:57,f_rect:57,f_scope:70,f_sind:57,fabian:16,face:[3,16,74],facil:[12,16,23,51,54,56,58],facilit:[16,50,56],fact:[2,5,10,13,16,23,27,31,33,38,40,41,45,53,54,56,57,61,63,65,66,70,74],factor:[2,5,10,16,24,33,44],factori:[16,23,53,54,63],factoriz:[16,45],fail:[2,3,4,5,8,9,11,12,13,16,23,24,25,28,29,33,34,39,40,41,42,43,51,52,54,57,58,59,61,63,65,66,70,71,74],failur:[3,8,12,13,16,23,24,45,52,54,56,58,59,61,63,70,76],fairli:[16,56],faithful:16,faithfulli:12,fake:59,fall:[3,9,12,23,52,57],fals:[2,4,5,9,11,12,16,23,26,33,36,39,40,42,45,50,53,54,56,57,58,61,63,65,66,70],false_rec:26,false_rect:45,falsiti:53,falso:[16,57],famili:[4,13,16,23,24,33,39,53,54,62,66,70],faq:16,far:[10,23,45,51,56,65,70],farka:16,farzon:16,fashion:[16,23,50],fast:[3,16,23,24,52],fast_:16,fast_integ:16,faster:[8,10,16,23,50,57,58,61,63],fastest:52,fatal:[16,24,56],fault:[2,23,70],favor:[16,40,50],fcomp:40,fct:4,fct_of_incr_fct:4,fd:33,fdiv_def:10,fear:32,featur:[2,3,8,10,16,23,24,28,31,32,34,35,43,45,50,51,52,54,56,58,65,70,71,72,73,75],feb:23,februari:[16,23],fed:[9,16,54],feed:59,feedback:[8,16],feel:51,feferman:23,fehrl:16,fei:76,felti:23,feq:26,fermat:51,fernandez:16,fernando:16,fetch:65,few:[3,16,23,26,28,33,34,35,36,50,51,52,54,56,57,70,72,74],fewer:[16,50,57,63,65],ff:5,ffi:[16,54],fg:4,fgt:26,fi:12,field:[4,5,7,11,12,13,16,23,24,26,41,50,52,54,58,60],field_mod:10,field_simplifi:16,field_simplify_eq:16,field_spec:36,field_theori:10,field_val:[12,36],fieldnam:36,fifth:16,figur:[51,56],file1:[51,52],file2:[51,52],file:[2,3,5,6,7,8,9,10,16,23,24,26,28,33,34,35,40,41,42,53,54,56,57,59,63,65,70,71,72,75],filen:51,filenam:[13,16,24,50,51,58,63,74],filesystem:[52,58],fill:[2,9,12,16,24,51,54,56,61,70],filliatr:[23,76],filter:[16,29,50,52,58,59],filter_2_4:45,filter_app:16,filter_length:16,filter_length_forallb:16,filter_length_l:16,filter_some_square_corn:45,filtered_import:[16,34,58],filteropt:50,fin:[16,70],fin_scop:70,find:[2,3,4,5,7,10,13,15,16,24,26,28,33,41,42,50,51,52,53,56,57,58,61,63,65,66,70,71,76],find_duplicate_quoti:16,findlib:[16,52,58],fine:[16,40,50,51,56,63],finer:[2,16,33,56],finfun:16,finish:[8,12,16,28,45,53,59,63,65,66],finish_tim:[16,53],finit:[3,5,16,23,26,29,33],finite_alt:16,finite_dec:16,finv_l:10,fire:[2,13,16],firefox:51,first:[2,4,5,6,8,9,10,12,13,14,16,23,24,25,26,34,36,37,39,40,41,42,43,50,51,52,54,57,58,59,61,63,64,65,66,70,71,73,74,76],first_lett:28,firstn:16,firstord:[16,28,61],fit:[13,16,28,33,51,54,56,70],five:[16,26,63],fix:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],fix_decl:[33,56],fix_definit:[33,37,71],fix_eq:[16,26],fix_f:26,fix_f_eq:26,fix_f_inv:[16,26],fixabl:16,fixannot:[9,33,71],fixpoint:[2,3,12,16,23,24,26,28,29,30,31,36,37,40,43,45,51,56,58,63,65,66,70,71],fk:56,flag:[2,4,5,8,9,11,12,13,15,23,24,26,31,33,34,36,39,40,42,43,45,50,51,52,53,54,56,57,59,61,63,65,66,70],flagship:24,flambda:16,flat_map:[16,23,26],flat_map_app:16,flat_map_constant_length:16,flat_map_ext:16,flat_map_length:16,flatten:16,flavor:[16,36,70],fledg:16,flexibl:[13,16,57,63],flh:5,flip:[3,16],float64:35,float64_mul:35,float64_typ:35,float_class:26,float_comparison:26,float_scop:[26,35],floataxiom:16,floatlemma:16,floatop:[16,35],flocq:26,floor:16,florent:16,florin:16,flow:24,flt:26,fly:[16,54,56],fm:12,fmap:[16,59],fmapavl:16,fmapfullavl:16,fmapintmap:16,fn:50,fnotcompar:26,fo:2,focu:[16,23,33,42,53,54,56,65],focus:[6,16,24,42,54,56,57,58],fof:13,fold:[3,16,36,56],fold_left:[16,26],fold_left_rev_right:16,fold_right:[16,26],fold_right_shiftin:16,foldabl:16,folder:[16,52],follow:[2,3,4,5,6,8,9,10,11,12,13,16,23,24,25,26,27,28,29,32,33,34,35,36,37,39,40,41,42,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],fondamental:76,font:[16,51,52,74],foo0:[52,54],foo1:52,foo:[2,10,13,16,28,34,37,39,42,50,51,52,54,56,57,58,63,65,70,73,74],foo_ind:[11,16,56],foo_rec:16,foo_rect:16,foo_sind:11,foo_subproof:37,foobar:13,foolib:16,footnot:[10,56,70],footprint:16,fop:5,for_all2:16,for_each_go:[53,54,70],foral:[2,3,4,5,6,7,9,10,11,12,13,16,24,25,26,28,29,30,31,33,35,36,40,41,42,43,45,51,53,54,56,57,58,59,61,63,65,66,70,71,74],forall2:16,forall2_append:16,forall2_cons_iff:16,forall2_flip:16,forall2_impl:16,forall2_length:16,forall2_nil:16,forall2_nth:16,forall2_nth_ord:16,forall2_refl:16,forall_and:16,forall_and_inv:16,forall_app:16,forall_append:16,forall_concat:16,forall_cons_iff:16,forall_elt:16,forall_eq_repeat:16,forall_exists_exists_forall2:16,forall_flat_map:16,forall_fold_right:16,forall_foral:16,forall_imag:16,forall_impl:16,forall_map:16,forall_nil_iff:16,forall_nth:16,forall_nth_ord:16,forall_rev:16,forall_shiftin:16,forallb_filt:16,forallb_filter_id:16,forbid:39,forbidden:[11,16,23,24],forc:[4,8,10,16,23,33,41,43,51,52,53,56,59,63,65,66,70],force2:70,ford:16,foreground:65,forese:23,forest:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],forest_ind:[33,66,71],forest_rec:[33,66,71],forest_rect:[33,66,71],forest_s:[33,71],forest_sind:[33,66,71],forest_size_equ:71,forest_size_ind2:71,forest_size_ind:71,forest_size_rec:71,forest_size_rect:71,forest_tree_ind:66,forest_tree_rec:66,forest_tree_rect:66,forg:50,forget:[4,10,36,54,58,59,66],forgot:[31,70],forgotten:4,fork:16,form:[2,3,4,5,6,7,9,10,12,16,23,24,25,26,27,28,29,30,31,34,36,37,38,39,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,74],formal:[4,6,16,23,24,25,28,30,31,33,36,38,40,50,54,56,66,76],formalis:[23,56,76],format:[13,16,23,25,26,34,36,41,50,51,52,56,70,74],formatt:58,formel:23,former:[16,28,29,56,74],formerli:16,formul:[16,41],formula:[5,7,25,56,57,61,76],forster:16,forth:[24,49,56],forthcom:16,forum:16,forward:[16,23,51,52,56,61,65],found:[2,4,5,9,10,12,16,24,28,29,33,34,35,38,41,45,50,53,54,56,57,58,61,63,66,70,71,74],foundat:[16,23,28,53,56,76],founded:23,founifi:2,four:[8,16,24,33,53,54,56,70],fourier:[16,23],fourth:[16,53,56],fr:[16,23,24,26,52,74,76],frac:[16,25,30,33,34,37],fraction:[7,10,16,23,26,28,36,56,70],fragil:[16,54,56,58,59,62,65],fragment:[54,56,70],frame:[16,51],framework:[2,16,23],franc:[23,76],francoi:16,frank:76,free:[10,16,23,25,33,43,51,53,54,56,57,61,63,70,74,76],freedom:16,freek:23,freeli:[13,56],freez:12,frege:23,freiburg:76,french:16,frequenc:16,frequent:[10,16,24,52,56,65,66,70],fresh:[3,13,16,23,24,30,33,52,56,57,63,65,66,70],freshid:16,freshnamespac:39,freund:23,frexp:16,frexp_spec:16,frh:5,friendli:[16,23,51],frii:16,fring:16,from:[2,3,4,5,6,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,33,35,36,37,38,39,40,41,42,45,50,51,52,53,56,57,58,59,61,63,65,66,70,71,72,74,76],front:[56,58],frozen:23,frshiftexp:26,fs:[2,70],fset:[16,26,59],fsetavl:16,fsetdecid:16,fsetfullavl:16,fsetinterfac:16,fsetproperti:16,fst:[16,23,26,34,41,45,70],fta:23,ftorradix:8,ftp:76,fubar:56,fulfil:[2,16,66],full:[12,13,16,23,24,29,33,42,45,51,56,57,63,65,70,76],fuller:23,fullfil:16,fullgrammar:70,fulli:[2,3,8,16,23,25,27,30,31,34,43,50,51,52,53,54,57,58,63,65,70,71],fun:[2,3,4,5,6,9,10,11,12,13,16,24,25,26,28,29,30,31,33,34,36,37,39,40,41,42,43,45,53,54,56,57,58,63,65,66,70,71,74],fun_scop:16,funapp:70,func_scheme_def:71,funclass:[4,16,40,70],functin:16,function_scop:[13,16,24,33,45,56,66],functions_in_zfc:23,functor:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],functor_app_annot:34,functori:16,fund:16,fundament:[16,23,30,56],funext_down:13,funext_typ:13,funind:[16,56,58,71],funind_plugin:[56,71],further:[3,8,16,26,29,34,40,50,51,53,54,56,63,65,66,70],furthermor:[16,23,24,25,28,30,32,33,50,51,54,56,65],futur:[4,9,12,13,16,31,40,50,51,52,56,61,65,70,76],fuzz:16,fv:10,g0:[59,66],g1:59,g2:59,g:[3,4,5,8,9,12,13,16,23,26,27,28,29,30,33,34,35,40,42,43,45,51,52,53,54,56,57,58,59,61,63,65,66,70,74,76],g_1:56,g_:56,g_equat:52,g_i:33,g_n:56,ga:76,gabriel:16,gadt:2,gain:[16,23],gallego:16,gallina:[10,16,24,26,40,65,74],gamma:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],gan:16,gap:56,gappa:16,garbag:[16,74],gariano:16,garillot:16,garrigu:16,gather:[16,23,26,54,56,57],gave:[16,23,57],gc:[16,65],gcd:[16,58],gcd_comm:58,gcd_mul_diag_l:16,gcd_uniqu:16,gcd_unique_alt:16,gcst19:[11,38,76],gdk_use_xft:51,ge:[5,16,26],gear:[8,51],geb:5,geb_g:16,gen:56,gen_constant_modul:16,gen_item:56,gen_x:66,genarg:51,gener:[5,7,8,9,11,12,15,16,23,24,26,27,29,30,31,33,34,35,36,37,38,39,42,45,50,51,52,57,58,59,60,61,63,65,74,76],generalis:56,generaliz:[12,16,43],generalize_eq:66,generalize_eqs_var:66,generalizing_bind:[27,43],generer:16,genericminmax:16,geometri:[7,23],geoproof:16,georg:[16,56,76],georgian:28,germani:76,get:[2,5,8,9,10,12,13,16,23,24,27,28,33,35,37,41,50,51,52,54,57,58,59,63,65,66],get_current_context:16,get_set_oth:35,get_set_sam:35,get_sign:10,gett:36,getter:16,geuver:23,gexpn0:56,gexpn1:56,gexpn_add:56,gfail:[16,53,59],ghc:16,giana:16,gianfranco:76,giarrusso:16,gift:[23,76],gilbert:[16,76],gill:[23,71],gimenez94:[33,76],gimenez95:[29,76],gimenez98:[29,76],gimenezcasteran05:[29,76],gintuit:61,giovini:76,girard:[23,76],gist:16,git:52,github:[2,5,16,50,51],gitter:16,give:[2,3,4,5,7,8,9,10,12,13,16,23,24,25,26,27,28,30,31,33,34,36,39,40,41,44,45,50,51,52,53,54,56,57,58,63,65,66,70,74],give_up:16,given:[2,3,4,5,9,10,12,13,16,23,24,26,27,28,31,34,36,39,40,41,42,43,45,50,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],glanc:56,glob:[16,23,50,74],glob_constr:54,glob_term:16,global:[2,3,4,8,9,12,16,23,24,25,27,28,30,31,33,34,36,37,38,40,41,43,50,52,54,56,57,58,59,61,63,65,66,74],globalis:23,globfil:52,glondu:16,gloss:36,glossari:[15,16,24,28],glt89:[65,76],glu:3,gmatch_hyp_pattern:54,gmatch_pattern:54,gmatch_rul:54,gmn:[7,76],gmp:16,gnu:[16,50,52],go:[2,5,8,9,16,23,29,41,51,53,54,56,58,59,63,66,70,74],goal0:[42,57,65],goal:[3,6,7,8,9,11,12,13,16,23,24,26,28,30,33,34,35,36,37,41,42,43,51,52,58,59,60,61,63,70,71,73],goal_match_list:54,goal_occurr:57,goal_pattern:53,goal_tact:53,goe:[16,52,54,58,65],goir:76,gone:16,gonthier:[16,56,76],good:[8,10,16,52,53,54,56,65],googl:[50,52],got:[16,33,66],gothenburg:76,gothic:28,gotten:51,goubault:23,govern:[16,40,43,51,66],gr:76,grab:16,gradual:[16,57],grai:[28,51],grain:[2,16,40],grammar:[16,24,27,28,53,54,56,57,61,70],grant:16,granular:[51,54],graph:[2,13,16,23,24,38,53,71],graphic:[16,24,28,50,51],graphviz:[13,16],grasp:56,grate:16,grayson:16,great:[30,63],greater:[13,16,23,33,51,70],greatli:[16,23],greek:[16,28,74],green:[16,28,51,65],greg:16,gregersen:16,gregoirel02:[63,76],gregori:16,grep:58,grinberg:16,groebner:16,groot:76,gross:16,ground:[13,16,53,61,70,74],group:[2,4,16,23,36,41,51,52,53,56,57],grow:[23,53,54,58],growth:54,gruetter:16,gruin:16,grundlagen:23,gt:[16,26,41],gt_wf_rec:2,gt_wf_rect:16,gtb:5,gtb_gt:16,gtk2:16,gtk3:16,gtk:[16,51],gtk_accel_path:51,gtk_csd:16,gtk_theme:51,gtksourceview:[16,51],guarante:[4,13,16,50,51,52,54],guard:[16,23,24,26,29,31,33,40,43,45,56,58,63,65,66,70,71,76],guarded:[9,65],guess:[2,4,10,16,31,42,52,56,66],gui:[23,51,75],guid:23,guidelin:16,guillaum:16,gulp:65,gv:[13,16],gwhy:16,gyesik:76,gz:[50,52],gzip:52,gznd11:[41,76],h0:[53,54,56,57,61,63,65,66],h1:[10,16,33,42,53,54,56,57,61,65,66],h23:56,h2:[16,33,42,53,54,56,57,66],h2_0:66,h2_:66,h3:[57,66],h:[3,4,6,9,10,11,12,13,16,23,26,33,39,43,45,50,53,54,56,57,61,63,65,66,71,74,76],ha:[2,3,4,5,6,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71,72,73],haan:16,had:[9,12,16,23,41,52,53,54,65],hal:76,half:[16,23,36,65],hallberg:16,hand:[3,11,12,16,24,26,28,32,34,51,52,53,54,56,57,63,66,70,71],handi:[16,70],handl:[2,3,8,9,10,16,23,25,36,42,45,52,54,56,57,58,60,61,65,66,70],hangul:28,hao:16,happen:[2,4,9,12,16,33,37,45,51,53,54,56,57,63,70,71],hard:[16,54,58,63],hardcod:16,harder:[4,16,57],hardwar:[2,8,23],harm:33,harmless:[33,50],harrison:5,harsh:16,harvei:16,has_evar:16,hash:16,haskel:[2,9,12,16,23,24,56,63,76],hasn:34,have:[2,3,4,5,7,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,45,50,51,52,54,57,58,59,61,63,65,66,70,72,74],haven:[51,53,54],hayashi:23,hb:[56,57],hd:[16,29,33,56,71],he:[10,16,23,56],head:[3,12,13,16,23,25,26,29,34,40,41,43,52,53,54,56,57,58,59,63,66,70],headconcl:[16,58],header:[16,50,74],headhyp:[16,58],heap:[16,53,65],heap_word:65,heapsort:[16,23,26],heart:32,heavi:[2,8],heavili:16,hebb:16,hebrew:[16,28],heel:54,heidelberg:76,heiko:16,held:23,helg:16,helm:[16,23],help:[2,3,8,12,13,14,15,16,23,24,26,28,40,45,50,51,52,53,54,56,57,59,61,66,74],helper:[24,58],henc:[2,3,4,5,8,9,12,13,16,25,33,36,41,50,52,53,56,57,63,66,70],hendrik:16,henk:23,henri:[16,23],heq:[16,53,66],heq_n0:9,heq_n:9,heql:66,heqp:66,her:23,herbelin:[16,23,45],here:[2,3,4,5,9,10,12,13,15,16,23,26,28,30,32,33,34,36,37,40,41,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,74],hereaft:[25,29,54,56],herm:16,herman:23,heterogen:[16,66],heurist:[2,5,13,16,54,56,57,65],hex:16,hex_n_scop:16,hex_positive_scop:16,hex_z_scop:16,hexa:70,hexadecim:[16,26,28,35,51,58],hexdigit:28,hexnat:28,hf:[33,50],hfg:56,hget_evar:16,hi:[16,23,33],hidden:[16,23,24,26,52,56,70,74],hidden_arrow:11,hide:[16,24,33,37,43,56,57,65,70],hierarch:[23,34],hierarchi:[8,13,16,23,24,33,38,50],high:[13,16,23,24,34,58,59,65,71],higher:[3,8,13,16,23,26,39,50,53,56,57,58,59,63,66,70,72,76],highest:70,highli:[42,59,62],highlight:[16,50,51,52,56,62,65],higman:2,hijack:16,hilbert:[5,7,16],hinder:16,hindlei:[54,76],hindranc:53,hint:[3,12,13,16,23,24,26,34,37,53,61,63,74],hint_info:[12,59],hintbas:[54,59],hintdb:[12,16,54,59],hints_regexp:59,hiragana:28,histor:[16,24,43,54],histori:[16,24,25,52,58,65],hivert:16,hl:66,hloc:57,hlt:26,hn:65,hnat:43,hnf:[16,23,40,41,56,57,63,66],hnm:56,ho:[16,28,57],hoc:[2,3,16,70,76],hoist:16,hol:5,hold:[3,4,16,29,33,34,39,41,54,57,74],hole:[9,12,16,23,39,42,45,54,56,57,58,61,65,66,70],holland:76,home:[50,51,52],homebrew:16,homogen:[3,16],homotopi:16,honor:[2,16,50,56,70],honour:56,hood:[5,16],hook:[16,52],hope:[23,51],hopefulli:[16,54],horizont:[16,28,52,70,74],horror:24,host:16,hott:[16,39],how80:[25,65,76],how:[2,7,8,12,16,23,24,26,28,29,33,34,36,41,42,44,50,52,53,56,57,58,59,61,63,66,70,71,73,76],howard:[23,25,65,76],howev:[3,4,5,9,11,12,13,16,23,26,28,33,35,36,40,42,43,45,50,51,52,53,54,56,57,63,65,66,70,71],hp:[56,66],hpa:56,hpb:56,hq:[56,66],hqa:56,hqab:56,hrec:56,hresolve_cor:16,hspace:[25,30,33,34,37],html:[16,24,28,52],http:[2,5,16,23,24,26,49,50,51,52,58,63,74,76],hue88:[23,76],hue89:[23,65,76],huet:[23,76],hug:16,huge:[8,10,16,54,56,65],hugo:[16,23,45],hugunin:16,human:[16,24,57,74],hundr:[10,63],hur:16,hv:70,hx:[11,56,57],hy:57,hybrid:16,hyp0:56,hyp:[16,23,54,58,65,70],hyp_occ:57,hyperlink:[16,24,28],hypertextu:23,hypid:57,hypothes:[3,5,9,12,16,23,24,27,31,33,50,56,59,61,63,66,70],hypothesi:[3,9,10,16,23,24,26,27,28,33,37,54,56,58,59,61,63,65,66,70,71,74],hz:53,i1:[33,70],i2:70,i:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],i_1:[7,10,33,34],i_2:[10,56],i_:[3,33,56],i_block:56,i_i:34,i_ind:[45,70],i_item:56,i_j:[33,34],i_k:[7,33,34],i_l:33,i_n:[10,56],i_not_i:33,i_p:33,i_pattern:56,i_rec:[45,70],i_rect:[45,70],i_sind:[45,70],i_view:56,ia:16,icfp:76,icon:[16,51],id0:13,id1:16,id:[3,4,9,13,16,23,25,33,34,41,43,50,51,52,53,54,56,57,63,65,70,74],id_1:16,id_fct_funclass:4,id_n:16,id_str:70,iddec:52,idea:[10,16,33,41,53],ideal:7,idem:23,ident0:50,ident1:50,ident:[2,3,5,6,9,10,11,12,13,16,23,24,26,27,28,29,30,31,33,34,36,37,39,42,43,45,50,52,54,56,57,58,59,61,63,65,66,70,71,72],ident_decl:[4,9,12,27,29,31,33,36,37,39,41,58],ident_or_anti:54,identifi:[2,3,9,13,16,23,24,27,28,29,30,34,39,40,42,43,45,50,51,52,53,54,56,57,59,65,66,71,74],identity_ind:26,identity_rec:26,identity_rect:26,identity_refl:26,identity_sind:26,identityt:16,ideograph:28,idiom:[16,53,54,56,65],idl:51,idn:16,idp:56,idtac:[13,16,24,51,54,56,59,65,70,73],idx:56,ieee:[16,35,76],iempti:70,if_then_els:[16,70],ifeq:52,iff:[3,16,25,26,30,56,58,70],iff_reflex:58,iff_symmetr:58,iff_tran:16,ifflr:56,iffrl:56,ifi:16,igler:16,ignat:16,ignor:[4,12,13,16,23,26,28,30,33,34,43,50,51,52,53,56,57,59,63,65,70],ih:66,ihl:66,ihm:56,ihn0:[66,71],ihn:[56,65,66],ihp:66,ihterm:66,ihu:56,ihv:56,ik:16,ikebuchi:16,ikfprintf:16,ill:[2,4,9,16,23,29,33,50,54,63,70,71],illeg:4,illtypedinst:16,illustr:[5,16,33,45,56,63],imag:[3,10,16,23,50,51,65],imai:16,imedi:59,immedi:[16,23,26,53,54,56,57,58,59,65],impact:[16,52,65,70],imped:53,imper:[16,23,54],impl:[3,5,58],impl_reflex:58,implb:[5,16,26],implb_andb_distrib_r:16,implb_contraposit:16,implb_curri:16,implb_false_iff:16,implb_false_l:16,implb_false_r:16,implb_negb:16,implb_orb_distrib_l:16,implb_orb_distrib_r:16,implb_sam:16,implb_true_iff:16,implb_true_l:16,implb_true_r:16,implement:[3,8,10,11,12,16,23,24,26,28,33,34,35,36,38,42,45,53,54,56,57,58,59,61,63,65,66,70,71,76],implementor:58,impli:[2,3,13,16,23,29,33,56,70],implic:[3,16,25,26,27,41,53,56,59,65,66,70],implicit:[2,3,5,9,12,16,23,24,27,32,33,36,37,41,42,44,50,52,54,56,57,58,65,66,74],implicit_bind:[27,43],implicitli:[3,12,13,16,23,33,50,54,59,63],implict:40,implypp:16,import_categori:[16,34,58],importantli:16,impos:[23,29,33,56],imposs:[5,16,33,45,52,57,66],impract:52,impred:[2,11,13,16,23,24,33,50,52,76],improp:16,improv:[2,3,8,10,16,23,28,51,53,56,66],inE:16,in_concat:16,in_cons_iff:16,in_context:16,in_dec:16,in_elt:16,in_elt_inv:16,in_flat_map_exist:16,in_goal:16,in_hd:66,in_hyp_a:57,in_in_remov:16,in_inj_comp:16,in_left:16,in_nth:16,in_remov:16,in_rev:16,in_right:16,in_shiftin:16,in_tl:66,inabl:63,inaccess:16,inact:65,inadvert:[16,51],inc:16,incant:56,incident:16,incl:[16,58],incl_app_app:16,incl_app_inv:16,incl_cons_inv:16,incl_exist:16,incl_filt:16,incl_foral:16,incl_forall_in_iff:16,incl_l_nil:16,incl_map:16,incl_nil_l:16,incl_refl:58,includ:[2,3,5,8,9,11,12,13,16,23,24,26,27,28,33,34,35,37,38,39,40,42,43,50,51,52,53,54,56,58,59,61,63,65,66,70,72,74],include_subdir:52,inclus:[13,16,53,54],incoher:[16,45],incom:[4,16],incompar:70,incompat:[13,23,24,33,40,45,56,58,65,70],incompatibili:16,incompatibilit:23,incomplet:[5,8,16,23,45,57,65,66,70],inconsist:[2,8,11,13,16,23,25,33,38,43,50,58,65,66,70],incorrect:[2,8,11,13,16,24,33,36,45,51,56,65],incorrectli:[11,16],incr_fct:4,increas:[3,5,8,16,23,52,56,61],incred:54,increment:[16,23,29,30,31,32,33,37,54,65],incur:[16,65],ind1:34,ind2:34,ind:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],ind_bool:58,indag:76,inde:[3,4,8,10,11,12,13,16,24,25,28,29,33,34,39,40,41,42,43,45,52,53,54,56,57,63,65,66,70,71],indefinit:16,indefinitedescript:16,indent:[8,16,24,65,70,74],independ:[2,8,12,13,16,23,33,50,51,52,53,54,56,66],indetermin:56,index:[3,12,16,23,24,25,26,28,38,39,43,51,57,59,63,65,66,72,74],index_iota:56,indic:[2,8,10,11,12,13,16,23,25,33,34,38,39,40,41,42,45,50,51,52,53,56,57,58,61,63,65,66,70],indirect:[16,63],indirectli:[16,23,57,58,59,73],indistinguish:[13,36],individu:[16,52,54,63,66,70],indp1:34,indp2:34,indp:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],indpstr:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],indrec:16,induc:[16,23],induct:[4,5,9,10,11,12,13,16,23,24,26,28,29,30,31,32,34,36,40,41,43,51,53,54,56,57,58,59,61,63,64,65,72,74,76],induction_arg:[54,66],induction_claus:[54,66],induction_ltof1:16,induction_ltof2:2,induction_principl:66,induction_test2:66,induction_test:66,inductive_definit:[29,33],ineffici:[5,16,23,56],inequ:[5,16,23,59],inexact:26,infam:16,infer:[3,4,9,12,13,23,24,25,33,36,39,40,41,44,45,50,56,57,59,61,66,70],infin:[26,29,70],infinit:[11,26,29,33,38],infinite_loop:33,infix:[2,13,16,23,24,26,41,56,57,63,73],inflat:16,influenc:[16,23,33],info:[5,16,53,59],info_auto:[16,59],info_eauto:[16,59],info_trivi:16,infoh:53,inform:[2,3,4,11,12,13,16,23,24,25,26,28,29,33,36,38,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,66,71,74,76],informatiqu:[23,76],infrastructur:[3,24,41,52],ing:[16,73],ingredi:54,inhabit:[13,28,30,31,33,36,39,42,45,50],inher:56,inherit:[16,23,24,28,41,51,54],inhibit:[16,56],ini:51,init:[9,16,26,34,50,53,54,57,58,59,65,66,70],initi:[2,6,7,10,12,16,23,26,28,37,45,51,52,53,54,56,57,58,59,61,62,63,65,66,70,73,74],initialr:10,inj:61,inj_compr:16,inj_lt:56,inject:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],inject_nat:16,injtyp:[5,16],inl:[26,39,56],inleft:26,inlin:[16,23,24,27,34,63,65,71,74],inner:[2,13,16,34,41,42,53,54,56,58,61,63,65,66,70,74],innermost:[53,70],input:[3,4,9,13,16,24,26,28,34,43,45,50,53,56,57,59,63,70,71,73,74],inputenc:74,inr:[16,26,39],inr_0:16,inr_1:16,inr_archim:16,inr_izr_inz:16,inr_unbound:16,inria:[16,23,24,26,52,74,76],inright:26,ins:[16,57,58],insarov:16,insensit:16,inser_trans_r:16,insert:[3,4,9,11,12,16,23,24,28,40,45,51,52,54,56,65,70,74],insid:[2,3,4,8,9,12,13,16,23,24,27,28,33,34,37,45,51,54,56,57,58,59,63,65,66,70],insofar:54,inspect:[2,16,56,58],inspir:[16,23,74],inst:36,instabl:16,instal:[16,24,26,34,50,51,63,65,71,72],installcoqdocroot:16,instanc:[2,3,4,5,10,11,13,16,24,25,26,27,28,29,30,33,34,35,36,38,39,40,41,43,45,50,51,52,54,56,57,58,59,61,63,65,66,70,74],instancenam:12,instanti:[3,12,13,16,23,33,34,42,43,53,54,56,57,61,66,70],instantiate_ltac_vari:57,instantli:56,instat:41,instead:[2,3,4,7,8,10,11,12,13,16,23,25,27,32,33,34,35,36,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],institut:[23,26],instruct:[2,5,16,52,57,58],instrument:60,insub:56,insubt:56,insuffici:[13,16,50],insur:23,int31:16,int63:[16,70],int63_eq:[35,58],int63_typ:[35,58],int63not:16,int_mult:56,int_of_nat:2,int_or_var:[3,53,65,70],int_part_frac_part_spec:16,int_part_spec:16,int_scop:16,int_wrap:70,int_wrapp:70,intead:16,integ:[2,3,7,10,16,23,24,28,33,38,51,52,53,54,56,58,59,63,65],integr:[10,16,23,24,26,50,51,56,60,72],intellig:[23,41],intend:[3,16,23,27,31,38,50,56,63,65,70],intens:[10,16,23,63],intent:[16,23,27,56],intention:50,intepret:16,inter:[23,52],interact:[3,12,16,23,24,31,32,36,37,39,41,42,51,58,64,65,66,74,75,76],interchang:[52,65],interdepend:24,interest:[2,4,5,10,16,23,30,41,53,56,66],interfac:[8,16,23,24,34,51,52,54,65,74,75],interfer:56,interleav:[10,16,57],intermedi:[16,26,56,65],intermediari:[2,63],intern:[3,5,10,13,16,23,24,33,36,43,50,52,53,54,57,59,61,65,70,71,72,76],internal_:58,internet:51,internship:23,interpet:57,interpol:[16,52,74],interpret:[3,5,9,10,12,16,23,24,26,28,31,33,34,40,43,50,51,52,53,54,58,74],interrupt:[16,51,53,58],intersect:9,intertwin:[16,56],interv:51,intervent:51,intf:16,intmap:[16,23],intric:[53,54],intro:[3,5,10,11,12,16,23,24,26,33,41,42,43,51,53,54,59,61,63,65,66,70,71],introa:33,introduc:[3,5,8,10,12,13,16,23,24,27,29,30,33,34,36,37,42,43,45,50,51,54,56,57,58,59,61,65,66,70,71,74],introduct:[7,12,16,23,29,33,61,66,70],introl:57,intron:56,intronf:56,introntf:56,intropattern:[16,54,57,66],intror:57,intros_until:54,intuit:[4,10,16,23,28,54,57,61],intuition_solv:[16,61],intuitionist:[16,23,24,26,33,56,61,76],intuitionnist:76,inv_high:13,inv_low:13,invalid:[16,23,39,51,53,58,63,65,70],invalid_argu:16,invari:[13,16,54],invariant_ind:13,invariant_rec:13,invariant_rect:13,invariant_sind:13,invers:[3,10,16,23,24,26,30,57,59,63,71,76],inversion_clear:66,inversion_sigma:16,invert:[12,16,56,66,71],invert_con:66,investig:[16,23,76],invis:[16,52,56],invit:[23,41],invoc:[24,52,53,56,58],invok:[10,16,33,50,52,58,59,65,66,74],involv:[3,4,9,11,16,23,24,25,33,40,41,50,51,52,53,56,58,59,61,63,66],inz:16,io:[16,24],iota:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],ip_i:33,ipat:[16,56],ipattern:16,ipr_2_xh:16,ipr_2_xi:16,ipr_2_xo:16,ipr_eq:16,ipr_ge_1:16,ipr_gt_0:16,ipr_ipr_2:16,ipr_l:16,ipr_lt:16,ipr_not_1:16,ipr_xh:16,ipr_xi:16,ipr_xo:16,irif:76,irr_high:13,irr_low:13,irreduc:[16,36,63,70],irrefut:[16,24,31,39,56],irrelev:[13,16,24,31,32,33,38,53,54,56,63,76],irrelevant_ind:13,irrelevant_rec:13,irrelevant_rect:13,irrelevant_sind:13,irrevers:[16,23,63],irst:76,is_arrai:16,is_clos:16,is_conj:53,is_const:16,is_constructor:16,is_double_moins_un:16,is_empti:16,is_evar:[16,53],is_float:16,is_ind:[16,53],is_law:41,is_law_:41,is_proj:16,is_tru:[11,56],is_true_eq_tru:11,is_uint63:16,is_zero:45,isaac:16,isbn:76,island:76,islezero:16,isn:[9,16,27,51,53,56,57,59,65,66],iso:[16,74],iso_axiom:53,isol:56,isomorph:[23,24,45,54,61,65,66,76],isprop:5,isquash:11,isquash_sind:11,issac:76,issu:[2,3,23,24,45,51,53,54,57,63,65,72],issucc:26,isum:70,iszero:16,ital:[28,52,65,74],italic:[16,74],itarget:16,item:[16,23,24,28,51,53,54,57,59,63,65,66,70,74],iter:[3,5,12,16,24,25,26,27,29,70],iter_add:16,iter_ind:16,iter_invari:16,iter_nat:16,iter_rect:16,iter_succ:16,iter_succ_r:16,iter_swap:16,iter_swap_gen:16,ith:45,ito:76,itp:[16,76],its:[2,3,4,5,6,9,10,11,12,13,16,23,24,26,27,28,29,30,31,33,34,35,36,37,41,42,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71,72,73,74,76],itself:[2,3,8,9,10,11,12,13,16,29,33,38,39,40,41,42,43,50,52,53,54,56,57,59,62,63,66,70],itzhaki:16,iunit:70,izr:[5,16,70],izr_neq:16,izr_pos_xi:16,izr_pos_xo:16,j:[5,8,13,16,23,24,25,33,35,38,42,50,53,56,63,71,76],jacek:[16,23],jacob:16,jacqu:16,jai:16,jame:16,jan:[16,23],januari:[16,23,76],jason:16,jasongross:16,jasper:16,javadoc:74,jean:[2,16,23,76],jedit:16,jef:52,jerri:16,jesper:[16,76],jesu:16,jfehrl:51,jim:16,jm:23,jmeq:[16,66],jmeq_eq_dep:16,joachim:16,job:[8,51,52,53,56],johann:16,john:[5,76],join:[5,23],joint:23,jonathan:16,jone:76,jose:16,jouannaud:76,jourdan:16,journal:76,jouvelot:16,jp:16,jr:16,json:[2,16,50,52],juan:16,judg:53,judgement:23,judgment:[25,34,58,76],juli:[16,23],julien:[16,71],julin:16,jump:[8,16,51,56],june:[16,23],jung:16,jurgensen:16,jussieu:16,just:[2,3,4,8,9,10,12,16,23,27,30,33,34,36,40,41,45,50,51,52,54,56,57,58,59,61,63,65,66,70,74],justif:26,justifi:[16,26],jut:23,k1:56,k2:56,k:[2,3,6,13,16,23,25,33,41,53,56,66,71,76],k_1:33,k_i:33,k_j:33,k_n:33,kaiser:16,kaliszyk:16,kalla:16,kamil:16,karl:16,karolin:16,karolina:16,karpiel:16,kartik:16,katakana:28,kate:16,kayla:16,kazuhiko:16,keep:[2,11,13,16,23,32,33,35,41,45,51,52,54,56,63,66],keepsingleton:[2,16],kei:[16,24,40,41,54,56,58,63,65,70],keller:16,kenji:16,kent:76,kept:[13,16,23,35,52,66,74],kernel:[8,9,11,23,24,26,28,31,32,35,36,37,40,44,45,52,54,57,58,63,65],ketonen:23,keyboard:[51,58],keymap:51,keystrok:51,keyword:[16,23,24,27,28,31,36,39,45,54,56,63,70,74],khanh:16,kil:16,kill:16,kind:[2,8,10,16,24,26,28,33,41,45,52,54,56,58,66,71],kit:16,klausner:16,kleen:[23,59],kloo:16,knaster:23,know:[8,16,23,26,31,33,41,45,51,52,53,54,56,58,59,61,63,66,70],knowledg:[16,24,70],known:[2,8,11,12,16,23,26,29,32,33,38,40,43,50,54,56,65,70],knownfil:52,knowntarget:52,ko:52,konstantino:16,kosogorov:16,krebber:16,krivin:[16,63],kuefner:16,kunz:16,kuper:16,kw:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],kwend:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],kyoto:23,l0:[45,53],l1:[41,53],l1_tactic:53,l2:[41,53],l2_tactic:53,l2r:16,l3_tactic:[53,65],l:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],l_inj:16,l_r_neq:16,la:[12,16,23,51,54,76],lab:23,label:[2,8,13,16,28,53,58],lablgtk2:16,lablgtk3:16,laboratori:23,lack:[16,52,54,56],lafont:[16,76],lam:[25,33],lambda:[2,3,10,16,30,51,54,63,66,70,76],lambo:23,lampropoulo:16,land:[5,16,58,70],land_comm:58,land_on:58,landau:23,landmark:16,lang:76,langl:16,langston:16,languag:[3,9,10,13,25,28,35,36,38,39,40,45,52,53,62,63,64,65,73,74,76],lannion:23,laport:16,lappli:57,lar:16,larchei:16,larg:[10,13,16,24,25,28,33,34,38,51,52,53,56,60,63,65,66,70,74],larger:[2,12,13,16,24,50,51,56,59,70,74],largest:[56,70],larri:[16,23],lass:[16,76],lasson:16,last:[4,5,8,9,16,23,31,33,34,36,37,41,45,50,51,52,53,54,56,57,58,63,64,65,66,70,71],last_ind_list:56,last_last:16,last_length:16,last_spec:56,last_spec_ind:56,last_spec_rec:56,last_spec_rect:56,last_spec_sind:56,lastadd:56,lastcas:56,lastli:74,lastp:56,lastseq0:56,late:[8,16,23,24,63],later:[10,16,24,30,31,42,43,49,52,54,56,57,65,66,70],latest:[16,24,49],latex:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76],latin1:74,latin:[16,28],latter:[3,10,16,27,33,34,41,50,53,54,56,57,63,65,66,74],lattic:4,launch:[2,12,16,24,51,52],laurenc:[16,56],laurent:[10,16,23],law:[16,23],lax:[16,54,59],layer:[16,24],layout:16,lazi:[2,8,9,11,16,23,54,63],lazili:[8,16,29,53],lazy_and:16,lazy_goal_match0:16,lazy_impl:16,lazy_or:16,lazymatch:16,lb:12,lbase:16,lceil:5,lcf:[23,54],lcm0:16,lcm:[16,58],lcm_comm:58,ldexp:16,ldexp_spec:16,ldiff:58,ldot:[3,7,33],ldshiftexp:26,le0:41,le:[3,5,12,13,16,23,26,41,45,51,56,63,66,76],le_:26,le_add_l:16,le_class:41,le_epsilon:16,le_eqb:12,le_gt_dec:[2,56],le_ind:[26,45,66],le_ipr:16,le_lt_dec:[2,16,23],le_lt_tran:42,le_m_n:56,le_minu:[16,71],le_n:[26,56,66],le_n_m:56,le_n_p:56,le_not_lt:16,le_plus_r:16,le_rec:66,le_rect:66,le_sind:[26,45,66],le_tran:57,lead:[2,13,16,23,25,28,33,38,56,57,59,63,70,74],leaf:[33,66],leak:16,learn:[2,16,24,53,71],least:[2,3,11,12,16,24,27,28,29,33,40,45,51,52,54,56,57,63,65,66,70,71,73,74],leav:[11,12,16,31,34,51,53,56,57,58,59,63,65,66],leb:[5,9,16,26,56,58],leb_implb:16,lectur:76,led:[16,23],ledinot:23,lee:[16,76],lef:45,lefanu:16,left:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],lefta:70,leftarrow_:10,leftmost:[16,33,40,57],legaci:[2,3,5,6,9,10,13,16,26,28,33,35,39,41,42,50,53,54,56,57,58,59,63,65,70,71],legacy_attr:[9,13,28,34,39],legal:[16,30,33],legibl:56,legitim:23,lego:23,leibniz:[3,5,7,10,12,16,23,24,26,34,39,56,57,66],leivent:16,lel:58,lel_refl:58,lele_eq:41,leminv:66,lemm:23,lemma:[3,5,10,12,13,16,23,24,31,33,35,37,41,43,45,53,56,57,58,59,61,63,66,71],lemmata:16,len:53,length:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],length_to_list:16,length_zero_iff_nil:57,lennon:16,leo:[45,66],leonida:16,lepigr:16,leq:[33,41,56],leq_add_sub:56,leqn:56,ler90:[63,76],lerai:16,leroi:[16,23,76],lescuy:16,less:[2,4,8,10,13,16,23,33,45,50,52,53,54,56,58,59,63,70,76],let02:[2,76],let:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],let_claus:53,letan:16,letin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],letouzei:[2,16,23,76],lettac:23,letter:[16,23,25,26,28,36,45,50,54,70,74],level:[8,12,13,16,23,24,25,30,34,35,36,40,41,45,50,51,52,53,56,58,63,65,66,70,71,72,74],lewycki:16,lex:74,lexer:65,lexic:[2,16,24,50,58,70,74],lexicograph:[7,10,52],lexicographic_product:16,lfloor:5,lgth:33,lh:[54,56,58],li:16,lia:[16,24,53,54,56,59],lia_ltac1:54,lib:[16,23,50,52,54,58,74],librari:[2,5,8,24,28,34,35,39,40,51,53,56,57,63,65,71,74],lic:76,licens:[24,49],licit:24,lid:56,lident:54,life:16,lift:[3,11,13,16],liftn:16,light:[5,16,23,51,65,74],lighter:[8,12],lightweight:16,like:[2,4,8,9,10,12,13,16,23,25,26,28,31,33,34,37,38,40,41,42,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,74],likewis:[9,16,54],limit:[3,5,9,12,13,16,23,24,26,28,34,40,45,50,51,52,53,54,56,57,58,59,62,63,65,70,71],lincon:5,line:[2,8,11,23,24,28,41,51,52,53,54,56,57,58,63,65,70],lineag:54,linear:[2,3,10,13,16,23,24,45,50,53,54,56,63],linearintuit:23,liner:[16,24],link:[2,15,16,23,26,45,50,52,56,71,74],linkal:52,linker:23,linkpkg:52,lint:[16,52],linter:[16,50],linux:[16,34,50,51,52,58,63],lionel:16,lip:[23,76],lirmm:76,lisp:23,list0:[54,70],list1:[54,70],list2:33,list2_ind:33,list2_rec:33,list2_rect:33,list2_sind:33,list3:33,list3_ind:33,list3_rec:33,list3_rect:33,list3_sind:33,list:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76],list_equiv:3,list_ind:[13,33,40,43,45,56,66],list_max:16,list_max_app:16,list_max_l:16,list_max_lt:16,list_power_length:16,list_rec:[13,33,40,43,45,56,66],list_rect:[13,33,40,43,45,56,66],list_scop:[16,26,63,70],list_sind:[13,33,40,43,45,56,66],list_sum:16,list_sum_app:16,listdec:16,listing_decidable_eq:16,listn:45,listn_ind:45,listn_rec:45,listn_rect:45,listn_sind:45,listnot:[16,53,71],listset:16,listw:33,liter:[2,5,16,28,35,41,53,54,56,70],literatur:[12,33],littl:[8,9,10,13,16,34,56,63],live:[13,16,26,50,54],live_word:65,ljt:[53,61],ll1:70,ll:[12,16,33,51,52],llm3:23,ln:16,ln_exists1:16,lnc:76,lnot:[16,74],load:[2,3,5,6,7,8,9,10,16,23,24,26,28,33,34,35,41,42,53,54,56,57,59,63,65,66,70,71,72],loadabl:16,loadfil:58,loadpath:[16,23,50,52,58],local:[2,3,4,5,9,12,16,23,24,25,27,29,30,31,33,40,41,51,54,58,61,63,65,66,74],localhost:8,localis:23,locallysorted_sort:16,locat:[2,16,23,24,34,50,51,52,53,54],lock:[16,24],lockwood:23,log2:[16,58],log:[16,23,52,53],logarithm:16,logic:[2,3,9,11,12,16,23,24,25,27,28,29,33,34,38,50,56,57,58,59,60,65,66,74,76],logic_typ:[16,26],logical_dir:23,logical_kind:58,logiqu:76,loic:23,loiseleur:[10,23],lone:[16,70],longer:[3,9,16,23,30,33,37,43,51,52,57,65,66,70],longest:[16,28,33,40,74],longrightarrow:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],look:[4,8,9,10,12,13,15,16,24,50,52,53,54,56,57,58,59,65,66,70,71,74],lookup:10,loop:[16,23,24,50,54,57,59,62],loos:[16,59],lopez:16,lor:[16,58],lor_comm:58,lorenzo:76,lose:[33,66,70],loss:[16,56],lost:[16,29,43,56,66],lot:[3,10,16,23,51,54],lotfi:16,lott:16,low:[13,16,24],lower:[13,16,51,53,54,56,59,63,70],lowercas:[16,28,36,45,51,54],lowest:[36,53],lpar:76,lqa:5,lra:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],lri:[16,23,76],ls:[16,50,52],ls_color:50,ls_l:16,lsl:16,lsr:16,lt:[3,9,12,16,26,41,56,70,71],lt_1_ipr:16,lt_1_r:66,lt_eq_lt_dec:16,lt_ipr:16,lt_irrefl:[42,57],lt_mult_left:16,lt_n_m:56,lt_not_l:16,lt_tran:[42,56],lt_wf_double_rect:16,lt_wf_rec:[2,23],lt_wf_rect1:16,lt_wf_rect:16,ltac1:[16,24],ltac1_expr_in_env:54,ltac1val:54,ltac2:[24,34,51,52,53,58,62,65,70,73],ltac2_as_ipat:54,ltac2_as_nam:54,ltac2_as_or_and_ipat:54,ltac2_bind:54,ltac2_branch:54,ltac2_by_tact:54,ltac2_claus:54,ltac2_concl_occ:54,ltac2_constr_with_bind:54,ltac2_convers:54,ltac2_delta_reduct:54,ltac2_destruction_arg:54,ltac2_eqn_ipat:54,ltac2_equality_intropattern:54,ltac2_expr0:54,ltac2_expr1:54,ltac2_expr2:54,ltac2_expr3:54,ltac2_expr5:54,ltac2_expr:[54,70],ltac2_for_each_go:54,ltac2_goal_tact:54,ltac2_hypid:54,ltac2_hypident_occ:54,ltac2_in_claus:54,ltac2_induction_claus:54,ltac2_intropattern:54,ltac2_let_claus:54,ltac2_match_kei:54,ltac2_match_list:54,ltac2_match_pattern:54,ltac2_match_rul:54,ltac2_naming_intropattern:54,ltac2_occ:54,ltac2_occs_num:54,ltac2_or_and_intropattern:54,ltac2_oriented_rewrit:54,ltac2_plugin:54,ltac2_quot:54,ltac2_red_flag:54,ltac2_reduct:54,ltac2_rewrit:54,ltac2_scop:[54,73],ltac2_simple_bind:54,ltac2_simple_intropattern:54,ltac2_tactic_atom:54,ltac2_typ:54,ltac2_type0:54,ltac2_type1:54,ltac2_type2:54,ltac2_typevar:54,ltac2val:[16,54],ltac:[5,12,23,24,34,42,51,52,56,57,58,59,61,62,63,65,66,70,73,76],ltac_expr0:[10,53],ltac_expr1:[53,65],ltac_expr2:[53,65],ltac_expr3:[3,28,53,57,63,65],ltac_expr4:53,ltac_expr:[5,9,10,28,53,54,59,61,63,65,70],ltac_production_item:70,ltacprof:16,ltb:[5,16,26,58],ltnv:56,lui:76,lukasz:16,lumsdain:16,luna:23,luo:23,luttik:76,lv97:[3,76],lv:[16,50],lvar:7,lw11:[16,76],lxor:[16,58],lxor_comm:58,lyng:16,lyon:[23,76],lysxia:16,m0:[30,41,66],m150:57,m151:57,m1:[16,34],m2:[16,34],m:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],ma:76,mac:[52,59],maccagnoni:16,machin:[16,23,24,26,31,35,50,53,54,63],machineri:[3,16,56],maco:[16,50,51],macro:[16,23,45,65,74],made:[2,3,13,16,23,28,33,34,37,45,50,52,53,56,57,63,65,70,71,74],magic:[2,16,23,54,58],mahboubi:[10,16,41,56,76],mai:[2,3,4,5,8,9,11,12,13,14,16,23,24,25,26,28,30,31,32,33,34,36,37,39,40,41,42,43,45,49,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,73,74,76],mail:16,maillard:16,main:[2,8,9,10,12,16,24,26,28,33,39,51,52,53,54,56,59,63,70],mainli:[13,26,59,74],maintain:[9,12,16,26,38,45,50,52,56,57,70],maintaint:16,mainten:[16,24,57],major:[14,16,23,25,41,50,52,54,72,73],makariu:16,makarov:[5,16],make:[2,3,4,5,8,9,10,11,12,13,16,23,24,25,26,27,28,29,31,32,33,34,36,38,40,41,42,43,44,45,50,51,52,54,56,57,58,59,61,63,65,66,70,74,76],make_change_arg:16,makecmdgo:52,makefil:[8,16,50,51,52],malecha:16,malici:[16,50],maman:16,man:[24,50],manag:[3,12,16,23,24,31,37,50,52,56,58,59,61,72],mandatori:[2,8,16,31,56,65,70],mangin:16,mangl:[16,50,57,65],mani:[3,8,10,12,13,16,23,24,26,28,32,33,34,38,41,50,51,52,53,54,56,57,59,63,65,70,72],manifestli:34,manipul:[3,9,16,23,24,33,36,38,54,56,62,76],manna:23,manner:[23,50],manouri:23,mantissa:26,manual:[2,10,23,24,28,49,51,52,56,59,65,66,70],map2_ext:16,map:[3,5,12,16,23,24,25,26,33,34,35,38,40,43,50,52,56,57,58,59,70,71,74],map_append:16,map_eq_app:16,map_eq_con:16,map_ext:16,map_ext_foral:16,map_ext_in:16,map_id:16,map_last:16,map_map:16,map_morph:3,map_repeat:16,map_rev:16,map_shiftin:16,mapl:23,maplemod:23,mapsto:10,marc:16,march:[16,23,76],marech:16,marel:16,margin:[16,56],mari:16,mark:[2,11,16,23,30,36,40,43,50,51,52,53,54,56,58,59,63,65,70],marker:[16,58],marshal:16,marti:16,martin:[16,23,26,33,76],martinez:16,mask:[2,34],massiv:34,master:[8,16,51,52,76],master_kei:56,match:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,34,35,37,38,40,41,42,43,44,46,47,48,49,50,51,52,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],match_failur:[16,56],match_hyp:53,match_kei:53,match_pattern:53,matches_go:16,matej:16,materi:[16,23,24,49,56],math:[16,74,76],mathbb:[5,7,16],mathcal:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],mathcomp:16,mathemat:[5,16,23,24,28,33,36,50,51,56,63,65,74,76],mathematica:23,mathematician:16,mathematiqu:76,mathieu:76,mathit:[5,25,33],mathrm:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],mathsf:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],mathtt:5,matsushita:16,matt:16,matter:[16,36,50,56,63,66],matthew:16,matthia:16,matthieu:[3,9,13,16,76],matur:23,mauni:23,max:[13,16,23,38,45,53,58],max_comm:58,max_int:2,maxim:[3,12,16,24,40,50,56,70,76],maximum:[8,12,16,45,59,61,63,65],mayb:63,mayero:23,mbox:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],mcb00:[66,76],mcbride:[66,76],md5:16,md:[16,70],mean:[2,3,5,9,10,11,12,13,16,23,24,25,26,27,28,30,31,33,34,37,39,41,42,43,45,50,51,52,53,56,57,58,63,64,65,70],meaning:[16,28,51],meaningless:74,meant:[2,3,13,16,54,58,63],meantim:16,measur:[9,16,33,53,71],measure_induct:16,mechan:[2,3,4,9,12,16,23,24,28,33,37,40,45,50,51,52,54,64,65,70,71,76],medium:56,meerten:6,meet:[2,9,70],melquiond:16,mem:[16,52],member:[12,41,54],memo:23,memoir:23,memori:[8,10,16,23,24,28,50,52],menial:56,mental:66,mention:[2,3,13,16,23,25,33,38,43,45,50,53,56,57,59,65,70],menu:[16,23,51,65],mere:[2,16,54,56,63,70],merg:[16,43],mergesort:16,merlin:[16,52],mess:16,messag:[3,4,8,10,11,12,13,15,16,23,25,28,29,33,34,36,39,40,41,42,43,45,50,51,53,54,56,57,58,61,63,65,66,70,73],met:52,meta:[16,23,24,38,52,58],metadata:[52,58],metalanguag:16,metamathemat:[23,76],metaprogram:53,metasyntact:54,metasyntax:16,metatheori:56,metavari:[16,23,24,53,54,61],method:[2,3,5,6,7,9,10,12,16,23,26,28,29,33,35,41,42,52,53,54,56,57,58,59,63,65,71,76],methodolog:[23,56],metric:16,metzger:16,meven:16,micaela:23,michael:16,michel:[16,23],micro:51,micromega:[16,24,60,65],micromega_core_plugin:[5,10,26,28,35,53,54,56,59,65],micromega_plugin:[5,10,26,28,35,53,54,56,59,65],microsoft:16,mid:16,middl:[16,28,53,56,70,74],might:[2,3,5,8,12,16,45,50,52,54,56,61,66,70,71,74],migrat:16,milad:16,mileston:16,miller:16,milner:[23,54,76],mimic:[12,36,56],mimram:16,min:[16,23,58],min_comm:58,mind:51,mingw:16,minic:23,minim:[8,16,23,24,33,50,52,56,66],minimum:16,miniorderedtyp:16,minki:16,minor:[16,50,56,70],minor_heap_s:50,minu:[10,16,26,28,40,71],minus_ind:71,minus_ipr:16,miquel:23,mirai:16,mirror:16,misc:[16,23,51],miscellan:24,mislead:[16,70],misleadingli:16,mismatch:[16,45,52],mispars:59,miss:[5,8,12,16,23,34,42,50,51,54,56,57,61,63,70,74],misspel:[45,58],mistaken:74,misus:65,mitchel:76,mitig:[16,56,72],mix:[13,16,23,26,41,53,56,70],mixin:41,mixtur:23,mk_field:10,mk_linear:10,mk_rt:10,mk_sfield:10,mk_srt:10,mkmorph:10,mkpow_th:10,mkpredtyp:16,mkr:16,mkrat:36,mkrel:56,mkrmorph:10,ml4:16,ml:[3,5,6,8,9,10,16,23,24,25,26,28,33,35,41,42,45,50,51,52,53,56,57,58,59,62,63,65,71,76],mldep:16,mlg:[52,58],mli:[5,16,52],mlihtml:16,mllib:[16,52],mlpack:[16,52],mn:16,mod1:[34,50],mod2:[33,34],mod:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],mod_zmod:16,moda:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],modal:16,mode:[9,12,13,16,23,24,28,29,31,33,37,40,45,50,53,57,58,59,64,74],model:[10,16,23,56,76],modern:54,modif:[2,4,10,16,35,57,70],modifi:[3,4,8,10,12,13,16,23,24,28,35,37,40,50,51,53,54,56,57,65,66,70],modimp:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],modnam:56,modtyp:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],modu:57,modul:[2,3,5,7,9,10,12,16,23,24,26,27,28,32,35,36,37,39,40,41,43,50,51,53,54,56,57,58,59,63,65,66,70,71,74],modular:[2,16,23],module_bind:34,module_expr_atom:34,module_expr_inl:34,module_prefix:52,module_typ:34,module_type_inl:34,modulenam:74,modulo:[2,4,5,10,16,23,26,33,53,56,57,58,70],modulu:16,moh86:[23,76],mohr:[23,26,76],mohrin:23,moin:16,moment:[16,25,51,52,53],mon_car:13,mon_op:13,mon_unit:13,monad:[13,16,54],monat:[16,23],monin:[16,23],monoid:[13,54],monoid_op:13,monoids_monoid:13,monolith:[2,16],monom:16,monomi:[5,10],monomorph:[9,16,24,26,28],mononorph:13,monospac:16,monoton:[3,4,16],monotoni:3,montevideo:23,month:16,moor:23,mora:76,moral:33,more:[2,3,4,5,6,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,32,33,34,35,37,39,41,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71,72,73,74],moreov:[3,5,8,16,27,43,45,50,51,56,61,70],morgan:16,morph0:10,morph1:10,morph_add:10,morph_eq:10,morph_mul:10,morph_opp:10,morph_sub:10,morphism:[4,10,16,24,58,70],morphisms_prop:[3,16],morphisms_rel:16,morri:23,most:[2,3,4,8,11,16,23,26,28,33,37,40,44,45,50,51,52,53,54,56,57,59,62,63,65,66,70,71,72],mostli:[2,3,16,23,51,56,59],mot_to_ot:16,motiv:[10,16,54,56,76],motzkin:16,mous:[23,51],move:[12,16,23,24,42,51,52,54,65,66,70],move_loc:54,movement:57,mset:16,msetavl:16,msetrbt:16,msg:54,msub:34,mt13:[41,76],mt:34,mtac2:62,mtac:54,mto:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],much:[2,10,12,16,24,32,50,52,56,58,62,63,70],mul1g:56,mul:[2,5,16,26,35,51,56,70],mul_add_distr_l:6,mul_comm:[10,58],mul_exp:56,mul_spec:[26,35],mulder:16,mule:56,mulg1:56,mulgi:56,muln0:56,muln1:56,muln:56,mult1_rev:56,mult:[10,16,23,25,26,56],mult_comm:56,mult_ipr:16,mult_mark:56,mult_n_o:26,mult_n_sm:[26,58],multi1:56,multi1_rev:56,multi2:56,multi3:56,multi:[12,16,24,51,53,54,65,74],multi_goal_match0:16,multi_match0:16,multi_match:16,multibyt:16,multimatch:16,multipl:[3,4,9,13,16,23,24,26,28,33,34,39,43,51,57,58,59,63,65,66,70],multipli:[2,26,56],multirul:56,multiset_eq:3,multisuccess:16,mun94:[61,76],munch:16,murthi:23,museum:24,must:[2,3,4,6,7,8,9,10,11,12,13,16,23,24,25,26,28,29,33,34,35,36,38,39,40,43,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],mutabl:16,mutual:[9,16,23,24,28,29,31,36,53,54,66,70,71],my:[51,52,56,58],my_:39,my_congr_properti:56,my_def:56,my_eq:56,my_lemma1:56,my_lemma2:56,my_nat:39,my_o:39,my_package_plugin:58,my_scop:16,my_tac:51,my_tauto:53,my_tauto_ex1:53,my_tauto_ex2:53,my_toplevel:52,mybool:40,mybool_scop:40,myclass:36,mycod:52,myconst:23,myconstr:54,mye86:[65,76],myer:[65,76],myfield2:36,myfield:36,myfil:52,myfirst:53,myforal:70,mygeneratedfil:52,mylemma:56,mylet:70,mylib:73,myop:56,mypackag:52,myproj:52,myrecord:36,mytac:[16,54,56],mytauto:53,n0:[2,9,30,45,56,57,66,71],n1:[2,9,33,52,56,71],n2:53,n2bv_gen:16,n2bv_size:16,n2z:16,n:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],nO:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],n_1:[10,25],n_2:10,n_gt0:56,n_i:56,n_k:25,n_scope:70,n_sn:26,naddord:16,naiv:56,nake:56,name:[2,3,4,5,6,8,9,10,12,13,16,24,25,26,27,28,30,31,33,35,37,38,39,40,41,42,43,45,50,51,52,54,56,57,58,59,63,66,70,71,73,74],name_go:65,nameless:[16,76],nameofthem:51,namespac:[13,16,34,41,52,58],naming_intropattern:[57,66],nan:[16,26,70],nanci:23,nanevski:76,nant:16,narasimhan:[23,76],narboux:16,narith:[10,16,26],narithr:[10,16],narrow:[58,66],naryfunct:16,nash:16,nat2z:56,nat:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],nat_cas:[26,66],nat_case_nodep:66,nat_compar:16,nat_compare_alt:16,nat_double_ind:26,nat_eq:41,nat_eqcl:41,nat_eqti:41,nat_ind:[26,33,57],nat_it:16,nat_l:41,nat_lecl:41,nat_leq_compat:41,nat_leqmx:41,nat_leqti:41,nat_leti:41,nat_of_int:2,nat_op:43,nat_or_id:56,nat_or_var:[5,12,16,53,57,59,66],nat_rec:[26,33,43,66],nat_rec_nodep:66,nat_rect:[26,33,58],nat_rect_plu:58,nat_scop:[6,26,30,33,37,45,56,70],nat_setoid:41,nat_sind:[26,33],nati:52,natint:16,nativ:[2,5,11,23,24,35,50,53,54,57,58,63],native_cast_no_check:57,native_comput:[16,24,31,35,50,57],native_compute_profil:63,nativecomput:[16,63],natnod:33,natord:16,natr:23,nattre:33,nattree_ind:33,nattree_rec:33,nattree_rect:33,nattree_sind:33,natur:[2,5,7,9,12,13,16,23,24,25,26,27,28,29,33,34,36,38,39,41,43,45,51,52,56,57,58,59,61,63,65,70,71],naveen:16,navig:[23,51,56,74],nawrocki:16,nbinari:52,ncring_tac:16,nd:76,ndigit:16,ndist:16,ndoubl:16,ne_:70,nearest:[16,26,53],nearli:72,necess:16,necessari:[3,4,9,12,16,23,28,32,36,52,54,56,58,61,63,66,70],necessarili:[4,45,66,71],necessit:23,need:[2,3,5,8,9,10,12,13,16,23,24,27,28,30,31,33,34,37,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,72,74,75],neg:[5,16,26,28,29,36,63,65,70],neg_infin:26,neg_zero:26,negat:[16,26,53,56,57,59,61,66],negb:[5,12,26,61,70],negp:56,negpp:16,neither:[13,45,53,54,56,63,66],nelson:61,neq0:56,neq:10,neq_symmetr:58,neqb:12,neqb_implicit:12,nest:[3,9,16,23,24,28,31,34,37,39,53,56,57,58,63,65,70,74],net:16,network:59,never:[2,12,13,16,23,34,40,41,43,50,53,54,56,57,59,63],nevertheless:[2,16],new_var:16,newcommand:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],newdestruct:[16,23],newer:16,newest:[7,53,54],newinduct:[16,23],newli:[16,28,59,66],newlin:[16,23,28,52,53,70,74],newman:[16,23],newn:53,next:[3,9,12,16,23,26,28,32,33,41,43,45,50,51,53,54,56,59,63,64,65,66,70],next_down:26,next_up:26,ngan:16,nge0:56,ngt0:56,ni:52,nia:[16,24],nice:[51,56,66,74],nicer:16,nichola:16,nick:16,nickolai:16,nicola:[3,16,76],nicolo:16,niesi:76,nijmegen:[16,23],nikishaev:16,nikita:16,nil2:33,nil3:33,nil:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],nil_spec:16,nilhl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],niln:45,nilw:33,ninf:26,niqui:16,nlist:70,nm:56,nmake:16,nmake_gen:16,nmax:16,nmin:16,nminu:16,nnn:[16,70],nnormal:26,nnumber:16,nocor:[16,59],nocycl:52,node:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],nodebug:16,nodup:16,nodup_app_remove_l:16,nodup_app_remove_r:16,nodup_filt:16,nodup_incl:16,nodup_incl_nodup:16,nodup_list_decid:16,nodup_permutation_bi:16,nodup_rev:16,noedit:65,noi:[16,50],noinit:[16,28,50,65],noinlin:2,nois:52,nomacintegr:16,nomatch:[16,40],non:[2,4,6,8,9,12,13,16,23,24,25,26,27,28,29,34,36,39,40,45,50,51,52,56,58,59,61,63,65,71,74],nonassoci:70,nonconst:7,noncrit:16,noncumul:[16,24,28],none:[4,5,12,16,23,26,33,39,41,45,50,53,54,56,65,70],nonempti:[8,59],nonetheless:[2,16,29,31,35,50,54,65],nonlinear:16,nonneg:59,nonprimit:16,nonproptyp:16,nonrecurs:[16,36,39,66,71],nonreflex:24,nonsimple_intropattern:54,nonstandard:16,nonsymmetr:24,nontermin:[16,28,53,54,70],nontrivi:[10,16,45,50,56],nonuniform:[4,16],nonzero:[3,10,36,53],nor:[10,16,25,33,34,45,50,51,52,53,54,56,57,58,63,66,70],norec:50,norm:10,normal:[2,3,4,5,10,16,23,25,26,28,29,30,33,34,40,43,50,51,52,53,54,56,58,63,65,66,70,71,76],normfr_mantissa:26,norp:56,north:76,nosimpl:56,not_1_ipr:16,not_eq_:26,not_eq_sym:26,not_found:[16,23],not_i:33,not_i_i:33,not_ipr:16,not_locked_false_eq_tru:56,not_nodup:16,nota:16,notabl:[16,23,36,50,54,56,63,66],notat:[4,5,9,10,13,23,24,25,27,28,30,32,33,34,35,36,37,39,40,44,45,50,51,52,56,57,59,63,66,72,73,74,76],notation_declar:70,notconst:10,notcresolut:[16,56],note:[2,3,4,5,7,8,10,11,12,13,14,16,23,25,26,27,28,33,34,36,39,41,42,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,76],notempl:16,notepad:52,noth:[3,12,16,37,40,50,53,54,56,57,61,63,65,66],notic:[3,4,5,16,25,33,34,37,45,50,51,53,56,57,63,65,70,71,73],notin:[16,25],notin_flat_map_foral:16,notin_remov:16,notion:[5,10,16,23,24,25,26,32,33,45,50,53,54,57,63,70,76],nott:[16,26],notypeclass:[16,57],nouniv:53,nov:23,novel:[16,24],novelti:[16,24],novemb:[16,23,76],novic:[16,56],now:[2,3,4,10,12,13,16,23,25,26,29,33,34,40,41,45,50,51,52,53,54,56,58,59,63,66,70,71,73],nowadai:52,np_n:33,npe:10,npeano:16,npo:36,nq:66,nra:[16,24],ns:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],nsatz:[16,24,60],nsatz_comput:16,nsatztact:[7,16],nset:70,nsi:16,nsubn:26,nsucc_doubl:16,ntf:50,nth:[16,26,57],nth_append_l:16,nth_append_r:16,nth_error:16,nth_error_:16,nth_error_con:16,nth_error_ext:16,nth_error_map:16,nth_error_nil:16,nth_error_o:16,nth_error_repeat:16,nth_ext:16,nth_middl:16,nth_nth_nth_map:16,nth_order:16,nth_order_ext:16,nth_order_hd:16,nth_order_replace_eq:16,nth_order_replace_neq:16,nth_order_tl:16,nth_repeat:16,nth_replace_eq:16,nth_replace_neq:16,ntn:23,nullstellensatz:[5,7,16],num1:23,num2:23,num:[10,16],numarg:23,number:[2,3,4,5,7,10,12,13,16,23,24,25,28,29,33,35,36,38,39,40,41,42,43,45,51,52,54,56,57,58,59,61,63,65,66,71,73,76],number_modifi:70,number_or_str:[28,70],number_string_via:70,numer:[5,10,16,23,26,28,70],numgoal:[16,24],nuprl:23,nvar:23,nw:2,ny:76,nz:16,nzero:26,o:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],o_:[26,36],oapp_comp:16,obei:[16,23,36],obfusc:58,obindeapp:16,obj:[2,23,41],object:[2,3,4,8,9,10,12,13,16,23,24,25,27,28,29,30,32,34,36,37,38,39,40,41,43,50,52,54,56,58,63,66,70,71],oblig:[12,16,24,36,56,61,71],observ:[16,33,36,39,53,54,58,65,70],obsolet:[16,23,50,57],obstacl:[16,41],obstruct:56,obtain:[2,3,4,5,8,16,33,53,54,56,57,63,66,71,74],obviou:[3,33,56,70],obvious:[16,70],ocaml:[2,9,10,16,23,24,28,31,35,50,52,53,54,62,63,65,70,72,74],ocaml_librari:52,ocamlbuild:16,ocamlc:16,ocamldep:16,ocamldoc:74,ocamlfind:[16,52,58],ocamllib:52,ocamlopt:[16,52],ocamlrunparam:[16,50,65],ocamlwarn:52,ocan_comp:16,ocan_in_comp:16,occ:56,occ_switch:56,occas:16,occasion:[16,23,28,52,65],occs_num:[16,54,57,63],occur:[2,3,4,8,16,23,25,27,29,33,36,37,40,41,43,45,53,54,56,57,58,59,63,65,66,70],occur_between:16,occurn:16,occurr:[2,3,10,13,16,23,24,25,42,43,45,51,53,54,58,59,63,70],octal:16,octob:[23,76],ocurr:57,odd:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],odd_:33,odd_alt:16,odd_alt_odd:16,odd_even:66,odd_even_ind:16,odd_ind:[33,66],odd_j:56,odd_sind:[33,66],odditi:53,oddn:56,oddt:16,oddt_event_rect:16,of_bit:58,of_constr:54,of_float:35,of_goal:16,of_hex_uint:58,of_int63:26,of_int64:35,of_int:35,of_list_to_list_opp:16,of_module_typ:34,of_nat:[16,56],of_num_uint:[28,58,70],of_str:54,of_typ:[4,16,27],of_type_inst:[16,33,36],of_uint:[58,70],of_uint_dec:70,off:[2,8,11,12,13,16,23,26,28,33,34,36,42,43,45,50,51,52,53,56,58,63,65,66,70],offer:[16,28,45,51,54,56,58,70],offici:[16,53],offset:[16,52],offsid:16,ofil:52,often:[2,3,12,13,16,24,27,42,45,51,52,54,56,57,65],ok:[16,28,51,57],okj:16,old:[3,10,23,24,50,52,54,57,59,65,66],older:[16,28,66],oldest:[4,16],oldf:54,oldroot:16,olift:16,olift_comp:16,oliv:16,olivi:[16,23],omap_comp:16,omapeapp:16,omapebind:16,omega2:16,omega:[16,23],omegalemma:16,omegatact:16,ominu:10,omiss:16,omit:[2,3,8,13,16,26,27,28,29,31,33,36,37,39,40,41,43,44,45,52,53,54,56,57,58,59,65,70,74],omnisci:16,onc:[3,8,9,10,12,13,16,23,24,26,31,33,40,41,43,45,50,52,54,56,57,58,59,63,65,66,70,71],ondemand:[16,50],one:[2,3,4,5,6,8,9,10,11,12,13,14,16,23,25,26,27,28,29,30,32,33,34,35,36,37,39,41,42,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71,73,74,76],one_goal_match0:16,one_minus_one_is_zero:35,one_pattern:[12,58,59],one_term:[3,5,6,7,10,12,28,33,53,57,59,61,63,66,70,71],one_term_with_bind:[3,57,63,66,71],one_two_ir:36,one_typ:[28,57,63],ones:[2,3,4,8,12,13,16,24,27,33,34,36,43,45,51,52,53,56,57,58,62,65,66,70,74],ongo:16,onli:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,24,25,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,45,49,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,73,74],onlin:[26,72],onto:[16,70],oop:16,op1:[56,57],op2:57,op:[5,41,43,52,56,65,70],opac:[16,63],opam:[16,24,26,72],opam_packag:52,opaqu:[3,6,8,9,13,16,23,24,30,31,34,37,50,56,58,59,63,65,66,70,74],opcod:16,open:[3,5,6,10,12,16,24,26,28,34,35,37,41,49,51,53,54,56,58,59,63,65],open_bind:[27,57,63],open_constr:[16,54],open_constr_with_bind:16,openbsd:16,opencont:[24,49],openpub:[24,49],openurl:51,oper:[3,5,9,10,13,16,23,24,26,31,33,35,50,51,53,54,56,59,65,66,70],operand:[16,26],operation:35,opl:5,oplt:5,oplu:10,opn:57,opp:26,oppen:61,oppos:[16,56],opposit:[16,30,31,45,57,63],opt:[16,23,52,54,70],optim:[5,9,16,23,24,35,57,63,65,76],optimis:23,optimize_heap:[16,65],option:[5,8,9,10,12,13,15,23,24,25,26,33,34,37,39,41,43,45,49,51,52,53,54,56,57,58,59,61,63,66,70,73],option_eqb:12,option_eqb_obligation_1:12,option_eqb_obligation_2:12,option_eqb_obligation_3:12,option_ind:[26,33,57],option_rec:[26,33,57],option_rect:[26,33,57],option_sind:[26,33,57],oq:76,or_and_intropattern:57,or_assoc:58,or_ind:[33,39],or_introl:[26,33,39,45,57,66],or_intror:[26,33,39,45,57,66],or_sind:[33,39],oracl:5,orang:51,orb:[26,56,61],orb_comm:58,orb_negb_l:16,ord:[12,56],ord_ind:56,ord_rec:56,ord_rect:56,ord_sind:56,order:[2,3,4,6,7,8,9,10,11,12,13,14,16,23,24,25,26,28,29,31,33,34,36,39,41,42,45,50,51,52,53,54,56,59,60,61,63,65,66,70,71,74,76],ordered_set_lang:52,ordered_typ:[16,59],orderedgrammar:70,orderedtyp:[16,59],orderedtypeex:16,orderg1:56,orderg:56,orderg_dvd:56,ordersex:16,orderstac:16,ordinari:[3,16,25,36,38,70],org:[24,49,63,74,76],organ:[16,23,24,52,54,56],organis:23,orient:[16,23,24,50,53,54,56,59,63],oriented_rewrit:[54,63],origin:[2,3,4,9,10,16,23,28,30,33,37,42,43,45,52,56,57,61,63,65,66,70],orp:56,orphan:52,orphan_foo_bar:52,orpp:16,orsai:[16,23],orthogon:56,os:[16,52],oscar:16,ot:59,other:[2,3,4,5,6,8,9,10,11,12,13,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,40,41,42,50,51,52,53,54,56,57,58,59,61,62,63,66,70,71,75],other_const:41,otherwis:[2,3,8,9,12,13,16,27,28,33,41,43,45,50,51,52,53,54,56,57,58,61,63,65,66,70,72],otim:10,our:[4,5,7,10,16,23,33,34,53],ouri:76,ourselv:[13,33],out:[8,16,23,28,41,51,52,53,56,57,58,59,65,70,74],outcom:[16,50,52,53,66],outdat:16,outer:[13,16,45,65],outperform:16,output:[2,3,4,10,13,16,23,32,41,50,51,52,53,58,59,63,65,70,74],output_valu:16,outputst:16,outsid:[3,9,10,11,12,16,27,37,39,40,42,52,53,58,59,65],ouvert:76,over:[2,3,10,13,16,23,24,25,26,27,29,31,33,36,37,38,39,40,41,43,45,51,52,53,57,58,59,60,61,63,65,66],overal:[50,53,63,74],overflow:[2,16,58,65,70],overhaul:16,overhead:[16,52,63],overlap:[5,16,41,45,52,56,58,65],overli:16,overlin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],overload:[16,23,24,70],overrid:[13,16,36,50,52,56,65,66,70],overridden:[16,26,53,56,70,74],overriden:16,overview:[16,24,70],overwrit:[51,63,65],overwritten:74,ovl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],ow:54,own:[5,16,23,24,34,41,43,53,56,58,59,61,65,66,74],owr:76,p0:[9,30,66,71],p1:[12,16,36,56,66],p2:[36,56,66],p2q:56,p:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],p_0:5,p_1:[5,7,33,34],p_2:[5,34],p_:[7,33],p_i:[7,33],p_j:[5,33],p_l:33,p_m:33,p_p:33,p_r:[33,34],p_rmin:16,p_u:33,p_unit:53,p_xy:56,pa:56,pab:56,pablo:16,pack:[3,41,52],packag:[16,23,24,34,41,50,51,58,66,72,74],packtyp:13,pad:56,page:[16,24,26,50,51,70,74],pain:56,pair:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],pair_eq:41,pair_eqcl:41,pair_eqti:41,pair_l:41,pair_lecl:41,pair_leq_compat:41,pair_leqmx:41,pair_leqti:41,pair_leti:41,pairusualdecidabletypeful:16,pairwis:56,palaiseau:16,palat:[16,54],pale:65,palmskog:16,pane:51,panel:[8,16,51,65],panic:54,paolo:16,paper:[12,23,41,53,56,71,76],par95:[9,76],par:[8,16,51,53],paradigm:23,paradox:[33,76],paragraph:[10,26,34,39,56,74],paral:16,parallel:[16,23,24,37,50,51,52,53,56,75],param:16,param_1:16,param_n:16,paramet:[3,4,5,7,8,12,13,16,23,24,27,28,33,36,39,40,42,43,52,53,54,57,58,59,63,65,66,70,71],parameter:[3,5,10,13,16,23,24,27,36,39,53],parametr:[16,23,24,33,39,63],parent:[9,16,23,76],parenthes:[2,3,8,16,23,27,28,34,36,45,53,54,56,57,66,70],parenthesi:[16,56,65],pari:[16,76],parimala:16,parith:[16,26],pariti:16,parm:70,parrai:[16,35],pars:[16,24,26,28,40,41,45,50,53,56,58,59,73,74],parse_entri:16,parser:[13,16,23,28,52,70],part:[2,3,10,12,14,16,23,24,26,28,33,34,36,45,50,51,52,53,54,56,57,65,66,70,71,72,73],parti:[16,50,51,52,58,74],partial:[3,12,16,23,33,34,36,43,50,52,53,56,58,61,65,70,71],particip:[16,56],particular:[2,3,6,9,11,12,16,28,29,30,31,32,33,36,37,39,41,51,52,53,54,56,58,59,63,65,70,74],particularli:[16,24,41,50,52,63,70],partit:[8,16],partition_as_filt:16,partli:[16,56],partner:16,pascal:16,pass:[3,5,8,11,16,23,36,41,50,51,52,53,54,56,59,63,65,66,70,74],past:[2,16,51,63],pat1:16,pat:[16,54],patch:16,patenaud:16,path:[2,4,5,16,23,24,26,34,50,51,53,59],pathnam:[50,52],patholog:2,patn:16,patrick:[10,23],pattern0:[27,39],pattern10:39,pattern1:39,pattern:[2,9,12,16,23,24,26,27,29,31,33,39,40,41,44,59,63,66,71,76],pattern_occ:[57,63],paul:16,paulin:[16,23,26,33,76],paulson:23,pautomata:23,pave:16,payload:26,pb:56,pc:10,pcan_in_comp:16,pcan_in_inj:16,pcm:16,pcompar:16,pcoq:23,pdf:[16,28,76],pe:10,peadd:[5,10],peak:[16,52,65],peano:[16,23,24,33,56,59,70],peano_dec:23,peanonat:[6,16,57,58],pec:[5,10],pedant:58,peeval:10,pemul:[5,10],pen:56,pennsylvania:[16,76],peopl:16,peopp:10,pepow:10,per:[2,3,10,16,23,51,52,56,58,70],per_symmetr:58,percentag:53,perf:[16,63],perfect:2,perfectli:2,perfetto:50,perform:[2,3,5,7,8,10,12,16,23,24,25,33,40,41,45,50,53,54,56,59,61,63,65,66,70,71],perfum:16,perhap:[51,52,57],period:[16,23,28,51,53,59,65],perm:53,perm_append:53,perm_aux:53,perm_con:53,perm_ind:53,perm_refl:53,perm_sind:53,perm_tran:53,permiss:[16,52],permit:[9,16,23,24,33,36,37,52,53,54,57,59,63,65,66,70],permtat:16,permut:[3,16,24,54,56],permutation_app:16,permutation_app_inv_m:16,permutation_app_middl:16,permutation_app_rot:16,permutation_app_swap_app:16,permutation_con:16,permutation_count_occ:16,permutation_elt:16,permutation_elt_map_inv:16,permutation_exist:16,permutation_flat_map:16,permutation_foral:16,permutation_forall2:16,permutation_imag:16,permutation_incl_cons_inv_r:16,permutation_ind_transp:16,permutation_list_max:16,permutation_list_sum:16,permutation_map_inv:16,permutation_middle2:16,permutation_morph_transp:16,permutation_permutation_transp:16,permutation_pigeonhol:16,permutation_pigeonhole_rel:16,permutation_refl:16,permutation_repeat:16,permutation_transp:16,permutation_transp_con:16,permutation_transp_equiv:16,permutation_transp_sym:16,permutation_vs_cons_cons_inv:16,permutation_vs_cons_inv:16,permutation_vs_elt_inv:16,permutsetoid:16,perri:16,persist:[9,16,23,34,35,37,63,76],person:23,perspect:[23,76],pertain:53,pervas:16,pesub:10,peter:[16,23],peterson:16,pex:[5,10],pexpr:10,peyton:76,pf_type_of:16,pf_unsafe_type_of:16,pfen:[16,23,76],pff:8,pfst:13,pg:[16,65],pgivesbound:8,phantom:41,phantom_ind:41,phantom_rec:41,phantom_rect:41,phantom_sind:41,phase:[16,23,51,53,54,56,63,71],phd:[23,76],phi:16,philosoph:10,phoni:[16,52],phrase:[24,70],physic:[16,23,34,50,52,58,74],physical_dir:23,phyumn5ooqtymh4h6i0nsskchnaysu:50,pi:[12,16,51],pi_:27,pichardi:[71,76],pick:[16,41,50,51,52,56,57,65,66],pictur:16,pide:16,pident:13,piec:[10,41,42,52,54,56],piecewis:16,pierc:16,pierr:[2,16,23,76],pile:56,pinf:26,pinj:10,pink:51,pinot:16,pinpoint:56,pioneer:23,pipe:16,pise:23,pit:16,pittsburgh:76,pivot:5,pk:[13,56],pkg:[52,58,74],pl:54,place:[2,3,16,31,39,42,50,52,56,57,58,63,65,66,70,74],placehold:[16,42,43,50,56,57,65,70],plai:[2,16,25,41,63,65],plain:[16,34,56,74],plainli:54,plan:[16,24,52,54,71],plane:[16,23,24],platform:[16,23,35,50,52,53,71],pleas:[16,23,43,52,53,61,65,66,71,76],plu:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],plug:58,plugin:[2,5,10,11,16,23,24,28,32,34,52,53,54,58,62,65,70,71],plugin_tutori:[16,62,73],plumb:66,plural:[16,27,37],plus1:70,plus_equ:[56,71],plus_fct:40,plus_ind:[56,71],plus_ipr:16,plus_n_o:[26,58],plus_n_sm:[26,58],plus_o_n:58,plus_rec:[56,71],plus_rect:[56,71],plus_sn_m:58,pm89:[23,76],pm93a:[30,76],pm93b:[23,76],pm:56,pmult:16,pmult_comm:16,pn:[12,16,56],pnormal:26,po:[16,23,58,70],point:[2,3,10,12,16,23,24,25,26,31,33,34,35,38,50,51,52,53,54,56,65,70],pointer:[23,25],pointless:56,pointwis:3,pointwise_rel:3,pol:10,polici:[16,56,73],pollack:23,polylist:23,polymorph:[2,3,12,16,23,24,25,26,28,29,30,31,32,36,38,39,40,43,45,50,58,65,66,70],polynom:10,polynomi:[5,7,16,23,24,60],ponen:57,pool:[16,61],poor:16,poorli:[42,53],pop:[56,70],popl:76,popul:28,port:[3,16,23,53,54,71],portion:[16,56],pos_neg_int63:70,pos_sub:16,pose:[5,16,23,33,53,54,56,57,66],posit:[3,4,5,7,10,13,16,23,24,26,29,35,36,38,40,43,45,50,51,53,54,56,57,58,63,65,66,70],position:[2,57],positive_as_ot:16,positive_scop:[26,70],positivstellensatz:[16,24],posreal:16,possibl:[2,3,4,5,8,9,10,12,13,16,23,26,27,30,33,34,36,40,41,42,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,72,73,74],post:[16,23,52,56],postfix:[16,56],postpon:[16,57,65],postprocess:10,postscript:74,postul:27,potenti:[9,12,24,41,45,51,53,54,56,66,70],pottier:[7,16,23,56],poulin:16,poulsen:16,pow:[5,16,26],pow_div_l:58,pow_inv:16,pow_ipr:16,pow_n:10,pow_po:[16,70],power:[4,5,10,16,23,26,53,56,66,70,71],power_theori:10,powerrz:16,powerrz_inv:16,powerrz_mult:16,powerrz_neg:16,powerset:33,pp:[16,52],ppair:13,pphi_dev:10,pphi_dev_ok:10,ppm89:[23,76],pprod:13,pqequiv:56,pr1:13,pr2:13,pr:16,pr_numgoal:53,pr_p:56,practic:[2,3,5,8,16,23,24,31,33,38,41,52,54,56,57,63,65,70,76],pre:[2,16,24,52,59],preambl:74,preced:[16,24,26,28,45,53,56,57,59,65,74],preceed:63,precis:[4,8,12,16,23,25,28,30,32,33,34,36,38,45,50,56,63,70],precisionnotzero:8,precompil:[16,24,50,63],precondit:57,pred:[9,16,26,53,56,58,59],pred_class:16,pred_doubl:16,pred_n:16,pred_oapp:16,pred_sn:26,pred_sort:16,predecessor:26,predefin:[10,23,24,50,51,65],predic:[3,9,16,23,24,25,26,29,33,39,41,53,63,76],predict:[8,13,16,54,63],predtyp:16,preexist:16,prefer:[7,16,24,33,50,52,56,57,58,61,65,70],preferenti:70,prefix:[2,3,9,10,13,16,23,26,27,33,34,37,39,40,43,50,51,53,56,57,58,63,65,66,70,74],preformat:74,preimag:16,preliminari:10,prelud:[2,16,24,28,50,65],premis:[16,23,27,34,56,59,65],prenex:56,preomega:16,preorder:[12,56,58],preorder_reflex:[12,58],preorder_transit:12,prepar:[16,23],prepend:[50,52,65],preproccess:16,preprocess:[10,16],preprocessor:[10,23],prerequisit:[16,52],presburg:23,prescrib:56,presenc:[8,16,23,33,43,45,56,63,71],present:[2,3,6,9,10,12,14,16,23,24,25,28,29,31,32,33,36,40,41,43,44,45,49,52,53,54,56,57,58,59,60,62,63,64,65,66,70,72,73,74,75],preserv:[2,5,13,16,23,28,29,33,41,54,56,63,66,70],press:[51,76],pressur:59,presum:[16,70],presuppos:[5,74],preterm:[9,16,54],pretti:[16,23,24,26,50,52,56,58,70],pretyp:[16,50,54],prevail:33,prevent:[12,16,28,33,40,41,50,52,53,56,63,70],preview:[2,51],previou:[2,3,4,8,9,10,12,14,16,23,26,28,30,33,36,39,44,45,50,51,52,53,54,56,58,61,63,65,66,70,73],previous:[12,16,27,33,37,51,53,56,58,70],prf_equiv:41,prim2sf:[26,35],prim:[16,70],primari:[51,53],primarili:[31,33,57,65],prime:[3,16,28,33,56],prime_decomp:56,prime_i:56,primfloat:[16,26,35,58,70],primfloatnot:16,primint63:[35,58,70],primit:[2,11,12,13,16,23,24,26,29,32,33,45,53,54,56,66],princ:16,princeton:16,princip:[16,23,33,56,71,76],principia:23,principl:[2,5,16,23,24,26,29,33,36,50,56,57,62,63,70,76],print:[2,5,6,8,10,11,12,16,23,24,26,28,30,33,34,35,37,38,40,41,50,51,52,56,57,59,61,63,65,66],print_list:54,printabl:[54,70],printconf:58,printer:[16,23,28,45,56,58,70],printf:16,prior:[16,50,53],prioriti:[8,12,16,36,45,51,56,58,65,70],privat:[12,13,16,24,28,29,33,36],private_:[16,58],probabl:[2,16,31,43,50,53,54,56,57,58,74],problem:[2,4,7,9,12,16,23,28,33,41,43,45,50,51,52,53,57,61,65,66],problemat:[39,54],proc:76,proce:[3,10,12,51,56,70],procedur:[3,4,10,16,23,24,53,56,59,61,63,76],proceed:[57,76],process:[9,10,13,16,23,24,25,29,31,34,40,41,50,51,52,54,56,57,58,59,63,65,66,74,75],processor:[16,26,35],prod:[2,16,25,26,33,45,61,66],prod_:56,prod_appvect:16,prod_curri:16,prod_curry_uncurri:16,prod_eqb:12,prod_eqb_obligation_1:12,prod_f_r0:16,prod_f_so:16,prod_ind:[26,33],prod_monoid:13,prod_of_sigt:16,prod_rec:[26,33],prod_rect:[26,33],prod_sigt_prod:16,prod_sind:[26,33],prod_uncurri:16,prod_uncurry_curri:16,prodimp:25,prodt_curri:16,prodt_uncurri:16,produc:[2,5,7,8,9,10,12,13,16,23,24,28,31,33,35,37,39,40,43,51,52,53,54,56,63,65,70,71,72,73,74],product:[2,3,5,10,12,13,16,23,25,26,27,33,35,38,39,45,53,54,56,58,59,63,65,66,70],prof:52,profil:[5,16,24,52,63],program:[0,1,3,4,5,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],program_branch_0:[9,12],program_branch_1:[9,12],program_branch_2:12,program_scop:16,program_simpl:9,programm:[3,23,24,64],programmat:12,progress:[3,16,23,24,50,51,54,65,76],progress_evar:16,proj1:[26,65],proj1_sig:[16,45,56],proj2:26,proj:[16,23,53],project:[3,9,11,12,13,14,16,23,24,26,28,29,33,39,41,50,51,53,54,56,58,71,72,73,75],projections2:26,projs1:23,projs2:23,projt1:[16,26],projt2:26,projt3_eq:16,prolog:[16,23,59],prompt:[16,23,51,53,58],prone:[54,56],proof:[2,3,6,7,9,10,12,16,23,25,26,28,29,32,33,35,36,37,38,39,41,42,43,50,51,52,54,58,60,61,63,66,71,72,73,74,75,76],proof_admit:16,proof_irrelev:33,proofgener:52,prooftre:[16,58,65],proofview:54,prop:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],propag:[3,10,16,40],propbinop:5,proper:[3,9,16,23,54,58,66],proper_prf:16,properli:[2,8,9,16,28,51,52,56,58,65],properti:[3,4,6,9,10,11,12,16,23,24,25,26,29,30,31,33,37,38,41,44,45,56,57,66,71,76],propextension:16,propop:5,proport:63,propos:[16,23,33,53],proposit:[2,3,5,16,23,24,25,27,28,29,30,31,32,33,38,39,50,56,57,61,63,65,66,76],propositionnel:76,propr:23,propuop:5,prose:16,protect:[10,16,29,56],protocol:[16,76],protonmail:16,prototyp:[9,16,23],provabl:[5,10,16,33,38,56,57,65],prove:[3,5,7,8,9,10,16,23,24,26,29,31,33,34,41,42,56,57,59,61,63,66,71,76],proven:[10,16,51,57,63,65,66],prover:[5,16,23,24,54,64],provid:[2,5,6,7,8,9,10,11,12,13,14,15,16,23,24,25,26,28,29,31,32,33,34,35,36,40,41,42,43,50,51,52,53,54,56,57,58,59,61,62,63,64,65,66,70,71,72,73,74],provis:61,prune:[37,56],ps:74,psatz:[16,24],psatzadd:5,psatzc:5,psatzin:5,psatzmul:5,pseudo:[16,56,59],psnd:13,psubn:26,publi:76,public_nam:52,publicli:16,publish:[23,52,76],puech:16,puf:76,pull:[16,54],pun:[16,54],punctuat:[70,74],pure:[3,7,10,16,54,56,63,70,71,74],purifi:16,purpos:[8,11,13,16,23,26,33,34,41,50,51,53,54,56,58,65,66,70],push:[2,56,70],put:[3,5,12,13,16,34,42,50,52,53,56,57,58,59,65,66,70,71,74],putnam:23,puzzlement:23,pv:[9,76],pwd:2,px:[10,23,56],py:16,python2:16,python3:16,python:[16,52],pzero:26,q1:[5,12,45,56],q2:[5,56],q2p:56,q2r:[5,56],q3:56,q4:56,q:[2,3,5,7,10,11,16,23,26,33,34,45,50,52,53,54,56,57,58,66,70,74],q_1:[7,33],q_:7,q_factordenom:16,q_factornum:16,q_factornum_l:16,q_i:[7,33],q_l:33,q_occurr:54,q_orient:54,q_r:33,q_reduce_fl:16,q_rewrit:54,q_scope:[5,70],q_u:33,q_with_bind:54,qarchimedean_power2_po:16,qarchimedeanexp2_po:16,qarith:[5,16],qarith_bas:16,qc:70,qc_scope:70,qcanon:10,qden:16,qden_cancel:16,qed:[3,5,6,8,9,11,12,13,16,23,28,31,33,35,37,39,41,50,51,53,56,57,58,59,61,63,65,66,71],qeq_from_part:16,qeval_formula:5,qextra:16,qhyp:54,qinv_neg:16,qinv_po:16,qinv_swap_neg:16,qinv_swap_po:16,qle_neq:16,qlt_leneq:16,qm:12,qmicromega:5,qmult_frac_l:16,qmult_inject_z_l:16,qmult_inject_z_r:16,qmult_le_lt_compat_po:16,qmult_lt_le_compat_nonneg:16,qnum:16,qnum_cancel:16,qopp_lt_compat:16,qpower_0_lt:16,qpower_1_l:16,qpower_1_le_po:16,qpower_1_lt:16,qpower_1_lt_po:16,qpower_decomp:16,qpower_decomp_po:16,qpower_le_1_increas:16,qpower_le_compat:16,qpower_le_compat_inv:16,qpower_le_compat_l:16,qpower_le_compat_l_inv:16,qpower_lt_1_increas:16,qpower_lt_compat:16,qpower_lt_compat_inv:16,qpower_lt_compat_l:16,qpower_lt_compat_l_inv:16,qpower_pos_lt:16,qr:45,qreduce_l:16,qreduce_num_l:16,qreduce_r:16,qreduce_zero:16,qround:16,qtautocheck:5,qtautochecker_sound:5,quad:5,quadrat:[2,16],qualid:[2,4,5,10,12,13,16,28,34,36,38,39,40,41,45,50,53,54,56,58,59,61,63,65,66,70,71,73],qualid_annot:[27,28,43],qualifi:[2,16,23,24,27,31,50,52,53,54,56,57,58,63,65,70],qualiti:[13,16],quantif:[2,3,4,12,13,23,25,26,27,59,66],quantifi:[8,13,16,23,24,25,27,33,38,43,56,57,61,66],quarkcool:16,quasi:56,quentin:16,queri:[16,24],query_command:[28,58,63],query_extra_dep:58,question:[24,33,53,54,56,59,65],quick:[8,12,16,23,26,53,56,65],quickli:[8,15,16,24,43],quicksort:23,quiet:74,quinn:16,quirk:51,quit:[2,3,10,12,16,24,33,41,53,54,56,59],quo_rem_un:56,quodlibet:[16,57],quot2:16,quot:[2,5,16,23,24,27,28,43,50,54,58,65,70,74],quot_rem:16,quot_rem_to_equ:[5,16],quotat:[16,23,24,65,74],quoted_str:52,quotient:[2,5,16,39,56,63],qux_plugin:52,qwit:5,qzero_eq:16,r0:[5,16],r1:[3,5,16,26,40,43,56,58],r2:[3,16,26,40,43,56,58],r3:56,r4:56,r:[2,3,5,7,9,10,12,13,16,23,26,27,33,34,36,40,43,50,52,53,56,57,58,63,66,70,71,74,76],r_1:3,r_2:3,r_dist:16,r_forest_size_complet:71,r_forest_size_correct:71,r_ifp:16,r_inj:16,r_item:56,r_pattern:56,r_plus_complet:[56,71],r_plus_correct:[56,71],r_prefix:56,r_s_inv:27,r_scope:[10,26,70],r_sqr:23,r_step:56,r_tree_size_complet:71,r_tree_size_correct:71,ra:12,rab:26,rabs_inv:16,race:16,raci:16,radboud:16,radd:10,radd_0_l:10,radd_assoc:10,radd_sym:10,radicalmax:7,radix3:70,radix3_ind:70,radix3_rec:70,radix3_rect:70,radix3_scop:70,radix3_sind:70,radix:[8,65],radixmorethanon:8,radixmorethanzero:8,radixnotzero:65,radziuk:16,railroad:23,railroadcross:23,rais:[2,3,12,16,28,34,53,54,63,71],rakam:[16,63],ralf:16,ram:16,ramachandra:16,ramkumar:16,ran:53,ranalysi:[16,23],ranalysis_reg:16,rand:16,randi:23,random:16,randomli:16,rang:[5,16,25,28,51,54,57,70],range_selector:53,rappli:[16,57],rard:76,rare:[10,16,65],rasmusson:16,rat:36,rat_bottom_nonzero:36,rat_irreduc:36,ratan:16,rather:[5,10,12,16,23,28,29,33,34,52,53,54,56,57,58,63,66,70],ratio:23,ration:[7,16,23,24,36,60,70],rational:[16,54,56],rauglaudr:[16,23],raw:[2,16,53,54,70],raxiom:16,rb:12,rbase:[10,16,23],rbox:11,rc:[16,23],rceil:5,rcl:33,rcomput:23,rdefinit:16,rdist:16,rdistr_l:10,rdiv:[3,5,26],rdiv_0_l:16,rdiv_0_r:16,rdiv_1_l:16,rdiv_1_r:16,rdiv_def:16,rdiv_diag:16,rdiv_diag_eq:16,rdiv_diag_uniq:16,rdiv_eq_compat_l:16,rdiv_eq_compat_r:16,rdiv_eq_reg_l:16,rdiv_eq_reg_r:16,rdiv_mult_distr:16,rdiv_mult_l_l:16,rdiv_mult_l_r:16,rdiv_mult_r_l:16,rdiv_mult_r_r:16,rdiv_neg_neg:16,rdiv_neg_po:16,rdiv_opp_l:16,rdiv_opp_r:16,rdiv_pos_cas:16,rdiv_pos_neg:16,rdiv_pos_po:16,re:[16,23,28,31,37,45,50,51,52,53,54,57,58,63,65],reach:[12,51,57],reachabl:70,reactiv:[8,16,58],read:[14,16,25,28,41,50,51,56,58,63,70,74],readabl:[2,16,23,28,52,56,63,70,74],reader:[3,10,23,28,30,41,56],readi:[16,50,56,59],readili:52,readm:[23,70],real:[2,3,7,10,23,24,33,45,52,65,66,70],realfield:10,realist:[2,41],realiz:[23,24,26,31],realli:[16,31,56],reappli:9,reason:[2,3,5,9,10,16,23,24,33,43,50,52,53,54,56,58,61,64,70,71,74,76],rebind:[5,16],rebuild:[12,16],rebuilt:52,rec:[2,16,23,34,53,54,74],recal:[45,54,63],recaptur:16,recdef:71,recent:[3,8,23,24,52,70],recheck:65,recip:[16,52],recogn:[2,4,5,8,10,16,23,28,33,45,50,51,54,61,66,70,74],recognit:[16,74],recommend:[4,8,12,13,14,16,31,34,45,50,51,52,53,54,56,57,58,59,63,65,66,71,73,74],recompil:[16,50,51,52,58,63],recomput:[33,52],reconstruct:[36,45],record:[2,3,8,10,11,12,13,16,23,24,29,32,33,41,53,54,56,58,59,61,66,70],record_definit:[4,12,29,33,36],record_field:[36,41],recov:[3,8,13,16,29,45,50,53,66],recover:54,recoveri:[8,16,51],rect:66,rectyp:16,recurr:24,recurs:[2,5,8,9,16,23,24,30,31,32,36,39,40,43,45,50,52,53,56,57,58,59,63,65,66,74,76],recursor:16,red:[8,16,50,51,53,63,65],red_expr:[3,16,31,53,63],red_flag:16,redeclar:[12,16],redefin:[4,16,53,54,56,65,70,74],redefinit:[16,53],redesign:[16,23],redex:[2,16,24,30,33,63,70],redflag:16,redirect:[16,58,74],redo:[16,51,56,66],reduc:[3,7,8,10,11,12,16,23,25,30,31,33,35,36,39,40,43,50,52,56,57,58,59,63,65,66,70],reduce_and_try_to_solv:53,reduct:[2,3,9,10,11,16,24,25,29,31,35,40,43,45,50,52,56,57,66,76],redund:[16,23,42,45,56],redux:2,ref:[16,58],refactor:[16,63],refer:[2,3,4,5,8,12,13,15,23,24,27,28,30,31,33,34,35,36,37,38,40,41,43,45,49,50,51,52,54,56,57,59,61,63,65,66,70,71,74],referenc:[52,70],reference_occ:63,refglob:54,refin:[6,12,13,16,23,26,29,31,33,34,37,42,45,51,53,54,56,57,65,70],refl:[3,16],refl_eq:23,refl_equ:[3,16,56],refl_ident:26,reflect:[9,10,13,16,23,24,26,39,51,52,61,63,65,71,76],reflect_fals:56,reflect_tru:56,reflectf:39,reflectt:[39,56],reflex:[3,5,6,10,12,16,23,26,33,35,50,53,56,58,59,61,63,65,66,70],reflexion:23,reflexive_eq_dom_reflex:58,reflt:45,refman:16,refold:[16,63],reform:16,reformat:16,refrain:16,refresh:70,refrom:[16,50],refus:[2,3,63],refut:[24,56],regard:[3,13,16,50,57],regardless:[13,16,56,65],regener:52,regexp:[16,59],region:56,regist:[2,3,4,5,7,9,10,12,16,24,31,41,56,63,66,70,71],registr:[16,24],regress:[8,16],regroup:16,regular:[9,12,16,35,45,50,54,56,59,63,74],regularli:16,rehaul:23,reifi:[5,16],reific:[7,16,63],reimplement:16,reimport:70,reinfer:43,reintroduc:[16,56],reject:[9,16,25,33,56,63,66,70],rel:[2,16,25,26,34,50,52,54,58,70],relat:[5,6,7,9,10,12,13,16,23,24,25,26,30,33,34,39,40,41,43,50,51,52,56,57,58,59,63,66,70,71,74],relation_definit:[3,12,16,58],relation_oper:16,relationclass:[3,16,63],relationship:[16,28],relaunch:16,relax:[2,16,29,43,52,56,59],releas:[12,14,16,23,24,50,51,52,56,73],releg:23,relev:[11,16,23,27,29,31,33,39,45,50,52,53,56,57,63,65,70],reli:[5,16,23,29,31,32,33,37,45,50,51,52,54,56,57,58,63,65,70],reliabl:16,relianc:16,reliev:23,reload:[50,58],reloc:23,relpr:16,rem:[5,16],remain:[2,3,9,10,12,13,16,23,33,38,40,41,43,45,51,56,57,65],remaind:[16,33,54],remap:70,remark:[4,16,23,24,31,33],remedi:[5,16],rememb:[16,51,56,57,74],remind:[2,3,56],remot:[16,51],remov:[2,3,4,5,10,13,16,23,28,30,36,40,45,50,51,52,54,56,57,58,59,65,66,70,71,73,74],remove_app:16,remove_con:16,remove_concat:16,remove_incl:16,remove_length_l:16,remove_length_lt:16,remove_remove_comm:16,remove_remove_eq:16,removelast_firstn_len:16,removelast_last:16,renam:[2,16,23,24,33,36,54,56,57,58,70,73],renard:[3,23],render:[16,23,74],renewcommand:74,renn:76,reopen:51,reorder:[16,24,51],reorgan:16,repair:[11,16],repars:[16,53,70],repeat:[3,16,24,42,43,51,54,56,57,58,65,66],repeat_app:16,repeat_con:16,repeat_eq_app:16,repeat_eq_con:16,repeat_eq_elt:16,repeat_to_concat:16,repeatedli:[16,30,56,70],repect:57,repetit:[24,53],replac:[2,3,4,7,9,10,12,16,23,24,27,30,31,33,36,40,42,43,45,50,51,52,53,54,56,57,58,61,63,65,66,70,73,74],replace_append_l:16,replace_append_r:16,replace_id:16,replace_replace_eq:16,replace_replace_neq:16,replace_with:54,replai:[10,56],replic:56,repo:52,report:[4,8,11,16,23,28,51,53,54,58,63,71,76],repositori:[16,52,62,73],repr:16,repres:[2,3,5,10,12,13,16,23,25,26,27,28,31,33,35,36,38,39,41,42,50,51,52,53,54,56,57,58,63,64,65,66,70],represent:[2,3,5,10,11,16,23,26,28,33,36,50,52,56,63,70],reprint:[16,65],reprocess:[51,53],reproduc:43,req:10,req_dec_t:16,req_em_t:16,request:[3,13,16,24,42,50,63],requir:[2,3,5,6,7,8,9,10,12,13,16,23,26,27,28,29,30,31,33,34,35,37,41,42,43,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71,72,73,74],required_vo:50,rerun:5,resack0:59,research:[23,76],resembl:56,reserv:[16,24,26,28,34,39,53,56,58],reserv_list:43,reset:[2,16,23,28,29,33,39,45,50,51,53,58,71],resg0:59,resg1:59,residu:[16,56],resili:[16,24],resilient_command:16,resiz:16,resolut:[3,12,16,23,24,57,59,65,74],resolv:[9,12,13,16,34,42,51,54,56,57,58,59,63,65,66,70],resolve_tc:16,resort:[42,51,53,54,66],resourc:50,resp:[5,16,33,35,45,56],respect:[2,3,4,5,8,10,12,13,16,23,25,26,29,33,37,39,41,43,51,53,54,56,57,58,59,63,65,66,70,71,73,74],respons:[2,16,51,54,74],rest:[2,3,12,16,25,26,28,35,41,51,56,65],restart:[16,50,51,52,53,56,65],restart_tim:[16,53],restor:[16,28,53,56,65],restrict:[2,3,9,11,13,16,23,25,33,34,39,50,53,56,57,58,59,61,66,70],restructur:[16,23],result:[2,3,4,5,8,10,11,12,13,16,23,25,26,30,31,33,38,39,41,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,74],resum:16,ret:53,retain:16,retract:16,retri:53,retriev:[16,50,53,58,59,76],retro:16,retyp:16,reunion:76,reus:[13,16,40,56,57,58,62,63,65],reusabl:24,rev:[26,70],rev_con:16,rev_eq_app:16,rev_inj:16,rev_nil:16,rev_repeat:16,rev_rev:16,rev_shiftin:16,revamp:16,revers:[7,14,16,24,26,40,56,57,65],reverse_coercion:[4,16],reversecoercionsourc:4,reversecoerciontarget:4,revert:[16,51,56,57,58],revgoal:16,review:[2,16,26],revis:[16,23,54],revisit:66,revolutionari:23,rew:[16,66],rew_iff_rev:56,rework:16,rewrit:[6,10,13,16,23,24,33,34,51,53,54,57,59,60,76],rewrite_occ:[3,63],rewrite_strat:[3,16],rewriterel:[3,16,56],rewritten:[3,9,10,23,29,45,56,57,63],rewrot:[10,16],rewstrategi:[3,16],rewstrategy0:3,rewstrategy1:[3,16],rexists_between:16,reynald:16,rfloor:5,rfrom:[16,50],rfunction:23,rgb:50,rge:[16,26],rge_gt_or_eq:16,rge_gt_or_eq_dec:16,rge_l:16,rge_lt_dec:16,rge_refl:16,rgeom:23,rgt:[16,26],rgt_le_dec:16,rgt_minus_po:16,rgt_or_l:16,rgt_or_not_gt:16,rh:[16,54,56,58],ri:[10,16,50],ribbon:51,rich:[9,16,56,72],richard:16,richer:[12,24],ricki:16,rid:[9,16,53,56],rideau:[16,56],rieg:16,rifrom:[16,50],right:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],righta:70,rightarrow:[5,7,25,74],rightarrow_:[10,36],rigid:[3,12,13,16,23,59,71],rigor:[2,23],rin:16,rineq:16,ring31:16,ring:[7,16,23,24,26,36,60,61],ring_eq_ext:10,ring_mod:10,ring_morph:10,ring_plugin:[3,5,9,10,26,28,35,41,42,53,54,56,57,58,59,63,65,71],ring_polynom:10,ring_simplifi:[10,16],ring_theori:10,ringer:16,ringmicromega:5,rinv:[5,26],rinv_0_lt_contravar:16,rinv_div:16,rinv_eq_compat:16,rinv_eq_reg:16,rinv_inv:16,rinv_lt_0_contravar:16,rinv_mult:16,rinv_mult_simpl:16,rinv_neg:16,rinv_opp:16,rinv_po:16,rinv_r_simpl_l:16,rinv_r_simpl_m:16,rinv_r_simpl_r:16,ripault:16,rise:[12,23],risk:[16,23,50,58,65],rl:33,rle:[16,26],rle_epsilon:16,rle_gt_dec:16,rle_half_plu:16,rle_lt_or_eq:16,rle_or_gt:16,rle_or_not_l:16,rle_rinv:16,rlength:16,rlist:16,rlogic:16,rlt:[16,26],rlt_0_2:16,rlt_0_minu:16,rlt_ge_dec:16,rlt_half_plu:16,rlt_minus_0:16,rlt_monotony_contra:16,rlt_monotony_rev:16,rlt_or_g:16,rlt_or_not_lt:16,rlt_rminu:16,rmin_cas:16,rminu:[5,26],rminus_def:16,rminus_diag:16,rminus_eq_0:16,rminus_eq_compat_l:16,rminus_eq_compat_r:16,rminus_gt_0_lt:16,rminus_plus_distr:16,rminus_plus_l_l:16,rminus_plus_l_r:16,rminus_plus_r_l:16,rminus_plus_r_r:16,rmp:57,rmul:10,rmul_1_l:10,rmul_assoc:10,rmul_sym:10,rmult:[5,10,26],rmult_div_assoc:16,rmult_div_l:16,rmult_div_r:16,rmult_div_swap:16,rmult_gt_reg_r:16,rmult_inv_l:16,rmult_inv_m_id_r:16,rmult_inv_r:16,rmult_inv_r_id_l:16,rmult_inv_r_id_m:16,rmult_inv_r_uniq:16,rmult_neg_cas:16,rmult_neg_neg:16,rmult_neg_po:16,rmult_pos_cas:16,rmult_pos_neg:16,rmult_pos_po:16,rnm:57,ro:10,road:16,roadmap:16,robbert:16,robbiano:76,robert:[16,76],robin:[16,76],robinson:23,robust:[2,16,50,56,59,65,74],robustli:63,rocquencourt:[16,23],rodi:16,rodolph:16,roi:[53,61,76],role:[16,25,32,41,54,70,74],romega:[16,23],root:[3,16,24,26,45,50,58],ropp:[10,26],ropp_def:10,ropp_div:16,ropp_div_distr_l:16,ropp_eq_reg:16,ropp_minus_distr:16,ropp_neg:16,ropp_po:16,roquencourt:23,ros98:[9,76],rosetta:53,rosser:76,rotat:[23,53,56],round:[5,16,26,52],rousselin:16,routin:2,roux:16,row:[16,45],rplu:[5,26],rplus_0_l_uniq:16,rplus_eq_0:16,rplus_eq_r0:16,rplus_ge_reg_r:16,rplus_gt_reg_r:16,rplus_int_part_frac_part:16,rplus_le_lt_0_neq_0:16,rplus_minus_assoc:16,rplus_minus_l:16,rplus_minus_r:16,rplus_minus_swap:16,rplus_neg_lt:16,rplus_neg_neg:16,rplus_neg_npo:16,rplus_nneg_g:16,rplus_nneg_nneg:16,rplus_nneg_po:16,rplus_npos_l:16,rplus_npos_neg:16,rplus_npos_npo:16,rplus_pos_gt:16,rplus_pos_nneg:16,rplus_pos_po:16,rplus_sqr_eq_0_l:16,rpow:10,rpow_pow_n:10,rpower:16,rr:76,rrika:16,rs:16,rs_r:16,rsa:23,rsigma:23,rsqr:16,rsqr_def:16,rsqr_div:16,rsqr_inv:16,rstar:[16,23],rstep:56,rstrength:16,rsub:10,rsub_def:10,rta:76,rtac:54,rtauto:[16,61],rtran:57,rtrigo:23,rtrigo_calc:16,rudi:16,rudimentari:70,rug:54,rule:[3,4,5,10,11,12,13,16,23,24,28,31,32,34,35,36,38,40,41,43,45,50,52,53,54,57,58,59,61,65,66,76],run:[2,5,8,9,12,13,16,23,24,28,50,52,56,58,59,63,65,70,72],runbox:11,runtim:[16,50,54,72],rushbi:76,russel:[9,16,23],rusu:71,rwf:26,ryan:16,s0:[42,45],s1:[3,29,37,56],s2:[3,29],s754_finit:26,s754_infin:26,s754_nan:26,s754_zero:26,s:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],s_1:[7,33,34],s_2:[33,34],s_3:34,s_:[7,33],s_i:[5,7,33],s_item:56,s_j:33,s_k:33,s_nat:4,s_o_plus_inr_depr:16,sacerdoti:[3,16,23],safe:[2,10,16,33],safeimplicit:2,safer:[16,23],sai:[2,3,4,16,23,25,26,27,28,30,33,41,51,52,53,54,56,57,63,70,73],said:[3,4,16,25,33,35,41,43,54,58,70],saikawa:16,sakaguchi:16,sake:[34,54,65,70],salient:[16,23],sam:[16,76],same:[2,3,4,8,9,10,11,12,13,16,23,24,25,27,28,29,30,33,34,35,36,37,39,40,41,42,43,50,51,53,54,56,57,58,59,61,63,65,66,70,71,74],samuel:[10,16,23],san:74,sandrin:76,santiago:16,satifi:33,satisfi:[3,4,5,8,10,12,13,16,29,33,34,53,54,58,63,66,70],satur:[5,16],save:[8,10,16,24,34,50,52,56,65],saw:23,sc:23,scale:[16,23,50,56,63,70],scan:53,scene:56,schedul:[8,16],schema:23,schemat:[51,56],scheme:[2,10,16,23,24,25,26,33,36,39,45,50,56,58,61,76],scheme_kind:66,scherer:16,schneider:16,schommer:16,schroeder:23,scienc:[23,76],scientif:[23,76],scinart:16,scope:[5,10,16,23,24,26,28,31,35,37,41,42,44,51,53,54,56,58,59,63,65],scope_kei:[39,54,58,63,70],scope_nam:70,scott:[16,23],scratch:51,screen:[16,51,58],screenshot:[51,65],script:[5,8,16,23,24,34,41,42,52,53,54,56,57,58,59,62,63,65,72],scrutine:16,sdf:76,seamlessli:52,search:[2,3,4,5,7,12,16,23,24,41,43,50,51,52,60,61,63],search_item:58,search_queri:58,searchabout:[16,23],searchhead:16,searchiso:23,searchpattern:[16,23],searchrewrit:[16,23],sebastiaan:76,sec:[52,53,63],second:[2,3,4,6,8,9,10,12,14,16,23,24,25,27,34,36,37,39,41,43,50,51,52,54,56,58,59,63,65,66,70,74],secondari:[51,52],secondli:[2,16],section:[3,6,7,8,9,10,11,16,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,45,50,51,52,53,54,56,57,58,59,63,64,66,70,73],section_path:58,section_var_expr0:65,section_var_expr50:65,section_var_expr:[59,65],secur:50,see:[2,3,4,5,7,8,9,10,11,12,13,16,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],seem:[2,5,16,70],seemingli:70,seen:[2,4,12,13,16,23,31,33,54,56,66,70],seg:23,segfault:16,segment:[2,23,51,58,70],seldin:76,select:[8,12,16,24,34,36,40,41,51,52,53,54,57,58,59,63,65,66,70,74,76],selector:[8,16,24,42,52,57,58,63,65],self:[13,16,53,54,66,70],selfid:13,selfpid:13,semant:[3,10,12,13,16,23,24,25,28,34,35,38,40,43,52,53,56,57,70,76],semeria:16,semi:[4,10,16],semi_field_theori:10,semi_morph:10,semi_ring_theori:10,semicolon:[51,52,56],semidecis:23,semifield:10,semir:[10,16],sempti:11,sempty_ind:11,sempty_rec:11,sempty_rect:11,sempty_sind:11,send:16,sens:[4,23,25,29,53,54,56,70],sensibl:[13,23],sensit:[16,23,28,58],sent:51,sentenc:[16,23,28,35,51,53,54,56,58,74],sentence_1:23,sentence_n:23,sep:70,separ:[2,3,13,16,23,24,25,28,32,33,34,39,43,45,50,51,52,53,54,56,57,58,66,70,73],septemb:[16,23,76],seq:[11,12,29,45,54,56,66],seq_:16,seq_ind:[11,45],seq_rec:[11,45],seq_rect:[11,45],seq_sind:[11,45],seqseri:23,sequenc:[2,3,5,16,23,24,26,27,28,29,45,50,56,57,58,59,63,65,70,74],sequent:[53,56,57,61,76],sequenti:[16,53,54,57,63],serapi:28,sergei:16,seri:[24,26,28,34,53,56],serial:[57,66],serif:74,seriou:[16,70],serv:[16,23,24,25,39,54,56,59],server:[16,51],session:[2,16,50,51,58],set1:25,set2:25,set:[0,1,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,26,27,29,30,31,32,33,34,35,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,58,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76],set_diff_nodup:16,set_eq:3,set_map:16,set_p:33,seth:16,setistyp:16,setoid:[7,10,16,23,24,41,56],setoid_:[3,16],setoid_reflex:16,setoid_replac:[16,23,63,70],setoid_rewrit:[3,16,23,59,63],setoid_symmetri:16,setoid_theori:[10,16],setoid_transit:16,setoidchoic:16,setoidlist:16,setoidpermut:16,setoidtact:[16,70],setting_nam:[28,50],setup:[16,24],seventh:76,sever:[2,3,4,5,10,16,23,24,25,27,28,29,30,31,33,39,41,43,45,50,51,53,54,56,58,59,63,64,66,70,71,74,75],sf64mul:[26,35],sf:71,sf_1_neq_0:10,sf_sr:10,sfclassifi:16,sfdiv_def:10,sfinv_l:10,sfst:11,shachar:16,shachnev:16,shade:51,shadow:[13,16,43,65],shaji:16,shall:[16,23,25,30,33,38,41,56,70],shankar:76,shao:76,shape:[2,3,56],share:[10,12,13,16,23,27,28,33,45,50,51,52,56,58,59,63,66,70],she:[23,54],sheet:74,shelf:[16,65],shell:[8,50,52,56,58,74],shelv:[6,12,16,24,42,56,57],shelve_unifi:[16,57],shen:16,shenlebantongi:16,shift:[16,51,56],shiftl:16,shiftr:16,shine:56,shinnar:16,ship:[16,65],shiwei:16,shortcut:[12,16,51,54,56,63,70],shorten:[16,27],shorter:[16,30,34,56,58],shortest:34,shorthand:[16,40,53,56,63],should:[2,3,8,9,10,11,12,13,16,23,25,28,29,31,33,34,37,39,40,41,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,73],shouldn:[52,53,74],show:[2,3,5,7,8,9,10,12,13,16,23,24,26,33,36,37,41,50,51,52,53,56,57,58,59,63,66,70],show_profil:16,show_zifi:5,shown:[5,9,12,13,16,26,28,30,33,36,37,41,42,50,51,52,53,56,57,65,70,74],shrink:[16,65],shuffl:56,sibut:16,siddharth:16,side:[3,12,13,16,23,24,26,31,33,34,37,42,51,53,54,56,57,59,61,63,66,70],sig2:[16,26,34,66],sig2_ind:26,sig2_rec:26,sig2_rect:26,sig2_sind:26,sig:[2,16,26,34,66,70],sig_ind:26,sig_rec:26,sig_rect:26,sig_sind:26,sigact:76,sigma:[13,16,36,66,70],sign:[5,8,10,16,28,35,45,51,52,59],signal:[8,16,56],signatur:[2,3,10,16,23,33,34,53,54,58],signature_scop:16,signaturet:16,signific:[16,23,50,65],significantli:[10,16,23,56,65],sigplan:76,sigt2:[16,26,66],sigt2_ind:26,sigt2_rec:26,sigt2_rect:26,sigt2_sind:26,sigt:[16,26,66,70],sigt_ind:26,sigt_of_prod:16,sigt_of_sigt2:16,sigt_prod_sigt:16,sigt_rec:26,sigt_rect:26,sigt_sind:26,sigtnot:16,sigurd:16,sile:16,silenc:[4,16,23,40,45,56,61,73],silent:[11,13,16,23,28,50,52,58,65,71],similar:[2,3,5,9,12,16,23,25,26,33,34,36,37,50,52,53,54,56,57,58,59,61,63,65,66,71,73,74],similarli:[9,12,13,16,25,27,35,37,41,43,45,51,52,53,54,56,61,63,70,74],simon:[16,76],simonbouli:16,simpl:[3,4,10,16,23,24,28,36,40,41,42,45,51,52,53,56,57,58,59,61,66,71],simpl_depind:66,simpl_rel:[3,16],simple_bind:66,simple_intropattern:[16,54,57,66,70,71],simple_intropattern_clos:57,simple_occurr:[57,59,63],simple_reserv:43,simple_tact:[23,53],simpler:[16,23,56,57,61,63],simplest:[54,56],simplex:16,simpli:[3,4,10,12,13,16,23,30,38,53,54,56,58,61,66,70,74],simplic:[34,53],simplif:[2,10,16,23,24,40,53,66],simplifi:[2,10,16,23,40,53,56,66],simplify_dep_elim:66,simplify_eq:[16,23,66],simplify_typ:53,simplify_type_eq:53,simplist:41,simpson:23,simul:[3,16,23,56,65],simultan:[3,16,23,24,25,29,31,33,41,52,56,57],sin3pi4:16,sin:16,sinc:[2,3,4,5,8,10,11,12,13,16,23,25,29,33,34,36,40,41,43,45,50,51,52,53,56,57,58,59,63,65,66,70,73,74],sine:16,singhal:16,singl:[2,3,4,8,12,13,16,23,24,27,28,29,33,34,36,39,43,45,51,52,54,56,57,58,59,63,65,66,70,74],single_z_r_r1_depr:16,singleton:[2,12,16,23,33,53,57],sint63:[16,35],sint63_scop:35,siromonei:[23,76],site:54,situat:[3,4,10,16,45,53,56,70],sixth:16,sizabl:56,size:[2,3,9,12,16,23,33,36,50,54,56,58,63,70,71],sizef:33,sizet:33,skeleton:9,skip:[8,16,40,41,45,50,52,53,56,57,63,65,66],skipn:16,skipn_non:16,skipn_skipn:16,slant:74,slash:[16,56],slave:50,slexprod:16,slider:51,slight:[2,16,23,57],slightli:[3,16,23,34,50,51,53,56,57,66],slow:[3,10,52,53,54],slowdown:16,slower:[16,50,59,61],slowest:52,slowli:53,slrnsc:16,small:[3,5,8,10,13,16,24,25,26,32,33,38,41,43,51,52,56,63],smaller:[3,10,13,16,31,32,33,52,57,61,66,71],smallest:[3,5,26,33,66],smart:16,smart_glob:70,smarter:16,sml:23,smooth:[23,56],smorph0:10,smorph1:10,smorph_add:10,smorph_eq:10,smorph_mul:10,snd:[16,23,26,34,41,45,70],snippet:[54,74],snoc:66,snyke7:16,so08:[12,76],so:[2,3,4,7,8,9,10,11,12,13,16,23,25,26,28,30,31,33,34,35,36,37,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,72,73,74],societi:76,socket:16,soegtrop:16,soft:[24,71],softwar:[16,23,24,58,76],sogetrop:16,solut:[3,5,12,16,41,43,57,58,62,66],solv:[2,3,5,7,10,12,16,23,24,38,41,43,56,59,60,61,63,66],solvabl:[16,57,61],solve_constraint:65,solve_iso:53,solve_iso_ex1:53,solve_iso_ex2:53,solve_perm:53,solve_type_eq:53,solver:[9,16,24,64],some:[3,4,5,6,8,9,10,11,12,13,16,23,24,25,27,28,29,30,31,33,36,37,39,40,41,43,44,45,50,51,52,53,54,56,57,58,59,60,61,62,63,65,66,70,71,72,74],some_class:16,some_const:41,some_term:16,somehow:45,someon:16,someth:[16,30,36,51,52,53,54,58,63],sometim:[13,16,23,24,30,33,45,52,53,54,56,58,59,65,66,70],somewhat:[54,63,70],soon:[8,9,16,23,51,53,56],sop:23,sophia:[16,23],sort:[0,1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],sort_famili:[66,71],sortclass:[4,16,56,70],sorted_sort:16,soubiran:16,sought:45,sound:[2,16,33],sourc:[2,4,5,23,24,50,51,52,54,56,58,70,72],source_date_epoch:16,soz07:[9,76],sozeau:[3,9,13,16,76],sp1:16,space:[3,16,28,51,52,56,58,65,70,74],space_overhead:50,span:16,spanjel:16,spawn:[16,53],speak:[5,10],spec:[5,16],spec_float:26,special:[2,3,4,9,11,12,15,16,23,24,26,27,28,33,50,51,52,53,54,58,59,63,65,66,70,74],specialist:16,specif:[2,3,5,9,10,23,27,30,31,33,34,35,38,39,41,50,51,52,54,56,57,58,59,60,63,65,66,70,76],specifi:[2,3,4,5,6,8,9,10,12,16,23,24,26,27,28,31,33,34,35,36,39,40,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,74],spectacular:23,speed:[3,12,16,23,33,63],spell:16,spent:[16,50,52,53],sphinx:16,sphinx_rtd_them:16,sphinxcontrib:16,spirit:[16,33,54],spite:16,spitter:16,spiwack:16,splay_ar:16,split:[2,16,24,26,28,33,41,50,53,56,57,59,65,66,74],split_combin:16,split_rab:26,split_rmult:26,splitabsolu:23,splitat:16,splitrmult:23,spontan:56,spot:54,spr1:11,spr2:11,spread:52,spring:23,springer:76,sprod:11,sprop:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],spuriou:[4,16,56,70],spurious:16,sqrt:[16,26,58],sqrt_inv:16,squad:2,squar:[5,16,23,43,53,58,70,74],squash:[11,13,16],squash_ind:13,squash_prop_rect:13,squash_prop_srect:13,squash_sind:13,sradd_0_l:10,sradd_assoc:10,sradd_sym:10,src:[4,52],srdistr_l:10,srefl:[11,45],sring_eq_ext:10,srinivasan:16,srmul_0_l:10,srmul_1_l:10,srmul_assoc:10,srmul_sym:10,ssig:11,ssnd:11,ssort:4,ssr:[16,56,58,65],ssr_binder:56,ssrautoprop:56,ssrbool:[16,56],ssreflect:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],ssreflect_plugin:56,ssrfun:[16,56],ssrhave:[16,56],ssrident:56,ssripat:56,ssripat_scop:56,ssrmatch:[16,56],ssrmatching_plugin:56,ssrnat:56,ssroldrewritegoalsord:56,ssrrewrit:56,ssrsearch:16,ssrsyntax:56,sstuff:4,stabil:16,stabl:[8,16,23,52],stack:[16,24,40,53,54,56,58,70],stage:[16,33,41,54,65],stai:[2,26],stale:[8,16],stalmarck:[2,23],stand:[5,6,16,23,25,27,33,52,70],standalon:[16,50],standard:[2,3,5,9,13,24,28,34,35,39,50,51,52,53,57,58,61,63,64,65,66,71,72,73,74],stanza:52,star:[16,59,61],starred_ident_ref:65,start:[2,3,8,9,12,16,23,24,25,26,28,31,33,34,36,39,40,41,43,45,51,52,53,54,57,58,59,63,65,66,70,74],start_profil:16,startup:[11,50,52,59],stat:65,state:[2,3,5,7,8,10,12,16,23,24,26,28,30,31,36,50,51,53,54,56,57,58,61,63,66,70],statement:[8,9,16,23,27,31,32,40,41,43,50,56,57,58,63,65,66,70],station:16,statist:[5,16,65],statu:[8,11,12,13,16,50,51,52,53,56,70],std:[16,54],stdlib:[16,26],stdout:[16,74],steckler:16,stefan:16,stell:16,stem:16,stengl:16,step:[3,5,7,10,12,16,23,24,25,28,40,50,51,52,53,57,59,63,64,66],stepanenko:16,stephan:16,stepl:[16,63],stepr:[16,63],stick:54,sticki:23,still:[2,3,7,9,12,16,23,28,31,33,35,36,37,41,43,45,50,52,53,54,56,57,58,59,63,65,66,73],stm:16,stmaryrd:74,stock:16,stolz:16,stone:53,stop:[3,5,11,16,23,31,37,51,53,56,70],stop_profil:16,store:[8,16,51,52,56,58,59],stori:29,storm:16,str:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],straightforward:[3,54],straightforwardli:3,strat:3,strategi:[7,9,12,16,23,24,25,54,56,59,70,76],stratego:[3,76],strategy_level:[63,70],strategy_level_or_var:[63,70],stratif:23,stream:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],stream_eta:29,stream_ext:29,streamlin:[16,23],strength:23,strengthen:[16,34,56,66],strict:[2,5,12,13,16,23,24,30,38,40,41,53,56,57,58,59,65,70],stricter:[12,13,16],strictli:[8,10,13,16,40,56,70],strictprop:[11,16],strikeout:65,string:[2,10,13,16,24,26,28,39,41,50,52,53,54,56,58,63,65,73,74],string_as_ot:16,string_scop:[16,41,70],stringsyntax:16,strip:[16,57],strong:[16,23,26,30,33,63,66,76],stronger:[3,11,16,33],strongli:[10,14,16,33,34,43,52,53,56,58],strub:16,struct:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],structur:[2,3,4,8,9,12,16,23,24,26,31,33,34,35,36,39,43,44,52,53,54,57,58,65,66,70,71,76],stt:11,stuck:[11,12,16],studi:[23,30],stuff2:52,stuff:[23,52,74],style:[6,16,23,24,29,36,51,54,56,61,66],suarez:23,sub:[2,4,8,16,26,35,45,50,52,53,56,59,66,70],sub_equ:71,subcas:[39,74],subclass:[4,12,26,38,41,58],subcompon:[16,50],subdir:[16,50,52],subdirectori:[16,26,50,52,58,59],subequ:66,subexpress:[53,57,70],subgoal:[5,10,12,16,23,24,26,53,56,57,59,61,63,66],subgraph:[13,16],subject:[16,24,25,29,30,49,50,71],sublemma:16,submak:52,submit:[23,26],submodul:[16,34],subnk:56,subnn:56,subpackag:58,subpart:53,subpattern:[24,53,54],subprocess:16,subproof:[16,33,65],subrel:[16,24],subscript:28,subsecond:52,subsect:[16,23,33,41,74],subsequ:[8,13,16,28,36,37,50,53,54,57,58,65,66,70],subsequent_lett:28,subset:[5,9,16,23,24,33,38,43,54,56,57,65,70,76],subset_bi:70,subst:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],substitut:[10,16,23,24,25,33,37,45,50,54,56,57,63,66,70],substr:[16,58],substructur:[16,24],subsum:[8,16,56],subsystem:[16,23],subterm:[3,9,10,16,23,24,30,33,40,53,54,56,57,58,63,65,66,70,71],subtim:50,subtitl:74,subtract:[5,56],subtyp:[4,9,13,16,24,30,34,38,76],succ:[2,23,53,58,63],succ_doubl:16,succ_po:16,succe:[2,3,12,16,24,43,45,50,54,56,57,58,59,61,63,65],succeed:[3,16,53,58,71],success:[2,3,4,5,12,16,23,24,33,50,51,54,56,58,59,61,63,65,66,73],successfulli:[12,50,51,53,56,61,62],successor:[33,38],succinct:54,suchthat:6,suddenli:54,sudha:16,suff:[16,24],suffic:[51,56],suffici:[3,5,10,12,52],suffix:[3,16,34,50,51,52,53,56,58,70,74],sugar:[2,7,16,53,54,58,76],suggest:[10,16,23,24,33,50,51,52,56,65],suit:[2,16,52,56,57,62],suitabl:[16,40,51],sum:[10,16,23,26,39,54,61,66,70],sum_:[5,7,56],sum_ind:[23,26,70],sum_inequa_rle_lt_depr:16,sum_rec:[26,70],sum_rect:[26,70],sum_sind:[26,70],sumbool:[2,26,45,70],sumbool_ind:26,sumbool_rec:26,sumbool_rect:26,sumbool_sind:26,sumlist:56,summar:[10,50,56,65],summari:[24,45,50,74],summaris:56,summat:56,summer:23,sumor:[26,70],sumor_ind:26,sumor_rec:26,sumor_rect:26,sumor_sind:26,sumxxx:56,sun:23,sunit:11,sunit_rect:11,sup:23,superclass:24,superflu:[16,23],superieur:16,superpos:45,superposit:45,supersed:16,supervis:[16,23],supplement:16,suppli:[16,36,56,61],support:[2,3,4,5,6,8,9,10,12,13,16,23,24,26,29,31,33,34,36,39,40,41,43,50,52,53,54,56,58,59,61,63,65,70,71,73,74,75],suppos:[3,9,16,50,54,56,63],suppress:[56,74],sure:[2,4,16,34,51,52,57,70],suresn:23,surgic:56,surject:[10,36],surma:16,surpass:16,surpris:57,surround:[3,43,56,58,70],survei:[23,24],surviv:[16,23,59,70],suspend:[12,16,65],sustem:58,sven:16,swap:[2,16,53,56,57],swasei:16,sweet:54,sy:52,syllabu:23,sylvain:76,sylvi:23,sym:[3,16,43],sym_equ:56,symbol:[2,3,10,13,16,23,24,26,27,28,30,40,41,42,45,56,59,61,63,66,70,74,76],symmetr:[3,16,23,30,58,63,70],symmetri:[3,16,23,33,43,56,59,63],symposium:[23,76],symptom:16,syn_valu:53,sync:16,synchron:[16,23,51],synonym:[16,28,36,50,56,57,63],synopsi:[24,52],syntact:[2,3,10,16,23,24,25,26,28,29,30,33,34,36,38,40,56,57,58,65,70,73],syntax:[2,4,5,8,9,10,12,13,24,25,26,29,31,33,34,36,38,39,40,41,42,44,50,51,52,57,58,59,62,63,65,74,76],syntax_modifi:[16,70],synth:[45,58],synthes:[4,16,23,26,27,41,45,76],synthesi:[16,23,43],synthesiz:45,synthet:23,system:[3,8,9,10,16,23,24,25,26,27,28,31,32,33,37,38,45,50,51,52,53,54,56,58,59,61,70,72,76],systemat:[16,23,43,54,56,63],t0:56,t1:[3,12,16,33,41,45,56],t2:[16,33,41],t:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76],t_0:25,t_1:[3,25,30,33,34],t_2:[25,30,33,34],t_:[25,33],t_h:65,t_i:33,t_ind:[16,34],t_k:25,t_m:33,t_n:[3,25,33,65],t_q:33,t_rec:34,t_rect:34,t_scope:[16,70],t_sind:34,t_tauto_intuit:53,tab:[16,28,51,52],tabareau:[3,16,76],tabl:[2,3,4,15,16,23,24,26,36,45,50,52,53,54,56,58,66,70,74],tableau:23,tableofcont:74,tablog:23,tabul:[16,23,56],tac1:16,tac2:16,tac2alg_constructor:54,tac2def_bodi:54,tac2pat0:54,tac2pat1:54,tac2rec_field:54,tac2rec_fieldexpr:54,tac2rec_fieldpat:54,tac2typ_def:54,tac2typ_knd:54,tac2typ_prm:54,tac:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],tacdef_bodi:53,tacexpr:42,tacl:53,tacmach:16,tactic1:56,tactic:[7,8,9,12,15,24,25,28,29,30,31,32,33,34,37,39,40,45,50,51,52,58,61,64,65,72,74],tactic_arg:53,tactic_atom:53,tactic_failur:54,tactic_invoc:57,tactic_list_sep:53,tactic_then_loc:70,tactic_valu:53,tacticm:56,tacticn:56,tacvalu:51,tag:[16,23,50,51,56,65],tail:[16,23,26,45,53,54,56,59,70],tail_mul:58,tailor:10,taint:50,taiwan:76,takafumi:16,takahashi:76,take:[2,3,5,8,10,11,12,16,23,25,26,27,28,30,31,36,39,40,41,45,50,51,52,53,54,56,57,59,61,63,65,66,70,74],taken:[2,12,16,23,33,35,41,43,52,56,63,66,70],talia:16,tan:76,tan_atan:16,tan_inj:16,tan_is_inj:16,tanaka:16,tankink:16,tapsoft:23,target:[4,8,10,16,24,50,57,70],tarski:23,task:[8,16,56,74],tassi:[8,16,41,56,76],tau:66,tauto:[5,16,23,33,53,61],tauto_gen:53,tauto_intuitionist:53,tautolog:[10,16,23,53,61],taylor:76,tctl:23,teach:16,team:[16,23],tebbi:16,tech_rgt_minu:16,tech_rplu:16,tech_single_z_r_r1_depr:16,technic:[8,16,26,33,43,50,56,76],techniqu:[5,9,29,41,56,58,61,66],tediou:[23,33,52,56,66],tej:[16,57],tel:76,telecom:23,telescop:16,tell:[2,3,10,16,23,33,40,41,43,45,50,54,56,59,63,66,70,74],templat:[12,16,24,29,36,39,65],tempor:23,temporari:[2,13,16,23,56],temporarili:[16,52,56,58,65,70],ten:23,tend:[13,56],teo:76,term0:[28,36,57,70],term100:[28,39,45],term10:[16,28,31],term1:[27,28,36,43,56],term2:56,term:[2,3,4,6,8,9,10,11,12,13,16,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,49,52,56,57,58,59,61,62,65,66,71,74],term_appl:[27,28,36,43,63],term_cast:[28,31],term_cofix:[16,28,29,53],term_evar:[28,42],term_explicit:[28,43],term_fix:[16,28,33,53],term_forall_or_fun:[16,27,28],term_gener:[28,43],term_i:56,term_if:[16,28,45],term_ind:66,term_let:[16,28,31,37],term_ltac:[28,53],term_match:[28,39],term_project:[28,36],term_rec:66,term_record:[28,36],term_rect:66,term_scop:[28,70],term_sind:66,termin:[2,8,9,16,23,24,26,28,29,31,33,34,37,50,51,54,58,59,65,70,71],terminolog:[23,54],termn:56,termvh:56,ternari:16,terrass:76,territori:51,test:[2,3,4,8,9,10,12,16,23,24,28,29,33,41,45,54,56,57,58,65],test_algebra:41,test_algebraic2:41,test_big_nest:56,test_ind:56,test_sind:56,testbit:[16,58],testbit_eqb:58,testbit_fals:58,testbit_nat:58,testbit_spec:58,testbit_tru:58,testcompil:[2,16],tew:16,tex:[16,52,74],texa:23,texmac:74,text:[16,23,26,50,51,52,56,58,65,70,74],text_:74,textbook:56,textgreek:74,textsf:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],textsl:74,texttt:3,textual:[16,45,70],tgt:52,th:[16,26,29,33,39,56,57,65,66,76],than:[2,3,5,8,10,11,12,13,16,23,28,29,30,33,34,36,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,74],thank:[2,5,11,16,23,33,41,54,56,63,70],the_cmp:41,thei:[2,3,4,6,7,8,9,10,11,12,13,14,16,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,40,41,42,43,44,45,50,51,52,53,54,56,57,58,59,63,65,66,70,71,72,73,74],them:[2,3,8,9,10,12,13,16,23,25,26,27,30,33,34,36,37,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,74],theme:[23,51],themselv:[3,12,13,16,25,34,36,38,40,41,52,56,58,70],theorem:[2,5,7,8,10,11,16,23,24,26,28,31,32,34,36,37,41,42,50,51,56,58,59,61,64,65,70,72,73,74,76],theorem_nam:65,theoret:[2,16,23,30,38,76],theori:[3,4,5,10,16,23,24,25,26,27,28,38,41,45,50,52,56,57,59,61,66,70,76],theorylist:16,thereaft:[33,58],therebi:58,therefor:[2,16,28,30,36,51,52,56,57,61,71,72],therein:52,thereof:16,theri:[16,23],thesi:[23,76],thi:[2,3,4,5,6,7,8,9,11,12,13,14,16,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,70,71,72,73,74,75],thierri:[16,23,33,76],thing:[8,16,51,53,54,58,66,71],think:[54,65],third:[2,3,16,24,39,40,43,50,51,52,53,56,57,58,74],thirdli:16,this_scop:56,thisextrafil:52,thm:23,thm_token:[31,58],tho:16,thoma:16,thoroughli:[16,54],those:[2,3,5,10,11,16,23,25,32,33,34,36,42,45,51,52,53,54,56,57,58,59,61,63,65,66,70,71],though:[2,8,9,16,23,28,34,36,45,50,52,53,54,63,66,70],thought:[9,25,28,62],thread:[16,52],three:[2,4,9,10,16,23,24,33,39,50,51,52,53,56,58,59,66,70],threeintropatternscombin:57,threshold:[8,16,63,70],throttl:76,through:[3,4,11,16,23,26,27,28,29,31,33,34,35,36,45,51,52,53,54,56,57,58,59,63,64,65,66,70,71,72,73],throughout:[16,28],thu:[3,4,5,11,16,23,31,33,41,42,45,50,52,53,54,56,57,58,59,63,65,66,70,71,74],thumb:[50,66],thunk:[16,54],ti:[12,56],tie:63,tight:70,timani:16,time1:52,time2:52,time3:52,time:[2,3,5,8,9,10,11,12,13,16,23,24,26,27,28,31,33,35,36,40,41,43,45,51,54,56,57,58,63,65,66,70],time_constr1:53,time_constr:[16,24],time_of_pretty_build_fil:52,timeout:[11,16,24,58,63],timer:53,times_sym:16,timing_fuzz:[16,52],timing_include_mem:[16,52],timing_r:[16,52],timing_sort_bi:[16,52],timing_sort_by_mem:[16,52],timothi:16,tip:16,titl:[16,51,74],tj:56,tl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],tm:12,tmp:16,tn:[3,12,16,56],to_bit:58,to_bits_of_bit:58,to_constr:54,to_eq:41,to_euclidean_division_equ:[5,16],to_euclidean_division_equations_with:16,to_l:41,to_list:16,to_list_append:16,to_list_con:16,to_list_const:16,to_list_exist:16,to_list_fold_left:16,to_list_fold_right:16,to_list_foral:16,to_list_forall2:16,to_list_hd:16,to_list_in:16,to_list_inj:16,to_list_last:16,to_list_map:16,to_list_nil:16,to_list_nil_iff:16,to_list_nth_ord:16,to_list_rev:16,to_list_rev_append:16,to_list_rev_append_tail:16,to_list_tl:16,to_n:16,to_nat:16,to_num_uint:70,to_po:16,to_str:[16,54],to_uint:70,to_uint_dec:70,tobia:16,toc:[16,74],todd:74,todo:16,togeth:[3,9,16,23,24,26,30,33,34,42,52,53,54,56,65,70,74],toggl:[45,51],toi:56,token:[16,28,41,50,51,52,53,54,57,58,65,70,74],toler:16,tolmach:76,tom:16,toni:16,too:[8,9,10,16,53,54,56,57,66,70],took:[8,16,23],tool:[10,13,24,28,50,51,52,53,56,58,65,70,71,74,76],toolbar:51,toolbox:3,toolchain:[16,50],tooltip:51,top:[3,8,11,12,13,16,23,24,26,28,34,36,45,50,51,52,53,54,56,57,58,63,66,70,72,74],top_heap_word:65,topbin:[16,52],topdown:3,topfil:16,toplevel:[2,13,16,23,24,26,28,34,43,45,50,51,52,54,56,57,58,59,63,70,71,73],toplevel_selector:[16,28,53,57],toploop:16,toset:[13,16],total:[50,52,53],toto:50,toward:[4,16,26,52],tphol:76,trace:[10,12,16,24,31,50,52,56,57],track:[16,23,50,52,54,56],tracker:[16,53],tract:76,tractabl:11,tradit:[16,23,50,62],trager:16,traian:16,trail:[16,24,56,74],trailer:74,tran:[3,16],trans_equ:56,transact:[63,76],transfer:23,transform:[3,4,8,10,16,28,56,57,65,66,76],transit:[3,7,8,12,13,16,23,24,25,34,40,43,50,53,56,57,58,59,63,65,73],translat:[2,3,16,23,24,32,40,44,56,70,74],transpar:[3,4,6,9,13,16,23,24,30,31,34,36,40,50,53,54,56,58,59,63,65,66,74],transparentst:16,transport:[11,16],transposit:16,trap:23,travers:[3,16,56,57,66],traverso:76,travi:16,treat:[9,11,12,16,28,45,52,53,56,58,59,61,63,66,70,71],treatment:[2,9,16,39],trece:56,tree:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],tree_forest_ind:66,tree_forest_mutind:66,tree_forest_mutrect:66,tree_forest_rec:66,tree_forest_rect:66,tree_ind:[33,66,71],tree_rec:[33,66,71],tree_rect:[33,66,71],tree_sind:[33,66,71],tree_siz:[33,71],tree_size_equ:71,tree_size_ind2:71,tree_size_ind:71,tree_size_rec:71,tree_size_rect:71,treinen:16,tri:[3,4,5,9,12,13,16,33,34,40,45,51,52,53,54,56,57,58,59,61,65,66],triangl:51,triangleright:[25,30],triangleright_:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],trick:[23,54,56,57,71],trickeri:54,tricki:[23,56],trickier:53,trigger:[12,16,28,43,53,54,56,59,73],trigonometr:[16,23],trii:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],trivial:[11,12,13,16,33,45,52,53,54,56,57,59,65,66],trm:53,troubl:[16,53,63,66],true_sub:16,truli:[16,56],trunc:16,truncat:[16,56],trunk:16,trunov:16,trust:[23,32,35,72],truth:[16,53,56],tryif:[16,24],ts:45,tt:[5,12,13,16,26,39,45,53,56],tt_h:65,tt_n:65,tune:[16,41,63],tupl:[9,16,36,41,45,54,56,57],turn:[2,8,11,12,13,16,23,26,28,31,36,40,41,43,45,50,51,53,54,56,57,58,63,65,66,70],tutori:[16,24,62,73,76],tv:2,tweak:16,twice:[16,33,50,52,58,63,65],two:[2,3,4,5,6,8,9,10,12,13,14,16,23,24,25,26,28,29,30,33,35,36,37,39,40,41,43,45,50,51,52,54,56,57,58,59,62,63,65,66,70,73,74],twofold:27,twoi:56,tx:56,txt:[16,23,52],ty:[53,56],typ:[16,23],typabl:[2,4,33],type1:34,type2:34,type:[0,1,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,30,32,35,38,40,41,42,44,46,47,48,49,50,51,52,55,57,59,60,61,62,63,64,65,67,68,69,71,72,73,74,75,76],type_ind:66,type_of:16,type_rec:66,type_rect:66,type_scop:[12,13,16,24,33,43,45,51,53,57,65,66],type_sind:66,type_term:[16,24],typeabl:3,typecheck:[9,16,40,50,54,57,58,63,65],typeclass:[3,4,5,7,16,24,34,36,37,43,44,57,59,63,65],typeclass_constraint:43,typeclass_inst:[12,16,59],typed:54,typeexpand:2,typeset:[16,74],typic:[2,4,6,11,13,16,23,29,33,34,43,45,50,52,54,56,57,58,59,63,66,70],typo:[16,43],u05d0:16,u0:[13,45],u1:[12,13,16,56],u:[3,4,9,13,16,23,25,26,30,33,34,37,38,40,45,52,53,54,56,57,61,63,66,70],u_0:25,u_1:[25,30,33,38],u_2:30,u_:33,u_i:[25,33],u_m:25,u_n:38,ubiquit:56,uconstr:[16,53,70],ui:50,uint63:[16,35],uint63_scop:[35,70],uint:[16,58,70],uint_scop:16,uintdecim:70,uinthexadecim:70,uip:[13,16,24,45,58],uip_refl_nat:66,uj:56,ultim:10,um:[12,56],un:76,unabl:[3,13,33,42,45,52,56,57,58,65,66],unabletounifi:16,unambigu:[16,26,31,43,52,58],unappli:16,unari:[2,3,25,28,33,63],unavail:16,unavoid:56,unbound:[12,13,16,53,54,57],unbox:53,uncapit:16,uncaught:[16,54],unchang:[16,53,56,57,59,63,65],uncheck:58,unclear:[3,54],uncom:51,uncommon:16,uncon:16,uncondition:16,uncurri:16,undecid:[28,29],undeclar:13,undefin:[16,27],undelimit:[16,58,70],undeprec:16,under:[5,9,10,16,24,31,39,43,45,51,52,53,54,58,63,65,66],under_rel:16,underli:[9,10,16,23,25,53,56,66,70],underlin:[50,51,65],undermin:56,underscor:[13,16,28,36,43,50,70,74],understand:[3,5,11,14,16,23,24,28,32,50,52,53,54,58,59],understood:[16,31,33,35,59,70,74],undertaken:23,undesir:63,undetect:[16,45],undetermin:[56,65],undif:65,undiscrimin:[16,59],undo:[10,16,51,53,57,58,65],undocu:[16,23],undon:51,unduli:16,uneed:57,unend:70,unequ:16,uneven:16,unexpect:[16,23,43,52,54,70,72],unexpectedli:53,unfocu:[16,65],unfocus:[16,33,54,58,65],unfold:[5,9,12,13,16,23,24,26,30,31,33,36,53,54,56,59,61,65,70],unfold_nth_error:16,unfortun:[3,5,16,41,45,56],unguard:29,unibo:23,unicod:[16,24,74],unicode_id_part:28,unicode_lett:28,unicoq:52,unif:[3,12,16,23,24,36,39,41,42,53,59,63],unifi:[3,11,12,13,16,33,40,41,42,53,56,57,63,65],uniform:[4,16,23,33,39,43,54],uniformli:[16,23],uninform:16,uninstal:[16,24],uninstanti:[42,43,53,57,66],unintend:56,unintendedli:16,uninterest:56,uninterpret:[16,61],uninterrupt:16,union:[3,12,16,53,58,65,76],union_compat:3,union_mor:3,uniqu:[3,11,12,16,23,26,30,34,37,56,58,66,70],unit:[2,11,12,13,16,26,33,39,45,52,53,54,56,61,63,70],unit_eqdec:12,unit_ind:26,unit_monoid:13,unit_rec:26,unit_rect:26,unit_sind:26,uniti:10,univ:16,univ_annot:[13,28,36],univ_constraint:13,univ_decl:[13,27,34],univ_level_or_qu:13,univ_name_list:58,unival:16,univers:[3,4,8,9,11,12,16,23,24,25,26,27,28,29,30,31,32,33,36,38,39,43,45,50,53,56,58,61,65,66,70,76],universe_expr:38,universe_nam:[13,38],unix:[16,23],unkei:56,unknown:[16,28,41,42,57,59,65,70],unless:[2,3,13,16,28,39,40,41,43,50,51,56,57,63,70,71,74],unlik:[12,16,23,29,38,51,53,54,56,57,58,63,66],unload:16,unlock:24,unmaintain:16,unmatch:57,unmodifi:51,unnam:[43,51,56,65,70],unnamed_coqscript_:51,unnamed_thm:65,unnatur:70,unnecessari:[8,16,56,61,65],unneed:[8,16,57],unnot:8,unop:5,unopspec:[5,16],unord:[3,16,56],unpack:16,unpredict:53,unprefix:3,unprocess:51,unprotect:[16,56],unprov:[16,42,57],unproven:[51,57,65],unqualifi:[16,34,54,70],unquot:[16,52,54],unquoted_str:52,unread:[16,58],unrealist:23,unreli:16,unresolv:[9,12,16,56,57,59,63,66],unrespons:16,unsaf:[2,16,54,65],unsafe_:16,unsafe_type_of:16,unsafecoerc:16,unsatisfi:[5,59],unselect:57,unset:[4,5,11,13,16,23,24,33,34,36,41,43,45,50,53,54,56,58,65,66,70],unshelv:[16,42,65],unsign:[5,16,35],unsolv:[9,16,42,65],unsound:[16,33],unspecifi:[4,13,16,42,54,61,66],unstabl:16,unsuit:8,unsupport:[16,28,51,58],untermin:70,until:[12,13,16,23,25,30,31,33,39,51,53,54,56,59,63,65,66,71],untouch:[16,40],untyp:[16,24,54,70],unus:[16,24,52,57],unwant:16,up:[3,8,12,16,23,24,25,30,33,41,42,51,52,53,54,56,57,63,65,66,70,74],upcom:16,updat:[4,8,14,16,23,35,36,45,51,52,57,58,66,70],upfront:52,upgrad:[14,16,24],upon:[5,10,35,42,50],upper:[13,16,38,43,51],upper_bound_thm:16,uppercas:[28,54],upstream:[16,52],upward:[16,23],url:[16,26,51,74,76],us:[2,3,5,6,7,8,9,10,11,12,16,23,25,26,27,28,29,30,31,32,33,35,38,39,40,41,44,54,56,58,59,60,61,62,64,71,72,73,74,76],usa:76,usabl:[16,23,37,51,54,65,66,70],usag:[8,16,23,24,26,50,52,53,57,63],usecamlp4:16,usefulli:16,useless:[12,13,16,23,24,36,45,59],uselessli:16,uselocaldef:16,usepackag:74,user:[4,5,6,7,8,9,10,11,12,13,16,24,28,31,32,33,34,35,36,38,41,42,43,44,45,50,51,52,53,54,56,57,58,60,61,63,64,65,66,70,71,72,73,74,75,76],usernam:51,usual:[3,8,9,11,16,24,25,26,27,29,33,34,36,39,42,43,45,51,52,53,54,56,57,58,59,61,63,65,66,70,73,74],utf8:[51,52,74],utf8x:74,utf:[16,51,74],util:[8,16,41,50,52],v1:[24,49,56],v2:[23,56],v3:[23,56],v4:23,v5:23,v6:23,v7:[16,23],v8:16,v:[2,3,7,8,10,11,13,16,23,25,26,33,34,36,41,43,45,50,51,52,53,54,56,57,58,66,70,74],v_0:10,v_1:[10,30],v_2:10,v_3:10,v_:[10,25],v_i:[10,30],v_m:30,vadim:16,val:[2,33,54,56],valentin:16,valid:[2,3,4,5,8,10,13,16,24,25,28,31,33,34,39,41,50,53,54,56,57,58,65,70,71],valu:[2,4,5,6,9,10,11,12,13,16,23,24,25,26,27,28,30,31,33,35,36,37,39,41,42,50,51,52,56,57,58,59,61,63,65,66,70],value_tact:[51,53,63],van:16,vanish:23,vari:[23,53,57,66,70],variabl:[2,3,4,5,6,7,8,9,11,12,13,16,23,24,25,26,27,28,30,31,33,34,36,37,38,39,40,41,44,52,53,56,57,58,59,61,63,66,70,71,74],varianc:[3,16],variant:[5,12,13,16,23,24,26,27,31,32,33,34,36,37,50,53,54,59,62,63,65,66,70,71],variat:[16,58,76],varieti:[16,23],variou:[3,15,16,23,24,26,27,28,33,43,50,51,52,54,56,57,58,59,63,65,70],varmap:5,varnam:36,varner:16,varref:54,vassor:16,vax:23,vbt98:[3,76],vcon:[16,66],vdash:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],vdfile:16,ve:[51,52,65,66],vec:66,vec_ind:66,vec_rec:66,vec_rect:66,vec_sind:66,vector:[16,45,66,70],vector_ind:66,vector_rec:66,vector_rect:66,vector_scop:16,vector_sind:66,vectordef:16,vectornot:16,vectorspec:16,vener:16,verbatim:24,verbos:[12,16,41,50,58],veri:[2,8,9,10,12,16,23,24,26,28,33,41,45,51,52,53,54,56,57,58,59,61,63,65,66],verif:[3,23,24,31,65,66,76],verifi:[3,7,9,10,13,16,23,24,28,30,31,32,34,50,59,63,65],verlag:76,vernac:[16,23,50,52,70,74],vernac_control:70,vernacular:[16,23,58,62,74],version:[2,3,4,7,9,12,13,14,24,28,31,33,34,35,36,40,45,49,50,51,56,57,58,59,61,63,65,72,73,74,76],vertic:[16,58,70],vfile:52,vi:52,via:[2,5,8,10,16,50,52,53,54,56,58,70,71],vicent:16,view:[2,10,16,24,25,28,31,33,38,40,51,54,59,65],vincent:16,vindum:16,vio2vo:[8,16],vio:[8,16],violat:[38,65],virtu:16,virtual:[16,23,31,52,63],vis01:[3,76],visibl:[6,16,23,37,51,56,59,65,70,74],visser:[3,76],visual:[16,50,51,53,65,70],vlad:71,vm:[16,57,58,63],vm_c:52,vm_cast_no_check:57,vm_comput:[5,16,24,31,35,50,57],vmbyteflag:16,vnil:66,vo:[8,16,23,24,52,58],vocabulari:24,vofil:52,vok:[16,50],volatil:[16,31,40,45],volum:[23,76],volunt:16,vote:23,vs:[12,16,24,25],vscoq:[8,16,50,52,65],vulner:16,w:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],w_1:[25,30],w_i:25,w_m:[25,30],wa:[3,10,11,16,23,26,27,28,31,33,34,36,40,41,42,43,50,51,52,53,54,56,57,58,59,62,63,65,66,70,71],wai:[2,3,5,10,11,12,13,16,23,24,25,26,28,29,30,31,33,34,36,41,42,43,45,50,51,52,56,57,58,59,61,62,63,65,66,70,71,72,74],wait:[8,16,54,65],waitpid:16,walding:23,walk:[54,70],wall:63,wand:76,wang:16,want:[2,10,12,16,33,34,35,40,41,42,50,51,52,53,54,56,57,58,59,61,63,65,66,70,72,73],warn:[2,3,4,11,12,15,16,23,24,26,27,28,33,34,36,40,41,43,45,50,51,53,56,58,59,61,65,70,71,73],we:[2,3,4,5,9,10,11,12,13,15,16,23,25,26,27,28,29,30,32,33,34,37,38,39,41,43,44,45,50,51,52,53,54,56,57,58,59,63,65,66,70,71,74],weak:[5,16,24,26,34,54,63,66,70],weaken:[16,66],weaker:[3,16,23,59],weakli:63,web:[16,26,51,52],websit:[74,75],wedg:7,weegen:16,week:16,wei:23,weight:16,weird:16,welcom:[16,53],well:[2,3,4,8,9,10,12,13,16,23,24,25,28,29,30,31,32,34,36,38,42,44,45,50,51,52,53,54,56,57,58,62,63,65,66,70,71,74],well_found:26,well_founded_ind:26,well_founded_induct:[16,26],wellfound:[9,16,26],wendl:16,weng:16,went:[53,54],wenzel:16,wer94:[30,76],were:[3,10,12,16,23,33,35,41,43,50,52,53,54,58,59,65,70,71,74],werner:[10,16,23,76],wev:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],weval:34,wevt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],weyhrauch:23,wf:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wf_nat:[2,16,23],wf_slexprod:16,wf_z:23,wfe:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wft:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wftwolin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],what:[2,3,5,8,12,15,16,23,24,26,28,32,33,40,41,45,50,52,53,54,56,58,59,63,65,66,70],whatev:[3,43,63,74],whelp:16,when:[2,3,4,5,6,7,8,9,10,11,12,13,14,16,23,24,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,44,50,51,52,53,54,57,58,59,61,63,65,66,70,71,73,74],whenev:[3,7,13,16,26,41,54,56,61,63,66,70],where:[2,3,4,5,7,8,9,10,11,12,13,16,23,25,26,28,29,33,34,35,36,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,74],wherea:[16,28,33,53,54,56,57,61],wherev:[30,52,53,54,66,70],whether:[2,3,9,11,12,13,16,28,33,34,40,43,50,51,52,53,54,56,58,61,63,65,70,74],which:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,50,51,52,53,54,56,57,58,59,61,62,63,64,65,66,70,71,72,74],whichev:16,whilst:9,white:[16,56],whitequark:16,whitespac:[16,23,52,74],who:[16,23,54,56,58],whole:[2,3,9,10,16,28,39,45,50,52,54,56,58,70,74],whose:[2,3,4,5,10,12,13,16,23,25,26,29,30,32,33,34,36,38,40,41,43,45,52,53,54,56,57,58,59,63,66,70,74],why2:16,why3:16,why:[3,10,16,33,36,42,54],wide:[28,37,51,52,57],widget:23,width:[16,58,70],wiedemann:16,wiedijk:23,wiki:[16,63],wikipedia:63,wilcox:16,wild:[16,56],wildcard:[9,12,24,27],william:76,win:16,window:[8,16,23,50,51,52,53],winterhalt:16,wire:[16,54],wish:[2,5,16,52],wit:[5,13,16,23,26,38,54,63],with_declar:34,with_strategi:[16,63,70],with_uniform_flag:53,within:[5,16,23,27,28,30,32,34,36,37,40,41,43,50,51,53,54,57,58,63,65,70],without:[2,3,5,8,9,10,12,13,16,23,25,28,31,32,33,34,36,41,42,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,73,74,76],wizard:13,wlia:5,wlog:[16,24],wlog_stat:56,wlra:5,wlra_q:5,wml07:76,wnia:5,wnra:5,wojciech:16,wolf:16,won:[16,24,37,51,52,53,54,57,61,63,66,70,72],word:[4,13,16,26,29,41,50,51,52,57,65],work:[2,3,4,5,8,9,11,12,16,23,24,25,26,31,34,40,41,42,45,50,51,53,54,56,57,58,63,66,70,73,76],workaround:[52,53,54,59],worker:[16,24,51,53],workflow:16,workshop:[23,76],workspac:16,workstat:23,world:[11,16,23,54,56,76],worst:[16,58],worth:56,would:[2,3,4,10,13,16,28,29,30,31,33,36,40,41,42,43,45,52,53,54,56,57,58,59,61,63,65,66,70,71,74],wpsatz:5,wrap:[9,11,12,16,35,37,52],wrapper:[16,52,66,70,71],write:[3,4,8,10,12,13,16,23,24,25,26,28,30,31,32,33,37,38,42,50,52,53,54,56,57,58,62,65,66,70,72,74],writer:[16,28,54],written:[2,3,5,10,12,16,23,25,27,28,33,34,35,36,41,42,43,45,51,52,53,54,56,63,70,72,73],wrong:[2,3,16,23,43,50,53,65,71],wrongli:[16,45],wrongplu:33,wrote:[10,16,23],wrt:[16,23],ws:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wse:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wsl:51,wso:5,wt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wte:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wteg:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wtm:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],www:[16,23,24,26,49,74,76],x0:[3,12,16,36,42,43,53,65,70],x1:[3,9,12,16,26,41,53,56,58,59,71],x1p:35,x2:[3,26,41,58,59,71],x3:[26,70,71],x3p1:70,x3p2:70,x:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],x_1:[7,25,33,34],x_:[7,33],x_j:33,x_k:[25,33],x_m:33,x_n:7,xa:56,xavier:[16,76],xb:56,xcolor:74,xdg:[16,52],xdg_config_hom:[16,50,51],xdg_data_dir:[16,50],xdg_data_hom:[16,50,52],xi:16,xia:16,xl:56,xlia:5,xlra:5,xmailserv:76,xml:[16,23],xn:[3,9,16,56],xnia:5,xnra:5,xo:16,xor:16,xorb:[16,26,58,61],xorb_comm:58,xp:16,xpsatz:5,xs:[57,63,66],xso:5,xx:16,xxx:[13,50],xxx_scope:16,xxy:10,xyz:16,xz:10,y0:[3,12,42],y13:65,y1:[12,26,41,45,58],y2:[26,41,58],y3:26,y:[2,3,4,5,9,10,11,12,13,16,23,25,26,27,30,33,34,35,36,37,39,40,41,42,43,45,51,53,54,56,57,58,61,63,65,66,70,76],y_1:[33,37],y_:33,y_gt1:56,y_j:33,y_lt2:56,y_lt3:56,y_m:33,y_n:37,yale:16,yang:16,yann:[16,23],yannick:16,yao:16,ybertot:16,ye:[4,9,10,13,16,28,33,36,41,50,52,58,66],year:[16,23],yellow:[16,51],yet:[2,16,41,42,45,51,53,54,56,57,59,65,71],yice:16,yield:[4,10,16,23,30,45,53,54,57,66,70],yishuai:16,ym:56,ymmv:16,yojson:52,yop:23,york:76,yoshihiro:16,you:[2,3,4,7,8,10,12,13,14,15,16,23,24,26,28,31,33,34,36,40,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,73,74],your:[2,3,8,10,13,14,16,24,28,50,51,53,54,56,57,58,59,61,65,70,72,73,74],ype:76,ys:[45,57,66],ystem:76,yusuk:16,yve:[16,23,71],yx:10,yyy_scop:16,yz:10,z0:[10,16,70],z2nat:16,z3:16,z:[3,5,7,10,12,13,16,23,25,26,27,28,33,34,36,39,40,41,43,51,53,54,56,57,58,59,63,65,66,70],z_div_mod_eq:16,z_div_mod_eq_ful:16,z_le_gt_dec:16,z_lt_induct:16,z_lt_le_dec:16,z_scope:[5,10,16,26,65,70],za:70,zaliva:16,zar:16,zarith:[5,10,16,23,26,28,52,56,59,65],zarith_aux:16,zarith_bas:16,zarith_base_modul:16,zarithr:10,zbitwis:16,zchines:23,zcomplement:[16,23],zdigit:16,zdiv:16,zdiv_eucl_po:16,zeimer:16,zeldovich:16,zenon:16,zero:[3,7,10,16,25,26,36,41,45,52,53,54,57,58,59,63],zeroon:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],zeta:[16,23,30,54,63],zfc:23,zgt_square_simpl:16,zhong:76,zifi:[16,24],zify_convert_to_euclidean_division_equations_flag:5,zify_plugin:[10,26,28,35,53,54,56,59,65],zify_post_hook:[5,16],zify_pre_hook:[5,16],zifybool:[5,16],zifyclass:[5,16,56],zifycomparison:5,zifyinst:5,zifyint63:16,zifyn:[5,16],zifynat:[5,16],zifypow:16,zifysint63:5,zifyuint63:5,ziliani:[16,76],zim19:[73,76],zimmerman:[16,23],zimmermann:[16,76],zinc:[16,63,76],zine:76,zle:16,zle_0_plu:16,zle_mult_simpl:16,zle_zmult_pos_right:16,zle_zmult_right2:16,zlogarithm:[16,23],zlt_gt_succ:16,zlt_square_simpl:16,zlt_succ_gt:16,zmax:16,zmin:16,zminmax:16,zmisc:16,zmod:16,zmod_neg_bound:16,zmod_pos_bound:16,zmodulo:16,zmult:23,zmult_1_n:16,zmult_assoc:16,zmult_assoc_l:16,zmult_comm:10,zmult_le_compat_r:16,zmult_minus_distr:16,zmult_on:16,zmult_zminus_distr_l:16,zmult_zminus_distr_r:16,zn2z:16,znumtheori:16,zodiv:16,zplu:16,zplus_assoc:16,zplus_assoc_l:16,zplus_comm:16,zpo:16,zpower:[16,23],zpred:16,zsgn:23,zsqrt_compat:16,zulip:[16,51,53],zwanenburg:23,zx:10,zy:10,zyuzin:16},titles:["<no title>","<no title>","Program extraction","Generalized rewriting","Implicit Coercions","Micromega: solvers for arithmetic goals over ordered rings","Program derivation","Nsatz: a solver for equalities in integral domains","Asynchronous and Parallel Proof Processing","Program","ring and field: solvers for polynomial and rational equations","SProp (proof irrelevant propositions)","Typeclasses","Polymorphic Universes","History and recent changes","Indexes","Recent changes","Attribute index","Command index","Errors and warnings index","Flags, options and tables index","Tactic index","General index","Early history of Coq","Introduction and Contents","Typing rules","The Coq library","Functions and assumptions","Basic notions and conventions","Coinductive types and corecursive functions","Conversion rules","Definitions","Core language","Inductive types and recursive functions","The Module System","Primitive objects","Record types","Sections","Sorts","Variants and the match construct","Setting properties of a function's arguments","Canonical Structures","Existential variables","Implicit arguments","Language extensions","Extended pattern matching","<no title>","<no title>","<no title>","<no title>","Coq commands","CoqIDE","Building Coq Projects","Ltac","Ltac2","<no title>","The SSReflect proof language","Tactics","Commands","Programmable proof search","Automatic solvers and programmable tactics","Solvers for logic and equality","Creating new tactics","Reasoning with equalities","Basic proof writing","Proof mode","Reasoning with inductive types","<no title>","Glossary index","<no title>","Syntax extensions and notation scopes","Functional induction","Libraries and plugins","Writing Coq libraries and plugins","Documenting Coq files with coqdoc","Command-line and graphical tools","Bibliography"],titleterms:{"0":[16,23],"0beta":16,"1":[16,23,36],"10":16,"11":16,"12":16,"13":16,"14":16,"15":16,"16":16,"17":16,"18":16,"19":16,"1beta":16,"1gamma":16,"2":[16,23,36],"3":[16,23,70],"4":[16,23],"4beta":16,"4beta2":16,"5":[16,23],"5beta1":16,"5beta2":16,"5beta3":16,"5pl1":16,"5pl2":16,"5pl3":16,"6":[16,23],"6beta1":16,"7":[16,23],"8":16,"9":16,"\u03b1":30,"\u03b2":30,"\u03b4":30,"\u03b6":30,"\u03b7":30,"\u03b9":30,"abstract":[56,65],"boolean":[45,53,56],"case":[5,23,39,51,56,57,66],"catch":[53,54],"class":[3,4,36,54,70],"default":[40,45],"do":[10,53],"float":[26,35],"function":[4,27,29,33,40,43,53,59,71],"long":23,"new":[3,10,16,23,34,52,56,62],"short":5,"static":54,"switch":[54,56],"try":53,A:[2,13,34,57,66],In:54,Is:10,No:52,One:56,The:[10,25,26,33,34,43,52,56,70,74],_coqproject:52,abbrevi:[54,56,70],about:[7,45,70],access:[26,36],ackermann:59,acknowledg:56,activ:4,ad:[3,10,51],addit:2,advanc:[56,71],algorithm:63,alia:73,alias:45,altern:[40,53],alwai:63,ambigu:3,an:[34,56,58,66],analysi:66,annot:8,anonym:[36,56],antiquot:54,api:54,appendix:24,appli:[42,56,57,63,66],applic:[4,27,43,53,57],ar:[56,65],argument:[2,36,40,43,45,52,56,66,70],arithmet:[5,26],ariti:33,arrai:35,ask:9,assert:31,assert_fail:53,assert_succe:53,assign:56,associ:70,assumpt:[27,56],asynchron:[8,51],attribut:[4,16,17,28,34],autom:59,automat:[8,10,40,42,43,60,66],avail:4,avoid:2,axiom:2,b:57,backtrac:53,backtrack:[53,54,58],backward:[3,57],basic:[11,26,28,51,52,53,56,64,70],batch:[8,50],beta1:16,beta2:16,beta3:16,beta:30,between:[2,54,58,65],bibliographi:76,bidirection:40,bind:[12,40,51,54,57,70],binder:[3,27,43,56,70],block:[8,56],bookkeep:56,both:70,bound:70,brace:65,branch:[53,56],breakpoint:51,buffer:51,build:[12,52],built:54,bullet:[56,65],calcul:65,calculu:25,call:[51,54],can:42,canon:41,cast:31,casual:43,caveat:[8,29],cell:54,chain:56,chang:[14,16,23,54],charact:51,check:53,checker:50,classic:57,claus:[36,45,57],clear:56,co:29,code:2,coercion:[4,45,70],cofix:29,coinduct:29,combin:[43,57,66],command:[3,12,16,18,23,34,50,51,56,58,65,66,70,74,75],comment:52,common:[52,57],compact:41,comparison:[53,54],compat:[16,36,54,56,73],compil:[16,50,51,52,58],complex:70,compon:54,compound:57,comput:[52,53,63],conclus:58,concret:[10,23],condit:[33,53,56],configur:52,conflict:2,congruenc:56,connect:26,constant:[3,36,58,70],constraint:[13,65],construct:[11,23,25,33,36,39,53,58],constructor:[33,66],content:24,context:[3,12,53,54,56,57],contextu:[43,56],continu:[3,40,43],contradict:57,contravari:3,contribut:[2,23,26],control:[9,34,43,45,53,56,57,58,63,65],convent:[28,45],convers:[13,30,63],convert:30,coq:[2,10,23,24,26,50,51,52,56,59,70,73,74],coq_makefil:52,coqc:[50,52],coqchk:50,coqdep:52,coqdoc:74,coqid:[16,51],coqmakefil:52,coqrc:50,coqtop:50,core:32,corecurs:29,correct:33,count:53,covari:3,creat:[34,36,42,59,62],cumul:13,curli:65,custom:[50,51,70],cut:[5,53],cycl:65,databas:59,datatyp:26,deactiv:43,deal:10,debug:[11,53,54,58],debugg:[51,53],decid:[53,66],decis:5,declar:[3,12,37,40,41,43,54,56,65,66],defect:56,defin:[33,34,36,53,54,59],definit:[3,9,11,13,29,31,33,36,39,45,53,54,56,63,70],delai:[54,65],delta:30,demonstr:13,depend:[16,45,52,57,58,66],deprec:[3,73],deriv:[6,41,66],descript:5,design:54,destruct:66,destructor:33,destructur:[45,56],detail:[2,16,23,52],detect:53,diff:65,differ:[2,43,65],disabl:70,disambigu:58,discharg:56,discuss:10,disjunct:45,displai:[4,42,43,51,58,70],divis:2,document:[28,52,74],doe:[10,45],doesn:63,domain:7,dune:52,dynam:54,e:42,eappli:42,earli:23,eauto:12,edit:51,effect:[40,54],effici:23,elabor:9,element:[53,57],elim:56,elimin:[2,45,56],embed:52,emphasi:74,enabl:[3,65,70],encod:[11,51],end:[33,37],enter:65,entri:[56,70],environ:[50,58],equal:[7,9,26,61,63,66],equat:[10,56],equival:[56,57],error:[8,19,53,54],escap:74,essenti:28,euclidean:2,eval:[53,63],evalu:[53,54],even:66,exact:56,exactly_onc:53,exampl:[2,3,4,5,6,10,13,16,25,26,27,28,29,30,33,34,36,37,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],except:54,execut:53,exist:[2,23,34],existenti:[42,56],exit:65,expans:[30,45],explicit:[13,42,43,56],explicitli:43,expos:58,express:[45,53,54,70],extend:[45,56],extens:[3,23,44,45,56,70],extra:[2,58],extract:[2,16,23],factor:[45,70],fail:[45,53,56],failur:53,famili:56,fast:[58,63],fatal:54,field:[10,34,36],file:[50,51,52,58,73,74],filenam:[2,52],fill:53,first:[3,33,45,53,56],fix:[30,33],fixpoint:[9,33],flag:[16,20,28,58],flow:[53,56,57],focus:[53,65],fold:63,fold_right:63,follow:43,foral:27,forbidden:52,forest:66,form:33,forward:57,found:26,frequent:9,fresh:53,from:[34,43,54],full:58,fun:27,function_scop:70,functor:34,gallina:56,gener:[2,3,4,10,13,22,28,43,53,54,56,66,70,71],get:[53,56],give:43,given:33,global:[13,53,70],glossari:68,goal:[5,10,53,54,56,57,65,66],grammar:[23,52],graph:4,graphic:75,guard:53,hand:45,have:[53,56],helper:66,hidden:45,hide:74,hierarchi:[12,41],high:5,hint:[40,56,58,59],histor:23,histori:[10,14,23],hole:53,horror:2,how:[10,65],html:74,hyperlink:74,hypothes:[53,54,57,58,65],hypothesi:[53,57],ident:[4,53],identifi:[58,70],idtac:53,implicit:[4,40,43,45,59,70],implicits_alt:40,impred:25,includ:57,incompat:[3,16],indent:56,index:[15,17,18,19,20,21,22,33,56,68],induct:[2,25,33,39,45,66,70,71],infer:[16,42,43],infix:70,inform:[65,70],infrastructur:16,inherit:[4,70],inlin:[2,58],innermost:3,input:51,insert:43,insid:[52,53,74],instal:52,instanc:[12,42],integ:[5,26,35,70],integr:7,interact:[8,34,43,50,53,54,56],interdepend:52,interfac:50,intern:58,interpret:[56,70],intro:[56,57],introduc:73,introduct:[3,24,56],intuitionist:53,invers:66,inversion_sigma:66,invoc:57,involv:[45,70],io:54,irrefut:45,irrelev:[11,30],is_cofix:53,is_fix:53,is_proj:53,isomorph:53,issu:[11,16,56],item:[34,56],iter:56,j:52,kei:51,kernel:16,keyword:[57,58],kind:43,knowledg:43,languag:[2,16,23,24,32,44,54,56],larger:66,late:52,latex:[52,74],launch:50,layer:54,lazy_match:54,lazymatch:53,least:53,left:66,leibniz:63,lemma:[9,26,65],let:[23,31,45,53,56],level:[5,26,28,29,31,33,54],lexic:28,lia:5,librari:[16,23,26,50,52,58,59,70,72,73],licit:56,limit:8,line:[16,50,74,75],linear:5,liner:56,list:[26,53,54,74],load:[50,52,58],local:[13,28,34,37,45,52,53,56,57,59,70],locat:[58,70],lock:56,logic:[26,52,53,61],loop:53,low:54,lra:5,ltac1:54,ltac2:[16,54],ltac:[16,53,54],maccarthi:59,machin:58,macro:53,main:23,mainten:65,make:53,man:52,manag:[51,57,65],manipul:53,manual:[16,40,43],map:10,match:[30,33,36,39,45,53,54,56],materi:74,maxim:43,mechan:56,memori:65,meta:54,metavari:56,micromega:5,minim:13,miscellan:[16,23],ml:[2,54],mode:[8,43,51,54,56,65],modifi:52,modul:[4,34,52],monomorph:13,more:7,morphism:3,move:[56,57],multi:56,multi_match:54,multimatch:53,multipl:[36,40,45,52,53,54,56],museum:2,must:45,mutabl:54,mutual:33,name:[23,34,36,53,65],nat:[26,28],nativ:[16,52],native_comput:[52,63],natur:[53,54,66],neg:33,nest:[33,45],nia:5,non:[5,11,33,43,53,54,57,66,70],noncumul:13,nonreflex:3,nonsymmetr:3,notat:[16,26,41,53,54,58,70],notion:28,novelti:23,nra:5,nsatz:7,number:[8,26,53,70],numgoal:53,object:[33,35,45,73],oblig:9,ocaml:58,occurr:[33,56,57,66],odd:66,old:16,omit:34,onc:53,opam:52,opaqu:12,open:70,oper:58,optim:[2,53],option:[2,16,20,28,50,65,74],or_and_intropattern:66,order:[5,57],orient:57,other:[16,43,65],outermost:3,over:[5,9,54,56],overflow:28,overload:41,overview:[52,54],own:52,packag:52,page:52,parallel:8,paramet:[34,45,50,56],parameter:[12,33,70],parametr:[3,45,56],pars:[23,43,54,70],part:[58,74],partial:57,path:[52,58],pattern:[43,45,53,54,56,57,58,70],peano:26,perform:[52,57],permut:53,phrase:52,plane:5,plugin:[72,73],polymorph:[13,33,56],polynomi:10,posit:33,positivstellensatz:5,potenti:16,pre:5,preced:70,precompil:52,predefin:70,predic:[45,56,66],prefer:51,prelud:26,premis:[57,66],present:[4,13],pretti:[42,43,45,74],primit:[35,36,58,70],principl:[66,71,74],print:[3,4,13,36,42,43,45,53,54,58,70,74],privat:39,procedur:5,process:[5,8,53],produc:50,product:57,profil:[50,53,54],program:[2,6,9,26,54],programm:[59,60],progress:53,project:[36,52],proof:[5,8,11,13,24,30,31,45,53,56,57,59,64,65],properti:[40,53,70],proposit:[11,26,53],prove:[53,65],provid:[3,45],psatz:5,qualifi:34,quantifi:26,queri:[51,58],question:9,quit:58,quot:52,quotat:54,radix:70,ration:[5,10],real:[5,16,26],realiz:2,reason:[57,63,66],recent:[14,16],record:[4,36],recurr:56,recurs:[26,29,33,54,70,71],redex:56,reduct:[23,30,33,36,54,58,63],refer:[16,53,58],reflect:56,refut:5,regist:58,registr:58,relat:3,remark:56,renam:40,reorder:[53,65],repeat:53,repetit:56,request:[58,65],reserv:[57,70],resili:8,resolut:[42,43,56],reus:36,revers:[4,43,53,54,63],revgoal:65,rewrit:[3,56,63,66],right:[45,66],ring:[5,10],root:[23,52],rule:[25,30,33,37,56,63,70,74],run:[51,53],s:[2,26,40],same:[45,52],save:51,scheme:[66,71],scheme_typ:66,scope:[34,40,70],script:[50,51],search:[58,59],searchpattern:58,searchrewrit:58,second:[33,45,53,57],section:[4,12,13,37,65,74],select:56,selector:[53,56],semant:54,separ:65,sequenc:53,set:[2,12,25,28,36,40,56,57,59,65],setoid:[3,63],setup:52,share:34,shelv:65,shelve_unifi:65,show:[65,74],side:[10,45],simpl:[27,30,33,34,54,63,70],simple_bind:57,simplif:56,simultan:70,singl:[50,53],soft:53,solv:[9,42,53,65],solver:[5,7,10,60,61],some:[2,26,34],sort:[13,33,38],sourc:[16,74],special:[56,57],specif:[16,24,26],specifi:13,split:[5,52],sprop:11,ssreflect:[16,56],stack:[28,51],standard:[16,23,26,54,56,59,70],start:[50,56],state:65,statu:58,step:[56,65],strategi:[3,45,63],strict:[11,33,43,54],strictli:33,string:70,structur:[10,41,56],style:74,sub:34,subgoal:65,subpattern:45,subrel:3,subset:52,substitut:53,substructur:12,subterm:[42,45],subtyp:[25,43],succe:53,success:53,suff:56,suggest:8,summari:[12,16,23],superclass:12,support:[28,51],survei:26,swap:65,symbol:[51,53],synopsi:56,syntact:[9,53,54],syntax:[3,16,23,28,43,45,53,54,56,70],system:[2,34],t:63,tabl:[20,28],tactic:[3,5,10,16,21,23,26,42,53,54,56,57,59,60,62,63,66,70,71,73],target:[2,52],templat:[33,51],term:[25,53,54,63,70],termin:[11,56],test:[52,53],theorem:57,theori:33,thi:10,time:[50,52,53],time_constr:53,timeout:53,tool:[16,23,75],top:[29,31,33],toplevel:53,trace:53,trail:43,transit:54,transpar:12,tree:66,tryif:53,two:[34,53],type:[2,3,4,16,25,26,27,29,31,33,34,36,37,39,43,45,53,54,56,58,66,70],type_scop:70,type_term:53,typeclass:[12,56],uip:11,under:[3,56],understand:45,undo:63,unfold:[3,40,63],unicod:51,unif:[13,57,65],uninstal:52,univers:13,unlock:56,unreleas:16,unset:28,until:57,untyp:53,unus:45,up:50,upgrad:52,us:[4,13,24,34,36,37,42,43,45,50,51,52,53,57,63,65,66,70],usag:[3,10,56,65,74],useless:2,user:[2,3,23,26],valu:[3,45,53,54],variabl:[10,42,43,45,50,51,54,65],varianc:13,variant:[39,45,56,57],variou:66,verbatim:74,version:[16,23,52],view:[5,56],vm_comput:63,vo:50,vocabulari:28,vs:[42,54,56],wai:[53,54],warn:[19,52],weak:13,well:[26,33],what:10,when:[43,45,56],wildcard:[45,56],wlog:56,work:[10,52,65],worker:8,write:[45,64,73],your:52,zifi:5}}) \ No newline at end of file +Search.setIndex({docnames:["addendum/canonical-structures","addendum/extended-pattern-matching","addendum/extraction","addendum/generalized-rewriting","addendum/implicit-coercions","addendum/micromega","addendum/miscellaneous-extensions","addendum/nsatz","addendum/parallel-proof-processing","addendum/program","addendum/ring","addendum/sprop","addendum/type-classes","addendum/universe-polymorphism","appendix/history-and-changes/index","appendix/indexes/index","changes","coq-attrindex","coq-cmdindex","coq-exnindex","coq-optindex","coq-tacindex","genindex","history","index","language/cic","language/coq-library","language/core/assumptions","language/core/basic","language/core/coinductive","language/core/conversion","language/core/definitions","language/core/index","language/core/inductive","language/core/modules","language/core/primitive","language/core/records","language/core/sections","language/core/sorts","language/core/variants","language/extensions/arguments-command","language/extensions/canonical","language/extensions/evars","language/extensions/implicit-arguments","language/extensions/index","language/extensions/match","language/gallina-extensions","language/gallina-specification-language","language/module-system","license","practical-tools/coq-commands","practical-tools/coqide","practical-tools/utilities","proof-engine/ltac","proof-engine/ltac2","proof-engine/proof-handling","proof-engine/ssreflect-proof-language","proof-engine/tactics","proof-engine/vernacular-commands","proofs/automatic-tactics/auto","proofs/automatic-tactics/index","proofs/automatic-tactics/logic","proofs/creating-tactics/index","proofs/writing-proofs/equality","proofs/writing-proofs/index","proofs/writing-proofs/proof-mode","proofs/writing-proofs/reasoning-inductives","proofs/writing-proofs/rewriting","std-glossindex","user-extensions/proof-schemes","user-extensions/syntax-extensions","using/libraries/funind","using/libraries/index","using/libraries/writing","using/tools/coqdoc","using/tools/index","zebibliography"],envversion:{"coqrst.coqdomain":2,"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":5,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.todo":2,sphinx:56},filenames:["addendum/canonical-structures.rst","addendum/extended-pattern-matching.rst","addendum/extraction.rst","addendum/generalized-rewriting.rst","addendum/implicit-coercions.rst","addendum/micromega.rst","addendum/miscellaneous-extensions.rst","addendum/nsatz.rst","addendum/parallel-proof-processing.rst","addendum/program.rst","addendum/ring.rst","addendum/sprop.rst","addendum/type-classes.rst","addendum/universe-polymorphism.rst","appendix/history-and-changes/index.rst","appendix/indexes/index.rst","changes.rst","coq-attrindex.rst","coq-cmdindex.rst","coq-exnindex.rst","coq-optindex.rst","coq-tacindex.rst","genindex.rst","history.rst","index.rst","language/cic.rst","language/coq-library.rst","language/core/assumptions.rst","language/core/basic.rst","language/core/coinductive.rst","language/core/conversion.rst","language/core/definitions.rst","language/core/index.rst","language/core/inductive.rst","language/core/modules.rst","language/core/primitive.rst","language/core/records.rst","language/core/sections.rst","language/core/sorts.rst","language/core/variants.rst","language/extensions/arguments-command.rst","language/extensions/canonical.rst","language/extensions/evars.rst","language/extensions/implicit-arguments.rst","language/extensions/index.rst","language/extensions/match.rst","language/gallina-extensions.rst","language/gallina-specification-language.rst","language/module-system.rst","license.rst","practical-tools/coq-commands.rst","practical-tools/coqide.rst","practical-tools/utilities.rst","proof-engine/ltac.rst","proof-engine/ltac2.rst","proof-engine/proof-handling.rst","proof-engine/ssreflect-proof-language.rst","proof-engine/tactics.rst","proof-engine/vernacular-commands.rst","proofs/automatic-tactics/auto.rst","proofs/automatic-tactics/index.rst","proofs/automatic-tactics/logic.rst","proofs/creating-tactics/index.rst","proofs/writing-proofs/equality.rst","proofs/writing-proofs/index.rst","proofs/writing-proofs/proof-mode.rst","proofs/writing-proofs/reasoning-inductives.rst","proofs/writing-proofs/rewriting.rst","std-glossindex.rst","user-extensions/proof-schemes.rst","user-extensions/syntax-extensions.rst","using/libraries/funind.rst","using/libraries/index.rst","using/libraries/writing.rst","using/tools/coqdoc.rst","using/tools/index.rst","zebibliography.rst"],objects:{"":[[70,0,1,"coq:exn.'via'-and-'abstract'-cannot-be-used-together","'via' and 'abstract' cannot be used together"],[53,1,1,"coq:tacn.+-(backtracking-branching)","+ (backtracking branching)"],[56,1,1,"coq:tacn.=>","=>"],[65,3,1,"coq:cmd.Abort","Abort"],[58,3,1,"coq:cmd.About","About"],[70,2,1,"coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-grammar-entry","Activation of abbreviations does not expect mentioning a grammar entry"],[70,2,1,"coq:warn.Activation-of-abbreviations-does-not-expect-mentioning-a-scope","Activation of abbreviations does not expect mentioning a scope"],[28,3,1,"coq:cmd.Add","Add"],[10,3,1,"coq:cmd.Add-Field","Add Field"],[3,3,1,"coq:cmd.Add-Morphism","Add Morphism"],[3,3,1,"coq:cmd.Add-Parametric-Morphism","Add Parametric Morphism"],[3,3,1,"coq:cmd.Add-Parametric-Relation","Add Parametric Relation"],[3,3,1,"coq:cmd.Add-Parametric-Setoid","Add Parametric Setoid"],[3,3,1,"coq:cmd.Add-Relation","Add Relation"],[10,3,1,"coq:cmd.Add-Ring","Add Ring"],[3,3,1,"coq:cmd.Add-Setoid","Add Setoid"],[5,3,1,"coq:cmd.Add-Zify","Add Zify"],[9,3,1,"coq:cmd.Admit-Obligations","Admit Obligations"],[65,3,1,"coq:cmd.Admitted","Admitted"],[11,4,1,"coq:flag.Allow-StrictProp","Allow StrictProp"],[43,0,1,"coq:exn.Argument-at-position-\u2018natural\u2019-is-mentioned-more-than-once","Argument at position \u2018natural\u2019 is mentioned more than once"],[53,0,1,"coq:exn.Argument-of-match-does-not-evaluate-to-a-term","Argument of match does not evaluate to a term"],[40,3,1,"coq:cmd.Arguments","Arguments"],[43,0,1,"coq:exn.Arguments-given-by-name-or-position-not-supported-in-explicit-mode","Arguments given by name or position not supported in explicit mode"],[10,0,1,"coq:exn.Arguments-of-ring_simplify-do-not-have-all-the-same-type","Arguments of ring_simplify do not have all the same type"],[40,0,1,"coq:exn.Arguments-of-section-variables-such-as-\u2018name\u2019-may-not-be-renamed","Arguments of section variables such as \u2018name\u2019 may not be renamed"],[45,4,1,"coq:flag.Asymmetric-Patterns","Asymmetric Patterns"],[65,0,1,"coq:exn.Attempt-to-save-an-incomplete-proof","Attempt to save an incomplete proof"],[28,3,1,"coq:cmd.Attributes","Attributes"],[33,4,1,"coq:flag.Auto-Template-Polymorphism","Auto Template Polymorphism"],[33,2,1,"coq:warn.Automatically-declaring-\u2018ident\u2019-as-template-polymorphic","Automatically declaring \u2018ident\u2019 as template polymorphic"],[27,3,1,"coq:cmd.Axiom","Axiom"],[27,3,1,"coq:cmd.Axioms","Axioms"],[58,3,1,"coq:cmd.Back","Back"],[58,3,1,"coq:cmd.BackTo","BackTo"],[10,0,1,"coq:exn.Bad-lemma-for-decidability-of-equality","Bad lemma for decidability of equality"],[58,0,1,"coq:exn.Bad-magic-number","Bad magic number"],[63,0,1,"coq:exn.Bad-occurrence-number-of-\u2018qualid\u2019","Bad occurrence number of \u2018qualid\u2019"],[11,2,1,"coq:warn.Bad-relevance","Bad relevance"],[10,0,1,"coq:exn.Bad-ring-structure","Bad ring structure"],[70,3,1,"coq:cmd.Bind-Scope","Bind Scope"],[66,4,1,"coq:flag.Boolean-Equality-Schemes","Boolean Equality Schemes"],[5,5,1,"coq:thm.Bound-on-the-ceiling-function","Bound on the ceiling function"],[65,0,1,"coq:exn.Brackets-do-not-support-multi-goal-selectors","Brackets do not support multi-goal selectors"],[65,6,1,"coq:opt.Bullet-Behavior","Bullet Behavior"],[71,2,1,"coq:warn.Cannot-build-functional-inversion-principle","Cannot build functional inversion principle"],[57,0,1,"coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-conclusion","Cannot change \u2018ident\u2019, it is used in conclusion"],[57,0,1,"coq:exn.Cannot-change-\u2018ident\u2019,-it-is-used-in-hypothesis-\u2018ident\u2019","Cannot change \u2018ident\u2019, it is used in hypothesis \u2018ident\u2019"],[59,0,1,"coq:exn.Cannot-coerce-\u2018qualid\u2019-to-an-evaluable-reference","Cannot coerce \u2018qualid\u2019 to an evaluable reference"],[71,2,1,"coq:warn.Cannot-define-graph-for-\u2018ident\u2019","Cannot define graph for \u2018ident\u2019"],[71,2,1,"coq:warn.Cannot-define-principle(s)-for-\u2018ident\u2019","Cannot define principle(s) for \u2018ident\u2019"],[10,0,1,"coq:exn.Cannot-find-a-declared-ring-structure-for-equality-\u2018term\u2019","Cannot find a declared ring structure for equality \u2018term\u2019"],[10,0,1,"coq:exn.Cannot-find-a-declared-ring-structure-over-\u2018term\u2019","Cannot find a declared ring structure over \u2018term\u2019"],[63,0,1,"coq:exn.Cannot-find-a-relation-to-rewrite","Cannot find a relation to rewrite"],[63,0,1,"coq:exn.Cannot-find-any-non-recursive-equality-over-\u2018ident\u2019","Cannot find any non-recursive equality over \u2018ident\u2019"],[71,0,1,"coq:exn.Cannot-find-induction-information-on-\u2018qualid\u2019","Cannot find induction information on \u2018qualid\u2019"],[71,0,1,"coq:exn.Cannot-find-inversion-information-for-hypothesis-\u2018ident\u2019","Cannot find inversion information for hypothesis \u2018ident\u2019"],[58,0,1,"coq:exn.Cannot-find-library-foo-in-loadpath","Cannot find library foo in loadpath"],[4,0,1,"coq:exn.Cannot-find-the-source-class-of-\u2018qualid\u2019","Cannot find the source class of \u2018qualid\u2019"],[4,0,1,"coq:exn.Cannot-find-the-target-class","Cannot find the target class"],[34,2,1,"coq:warn.Cannot-import-local-constant,-it-will-be-ignored","Cannot import local constant, it will be ignored"],[70,0,1,"coq:exn.Cannot-interpret-in-\u2018scope_name\u2019-because-\u2018qualid\u2019-could-not-be-found-in-the-current-environment","Cannot interpret in \u2018scope_name\u2019 because \u2018qualid\u2019 could not be found in the current environment"],[70,0,1,"coq:exn.Cannot-interpret-this-number-as-a-value-of-type-\u2018type\u2019","Cannot interpret this number as a value of type \u2018type\u2019"],[70,0,1,"coq:exn.Cannot-interpret-this-string-as-a-value-of-type-\u2018type\u2019","Cannot interpret this string as a value of type \u2018type\u2019"],[58,0,1,"coq:exn.Cannot-load-\u2018qualid\u2019:-no-physical-path-bound-to-\u2018dirpath\u2019","Cannot load \u2018qualid\u2019: no physical path bound to \u2018dirpath\u2019"],[57,0,1,"coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-depends-on-\u2018ident\u2019","Cannot move \u2018ident\u2019 after \u2018ident\u2019: it depends on \u2018ident\u2019"],[57,0,1,"coq:exn.Cannot-move-\u2018ident\u2019-after-\u2018ident\u2019:-it-occurs-in-the-type-of-\u2018ident\u2019","Cannot move \u2018ident\u2019 after \u2018ident\u2019: it occurs in the type of \u2018ident\u2019"],[61,0,1,"coq:exn.Cannot-recognize-a-boolean-equality","Cannot recognize a boolean equality"],[66,0,1,"coq:exn.Cannot-recognize-a-statement-based-on-\u2018reference\u2019","Cannot recognize a statement based on \u2018reference\u2019"],[4,0,1,"coq:exn.Cannot-recognize-\u2018coercion_class\u2019-as-a-source-class-of-\u2018qualid\u2019","Cannot recognize \u2018coercion_class\u2019 as a source class of \u2018qualid\u2019"],[63,0,1,"coq:exn.Cannot-turn-[inductive|constructor]-into-an-evaluable-reference","Cannot turn [inductive|constructor] into an evaluable reference"],[71,0,1,"coq:exn.Cannot-use-mutual-definition-with-well-founded-recursion-or-measure","Cannot use mutual definition with well-founded recursion or measure"],[41,3,1,"coq:cmd.Canonical-Structure","Canonical Structure"],[58,0,1,"coq:exn.Can\u2019t-find-file-\u2018ident\u2019-on-loadpath","Can\u2019t find file \u2018ident\u2019 on loadpath"],[66,4,1,"coq:flag.Case-Analysis-Schemes","Case Analysis Schemes"],[5,5,1,"coq:thm.Case-split","Case split"],[39,0,1,"coq:exn.Casts-are-not-supported-in-this-pattern","Casts are not supported in this pattern"],[2,3,1,"coq:cmd.Cd","Cd"],[58,3,1,"coq:cmd.Check","Check"],[12,3,1,"coq:cmd.Class","Class"],[70,3,1,"coq:cmd.Close-Scope","Close Scope"],[29,3,1,"coq:cmd.CoFixpoint","CoFixpoint"],[29,3,1,"coq:cmd.CoInductive","CoInductive"],[4,3,1,"coq:cmd.Coercion","Coercion"],[65,3,1,"coq:cmd.Collection","Collection"],[66,3,1,"coq:cmd.Combined-Scheme","Combined Scheme"],[28,3,1,"coq:cmd.Comments","Comments"],[63,3,1,"coq:cmd.Compute","Compute"],[53,0,1,"coq:exn.Condition-not-satisfied","Condition not satisfied"],[27,3,1,"coq:cmd.Conjecture","Conjecture"],[27,3,1,"coq:cmd.Conjectures","Conjectures"],[13,3,1,"coq:cmd.Constraint","Constraint"],[37,3,1,"coq:cmd.Context","Context"],[43,4,1,"coq:flag.Contextual-Implicit","Contextual Implicit"],[50,4,1,"coq:flag.Coqtop-Exit-On-Error","Coqtop Exit On Error"],[31,3,1,"coq:cmd.Corollary","Corollary"],[59,3,1,"coq:cmd.Create-HintDb","Create HintDb"],[13,7,1,"coq:attr.Cumulative","Cumulative"],[13,4,1,"coq:flag.Cumulativity-Weak-Constraints","Cumulativity Weak Constraints"],[53,3,1,"coq:cmd.Debug","Debug"],[58,6,1,"coq:opt.Debug","Debug"],[59,4,1,"coq:flag.Debug-Auto","Debug Auto"],[59,4,1,"coq:flag.Debug-Eauto","Debug Eauto"],[56,4,1,"coq:flag.Debug-SsrMatching","Debug SsrMatching"],[56,4,1,"coq:flag.Debug-Ssreflect","Debug Ssreflect"],[59,4,1,"coq:flag.Debug-Trivial","Debug Trivial"],[53,0,1,"coq:exn.Debug-mode-not-available-in-the-IDE","Debug mode not available in the IDE"],[66,4,1,"coq:flag.Decidable-Equality-Schemes","Decidable Equality Schemes"],[70,3,1,"coq:cmd.Declare-Custom-Entry","Declare Custom Entry"],[63,3,1,"coq:cmd.Declare-Equivalent-Keys","Declare Equivalent Keys"],[12,3,1,"coq:cmd.Declare-Instance","Declare Instance"],[63,3,1,"coq:cmd.Declare-Left-Step","Declare Left Step"],[58,3,1,"coq:cmd.Declare-ML-Module","Declare ML Module"],[34,3,1,"coq:cmd.Declare-Module","Declare Module"],[3,3,1,"coq:cmd.Declare-Morphism","Declare Morphism"],[63,3,1,"coq:cmd.Declare-Reduction","Declare Reduction"],[63,3,1,"coq:cmd.Declare-Right-Step","Declare Right Step"],[70,3,1,"coq:cmd.Declare-Scope","Declare Scope"],[59,2,1,"coq:warn.Declaring-arbitrary-terms-as-hints-is-fragile;-it-is-recommended-to-declare-a-toplevel-constant-instead","Declaring arbitrary terms as hints is fragile; it is recommended to declare a toplevel constant instead"],[57,6,1,"coq:opt.Default-Goal-Selector","Default Goal Selector"],[65,6,1,"coq:opt.Default-Proof-Mode","Default Proof Mode"],[65,6,1,"coq:opt.Default-Proof-Using","Default Proof Using"],[58,6,1,"coq:opt.Default-Timeout","Default Timeout"],[65,3,1,"coq:cmd.Defined","Defined"],[31,3,1,"coq:cmd.Definition","Definition"],[11,4,1,"coq:flag.Definitional-UIP","Definitional UIP"],[70,3,1,"coq:cmd.Delimit-Scope","Delimit Scope"],[6,3,1,"coq:cmd.Derive","Derive"],[66,3,1,"coq:cmd.Derive-Dependent-Inversion","Derive Dependent Inversion"],[66,3,1,"coq:cmd.Derive-Dependent-Inversion_clear","Derive Dependent Inversion_clear"],[66,3,1,"coq:cmd.Derive-Inversion","Derive Inversion"],[66,3,1,"coq:cmd.Derive-Inversion_clear","Derive Inversion_clear"],[65,6,1,"coq:opt.Diffs","Diffs"],[70,3,1,"coq:cmd.Disable-Notation","Disable Notation"],[58,3,1,"coq:cmd.Drop","Drop"],[5,6,1,"coq:opt.Dump-Arith","Dump Arith"],[58,0,1,"coq:exn.Dynlink-error:-execution-of-module-initializers-in-the","Dynlink error: execution of module initializers in the"],[45,0,1,"coq:exn.Either-there-is-a-type-incompatibility-or-the-problem-involves-dependencies","Either there is a type incompatibility or the problem involves dependencies"],[66,4,1,"coq:flag.Elimination-Schemes","Elimination Schemes"],[70,3,1,"coq:cmd.Enable-Notation","Enable Notation"],[37,3,1,"coq:cmd.End","End"],[70,0,1,"coq:exn.End-of-quoted-string-not-followed-by-a-space-in-notation","End of quoted string not followed by a space in notation"],[63,3,1,"coq:cmd.Eval","Eval"],[31,3,1,"coq:cmd.Example","Example"],[12,3,1,"coq:cmd.Existing-Class","Existing Class"],[12,3,1,"coq:cmd.Existing-Instance","Existing Instance"],[12,3,1,"coq:cmd.Existing-Instances","Existing Instances"],[34,3,1,"coq:cmd.Export","Export"],[53,0,1,"coq:exn.Expression-does-not-evaluate-to-a-tactic","Expression does not evaluate to a tactic"],[2,3,1,"coq:cmd.Extract-Constant","Extract Constant"],[2,3,1,"coq:cmd.Extract-Inductive","Extract Inductive"],[2,3,1,"coq:cmd.Extract-Inlined-Constant","Extract Inlined Constant"],[2,3,1,"coq:cmd.Extraction","Extraction"],[2,4,1,"coq:flag.Extraction-AutoInline","Extraction AutoInline"],[2,3,1,"coq:cmd.Extraction-Blacklist","Extraction Blacklist"],[2,4,1,"coq:flag.Extraction-Conservative-Types","Extraction Conservative Types"],[2,6,1,"coq:opt.Extraction-File-Comment","Extraction File Comment"],[2,6,1,"coq:opt.Extraction-Flag","Extraction Flag"],[2,3,1,"coq:cmd.Extraction-Implicit","Extraction Implicit"],[2,3,1,"coq:cmd.Extraction-Inline","Extraction Inline"],[2,4,1,"coq:flag.Extraction-KeepSingleton","Extraction KeepSingleton"],[2,3,1,"coq:cmd.Extraction-Language","Extraction Language"],[2,3,1,"coq:cmd.Extraction-Library","Extraction Library"],[2,3,1,"coq:cmd.Extraction-NoInline","Extraction NoInline"],[2,4,1,"coq:flag.Extraction-Optimize","Extraction Optimize"],[2,6,1,"coq:opt.Extraction-Output-Directory","Extraction Output Directory"],[2,4,1,"coq:flag.Extraction-SafeImplicits","Extraction SafeImplicits"],[2,3,1,"coq:cmd.Extraction-TestCompile","Extraction TestCompile"],[2,4,1,"coq:flag.Extraction-TypeExpand","Extraction TypeExpand"],[31,3,1,"coq:cmd.Fact","Fact"],[58,3,1,"coq:cmd.Fail","Fail"],[53,0,1,"coq:exn.Failed-to-progress","Failed to progress"],[58,4,1,"coq:flag.Fast-Name-Printing","Fast Name Printing"],[58,0,1,"coq:exn.File-not-found-on-loadpath:-\u2018string\u2019","File not found on loadpath: \u2018string\u2019"],[58,0,1,"coq:exn.Files-processed-by-Load-cannot-leave-open-proofs","Files processed by Load cannot leave open proofs"],[9,3,1,"coq:cmd.Final-Obligation","Final Obligation"],[61,6,1,"coq:opt.Firstorder-Depth","Firstorder Depth"],[61,6,1,"coq:opt.Firstorder-Solver","Firstorder Solver"],[33,3,1,"coq:cmd.Fixpoint","Fixpoint"],[40,0,1,"coq:exn.Flag-'rename'-expected-to-rename-\u2018name\u2019-into-\u2018name\u2019","Flag 'rename' expected to rename \u2018name\u2019 into \u2018name\u2019"],[65,3,1,"coq:cmd.Focus","Focus"],[45,0,1,"coq:exn.Found-a-constructor-of-inductive-type-term-while-a-constructor-of-term-is-expected","Found a constructor of inductive type term while a constructor of term is expected"],[63,0,1,"coq:exn.Found-an-\"at\"-clause-without-\"with\"-clause","Found an "at" clause without "with" clause"],[70,0,1,"coq:exn.Found-no-matching-notation-to-enable-or-disable","Found no matching notation to enable or disable"],[63,0,1,"coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-the-current-goal","Found no subterm matching \u2018term\u2019 in the current goal"],[63,0,1,"coq:exn.Found-no-subterm-matching-\u2018term\u2019-in-\u2018ident\u2019","Found no subterm matching \u2018term\u2019 in \u2018ident\u2019"],[4,0,1,"coq:exn.Found-target-class-\u2018coercion_class\u2019-instead-of-\u2018coercion_class\u2019","Found target class \u2018coercion_class\u2019 instead of \u2018coercion_class\u2019"],[58,3,1,"coq:cmd.From-\u2026-Dependency","From \u2026 Dependency"],[58,3,1,"coq:cmd.From-\u2026-Require","From \u2026 Require"],[4,0,1,"coq:exn.Funclass-cannot-be-a-source-class","Funclass cannot be a source class"],[71,3,1,"coq:cmd.Function","Function"],[71,3,1,"coq:cmd.Functional-Case","Functional Case"],[71,3,1,"coq:cmd.Functional-Scheme","Functional Scheme"],[43,3,1,"coq:cmd.Generalizable","Generalizable"],[71,3,1,"coq:cmd.Generate-graph-for","Generate graph for"],[65,3,1,"coq:cmd.Goal","Goal"],[58,4,1,"coq:flag.Guard-Checking","Guard Checking"],[65,3,1,"coq:cmd.Guarded","Guarded"],[59,3,1,"coq:cmd.Hint-Constants","Hint Constants"],[59,3,1,"coq:cmd.Hint-Constructors","Hint Constructors"],[59,3,1,"coq:cmd.Hint-Cut","Hint Cut"],[59,3,1,"coq:cmd.Hint-Extern","Hint Extern"],[59,3,1,"coq:cmd.Hint-Immediate","Hint Immediate"],[59,3,1,"coq:cmd.Hint-Mode","Hint Mode"],[59,3,1,"coq:cmd.Hint-Opaque","Hint Opaque"],[59,3,1,"coq:cmd.Hint-Resolve","Hint Resolve"],[59,3,1,"coq:cmd.Hint-Rewrite","Hint Rewrite"],[59,3,1,"coq:cmd.Hint-Transparent","Hint Transparent"],[59,3,1,"coq:cmd.Hint-Unfold","Hint Unfold"],[59,3,1,"coq:cmd.Hint-Variables","Hint Variables"],[56,3,1,"coq:cmd.Hint-View-for","Hint View for"],[56,3,1,"coq:cmd.Hint-View-for-apply","Hint View for apply"],[56,3,1,"coq:cmd.Hint-View-for-move","Hint View for move"],[27,3,1,"coq:cmd.Hypotheses","Hypotheses"],[27,3,1,"coq:cmd.Hypothesis","Hypothesis"],[71,0,1,"coq:exn.Hypothesis-\u2018ident\u2019-must-contain-at-least-one-Function","Hypothesis \u2018ident\u2019 must contain at least one Function"],[65,6,1,"coq:opt.Hyps-Limit","Hyps Limit"],[61,0,1,"coq:exn.I-don\u2019t-know-how-to-handle-dependent-equality","I don\u2019t know how to handle dependent equality"],[4,3,1,"coq:cmd.Identity-Coercion","Identity Coercion"],[12,2,1,"coq:warn.Ignored-instance-declaration-for-\u201c\u2018ident\u2019\u201d:-\u201c\u2018term\u2019\u201d-is-not-a-class","Ignored instance declaration for \u201c\u2018ident\u2019\u201d: \u201c\u2018term\u2019\u201d is not a class"],[43,2,1,"coq:warn.Ignoring-implicit-binder-declaration-in-unexpected-position","Ignoring implicit binder declaration in unexpected position"],[9,0,1,"coq:exn.Ill-formed-recursive-definition","Ill-formed recursive definition"],[33,0,1,"coq:exn.Ill-formed-template-inductive-declaration:-not-polymorphic-on-any-universe","Ill-formed template inductive declaration: not polymorphic on any universe"],[43,4,1,"coq:flag.Implicit-Arguments","Implicit Arguments"],[43,3,1,"coq:cmd.Implicit-Type","Implicit Type"],[43,3,1,"coq:cmd.Implicit-Types","Implicit Types"],[34,3,1,"coq:cmd.Import","Import"],[34,3,1,"coq:cmd.Include","Include"],[34,3,1,"coq:cmd.Include-Type","Include Type"],[56,0,1,"coq:exn.Incorrect-number-of-tactics-(expected-N-tactics,-was-given-M)","Incorrect number of tactics (expected N tactics, was given M)"],[33,3,1,"coq:cmd.Inductive","Inductive"],[70,3,1,"coq:cmd.Infix","Infix"],[53,3,1,"coq:cmd.Info","Info"],[59,4,1,"coq:flag.Info-Auto","Info Auto"],[59,4,1,"coq:flag.Info-Eauto","Info Eauto"],[53,6,1,"coq:opt.Info-Level","Info Level"],[59,4,1,"coq:flag.Info-Trivial","Info Trivial"],[58,3,1,"coq:cmd.Inspect","Inspect"],[12,3,1,"coq:cmd.Instance","Instance"],[58,3,1,"coq:cmd.Instructions","Instructions"],[61,4,1,"coq:flag.Intuition-Negation-Unfolding","Intuition Negation Unfolding"],[58,0,1,"coq:exn.Invalid-backtrack","Invalid backtrack"],[66,8,1,"coq:table.Keep-Equalities","Keep Equalities"],[66,4,1,"coq:flag.Keep-Proof-Equalities","Keep Proof Equalities"],[63,4,1,"coq:flag.Kernel-Term-Sharing","Kernel Term Sharing"],[63,4,1,"coq:flag.Keyed-Unification","Keyed Unification"],[37,0,1,"coq:exn.Last-block-to-end-has-name-\u2018ident\u2019","Last block to end has name \u2018ident\u2019"],[31,3,1,"coq:cmd.Lemma","Lemma"],[37,3,1,"coq:cmd.Let","Let"],[37,3,1,"coq:cmd.Let-CoFixpoint","Let CoFixpoint"],[37,3,1,"coq:cmd.Let-Fixpoint","Let Fixpoint"],[5,4,1,"coq:flag.Lia-Cache","Lia Cache"],[58,3,1,"coq:cmd.Load","Load"],[58,0,1,"coq:exn.Load-is-not-supported-inside-proofs","Load is not supported inside proofs"],[58,3,1,"coq:cmd.Locate","Locate"],[58,3,1,"coq:cmd.Locate-File","Locate File"],[58,3,1,"coq:cmd.Locate-Library","Locate Library"],[58,3,1,"coq:cmd.Locate-Ltac","Locate Ltac"],[58,3,1,"coq:cmd.Locate-Ltac2","Locate Ltac2"],[58,3,1,"coq:cmd.Locate-Module","Locate Module"],[58,3,1,"coq:cmd.Locate-Term","Locate Term"],[59,6,1,"coq:opt.Loose-Hint-Behavior","Loose Hint Behavior"],[53,3,1,"coq:cmd.Ltac","Ltac"],[53,4,1,"coq:flag.Ltac-Backtrace","Ltac Backtrace"],[53,4,1,"coq:flag.Ltac-Batch-Debug","Ltac Batch Debug"],[53,4,1,"coq:flag.Ltac-Debug","Ltac Debug"],[53,4,1,"coq:flag.Ltac-Profiling","Ltac Profiling"],[54,3,1,"coq:cmd.Ltac2","Ltac2"],[54,4,1,"coq:flag.Ltac2-Backtrace","Ltac2 Backtrace"],[54,3,1,"coq:cmd.Ltac2-Check","Ltac2 Check"],[54,3,1,"coq:cmd.Ltac2-Eval","Ltac2 Eval"],[54,3,1,"coq:cmd.Ltac2-Globalize","Ltac2 Globalize"],[54,4,1,"coq:flag.Ltac2-In-Ltac1-Profiling","Ltac2 In Ltac1 Profiling"],[54,3,1,"coq:cmd.Ltac2-Notation","Ltac2 Notation"],[54,3,1,"coq:cmd.Ltac2-Notation-(abbreviation)","Ltac2 Notation (abbreviation)"],[54,3,1,"coq:cmd.Ltac2-Set","Ltac2 Set"],[54,3,1,"coq:cmd.Ltac2-Type","Ltac2 Type"],[54,3,1,"coq:cmd.Ltac2-external","Ltac2 external"],[43,2,1,"coq:warn.Making-shadowed-name-of-implicit-argument-accessible-by-position","Making shadowed name of implicit argument accessible by position"],[65,4,1,"coq:flag.Mangle-Names","Mangle Names"],[65,4,1,"coq:flag.Mangle-Names-Light","Mangle Names Light"],[65,6,1,"coq:opt.Mangle-Names-Prefix","Mangle Names Prefix"],[43,4,1,"coq:flag.Maximal-Implicit-Insertion","Maximal Implicit Insertion"],[70,0,1,"coq:exn.Missing-mapping-for-constructor-\u2018qualid\u2019","Missing mapping for constructor \u2018qualid\u2019"],[34,3,1,"coq:cmd.Module","Module"],[34,3,1,"coq:cmd.Module-Type","Module Type"],[58,0,1,"coq:exn.Module/section-\u2018qualid\u2019-not-found","Module/section \u2018qualid\u2019 not found"],[13,7,1,"coq:attr.Monomorphic","Monomorphic"],[70,0,1,"coq:exn.More-than-one-interpretation-bound-to-this-notation,-confirm-with-the-\"all\"-modifier","More than one interpretation bound to this notation, confirm with the "all" modifier"],[70,0,1,"coq:exn.Multiple-'via'-options","Multiple 'via' options"],[70,0,1,"coq:exn.Multiple-'warning-after'-or-'abstract-after'-options","Multiple 'warning after' or 'abstract after' options"],[63,6,1,"coq:opt.NativeCompute-Profile-Filename","NativeCompute Profile Filename"],[63,4,1,"coq:flag.NativeCompute-Profiling","NativeCompute Profiling"],[63,4,1,"coq:flag.NativeCompute-Timing","NativeCompute Timing"],[65,4,1,"coq:flag.Nested-Proofs-Allowed","Nested Proofs Allowed"],[65,2,1,"coq:warn.New-Collection-definition-of-\u2018ident\u2019-shadows-the-previous-one","New Collection definition of \u2018ident\u2019 shadows the previous one"],[9,3,1,"coq:cmd.Next-Obligation","Next Obligation"],[5,4,1,"coq:flag.Nia-Cache","Nia Cache"],[53,0,1,"coq:exn.No-applicable-tactic","No applicable tactic"],[71,0,1,"coq:exn.No-argument-name-\u2018ident\u2019","No argument name \u2018ident\u2019"],[53,0,1,"coq:exn.No-evars","No evars"],[34,0,1,"coq:exn.No-field-named-\u2018ident\u2019-in-\u2018qualid\u2019","No field named \u2018ident\u2019 in \u2018qualid\u2019"],[65,0,1,"coq:exn.No-focused-proof","No focused proof"],[65,0,1,"coq:exn.No-focused-proof-(No-proof-editing-in-progress)","No focused proof (No proof-editing in progress)"],[65,0,1,"coq:exn.No-focused-proof-to-restart","No focused proof to restart"],[63,0,1,"coq:exn.No-head-constant-to-reduce","No head constant to reduce"],[53,0,1,"coq:exn.No-matching-clauses-for-match","No matching clauses for match"],[53,0,1,"coq:exn.No-matching-clauses-for-match-goal","No matching clauses for match goal"],[70,0,1,"coq:exn.No-notation-provided","No notation provided"],[66,0,1,"coq:exn.No-primitive-equality-found","No primitive equality found"],[57,0,1,"coq:exn.No-product-even-after-head-reduction","No product even after head-reduction"],[3,0,1,"coq:exn.No-progress-made","No progress made"],[57,0,1,"coq:exn.No-quantified-hypothesis-named-\u2018ident\u2019-in-current-goal-even-after-head-reduction","No quantified hypothesis named \u2018ident\u2019 in current goal even after head-reduction"],[57,0,1,"coq:exn.No-such-assumption","No such assumption"],[57,0,1,"coq:exn.No-such-binder","No such binder"],[57,0,1,"coq:exn.No-such-bound-variable-\u2018ident\u2019-(no-bound-variables-at-all-in-the-expression)","No such bound variable \u2018ident\u2019 (no bound variables at all in the expression)"],[65,0,1,"coq:exn.No-such-goal","No such goal"],[65,0,1,"coq:exn.No-such-goal-(\u2018ident\u2019)","No such goal (\u2018ident\u2019)"],[65,0,1,"coq:exn.No-such-goal-(\u2018natural\u2019)","No such goal (\u2018natural\u2019)"],[57,0,1,"coq:exn.No-such-hypothesis:-\u2018ident\u2019","No such hypothesis: \u2018ident\u2019"],[57,0,1,"coq:exn.No-\u2018natural\u2019-th-non-dependent-hypothesis-in-current-goal-even-after-head-reduction","No \u2018natural\u2019-th non dependent hypothesis in current goal even after head-reduction"],[45,0,1,"coq:exn.Non-exhaustive-pattern-matching","Non exhaustive pattern matching"],[9,0,1,"coq:exn.Non-extensible-universe-declaration-not-supported-with-monomorphic-Program-Definition","Non extensible universe declaration not supported with monomorphic Program Definition"],[33,0,1,"coq:exn.Non-strictly-positive-occurrence-of-\u2018ident\u2019-in-\u2018type\u2019","Non strictly positive occurrence of \u2018ident\u2019 in \u2018type\u2019"],[13,7,1,"coq:attr.NonCumulative","NonCumulative"],[66,4,1,"coq:flag.Nonrecursive-Elimination-Schemes","Nonrecursive Elimination Schemes"],[53,0,1,"coq:exn.Not-a-context-variable","Not a context variable"],[66,0,1,"coq:exn.Not-a-discriminable-equality","Not a discriminable equality"],[66,0,1,"coq:exn.Not-a-negated-primitive-equality","Not a negated primitive equality"],[10,0,1,"coq:exn.Not-a-valid-ring-equation","Not a valid ring equation"],[53,0,1,"coq:exn.Not-a-variable-or-hypothesis","Not a variable or hypothesis"],[53,0,1,"coq:exn.Not-an-evar","Not an evar"],[57,0,1,"coq:exn.Not-an-exact-proof","Not an exact proof"],[66,0,1,"coq:exn.Not-an-inductive-goal-with-1-constructor","Not an inductive goal with 1 constructor"],[66,0,1,"coq:exn.Not-an-inductive-goal-with-2-constructors","Not an inductive goal with 2 constructors"],[66,0,1,"coq:exn.Not-an-inductive-product","Not an inductive product"],[63,0,1,"coq:exn.Not-convertible","Not convertible"],[66,0,1,"coq:exn.Not-enough-constructors","Not enough constructors"],[43,0,1,"coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018ident\u2019","Not enough non implicit arguments to accept the argument bound to \u2018ident\u2019"],[43,0,1,"coq:exn.Not-enough-non-implicit-arguments-to-accept-the-argument-bound-to-\u2018natural\u2019","Not enough non implicit arguments to accept the argument bound to \u2018natural\u2019"],[53,0,1,"coq:exn.Not-equal","Not equal"],[53,0,1,"coq:exn.Not-equal-(due-to-universes)","Not equal (due to universes)"],[53,0,1,"coq:exn.Not-ground","Not ground"],[71,0,1,"coq:exn.Not-the-right-number-of-induction-arguments","Not the right number of induction arguments"],[57,0,1,"coq:exn.Not-the-right-number-of-missing-arguments-(expected-\u2018natural\u2019)","Not the right number of missing arguments (expected \u2018natural\u2019)"],[70,3,1,"coq:cmd.Notation","Notation"],[70,3,1,"coq:cmd.Notation-(abbreviation)","Notation (abbreviation)"],[54,0,1,"coq:exn.Notation-levels-must-range-between-0-and-6","Notation levels must range between 0 and 6"],[66,0,1,"coq:exn.Nothing-to-inject","Nothing to inject"],[3,0,1,"coq:exn.Nothing-to-rewrite","Nothing to rewrite"],[5,4,1,"coq:flag.Nra-Cache","Nra Cache"],[70,3,1,"coq:cmd.Number-Notation","Number Notation"],[9,3,1,"coq:cmd.Obligation","Obligation"],[9,3,1,"coq:cmd.Obligation-Tactic","Obligation Tactic"],[9,3,1,"coq:cmd.Obligations","Obligations"],[63,3,1,"coq:cmd.Opaque","Opaque"],[70,3,1,"coq:cmd.Open-Scope","Open Scope"],[65,3,1,"coq:cmd.Optimize-Heap","Optimize Heap"],[65,3,1,"coq:cmd.Optimize-Proof","Optimize Proof"],[27,3,1,"coq:cmd.Parameter","Parameter"],[27,3,1,"coq:cmd.Parameters","Parameters"],[43,4,1,"coq:flag.Parsing-Explicit","Parsing Explicit"],[13,7,1,"coq:attr.Polymorphic","Polymorphic"],[13,4,1,"coq:flag.Polymorphic-Inductive-Cumulativity","Polymorphic Inductive Cumulativity"],[13,0,1,"coq:exn.Polymorphic-universe-constraints-can-only-be-declared-inside-sections,-use-Monomorphic-Constraint-instead","Polymorphic universe constraints can only be declared inside sections, use Monomorphic Constraint instead"],[13,0,1,"coq:exn.Polymorphic-universes-can-only-be-declared-inside-sections,-use-Monomorphic-Universe-instead","Polymorphic universes can only be declared inside sections, use Monomorphic Universe instead"],[58,4,1,"coq:flag.Positivity-Checking","Positivity Checking"],[56,3,1,"coq:cmd.Prenex-Implicits","Prenex Implicits"],[9,3,1,"coq:cmd.Preterm","Preterm"],[58,3,1,"coq:cmd.Primitive","Primitive"],[36,4,1,"coq:flag.Primitive-Projections","Primitive Projections"],[58,3,1,"coq:cmd.Print","Print"],[58,3,1,"coq:cmd.Print-All","Print All"],[58,3,1,"coq:cmd.Print-All-Dependencies","Print All Dependencies"],[58,3,1,"coq:cmd.Print-Assumptions","Print Assumptions"],[41,3,1,"coq:cmd.Print-Canonical-Projections","Print Canonical Projections"],[4,3,1,"coq:cmd.Print-Classes","Print Classes"],[4,3,1,"coq:cmd.Print-Coercion-Paths","Print Coercion Paths"],[4,3,1,"coq:cmd.Print-Coercions","Print Coercions"],[70,3,1,"coq:cmd.Print-Custom-Grammar","Print Custom Grammar"],[65,3,1,"coq:cmd.Print-Debug-GC","Print Debug GC"],[63,3,1,"coq:cmd.Print-Equivalent-Keys","Print Equivalent Keys"],[2,3,1,"coq:cmd.Print-Extraction-Blacklist","Print Extraction Blacklist"],[2,3,1,"coq:cmd.Print-Extraction-Inline","Print Extraction Inline"],[10,3,1,"coq:cmd.Print-Fields","Print Fields"],[61,3,1,"coq:cmd.Print-Firstorder-Solver","Print Firstorder Solver"],[70,3,1,"coq:cmd.Print-Grammar","Print Grammar"],[4,3,1,"coq:cmd.Print-Graph","Print Graph"],[59,3,1,"coq:cmd.Print-Hint","Print Hint"],[59,3,1,"coq:cmd.Print-HintDb","Print HintDb"],[43,3,1,"coq:cmd.Print-Implicit","Print Implicit"],[12,3,1,"coq:cmd.Print-Instances","Print Instances"],[70,3,1,"coq:cmd.Print-Keywords","Print Keywords"],[58,3,1,"coq:cmd.Print-Libraries","Print Libraries"],[58,3,1,"coq:cmd.Print-LoadPath","Print LoadPath"],[53,3,1,"coq:cmd.Print-Ltac","Print Ltac"],[53,3,1,"coq:cmd.Print-Ltac-Signatures","Print Ltac Signatures"],[54,3,1,"coq:cmd.Print-Ltac2","Print Ltac2"],[54,3,1,"coq:cmd.Print-Ltac2-Signatures","Print Ltac2 Signatures"],[54,3,1,"coq:cmd.Print-Ltac2-Type","Print Ltac2 Type"],[58,3,1,"coq:cmd.Print-ML-Modules","Print ML Modules"],[58,3,1,"coq:cmd.Print-ML-Path","Print ML Path"],[34,3,1,"coq:cmd.Print-Module","Print Module"],[34,3,1,"coq:cmd.Print-Module-Type","Print Module Type"],[34,3,1,"coq:cmd.Print-Namespace","Print Namespace"],[70,3,1,"coq:cmd.Print-Notation","Print Notation"],[58,3,1,"coq:cmd.Print-Opaque-Dependencies","Print Opaque Dependencies"],[28,3,1,"coq:cmd.Print-Options","Print Options"],[58,3,1,"coq:cmd.Print-Registered","Print Registered"],[59,3,1,"coq:cmd.Print-Rewrite-HintDb","Print Rewrite HintDb"],[10,3,1,"coq:cmd.Print-Rings","Print Rings"],[70,3,1,"coq:cmd.Print-Scope","Print Scope"],[70,3,1,"coq:cmd.Print-Scopes","Print Scopes"],[58,3,1,"coq:cmd.Print-Section","Print Section"],[63,3,1,"coq:cmd.Print-Strategies","Print Strategies"],[63,3,1,"coq:cmd.Print-Strategy","Print Strategy"],[28,3,1,"coq:cmd.Print-Table","Print Table"],[28,3,1,"coq:cmd.Print-Tables","Print Tables"],[58,3,1,"coq:cmd.Print-Transparent-Dependencies","Print Transparent Dependencies"],[12,3,1,"coq:cmd.Print-Typeclasses","Print Typeclasses"],[58,3,1,"coq:cmd.Print-Typing-Flags","Print Typing Flags"],[13,3,1,"coq:cmd.Print-Universes","Print Universes"],[70,3,1,"coq:cmd.Print-Visibility","Print Visibility"],[58,4,1,"coq:flag.Printing-All","Printing All"],[45,4,1,"coq:flag.Printing-Allow-Match-Default-Clause","Printing Allow Match Default Clause"],[4,8,1,"coq:table.Printing-Coercion","Printing Coercion"],[4,4,1,"coq:flag.Printing-Coercions","Printing Coercions"],[58,4,1,"coq:flag.Printing-Compact-Contexts","Printing Compact Contexts"],[36,8,1,"coq:table.Printing-Constructor","Printing Constructor"],[58,4,1,"coq:flag.Printing-Dependent-Evars-Line","Printing Dependent Evars Line"],[58,6,1,"coq:opt.Printing-Depth","Printing Depth"],[42,4,1,"coq:flag.Printing-Existential-Instances","Printing Existential Instances"],[45,4,1,"coq:flag.Printing-Factorizable-Match-Patterns","Printing Factorizable Match Patterns"],[26,4,1,"coq:flag.Printing-Float","Printing Float"],[65,4,1,"coq:flag.Printing-Goal-Names","Printing Goal Names"],[65,4,1,"coq:flag.Printing-Goal-Tags","Printing Goal Tags"],[45,8,1,"coq:table.Printing-If","Printing If"],[43,4,1,"coq:flag.Printing-Implicit","Printing Implicit"],[43,4,1,"coq:flag.Printing-Implicit-Defensive","Printing Implicit Defensive"],[45,8,1,"coq:table.Printing-Let","Printing Let"],[45,4,1,"coq:flag.Printing-Match-All-Subterms","Printing Match All Subterms"],[45,4,1,"coq:flag.Printing-Matching","Printing Matching"],[70,4,1,"coq:flag.Printing-Notations","Printing Notations"],[70,4,1,"coq:flag.Printing-Parentheses","Printing Parentheses"],[36,4,1,"coq:flag.Printing-Primitive-Projection-Parameters","Printing Primitive Projection Parameters"],[36,4,1,"coq:flag.Printing-Projections","Printing Projections"],[70,4,1,"coq:flag.Printing-Raw-Literals","Printing Raw Literals"],[36,8,1,"coq:table.Printing-Record","Printing Record"],[36,4,1,"coq:flag.Printing-Records","Printing Records"],[11,4,1,"coq:flag.Printing-Relevance-Marks","Printing Relevance Marks"],[45,4,1,"coq:flag.Printing-Synth","Printing Synth"],[58,4,1,"coq:flag.Printing-Unfocused","Printing Unfocused"],[36,4,1,"coq:flag.Printing-Unfolded-Projection-As-Match","Printing Unfolded Projection As Match"],[13,4,1,"coq:flag.Printing-Universes","Printing Universes"],[43,4,1,"coq:flag.Printing-Use-Implicit-Types","Printing Use Implicit Types"],[58,6,1,"coq:opt.Printing-Width","Printing Width"],[45,4,1,"coq:flag.Printing-Wildcard","Printing Wildcard"],[39,7,1,"coq:attr.Private","Private"],[13,4,1,"coq:flag.Private-Polymorphic-Universes","Private Polymorphic Universes"],[9,7,1,"coq:attr.Program","Program"],[9,4,1,"coq:flag.Program-Cases","Program Cases"],[9,4,1,"coq:flag.Program-Generalized-Coercion","Program Generalized Coercion"],[9,4,1,"coq:flag.Program-Mode","Program Mode"],[65,3,1,"coq:cmd.Proof","Proof"],[65,3,1,"coq:cmd.Proof-Mode","Proof Mode"],[65,3,1,"coq:cmd.Proof-`term`","Proof `term`"],[65,3,1,"coq:cmd.Proof-using","Proof using"],[59,3,1,"coq:cmd.Proof-with","Proof with"],[31,3,1,"coq:cmd.Property","Property"],[31,3,1,"coq:cmd.Proposition","Proposition"],[5,5,1,"coq:thm.Psatz","Psatz"],[2,3,1,"coq:cmd.Pwd","Pwd"],[65,3,1,"coq:cmd.Qed","Qed"],[58,3,1,"coq:cmd.Quit","Quit"],[36,3,1,"coq:cmd.Record","Record"],[36,0,1,"coq:exn.Records-declared-with-the-keyword-Record-or-Structure-cannot-be-recursive","Records declared with the keyword Record or Structure cannot be recursive"],[2,3,1,"coq:cmd.Recursive-Extraction","Recursive Extraction"],[2,3,1,"coq:cmd.Recursive-Extraction-Library","Recursive Extraction Library"],[58,3,1,"coq:cmd.Redirect","Redirect"],[58,3,1,"coq:cmd.Register","Register"],[58,3,1,"coq:cmd.Register-Inline","Register Inline"],[63,4,1,"coq:flag.Regular-Subst-Tactic","Regular Subst Tactic"],[31,3,1,"coq:cmd.Remark","Remark"],[28,3,1,"coq:cmd.Remove","Remove"],[59,3,1,"coq:cmd.Remove-Hints","Remove Hints"],[58,3,1,"coq:cmd.Require","Require"],[58,3,1,"coq:cmd.Require-Export","Require Export"],[58,3,1,"coq:cmd.Require-Import","Require Import"],[70,3,1,"coq:cmd.Reserved-Infix","Reserved Infix"],[70,3,1,"coq:cmd.Reserved-Notation","Reserved Notation"],[58,3,1,"coq:cmd.Reset","Reset"],[2,3,1,"coq:cmd.Reset-Extraction-Blacklist","Reset Extraction Blacklist"],[2,3,1,"coq:cmd.Reset-Extraction-Inline","Reset Extraction Inline"],[58,3,1,"coq:cmd.Reset-Initial","Reset Initial"],[53,3,1,"coq:cmd.Reset-Ltac-Profile","Reset Ltac Profile"],[65,3,1,"coq:cmd.Restart","Restart"],[43,4,1,"coq:flag.Reversible-Pattern-Implicit","Reversible Pattern Implicit"],[66,4,1,"coq:flag.Rewriting-Schemes","Rewriting Schemes"],[10,0,1,"coq:exn.Ring-operation-should-be-declared-as-a-morphism","Ring operation should be declared as a morphism"],[11,0,1,"coq:exn.SProp-is-disallowed-because-the-\"Allow-StrictProp\"-flag-is-off","SProp is disallowed because the "Allow StrictProp" flag is off"],[65,3,1,"coq:cmd.Save","Save"],[66,3,1,"coq:cmd.Scheme","Scheme"],[66,3,1,"coq:cmd.Scheme-Boolean-Equality","Scheme Boolean Equality"],[66,3,1,"coq:cmd.Scheme-Equality","Scheme Equality"],[70,0,1,"coq:exn.Scope-delimiters-should-not-start-with-an-underscore","Scope delimiters should not start with an underscore"],[70,0,1,"coq:exn.Scope-names-should-not-start-with-an-underscore","Scope names should not start with an underscore"],[58,3,1,"coq:cmd.Search","Search"],[58,8,1,"coq:table.Search-Blacklist","Search Blacklist"],[58,4,1,"coq:flag.Search-Output-Name-Only","Search Output Name Only"],[58,3,1,"coq:cmd.SearchPattern","SearchPattern"],[58,3,1,"coq:cmd.SearchRewrite","SearchRewrite"],[37,3,1,"coq:cmd.Section","Section"],[63,0,1,"coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-hypothesis-\u2018ident\u2019","Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in hypothesis \u2018ident\u2019"],[63,0,1,"coq:exn.Section-variable-\u2018ident\u2019-occurs-implicitly-in-global-declaration-\u2018qualid\u2019-present-in-the-conclusion","Section variable \u2018ident\u2019 occurs implicitly in global declaration \u2018qualid\u2019 present in the conclusion"],[2,3,1,"coq:cmd.Separate-Extraction","Separate Extraction"],[28,3,1,"coq:cmd.Set","Set"],[34,4,1,"coq:flag.Short-Module-Printing","Short Module Printing"],[65,3,1,"coq:cmd.Show","Show"],[65,3,1,"coq:cmd.Show-Conjectures","Show Conjectures"],[65,3,1,"coq:cmd.Show-Existentials","Show Existentials"],[2,3,1,"coq:cmd.Show-Extraction","Show Extraction"],[65,3,1,"coq:cmd.Show-Goal","Show Goal"],[65,3,1,"coq:cmd.Show-Intro","Show Intro"],[65,3,1,"coq:cmd.Show-Intros","Show Intros"],[5,3,1,"coq:cmd.Show-Lia-Profile","Show Lia Profile"],[53,3,1,"coq:cmd.Show-Ltac-Profile","Show Ltac Profile"],[65,3,1,"coq:cmd.Show-Match","Show Match"],[9,3,1,"coq:cmd.Show-Obligation-Tactic","Show Obligation Tactic"],[65,3,1,"coq:cmd.Show-Proof","Show Proof"],[65,3,1,"coq:cmd.Show-Universes","Show Universes"],[5,3,1,"coq:cmd.Show-Zify","Show Zify"],[34,0,1,"coq:exn.Signature-components-for-field-\u2018ident\u2019-do-not-match","Signature components for field \u2018ident\u2019 do not match"],[58,4,1,"coq:flag.Silent","Silent"],[9,3,1,"coq:cmd.Solve-All-Obligations","Solve All Obligations"],[9,3,1,"coq:cmd.Solve-Obligations","Solve Obligations"],[65,4,1,"coq:flag.Solve-Unification-Constraints","Solve Unification Constraints"],[56,4,1,"coq:flag.SsrHave-NoTCResolution","SsrHave NoTCResolution"],[56,4,1,"coq:flag.SsrIdents","SsrIdents"],[56,4,1,"coq:flag.SsrOldRewriteGoalsOrder","SsrOldRewriteGoalsOrder"],[56,4,1,"coq:flag.SsrRewrite","SsrRewrite"],[70,2,1,"coq:warn.Stack-overflow-or-segmentation-fault-happens-when-working-with-large-numbers-in-\u2018type\u2019-(threshold-may-vary-depending-on-your-system-limits-and-on-the-command-executed)","Stack overflow or segmentation fault happens when working with large numbers in \u2018type\u2019 (threshold may vary depending on your system limits and on the command executed)"],[63,3,1,"coq:cmd.Strategy","Strategy"],[43,4,1,"coq:flag.Strict-Implicit","Strict Implicit"],[13,4,1,"coq:flag.Strict-Universe-Declaration","Strict Universe Declaration"],[70,3,1,"coq:cmd.String-Notation","String Notation"],[43,4,1,"coq:flag.Strongly-Strict-Implicit","Strongly Strict Implicit"],[66,4,1,"coq:flag.Structural-Injection","Structural Injection"],[36,3,1,"coq:cmd.Structure","Structure"],[4,3,1,"coq:cmd.SubClass","SubClass"],[58,3,1,"coq:cmd.Succeed","Succeed"],[65,4,1,"coq:flag.Suggest-Proof-Using","Suggest Proof Using"],[70,0,1,"coq:exn.Syntax-error:-[prim:reference]-expected-after-'Notation'-(in-[vernac:command])","Syntax error: [prim:reference] expected after 'Notation' (in [vernac:command])"],[70,0,1,"coq:exn.Syntax-error:-[prim:reference]-expected-after-[prim:reference]-(in-[vernac:command])","Syntax error: [prim:reference] expected after [prim:reference] (in [vernac:command])"],[70,3,1,"coq:cmd.Tactic-Notation","Tactic Notation"],[53,0,1,"coq:exn.Tactic-failure","Tactic failure"],[53,0,1,"coq:exn.Tactic-failure-(level-\u2018natural\u2019)","Tactic failure (level \u2018natural\u2019)"],[53,0,1,"coq:exn.Tactic-failure:--succeeds","Tactic failure: <tactic closure> succeeds"],[63,0,1,"coq:exn.Tactic-failure:-Setoid-library-not-loaded","Tactic failure: Setoid library not loaded"],[63,0,1,"coq:exn.Tactic-generated-a-subgoal-identical-to-the-original-goal","Tactic generated a subgoal identical to the original goal"],[63,0,1,"coq:exn.Terms-do-not-have-convertible-types","Terms do not have convertible types"],[28,3,1,"coq:cmd.Test","Test"],[59,0,1,"coq:exn.The-\"at\"-syntax-isn't-available-yet-for-the-autorewrite-tactic","The "at" syntax isn't available yet for the autorewrite tactic"],[40,0,1,"coq:exn.The-&-modifier-may-only-occur-once","The & modifier may only occur once"],[70,2,1,"coq:warn.The-'abstract-after'-directive-has-no-effect-when-the-parsing-function-(\u2018qualid\u2019)-targets-an-option-type","The 'abstract after' directive has no effect when the parsing function (\u2018qualid\u2019) targets an option type"],[40,0,1,"coq:exn.The-'clear-implicits'-flag-must-be-omitted-if-implicit-annotations-are-given","The 'clear implicits' flag must be omitted if implicit annotations are given"],[40,0,1,"coq:exn.The-'default-implicits'-flag-is-incompatible-with-implicit-annotations","The 'default implicits' flag is incompatible with implicit annotations"],[40,0,1,"coq:exn.The-/-modifier-may-only-occur-once","The / modifier may only occur once"],[58,0,1,"coq:exn.The-command-has-not-failed!","The command has not failed!"],[33,0,1,"coq:exn.The-conclusion-of-\u2018type\u2019-is-not-valid;-it-must-be-built-from-\u2018ident\u2019","The conclusion of \u2018type\u2019 is not valid; it must be built from \u2018ident\u2019"],[45,0,1,"coq:exn.The-constructor-\u2018ident\u2019-expects-\u2018natural\u2019-arguments","The constructor \u2018ident\u2019 expects \u2018natural\u2019 arguments"],[13,0,1,"coq:exn.The-cumulative-attribute-can-only-be-used-in-a-polymorphic-context","The cumulative attribute can only be used in a polymorphic context"],[45,0,1,"coq:exn.The-elimination-predicate-term-should-be-of-arity-\u2018natural\u2019-(for-non-dependent-case)-or-\u2018natural\u2019-(for-dependent-case)","The elimination predicate term should be of arity \u2018natural\u2019 (for non dependent case) or \u2018natural\u2019 (for dependent case)"],[34,0,1,"coq:exn.The-field-\u2018ident\u2019-is-missing-in-\u2018qualid\u2019","The field \u2018ident\u2019 is missing in \u2018qualid\u2019"],[71,0,1,"coq:exn.The-recursive-argument-must-be-specified","The recursive argument must be specified"],[54,0,1,"coq:exn.The-reference-X-was-not-found-in-the-current-environment","The reference X was not found in the current environment"],[63,0,1,"coq:exn.The-reference-is-not-unfoldable","The reference is not unfoldable"],[63,0,1,"coq:exn.The-reference-\u2018qualid\u2019-was-not-found-in-the-current-environment","The reference \u2018qualid\u2019 was not found in the current environment"],[57,0,1,"coq:exn.The-term-\"\u2018type\u2019\"-has-type-\"\u2018type\u2019\"-which-should-be-Set,-Prop-or-Type","The term "\u2018type\u2019" has type "\u2018type\u2019" which should be Set, Prop or Type"],[31,0,1,"coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-which-should-be-Set,-Prop-or-Type","The term \u2018term\u2019 has type \u2018type\u2019 which should be Set, Prop or Type"],[31,0,1,"coq:exn.The-term-\u2018term\u2019-has-type-\u2018type\u2019-while-it-is-expected-to-have-type-\u2018type\u2019'","The term \u2018term\u2019 has type \u2018type\u2019 while it is expected to have type \u2018type\u2019'"],[66,0,1,"coq:exn.The-type-has-no-constructors","The type has no constructors"],[58,0,1,"coq:exn.The-type-\u2018ident\u2019-must-be-registered-before-this-construction-can-be-typechecked","The type \u2018ident\u2019 must be registered before this construction can be typechecked"],[45,0,1,"coq:exn.The-variable-ident-is-bound-several-times-in-pattern-term","The variable ident is bound several times in pattern term"],[57,0,1,"coq:exn.The-variable-\u2018ident\u2019-is-already-declared","The variable \u2018ident\u2019 is already declared"],[39,0,1,"coq:exn.The-\u2018natural\u2019-th-argument-of-\u2018ident\u2019-must-be-\u2018ident\u2019-in-\u2018type\u2019","The \u2018natural\u2019 th argument of \u2018ident\u2019 must be \u2018ident\u2019 in \u2018type\u2019"],[31,3,1,"coq:cmd.Theorem","Theorem"],[53,0,1,"coq:exn.There-is-already-an-Ltac-named-\u2018qualid\u2019","There is already an Ltac named \u2018qualid\u2019"],[53,0,1,"coq:exn.There-is-no-Ltac-named-\u2018qualid\u2019","There is no Ltac named \u2018qualid\u2019"],[28,2,1,"coq:warn.There-is-no-flag-or-option-with-this-name:-\"\u2018setting_name\u2019\"","There is no flag or option with this name: "\u2018setting_name\u2019""],[28,0,1,"coq:exn.There-is-no-flag,-option-or-table-with-this-name:-\"\u2018setting_name\u2019\"","There is no flag, option or table with this name: "\u2018setting_name\u2019""],[28,0,1,"coq:exn.There-is-no-qualid-valued-table-with-this-name:-\"\u2018setting_name\u2019\"","There is no qualid-valued table with this name: "\u2018setting_name\u2019""],[28,0,1,"coq:exn.There-is-no-string-valued-table-with-this-name:-\"\u2018setting_name\u2019\"","There is no string-valued table with this name: "\u2018setting_name\u2019""],[37,0,1,"coq:exn.There-is-nothing-to-end","There is nothing to end"],[28,2,1,"coq:warn.This-command-does-not-support-this-attribute","This command does not support this attribute"],[58,0,1,"coq:exn.This-object-does-not-support-universe-names","This object does not support universe names"],[65,0,1,"coq:exn.This-proof-is-focused,-but-cannot-be-unfocused-this-way","This proof is focused, but cannot be unfocused this way"],[53,0,1,"coq:exn.This-tactic-has-more-than-one-success","This tactic has more than one success"],[58,3,1,"coq:cmd.Time","Time"],[58,3,1,"coq:cmd.Timeout","Timeout"],[70,2,1,"coq:warn.To-avoid-stack-overflow,-large-numbers-in-\u2018type\u2019-are-interpreted-as-applications-of-\u2018qualid\u2019","To avoid stack overflow, large numbers in \u2018type\u2019 are interpreted as applications of \u2018qualid\u2019"],[40,0,1,"coq:exn.To-rename-arguments-the-'rename'-flag-must-be-specified","To rename arguments the 'rename' flag must be specified"],[63,3,1,"coq:cmd.Transparent","Transparent"],[9,4,1,"coq:flag.Transparent-Obligations","Transparent Obligations"],[34,2,1,"coq:warn.Trying-to-mask-the-absolute-name-\u2018qualid\u2019!","Trying to mask the absolute name \u2018qualid\u2019!"],[58,3,1,"coq:cmd.Type","Type"],[66,0,1,"coq:exn.Type-of-\u2018ident\u2019-is-not-an-equality-of-recognized-\u03a3-types:-expected-one-of-sig-sig2-sigT-sigT2-sigT2-ex-or-ex2-but-got-\u2018term\u2019","Type of \u2018ident\u2019 is not an equality of recognized \u03a3 types: expected one of sig sig2 sigT sigT2 sigT2 ex or ex2 but got \u2018term\u2019"],[12,4,1,"coq:flag.Typeclass-Resolution-For-Conversion","Typeclass Resolution For Conversion"],[12,4,1,"coq:flag.Typeclasses-Debug","Typeclasses Debug"],[12,6,1,"coq:opt.Typeclasses-Debug-Verbosity","Typeclasses Debug Verbosity"],[12,4,1,"coq:flag.Typeclasses-Dependency-Order","Typeclasses Dependency Order"],[12,6,1,"coq:opt.Typeclasses-Depth","Typeclasses Depth"],[12,4,1,"coq:flag.Typeclasses-Iterative-Deepening","Typeclasses Iterative Deepening"],[12,4,1,"coq:flag.Typeclasses-Limit-Intros","Typeclasses Limit Intros"],[12,3,1,"coq:cmd.Typeclasses-Opaque","Typeclasses Opaque"],[12,4,1,"coq:flag.Typeclasses-Strict-Resolution","Typeclasses Strict Resolution"],[12,3,1,"coq:cmd.Typeclasses-Transparent","Typeclasses Transparent"],[12,4,1,"coq:flag.Typeclasses-Unique-Instances","Typeclasses Unique Instances"],[12,4,1,"coq:flag.Typeclasses-Unique-Solutions","Typeclasses Unique Solutions"],[12,3,1,"coq:cmd.Typeclasses-eauto","Typeclasses eauto"],[66,0,1,"coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019-\u2026-\u2018ident\u2019","Unable to find an instance for the variables \u2018ident\u2019 \u2026 \u2018ident\u2019"],[57,0,1,"coq:exn.Unable-to-find-an-instance-for-the-variables-\u2018ident\u2019\u2026\u2018ident\u2019","Unable to find an instance for the variables \u2018ident\u2019\u2026\u2018ident\u2019"],[45,0,1,"coq:exn.Unable-to-infer-a-match-predicate","Unable to infer a match predicate"],[3,0,1,"coq:exn.Unable-to-satisfy-the-rewriting-constraints","Unable to satisfy the rewriting constraints"],[57,0,1,"coq:exn.Unable-to-unify-\u2018one_term\u2019-with-\u2018one_term\u2019","Unable to unify \u2018one_term\u2019 with \u2018one_term\u2019"],[54,0,1,"coq:exn.Unbound-[value|constructor]-X","Unbound [value|constructor] X"],[53,0,1,"coq:exn.Unbound-context-identifier-\u2018ident\u2019","Unbound context identifier \u2018ident\u2019"],[13,0,1,"coq:exn.Undeclared-universe-\u2018ident\u2019","Undeclared universe \u2018ident\u2019"],[70,3,1,"coq:cmd.Undelimit-Scope","Undelimit Scope"],[65,3,1,"coq:cmd.Undo","Undo"],[70,0,1,"coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-number-notation","Unexpected non-option term \u2018term\u2019 while parsing a number notation"],[70,0,1,"coq:exn.Unexpected-non-option-term-\u2018term\u2019-while-parsing-a-string-notation","Unexpected non-option term \u2018term\u2019 while parsing a string notation"],[70,0,1,"coq:exn.Unexpected-only-parsing-for-an-only-printing-notation","Unexpected only parsing for an only printing notation"],[70,0,1,"coq:exn.Unexpected-only-printing-for-an-only-parsing-notation","Unexpected only printing for an only parsing notation"],[70,0,1,"coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-number-notation","Unexpected term \u2018term\u2019 while parsing a number notation"],[70,0,1,"coq:exn.Unexpected-term-\u2018term\u2019-while-parsing-a-string-notation","Unexpected term \u2018term\u2019 while parsing a string notation"],[65,3,1,"coq:cmd.Unfocus","Unfocus"],[65,3,1,"coq:cmd.Unfocused","Unfocused"],[33,4,1,"coq:flag.Uniform-Inductive-Parameters","Uniform Inductive Parameters"],[13,3,1,"coq:cmd.Universe","Universe"],[58,4,1,"coq:flag.Universe-Checking","Universe Checking"],[13,4,1,"coq:flag.Universe-Minimization-ToSet","Universe Minimization ToSet"],[13,4,1,"coq:flag.Universe-Polymorphism","Universe Polymorphism"],[13,0,1,"coq:exn.Universe-inconsistency","Universe inconsistency"],[58,0,1,"coq:exn.Universe-instance-length-is-\u2018natural\u2019-but-should-be-\u2018natural\u2019","Universe instance length is \u2018natural\u2019 but should be \u2018natural\u2019"],[13,3,1,"coq:cmd.Universes","Universes"],[70,0,1,"coq:exn.Unknown-custom-entry","Unknown custom entry"],[70,0,1,"coq:exn.Unknown-custom-entry:-\u2018ident\u2019","Unknown custom entry: \u2018ident\u2019"],[65,0,1,"coq:exn.Unknown-inductive-type","Unknown inductive type"],[28,3,1,"coq:cmd.Unset","Unset"],[65,3,1,"coq:cmd.Unshelve","Unshelve"],[70,0,1,"coq:exn.Unterminated-string-in-notation","Unterminated string in notation"],[70,2,1,"coq:warn.Use-of-\u2018string\u2019-Notation-is-deprecated-as-it-is-inconsistent-with-pattern-syntax","Use of \u2018string\u2019 Notation is deprecated as it is inconsistent with pattern syntax"],[65,3,1,"coq:cmd.Validate-Proof","Validate Proof"],[27,3,1,"coq:cmd.Variable","Variable"],[65,2,1,"coq:warn.Variable-All-is-shadowed-by-Collection-named-All-containing-all-variables","Variable All is shadowed by Collection named All containing all variables"],[27,3,1,"coq:cmd.Variables","Variables"],[39,3,1,"coq:cmd.Variant","Variant"],[58,6,1,"coq:opt.Warnings","Warnings"],[43,0,1,"coq:exn.Wrong-argument-name","Wrong argument name"],[43,0,1,"coq:exn.Wrong-argument-position","Wrong argument position"],[65,0,1,"coq:exn.Wrong-bullet-\u2018bullet\u2019:-Bullet-\u2018bullet\u2019-is-mandatory-here","Wrong bullet \u2018bullet\u2019: Bullet \u2018bullet\u2019 is mandatory here"],[65,0,1,"coq:exn.Wrong-bullet-\u2018bullet\u2019:-Current-bullet-\u2018bullet\u2019-is-not-finished","Wrong bullet \u2018bullet\u2019: Current bullet \u2018bullet\u2019 is not finished"],[53,1,1,"coq:tacn.[-\u2026-|-\u2026-|-\u2026-]-(dispatch)","[ \u2026 | \u2026 | \u2026 ] (dispatch)"],[53,1,1,"coq:tacn.[>-\u2026-|-\u2026-|-\u2026-]-(dispatch)","[> \u2026 | \u2026 | \u2026 ] (dispatch)"],[65,1,1,"coq:tacn.abstract","abstract"],[56,1,1,"coq:tacn.abstract-(ssreflect)","abstract (ssreflect)"],[57,1,1,"coq:tacn.absurd","absurd"],[70,7,1,"coq:attr.add_bottom","add_bottom"],[70,7,1,"coq:attr.add_top","add_top"],[65,1,1,"coq:tacn.admit","admit"],[57,1,1,"coq:tacn.apply","apply"],[56,1,1,"coq:tacn.apply-(ssreflect)","apply (ssreflect)"],[57,1,1,"coq:tacn.assert","assert"],[53,1,1,"coq:tacn.assert_fails","assert_fails"],[53,1,1,"coq:tacn.assert_succeeds","assert_succeeds"],[57,1,1,"coq:tacn.assumption","assumption"],[59,1,1,"coq:tacn.auto","auto"],[12,1,1,"coq:tacn.autoapply","autoapply"],[59,1,1,"coq:tacn.autorewrite","autorewrite"],[59,1,1,"coq:tacn.autounfold","autounfold"],[59,1,1,"coq:tacn.autounfold_one","autounfold_one"],[61,1,1,"coq:tacn.btauto","btauto"],[65,1,1,"coq:tacn.bullet-(--+-*)","bullet (- + *)"],[56,1,1,"coq:tacn.by","by"],[58,7,1,"coq:attr.bypass_check(guard)","bypass_check(guard)"],[58,7,1,"coq:attr.bypass_check(positivity)","bypass_check(positivity)"],[58,7,1,"coq:attr.bypass_check(universes)","bypass_check(universes)"],[41,7,1,"coq:attr.canonical","canonical"],[66,1,1,"coq:tacn.case","case"],[56,1,1,"coq:tacn.case-(ssreflect)","case (ssreflect)"],[66,1,1,"coq:tacn.case_eq","case_eq"],[63,1,1,"coq:tacn.cbn","cbn"],[63,1,1,"coq:tacn.cbv","cbv"],[63,1,1,"coq:tacn.change","change"],[63,1,1,"coq:tacn.change_no_check","change_no_check"],[57,1,1,"coq:tacn.classical_left","classical_left"],[57,1,1,"coq:tacn.classical_right","classical_right"],[57,1,1,"coq:tacn.clear","clear"],[57,1,1,"coq:tacn.clear-dependent","clear dependent"],[37,7,1,"coq:attr.clearbody","clearbody"],[57,1,1,"coq:tacn.clearbody","clearbody"],[66,1,1,"coq:tacn.cofix","cofix"],[66,1,1,"coq:tacn.compare","compare"],[63,1,1,"coq:tacn.compute","compute"],[56,1,1,"coq:tacn.congr","congr"],[61,1,1,"coq:tacn.congruence","congruence"],[53,1,1,"coq:tacn.constr_eq","constr_eq"],[53,1,1,"coq:tacn.constr_eq_nounivs","constr_eq_nounivs"],[53,1,1,"coq:tacn.constr_eq_strict","constr_eq_strict"],[66,1,1,"coq:tacn.constructor","constructor"],[53,1,1,"coq:tacn.context","context"],[57,1,1,"coq:tacn.contradict","contradict"],[57,1,1,"coq:tacn.contradiction","contradiction"],[53,1,1,"coq:tacn.convert","convert"],[57,1,1,"coq:tacn.cut","cut"],[63,1,1,"coq:tacn.cutrewrite","cutrewrite"],[65,1,1,"coq:tacn.cycle","cycle"],[59,1,1,"coq:tacn.debug-auto","debug auto"],[59,1,1,"coq:tacn.debug-eauto","debug eauto"],[59,1,1,"coq:tacn.debug-trivial","debug trivial"],[66,1,1,"coq:tacn.decide","decide"],[66,1,1,"coq:tacn.decide-equality","decide equality"],[66,1,1,"coq:tacn.decompose","decompose"],[66,1,1,"coq:tacn.decompose-record","decompose record"],[66,1,1,"coq:tacn.decompose-sum","decompose sum"],[66,1,1,"coq:tacn.dependent-destruction","dependent destruction"],[57,1,1,"coq:tacn.dependent-generalize_eqs","dependent generalize_eqs"],[57,1,1,"coq:tacn.dependent-generalize_eqs_vars","dependent generalize_eqs_vars"],[66,1,1,"coq:tacn.dependent-induction","dependent induction"],[66,1,1,"coq:tacn.dependent-inversion","dependent inversion"],[66,1,1,"coq:tacn.dependent-inversion_clear","dependent inversion_clear"],[66,1,1,"coq:tacn.dependent-rewrite","dependent rewrite"],[66,1,1,"coq:tacn.dependent-simple-inversion","dependent simple inversion"],[73,7,1,"coq:attr.deprecated","deprecated"],[66,1,1,"coq:tacn.destauto","destauto"],[66,1,1,"coq:tacn.destruct","destruct"],[59,1,1,"coq:tacn.dfs-eauto","dfs eauto"],[61,1,1,"coq:tacn.dintuition","dintuition"],[26,1,1,"coq:tacn.discrR","discrR"],[66,1,1,"coq:tacn.discriminate","discriminate"],[53,1,1,"coq:tacn.do","do"],[56,1,1,"coq:tacn.do-(ssreflect)","do (ssreflect)"],[56,1,1,"coq:tacn.done","done"],[61,1,1,"coq:tacn.dtauto","dtauto"],[57,1,1,"coq:tacn.eapply","eapply"],[57,1,1,"coq:tacn.eassert","eassert"],[57,1,1,"coq:tacn.eassumption","eassumption"],[59,1,1,"coq:tacn.easy","easy"],[59,1,1,"coq:tacn.eauto","eauto"],[66,1,1,"coq:tacn.ecase","ecase"],[66,1,1,"coq:tacn.econstructor","econstructor"],[66,1,1,"coq:tacn.edestruct","edestruct"],[66,1,1,"coq:tacn.ediscriminate","ediscriminate"],[66,1,1,"coq:tacn.eelim","eelim"],[57,1,1,"coq:tacn.eenough","eenough"],[57,1,1,"coq:tacn.eexact","eexact"],[66,1,1,"coq:tacn.eexists","eexists"],[66,1,1,"coq:tacn.einduction","einduction"],[66,1,1,"coq:tacn.einjection","einjection"],[57,1,1,"coq:tacn.eintros","eintros"],[66,1,1,"coq:tacn.eleft","eleft"],[66,1,1,"coq:tacn.elim","elim"],[56,1,1,"coq:tacn.elim-(ssreflect)","elim (ssreflect)"],[57,1,1,"coq:tacn.enough","enough"],[57,1,1,"coq:tacn.epose","epose"],[57,1,1,"coq:tacn.epose-proof","epose proof"],[57,1,1,"coq:tacn.eremember","eremember"],[63,1,1,"coq:tacn.erewrite","erewrite"],[66,1,1,"coq:tacn.eright","eright"],[57,1,1,"coq:tacn.eset","eset"],[66,1,1,"coq:tacn.esimplify_eq","esimplify_eq"],[66,1,1,"coq:tacn.esplit","esplit"],[63,1,1,"coq:tacn.etransitivity","etransitivity"],[63,1,1,"coq:tacn.eval","eval"],[57,1,1,"coq:tacn.evar","evar"],[57,1,1,"coq:tacn.exact","exact"],[56,1,1,"coq:tacn.exact-(ssreflect)","exact (ssreflect)"],[57,1,1,"coq:tacn.exact_no_check","exact_no_check"],[53,1,1,"coq:tacn.exactly_once","exactly_once"],[57,1,1,"coq:tacn.exfalso","exfalso"],[66,1,1,"coq:tacn.exists","exists"],[34,7,1,"coq:attr.export","export"],[63,1,1,"coq:tacn.f_equal","f_equal"],[53,1,1,"coq:tacn.fail","fail"],[10,1,1,"coq:tacn.field","field"],[10,1,1,"coq:tacn.field_lookup","field_lookup"],[10,1,1,"coq:tacn.field_simplify","field_simplify"],[10,1,1,"coq:tacn.field_simplify_eq","field_simplify_eq"],[53,1,1,"coq:tacn.finish_timing","finish_timing"],[53,1,1,"coq:tacn.first","first"],[56,1,1,"coq:tacn.first-(ssreflect)","first (ssreflect)"],[56,9,1,"coq:tacv.first-last","first last"],[61,1,1,"coq:tacn.firstorder","firstorder"],[66,1,1,"coq:tacn.fix","fix"],[63,1,1,"coq:tacn.fold","fold"],[53,1,1,"coq:tacn.fresh","fresh"],[53,1,1,"coq:tacn.fun","fun"],[71,1,1,"coq:tacn.functional-induction","functional induction"],[71,1,1,"coq:tacn.functional-inversion","functional inversion"],[57,1,1,"coq:tacn.generalize","generalize"],[57,1,1,"coq:tacn.generalize-dependent","generalize dependent"],[57,1,1,"coq:tacn.generalize_eqs","generalize_eqs"],[57,1,1,"coq:tacn.generalize_eqs_vars","generalize_eqs_vars"],[56,1,1,"coq:tacn.generally-have","generally have"],[53,1,1,"coq:tacn.gfail","gfail"],[61,1,1,"coq:tacn.gintuition","gintuition"],[65,1,1,"coq:tacn.give_up","give_up"],[34,7,1,"coq:attr.global","global"],[53,1,1,"coq:tacn.guard","guard"],[53,1,1,"coq:tacn.has_evar","has_evar"],[56,1,1,"coq:tacn.have","have"],[3,1,1,"coq:tacn.head_of_constr","head_of_constr"],[63,1,1,"coq:tacn.hnf","hnf"],[53,1,1,"coq:tacn.idtac","idtac"],[54,1,1,"coq:tacn.if-then-else-(Ltac2)","if-then-else (Ltac2)"],[56,1,1,"coq:tacn.in","in"],[66,1,1,"coq:tacn.induction","induction"],[53,3,1,"coq:cmd.infoH","infoH"],[59,1,1,"coq:tacn.info_auto","info_auto"],[59,1,1,"coq:tacn.info_eauto","info_eauto"],[59,1,1,"coq:tacn.info_trivial","info_trivial"],[66,1,1,"coq:tacn.injection","injection"],[57,1,1,"coq:tacn.instantiate","instantiate"],[57,1,1,"coq:tacn.intro","intro"],[57,1,1,"coq:tacn.intros","intros"],[57,1,1,"coq:tacn.intros-until","intros until"],[61,1,1,"coq:tacn.intuition","intuition"],[66,1,1,"coq:tacn.inversion","inversion"],[66,1,1,"coq:tacn.inversion_clear","inversion_clear"],[66,1,1,"coq:tacn.inversion_sigma","inversion_sigma"],[53,1,1,"coq:tacn.is_cofix","is_cofix"],[53,1,1,"coq:tacn.is_const","is_const"],[53,1,1,"coq:tacn.is_constructor","is_constructor"],[53,1,1,"coq:tacn.is_evar","is_evar"],[53,1,1,"coq:tacn.is_fix","is_fix"],[53,1,1,"coq:tacn.is_ground","is_ground"],[53,1,1,"coq:tacn.is_ind","is_ind"],[53,1,1,"coq:tacn.is_proj","is_proj"],[53,1,1,"coq:tacn.is_var","is_var"],[57,1,1,"coq:tacn.lapply","lapply"],[57,0,1,"coq:exn.lapply-needs-a-non-dependent-product","lapply needs a non-dependent product"],[56,1,1,"coq:tacn.last","last"],[56,9,1,"coq:tacv.last-first","last first"],[63,1,1,"coq:tacn.lazy","lazy"],[54,1,1,"coq:tacn.lazy_match!","lazy_match!"],[54,1,1,"coq:tacn.lazy_match!-goal","lazy_match! goal"],[53,1,1,"coq:tacn.lazymatch","lazymatch"],[53,1,1,"coq:tacn.lazymatch-goal","lazymatch goal"],[66,1,1,"coq:tacn.left","left"],[53,1,1,"coq:tacn.let","let"],[5,1,1,"coq:tacn.lia","lia"],[34,7,1,"coq:attr.local","local"],[5,1,1,"coq:tacn.lra","lra"],[53,1,1,"coq:tacn.ltac-seq","ltac-seq"],[53,1,1,"coq:tacn.match","match"],[54,1,1,"coq:tacn.match-(Ltac2)","match (Ltac2)"],[53,1,1,"coq:tacn.match-goal","match goal"],[54,1,1,"coq:tacn.match!","match!"],[54,1,1,"coq:tacn.match!-goal","match! goal"],[57,1,1,"coq:tacn.move","move"],[56,1,1,"coq:tacn.move-(ssreflect)","move (ssreflect)"],[54,1,1,"coq:tacn.multi_match!","multi_match!"],[54,1,1,"coq:tacn.multi_match!-goal","multi_match! goal"],[53,1,1,"coq:tacn.multimatch","multimatch"],[53,1,1,"coq:tacn.multimatch-goal","multimatch goal"],[57,1,1,"coq:tacn.native_cast_no_check","native_cast_no_check"],[63,1,1,"coq:tacn.native_compute","native_compute"],[5,1,1,"coq:tacn.nia","nia"],[4,7,1,"coq:attr.nonuniform","nonuniform"],[53,0,1,"coq:exn.not-a-cofix-definition","not a cofix definition"],[53,0,1,"coq:exn.not-a-constant","not a constant"],[53,0,1,"coq:exn.not-a-constructor","not a constructor"],[53,0,1,"coq:exn.not-a-fix-definition","not a fix definition"],[53,0,1,"coq:exn.not-a-primitive-projection","not a primitive projection"],[53,0,1,"coq:exn.not-an-(co)inductive-datatype","not an (co)inductive datatype"],[53,1,1,"coq:tacn.not_evar","not_evar"],[59,1,1,"coq:tacn.now","now"],[63,1,1,"coq:tacn.now_show","now_show"],[5,1,1,"coq:tacn.nra","nra"],[7,1,1,"coq:tacn.nsatz","nsatz"],[7,1,1,"coq:tacn.nsatz_compute","nsatz_compute"],[53,1,1,"coq:tacn.numgoals","numgoals"],[53,1,1,"coq:tacn.once","once"],[53,1,1,"coq:tacn.only","only"],[53,1,1,"coq:tacn.optimize_heap","optimize_heap"],[56,1,1,"coq:tacn.over","over"],[70,0,1,"coq:exn.overflow-in-int63-literal-\u2018bigint\u2019","overflow in int63 literal \u2018bigint\u2019"],[63,1,1,"coq:tacn.pattern","pattern"],[57,1,1,"coq:tacn.pose","pose"],[56,1,1,"coq:tacn.pose-(ssreflect)","pose (ssreflect)"],[57,1,1,"coq:tacn.pose-proof","pose proof"],[39,7,1,"coq:attr.private(matching)","private(matching)"],[9,7,1,"coq:attr.program","program"],[53,1,1,"coq:tacn.progress","progress"],[36,7,1,"coq:attr.projections(primitive)","projections(primitive)"],[10,1,1,"coq:tacn.protect_fv","protect_fv"],[5,1,1,"coq:tacn.psatz","psatz"],[58,0,1,"coq:exn.public-name-according-to-findlib,-for-example","public name according to findlib, for example"],[57,1,1,"coq:tacn.rapply","rapply"],[63,1,1,"coq:tacn.red","red"],[12,7,1,"coq:attr.refine","refine"],[57,1,1,"coq:tacn.refine","refine"],[63,1,1,"coq:tacn.reflexivity","reflexivity"],[57,1,1,"coq:tacn.remember","remember"],[57,1,1,"coq:tacn.rename","rename"],[53,1,1,"coq:tacn.repeat","repeat"],[63,1,1,"coq:tacn.replace","replace"],[53,1,1,"coq:tacn.reset-ltac-profile","reset ltac profile"],[53,1,1,"coq:tacn.restart_timer","restart_timer"],[4,7,1,"coq:attr.reversible","reversible"],[57,1,1,"coq:tacn.revert","revert"],[57,1,1,"coq:tacn.revert-dependent","revert dependent"],[65,1,1,"coq:tacn.revgoals","revgoals"],[63,1,1,"coq:tacn.rewrite","rewrite"],[56,1,1,"coq:tacn.rewrite-(ssreflect)","rewrite (ssreflect)"],[63,1,1,"coq:tacn.rewrite-*","rewrite *"],[3,1,1,"coq:tacn.rewrite_db","rewrite_db"],[3,1,1,"coq:tacn.rewrite_strat","rewrite_strat"],[66,1,1,"coq:tacn.right","right"],[10,1,1,"coq:tacn.ring","ring"],[10,1,1,"coq:tacn.ring_lookup","ring_lookup"],[10,1,1,"coq:tacn.ring_simplify","ring_simplify"],[61,1,1,"coq:tacn.rtauto","rtauto"],[57,1,1,"coq:tacn.set","set"],[56,1,1,"coq:tacn.set-(ssreflect)","set (ssreflect)"],[3,1,1,"coq:tacn.setoid_etransitivity","setoid_etransitivity"],[3,1,1,"coq:tacn.setoid_reflexivity","setoid_reflexivity"],[3,1,1,"coq:tacn.setoid_replace","setoid_replace"],[3,1,1,"coq:tacn.setoid_rewrite","setoid_rewrite"],[3,1,1,"coq:tacn.setoid_symmetry","setoid_symmetry"],[3,1,1,"coq:tacn.setoid_transitivity","setoid_transitivity"],[58,0,1,"coq:exn.shared-library-failed:-Coq-Error:-\u2018string\u2019-is-not-a-valid","shared library failed: Coq Error: \u2018string\u2019 is not a valid"],[65,1,1,"coq:tacn.shelve","shelve"],[65,1,1,"coq:tacn.shelve_unifiable","shelve_unifiable"],[53,1,1,"coq:tacn.show-ltac-profile","show ltac profile"],[63,1,1,"coq:tacn.simpl","simpl"],[57,1,1,"coq:tacn.simple-apply","simple apply"],[61,1,1,"coq:tacn.simple-congruence","simple congruence"],[66,1,1,"coq:tacn.simple-destruct","simple destruct"],[57,1,1,"coq:tacn.simple-eapply","simple eapply"],[66,1,1,"coq:tacn.simple-induction","simple induction"],[66,1,1,"coq:tacn.simple-injection","simple injection"],[66,1,1,"coq:tacn.simple-inversion","simple inversion"],[63,1,1,"coq:tacn.simple-subst","simple subst"],[66,1,1,"coq:tacn.simplify_eq","simplify_eq"],[71,1,1,"coq:tacn.soft-functional-induction","soft functional induction"],[53,1,1,"coq:tacn.solve","solve"],[65,1,1,"coq:tacn.solve_constraints","solve_constraints"],[57,1,1,"coq:tacn.specialize","specialize"],[57,1,1,"coq:tacn.specialize_eqs","specialize_eqs"],[66,1,1,"coq:tacn.split","split"],[26,1,1,"coq:tacn.split_Rabs","split_Rabs"],[26,1,1,"coq:tacn.split_Rmult","split_Rmult"],[53,1,1,"coq:tacn.start-ltac-profiling","start ltac profiling"],[63,1,1,"coq:tacn.stepl","stepl"],[63,1,1,"coq:tacn.stepr","stepr"],[53,1,1,"coq:tacn.stop-ltac-profiling","stop ltac profiling"],[63,1,1,"coq:tacn.subst","subst"],[63,1,1,"coq:tacn.substitute","substitute"],[56,1,1,"coq:tacn.suff","suff"],[56,1,1,"coq:tacn.suffices","suffices"],[65,1,1,"coq:tacn.swap","swap"],[63,1,1,"coq:tacn.symmetry","symmetry"],[61,1,1,"coq:tacn.tauto","tauto"],[33,0,1,"coq:exn.template-and-polymorphism-not-compatible","template and polymorphism not compatible"],[53,1,1,"coq:tacn.time","time"],[53,1,1,"coq:tacn.time_constr","time_constr"],[53,1,1,"coq:tacn.timeout","timeout"],[63,1,1,"coq:tacn.transitivity","transitivity"],[65,1,1,"coq:tacn.transparent_abstract","transparent_abstract"],[59,1,1,"coq:tacn.trivial","trivial"],[53,1,1,"coq:tacn.try","try"],[53,1,1,"coq:tacn.tryif","tryif"],[53,1,1,"coq:tacn.type-of","type of"],[53,1,1,"coq:tacn.type_term","type_term"],[12,1,1,"coq:tacn.typeclasses-eauto","typeclasses eauto"],[56,1,1,"coq:tacn.under","under"],[63,1,1,"coq:tacn.unfold","unfold"],[53,1,1,"coq:tacn.unify","unify"],[13,7,1,"coq:attr.universes(cumulative)","universes(cumulative)"],[13,7,1,"coq:attr.universes(polymorphic)","universes(polymorphic)"],[33,7,1,"coq:attr.universes(template)","universes(template)"],[56,1,1,"coq:tacn.unlock","unlock"],[65,1,1,"coq:tacn.unshelve","unshelve"],[65,7,1,"coq:attr.using","using"],[57,1,1,"coq:tacn.vm_cast_no_check","vm_cast_no_check"],[63,1,1,"coq:tacn.vm_compute","vm_compute"],[28,7,1,"coq:attr.warning","warning"],[28,7,1,"coq:attr.warnings","warnings"],[63,1,1,"coq:tacn.with_strategy","with_strategy"],[56,1,1,"coq:tacn.without-loss","without loss"],[5,1,1,"coq:tacn.wlia","wlia"],[56,1,1,"coq:tacn.wlog","wlog"],[5,1,1,"coq:tacn.wlra_Q","wlra_Q"],[5,1,1,"coq:tacn.wnia","wnia"],[5,1,1,"coq:tacn.wnra_Q","wnra_Q"],[5,1,1,"coq:tacn.wpsatz_Q","wpsatz_Q"],[5,1,1,"coq:tacn.wpsatz_Z","wpsatz_Z"],[5,1,1,"coq:tacn.wsos_Q","wsos_Q"],[5,1,1,"coq:tacn.wsos_Z","wsos_Z"],[5,1,1,"coq:tacn.xlia","xlia"],[5,1,1,"coq:tacn.xlra_Q","xlra_Q"],[5,1,1,"coq:tacn.xlra_R","xlra_R"],[5,1,1,"coq:tacn.xnia","xnia"],[5,1,1,"coq:tacn.xnra_Q","xnra_Q"],[5,1,1,"coq:tacn.xnra_R","xnra_R"],[5,1,1,"coq:tacn.xpsatz_Q","xpsatz_Q"],[5,1,1,"coq:tacn.xpsatz_R","xpsatz_R"],[5,1,1,"coq:tacn.xpsatz_Z","xpsatz_Z"],[5,1,1,"coq:tacn.xsos_Q","xsos_Q"],[5,1,1,"coq:tacn.xsos_R","xsos_R"],[5,1,1,"coq:tacn.xsos_Z","xsos_Z"],[5,1,1,"coq:tacn.zify","zify"],[5,1,1,"coq:tacn.zify_elim_let","zify_elim_let"],[5,1,1,"coq:tacn.zify_iter_let","zify_iter_let"],[5,1,1,"coq:tacn.zify_iter_specs","zify_iter_specs"],[5,1,1,"coq:tacn.zify_op","zify_op"],[5,1,1,"coq:tacn.zify_saturate","zify_saturate"],[65,1,1,"coq:tacn.{","{"],[53,1,1,"coq:tacn.||-(first-tactic-making-progress)","|| (first tactic making progress)"],[65,1,1,"coq:tacn.}","}"],[4,0,1,"coq:exn.\u2018coercion_class\u2019-must-be-a-transparent-constant","\u2018coercion_class\u2019 must be a transparent constant"],[36,0,1,"coq:exn.\u2018ident\u2019-already-exists","\u2018ident\u2019 already exists"],[36,2,1,"coq:warn.\u2018ident\u2019-cannot-be-defined","\u2018ident\u2019 cannot be defined"],[36,2,1,"coq:warn.\u2018ident\u2019-cannot-be-defined-because-it-is-informative-and-\u2018ident\u2019-is-not","\u2018ident\u2019 cannot be defined because it is informative and \u2018ident\u2019 is not"],[36,2,1,"coq:warn.\u2018ident\u2019-cannot-be-defined-because-the-projection-\u2018ident\u2019-was-not-defined","\u2018ident\u2019 cannot be defined because the projection \u2018ident\u2019 was not defined"],[12,2,1,"coq:warn.\u2018ident\u2019-is-already-declared-as-a-typeclass","\u2018ident\u2019 is already declared as a typeclass"],[57,0,1,"coq:exn.\u2018ident\u2019-is-already-used","\u2018ident\u2019 is already used"],[65,2,1,"coq:warn.\u2018ident\u2019-is-both-name-of-a-Collection-and-Variable,-Collection-\u2018ident\u2019-takes-precedence-over-Variable","\u2018ident\u2019 is both name of a Collection and Variable, Collection \u2018ident\u2019 takes precedence over Variable"],[27,2,1,"coq:warn.\u2018ident\u2019-is-declared-as-a-local-axiom","\u2018ident\u2019 is declared as a local axiom"],[57,0,1,"coq:exn.\u2018ident\u2019-is-not-a-local-definition","\u2018ident\u2019 is not a local definition"],[66,0,1,"coq:exn.\u2018ident\u2019-is-not-an-equality-of-\u03a3-types","\u2018ident\u2019 is not an equality of \u03a3 types"],[63,0,1,"coq:exn.\u2018ident\u2019-is-opaque","\u2018ident\u2019 is opaque"],[57,0,1,"coq:exn.\u2018ident\u2019-is-used-in-the-conclusion","\u2018ident\u2019 is used in the conclusion"],[57,0,1,"coq:exn.\u2018ident\u2019-is-used-in-the-hypothesis-\u2018ident\u2019","\u2018ident\u2019 is used in the hypothesis \u2018ident\u2019"],[65,2,1,"coq:warn.\u2018ident\u2019-was-already-a-defined-Variable,-the-name-\u2018ident\u2019-will-refer-to-Collection-when-executing-\"Proof-using\"-command","\u2018ident\u2019 was already a defined Variable, the name \u2018ident\u2019 will refer to Collection when executing "Proof using" command"],[59,0,1,"coq:exn.\u2018qualid\u2019-cannot-be-used-as-a-hint","\u2018qualid\u2019 cannot be used as a hint"],[63,0,1,"coq:exn.\u2018qualid\u2019-does-not-occur","\u2018qualid\u2019 does not occur"],[4,2,1,"coq:warn.\u2018qualid\u2019-does-not-respect-the-uniform-inheritance-condition","\u2018qualid\u2019 does not respect the uniform inheritance condition"],[4,0,1,"coq:exn.\u2018qualid\u2019-is-already-a-coercion","\u2018qualid\u2019 is already a coercion"],[70,0,1,"coq:exn.\u2018qualid\u2019-is-bound-to-a-notation-that-does-not-denote-a-reference","\u2018qualid\u2019 is bound to a notation that does not denote a reference"],[4,0,1,"coq:exn.\u2018qualid\u2019-is-not-a-function","\u2018qualid\u2019 is not a function"],[34,0,1,"coq:exn.\u2018qualid\u2019-is-not-a-module","\u2018qualid\u2019 is not a module"],[59,0,1,"coq:exn.\u2018qualid\u2019-is-not-an-inductive-type","\u2018qualid\u2019 is not an inductive type"],[58,0,1,"coq:exn.\u2018qualid\u2019-not-a-defined-object","\u2018qualid\u2019 not a defined object"],[4,0,1,"coq:exn.\u2018qualid\u2019-not-declared","\u2018qualid\u2019 not declared"],[70,0,1,"coq:exn.\u2018qualid\u2019-was-already-mapped-to-\u2018qualid\u2019-and-cannot-be-remapped-to-\u2018qualid\u2019","\u2018qualid\u2019 was already mapped to \u2018qualid\u2019 and cannot be remapped to \u2018qualid\u2019"],[70,0,1,"coq:exn.\u2018type\u2019-is-not-an-inductive-type","\u2018type\u2019 is not an inductive type"],[70,2,1,"coq:warn.\u2018type\u2019-was-already-mapped-to-\u2018type\u2019,-mapping-it-also-to-\u2018type\u2019-might-yield-ill-typed-terms-when-using-the-notation","\u2018type\u2019 was already mapped to \u2018type\u2019, mapping it also to \u2018type\u2019 might yield ill typed terms when using the notation"],[53,1,1,"coq:tacn.\u2026-:-\u2026-(goal-selector)","\u2026 : \u2026 (goal selector)"],[56,1,1,"coq:tacn.\u2026-:-\u2026-(ssreflect)","\u2026 : \u2026 (ssreflect)"]],""All" is a predefined collection containing all variables":[[65,0,1,"coq:exn.\"All\"-is-a-predefined-collection-containing-all-variables.-It-can't-be-redefined"," It can't be redefined"]],"..":[[4,2,1,"coq:warn....-is-not-definitionally-an-identity-function"," is not definitionally an identity function"]],"A coercion will be introduced instead of an instance in future versions when using ':>' in 'Class' declarations. Replace ':>' with '::' (or use '#[global] Existing Instance field.' for compatibility with Coq < 8":[[12,2,1,"coq:warn.A-coercion-will-be-introduced-instead-of-an-instance-in-future-versions-when-using-':>'-in-'Class'-declarations.-Replace-':>'-with-'::'-(or-use-'#[global]-Existing-Instance-field.'-for-compatibility-with-Coq-<-8.17)","17)"]],"Argument \u2018name\u2019 is a trailing implicit, so it can't be declared non maximal":[[43,0,1,"coq:exn.Argument-\u2018name\u2019-is-a-trailing-implicit,-so-it-can't-be-declared-non-maximal.-Please-use-{-}-instead-of-[-]"," Please use { } instead of [ ]"]],"Cannot infer a term for this placeholder":[[43,0,1,"coq:exn.Cannot-infer-a-term-for-this-placeholder.-(Casual-use-of-implicit-arguments)"," (Casual use of implicit arguments)"],[57,0,1,"coq:exn.Cannot-infer-a-term-for-this-placeholder.-(refine)"," (refine)"]],"Compiled library \u2018ident\u2019":[[58,0,1,"coq:exn.Compiled-library-\u2018ident\u2019.vo-makes-inconsistent-assumptions-over-library-\u2018qualid\u2019","vo makes inconsistent assumptions over library \u2018qualid\u2019"]],"Duplicate clear of H":[[56,2,1,"coq:warn.Duplicate-clear-of-H.-Use-{-}H-instead-of-{-H-}H"," Use { }H instead of { H }H"]],"File ... found twice in ..":[[58,2,1,"coq:warn.File-...-found-twice-in-...",""]],"Goal is solvable by congruence but some arguments are missing":[[61,0,1,"coq:exn.Goal-is-solvable-by-congruence-but-some-arguments-are-missing.-Try-congruence-with-\u2018term\u2019\u2026\u2018term\u2019,-replacing-metavariables-by-arbitrary-terms"," Try congruence with \u2018term\u2019\u2026\u2018term\u2019, replacing metavariables by arbitrary terms"]],"Library File (transitively required) \u2018qualid\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Library-File-(transitively-required)-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Library File \u2018qualid\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Library-File-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Ltac Profiler encountered an invalid stack (no self node)":[[53,2,1,"coq:warn.Ltac-Profiler-encountered-an-invalid-stack-(no-self-node).-This-can-happen-if-you-reset-the-profile-during-tactic-execution"," This can happen if you reset the profile during tactic execution"]],"Ltac2 alias \u2018qualid\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Ltac2-alias-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Ltac2 definition \u2018qualid\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Ltac2-definition-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Ltac2 notation \u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Ltac2-notation-\u2018ltac2_scope\u2019\u2026\u2018ltac2_scope\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Nested proofs are discouraged and not allowed by default. This error probably means that you forgot to close the last "Proof." with "Qed." or "Defined."":[[31,0,1,"coq:exn.Nested-proofs-are-discouraged-and-not-allowed-by-default.-This-error-probably-means-that-you-forgot-to-close-the-last-\"Proof.\"-with-\"Qed.\"-or-\"Defined.\".-If-you-really-intended-to-use-nested-proofs,-you-can-do-so-by-turning-the-\"Nested-Proofs-Allowed\"-flag-on"," If you really intended to use nested proofs, you can do so by turning the "Nested Proofs Allowed" flag on"]],"New coercion path ... is ambiguous with existing ..":[[4,2,1,"coq:warn.New-coercion-path-...-is-ambiguous-with-existing-...",""]],"No information can be deduced from this equality and the injectivity of constructors. This may be because the terms are convertible, or due to pattern matching restrictions in the sort Prop":[[66,0,1,"coq:exn.No-information-can-be-deduced-from-this-equality-and-the-injectivity-of-constructors.-This-may-be-because-the-terms-are-convertible,-or-due-to-pattern-matching-restrictions-in-the-sort-Prop.-You-can-try-to-use-option-Set-Keep-Proof-Equalities"," You can try to use option Set Keep Proof Equalities"]],"No such bound variable \u2018ident\u2019 (possible names are: \u2018ident\u2019 ..":[[57,0,1,"coq:exn.No-such-bound-variable-\u2018ident\u2019-(possible-names-are:-\u2018ident\u2019-...)",")"]],"No such goal":[[53,0,1,"coq:exn.No-such-goal.-(Goal-selector)"," (Goal selector)"],[53,0,1,"coq:exn.No-such-goal.-(fail)"," (fail)"],[65,0,1,"coq:exn.No-such-goal.-Focus-next-goal-with-bullet-\u2018bullet\u2019"," Focus next goal with bullet \u2018bullet\u2019"],[65,0,1,"coq:exn.No-such-goal.-Try-unfocusing-with-}"," Try unfocusing with }"]],"Notation \u2018string\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Notation-\u2018string\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Proof is not complete":[[65,0,1,"coq:exn.Proof-is-not-complete.-(abstract)"," (abstract)"],[57,0,1,"coq:exn.Proof-is-not-complete.-(assert)"," (assert)"]],"Require inside a module is deprecated and strongly discouraged":[[58,2,1,"coq:warn.Require-inside-a-module-is-deprecated-and-strongly-discouraged.-You-can-Require-a-module-at-toplevel-and-optionally-Import-it-inside-another-one"," You can Require a module at toplevel and optionally Import it inside another one"]],"Required library \u2018qualid\u2019 matches several files in path (found file.vo, file.vo, ..":[[58,0,1,"coq:exn.Required-library-\u2018qualid\u2019-matches-several-files-in-path-(found-file.vo,-file.vo,-...)",")"]],"SSReflect: cannot obtain new equations out of ..":[[56,2,1,"coq:warn.SSReflect:-cannot-obtain-new-equations-out-of-...",""]],"Tactic Notation \u2018qualid\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Tactic-Notation-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"Tactic \u2018qualid\u2019 is deprecated since \u2018string\u2019":[[73,2,1,"coq:warn.Tactic-\u2018qualid\u2019-is-deprecated-since-\u2018string\u2019.-\u2018string\u2019"," \u2018string\u2019"]],"The constant \u2018number\u2019 is not a binary64 floating-point value. A closest value \u2018number\u2019 will be used and unambiguously printed \u2018number\u2019":[[26,2,1,"coq:warn.The-constant-\u2018number\u2019-is-not-a-binary64-floating-point-value.-A-closest-value-\u2018number\u2019-will-be-used-and-unambiguously-printed-\u2018number\u2019.-[inexact-float,parsing]"," [inexact-float,parsing]"]],"The file \u2018ident\u2019":[[58,0,1,"coq:exn.The-file-\u2018ident\u2019.vo-contains-library-\u2018qualid\u2019-and-not-library-\u2018qualid\u2019","vo contains library \u2018qualid\u2019 and not library \u2018qualid\u2019"]],"The relation \u2018ident\u2019 is not a declared reflexive relation. Maybe you need to require the Coq.Classes":[[63,0,1,"coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-reflexive-relation.-Maybe-you-need-to-require-the-Coq.Classes.RelationClasses-library","RelationClasses library"]],"The relation \u2018ident\u2019 is not a declared symmetric relation. Maybe you need to require the Coq.Classes":[[63,0,1,"coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-symmetric-relation.-Maybe-you-need-to-require-the-Coq.Classes.RelationClasses-library","RelationClasses library"]],"The relation \u2018ident\u2019 is not a declared transitive relation. Maybe you need to require the Coq.Classes":[[63,0,1,"coq:exn.The-relation-\u2018ident\u2019-is-not-a-declared-transitive-relation.-Maybe-you-need-to-require-the-Coq.Classes.RelationClasses-library","RelationClasses library"]],"This command is just asserting the names of arguments of \u2018qualid\u2019. If this is what you want, add ': assert' to silence the warning. If you want to clear implicit arguments, add ': clear implicits'":[[40,2,1,"coq:warn.This-command-is-just-asserting-the-names-of-arguments-of-\u2018qualid\u2019.-If-this-is-what-you-want,-add-':-assert'-to-silence-the-warning.-If-you-want-to-clear-implicit-arguments,-add-':-clear-implicits'.-If-you-want-to-clear-notation-scopes,-add-':-clear-scopes'"," If you want to clear notation scopes, add ': clear scopes'"]],"This hint is not local but depends on a section variable":[[59,2,1,"coq:warn.This-hint-is-not-local-but-depends-on-a-section-variable.-It-will-disappear-when-the-section-is-closed"," It will disappear when the section is closed"]],"Type of \u2018qualid\u2019 seems incompatible with the type of \u2018qualid\u2019. Expected type is: \u2018type\u2019 instead of \u2018type\u2019":[[70,2,1,"coq:warn.Type-of-\u2018qualid\u2019-seems-incompatible-with-the-type-of-\u2018qualid\u2019.-Expected-type-is:-\u2018type\u2019-instead-of-\u2018type\u2019.-This-might-yield-ill-typed-terms-when-using-the-notation"," This might yield ill typed terms when using the notation"]],"Unable to apply lemma of type "..." on hypothesis of type "..":[[57,0,1,"coq:exn.Unable-to-apply-lemma-of-type-\"...\"-on-hypothesis-of-type-\"...\"","""]],"Unused variable \u2018ident\u2019 might be a misspelled constructor. Use _ or _\u2018ident\u2019 to silence this warning":[[45,2,1,"coq:warn.Unused-variable-\u2018ident\u2019-might-be-a-misspelled-constructor.-Use-_-or-_\u2018ident\u2019-to-silence-this-warning.",""]],"\u2018ident\u2019 already exists":[[27,0,1,"coq:exn.\u2018ident\u2019-already-exists.-(Axiom)"," (Axiom)"],[31,0,1,"coq:exn.\u2018ident\u2019-already-exists.-(Definition)"," (Definition)"],[31,0,1,"coq:exn.\u2018ident\u2019-already-exists.-(Theorem)"," (Theorem)"]],"\u2018qualid\u2019 should go from Byte.byte or (list Byte":[[70,0,1,"coq:exn.\u2018qualid\u2019-should-go-from-Byte.byte-or-(list-Byte.byte)-to-\u2018type\u2019-or-(option-\u2018type\u2019)","byte) to \u2018type\u2019 or (option \u2018type\u2019)"]],"\u2018qualid\u2019 should go from Number.int to \u2018type\u2019 or (option \u2018type\u2019). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or PrimFloat.float or Number":[[70,0,1,"coq:exn.\u2018qualid\u2019-should-go-from-Number.int-to-\u2018type\u2019-or-(option-\u2018type\u2019).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-PrimFloat.float-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-or-PrimFloat-first)","number could be used (you may need to require BinNums or Number or PrimInt63 or PrimFloat first)"]],"\u2018qualid\u2019 should go from \u2018type\u2019 to Byte.byte or (option Byte.byte) or (list Byte.byte) or (option (list Byte":[[70,0,1,"coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Byte.byte-or-(option-Byte.byte)-or-(list-Byte.byte)-or-(option-(list-Byte.byte))","byte))"]],"\u2018qualid\u2019 should go from \u2018type\u2019 to Number.int or (option Number.int). Instead of Number.int, the types Number.uint or Z or PrimInt63.pos_neg_int63 or Number":[[70,0,1,"coq:exn.\u2018qualid\u2019-should-go-from-\u2018type\u2019-to-Number.int-or-(option-Number.int).-Instead-of-Number.int,-the-types-Number.uint-or-Z-or-PrimInt63.pos_neg_int63-or-Number.number-could-be-used-(you-may-need-to-require-BinNums-or-Number-or-PrimInt63-first)","number could be used (you may need to require BinNums or Number or PrimInt63 first)"]],"\u2018string\u2019 cannot be interpreted as a known notation in \u2018ident\u2019 entry":[[70,0,1,"coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation-in-\u2018ident\u2019-entry.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""," Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by "_""]],"\u2018string\u2019 cannot be interpreted as a known notation":[[70,0,1,"coq:exn.\u2018string\u2019-cannot-be-interpreted-as-a-known-notation.-Make-sure-that-symbols-are-surrounded-by-spaces-and-that-holes-are-explicitly-denoted-by-\"_\""," Make sure that symbols are surrounded by spaces and that holes are explicitly denoted by "_""]],"package-name":[[58,0,1,"coq:exn.package-name.foo-and-not-foo_plugin","foo and not foo_plugin"]],"plugin name anymore":[[58,0,1,"coq:exn.plugin-name-anymore.-Plugins-should-be-loaded-using-their"," Plugins should be loaded using their"]]},objnames:{"0":["coq","exn","Coq exn"],"1":["coq","tacn","Coq tacn"],"2":["coq","warn","Coq warn"],"3":["coq","cmd","Coq cmd"],"4":["coq","flag","Coq flag"],"5":["coq","thm","Coq thm"],"6":["coq","opt","Coq opt"],"7":["coq","attr","Coq attr"],"8":["coq","table","Coq table"],"9":["coq","tacv","Coq tacv"]},objtypes:{"0":"coq:exn","1":"coq:tacn","2":"coq:warn","3":"coq:cmd","4":"coq:flag","5":"coq:thm","6":"coq:opt","7":"coq:attr","8":"coq:table","9":"coq:tacv"},terms:{"0":[2,3,4,5,7,8,9,10,11,12,13,24,25,26,27,28,29,30,33,34,35,36,40,42,43,45,49,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74,76],"00":52,"000":[16,52],"0000000000000002":26,"00075471":76,"00076024":76,"00076039":76,"001":63,"001u":63,"002":63,"002u":63,"003":[53,63],"003u":63,"004":53,"00816703":76,"01":[16,52],"019":52,"02":[16,28,52,76],"022":63,"02451322":76,"026":52,"027":52,"028":52,"02e":[16,28],"03":[8,16,52],"0380":16,"03ff":16,"04":52,"05":16,"0515":76,"0530":76,"05ef":16,"06":[16,23,52,76],"068":52,"069":[52,53],"07":[16,76],"08":[16,76],"09":16,"0beta":24,"0m00":52,"0m03":52,"0m04":52,"0s":70,"0x":28,"0x2a":16,"0xap12":28,"0xb":16,"1":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],"10":[2,5,23,24,28,30,51,53,56,58,59,63,70,73,76],"100":[16,53,59,63,70],"1000":[61,63],"100000":28,"1000000":28,"1000000000000000000000000000000000":28,"1000000000000000000000000000000001":28,"10002":16,"10008":16,"10012":16,"10014":16,"10017":16,"10019":16,"10022":16,"10049":16,"10053":16,"10059":16,"10061":16,"1007":76,"10076":16,"10085":16,"10088":16,"10095":16,"10108":16,"10110":16,"10111":16,"10112":16,"10117":16,"10156":16,"10167":16,"10173":16,"10180":16,"10185":16,"10202":16,"10205":16,"10215":16,"1024":2,"10245":16,"10277":16,"10289":16,"10291":16,"102e":16,"10301":16,"10302":16,"10305":16,"10318":16,"10324":16,"10331":16,"10336":16,"10343":16,"10360":16,"10361":16,"10366":16,"10390":16,"10399":16,"104":76,"10400":16,"10430":16,"10439":16,"10441":16,"10445":16,"10471":16,"10476":16,"10486":16,"10489":16,"10494":16,"105":16,"10577":16,"10592":16,"10614":16,"10651":16,"10657":16,"10664":16,"10728":16,"10731":16,"10739":16,"10747":16,"10750":16,"10757":16,"10758":16,"10760":16,"10762":16,"10765":16,"10772":16,"10774":16,"10796":16,"10803":16,"10806":16,"10811":16,"10812":16,"10824":16,"10827":16,"10832":16,"10842":16,"10852":16,"10858":16,"1088":76,"10891":16,"10894":16,"10895":16,"10897":16,"10899":16,"10904":16,"10912":16,"10932":16,"10947":16,"10956":16,"10963":16,"10965":16,"10966":16,"10970":16,"10971":16,"10985":16,"10988":16,"10996":16,"10997":16,"10998":16,"11":[2,23,24,33,52,56,59],"110":59,"11000":16,"11011":16,"11014":16,"11018":16,"11025":16,"11033":16,"11039":16,"11048":16,"11052":16,"11058":16,"11063":16,"11068":16,"11069":16,"11070":16,"11080":16,"11081":16,"11090":16,"11091":16,"11098":16,"11099":16,"11102":16,"11113":16,"11114":16,"11120":16,"11121":16,"11123":16,"11127":16,"11128":16,"11131":16,"11132":16,"11136":16,"11162":16,"11164":16,"11172":16,"11183":16,"11185":16,"11187":16,"11191":16,"11203":16,"11227":16,"11231":16,"11233":16,"11235":16,"11237":16,"11240":16,"11241":16,"11242":16,"11245":16,"11249":16,"11254":16,"11255":16,"11258":16,"11261":16,"11263":16,"11270":16,"11276":16,"11277":16,"11280":16,"11288":16,"11295":16,"11301":16,"11302":16,"11311":16,"11314":16,"11329":16,"11331":16,"11335":16,"11337":16,"11350":16,"11353":16,"11357":16,"11360":16,"11361":16,"11362":16,"11368":16,"11370":16,"11394":16,"11396":16,"11400":16,"11402":16,"11404":16,"11409":16,"11414":16,"11415":16,"11422":16,"11423":16,"11428":16,"11429":16,"11430":16,"11436":16,"11447":16,"1145":76,"11474":16,"11486":16,"11503":16,"11504":16,"11506":16,"11522":16,"11523":16,"11530":16,"11534":16,"11546":16,"11579":16,"1158":76,"11585":16,"11589":16,"11590":16,"11595":16,"11600":16,"11601":16,"11602":16,"11604":16,"11606":16,"11617":16,"11618":16,"11631":16,"11650":16,"11663":16,"11665":16,"11686":16,"11689":16,"117":76,"11705":16,"11718":16,"11720":16,"11725":16,"11727":16,"11740":16,"11741":16,"11742":16,"11746":16,"11755":16,"11760":16,"11761":16,"11783":16,"11795":16,"11797":16,"11811":16,"11812":16,"11816":16,"11828":16,"11841":16,"11848":16,"11851":16,"11859":16,"11866":16,"11869":16,"11871":16,"11877":16,"11880":16,"11882":16,"11883":16,"11885":16,"11890":16,"11891":16,"11903":16,"11905":16,"11906":16,"11909":16,"11913":16,"11914":16,"11943":16,"11944":16,"11946":16,"11948":16,"11957":16,"11958":16,"11960":16,"11961":16,"11962":16,"11963":16,"11970":16,"11972":16,"11976":16,"11981":16,"11986":16,"11992":16,"12":[10,24,28,52,53,56,57,70],"120":[50,70],"12001":16,"12005":16,"12006":16,"12008":16,"12011":16,"12014":16,"12015":16,"12018":16,"12023":16,"12026":16,"12027":16,"12031":16,"12033":16,"12034":16,"12035":16,"12037":16,"12044":16,"12045":16,"12060":16,"12068":16,"12070":16,"12073":16,"12076":16,"12091":16,"12093":16,"12094":16,"12096":16,"12097":16,"12099":16,"12103":16,"12106":16,"12109":16,"12116":16,"12120":16,"12121":16,"12126":16,"12129":16,"12139":16,"12146":16,"12148":16,"12150":16,"12152":16,"12157":16,"12159":16,"12162":16,"12163":16,"12172":16,"12186":16,"12196":16,"12197":16,"12200":63,"12210":16,"12211":16,"12213":16,"12218":16,"12223":16,"12224":16,"12228":16,"12233":16,"12234":16,"12237":16,"12239":16,"12240":16,"12246":16,"12253":16,"12254":16,"12255":16,"12256":16,"12257":16,"12258":16,"12263":16,"12266":16,"12286":16,"12287":16,"12288":16,"12295":16,"12296":16,"123":70,"12317":16,"12322":16,"12323":16,"12324":16,"12326":16,"12330":16,"12332":16,"12348":16,"12358":16,"12365":16,"12366":16,"12368":16,"12387":16,"12388":16,"12389":16,"12399":16,"12411":16,"12414":16,"12418":16,"12420":16,"12422":16,"12423":[16,53],"12425":16,"12454":16,"12467":16,"12479":16,"12483":16,"12484":16,"125":13,"12513":16,"12516":16,"12521":16,"12523":16,"12525":16,"12537":16,"12541":16,"12552":16,"12556":16,"12562":16,"12567":16,"12571":16,"12572":16,"12575":16,"12582":16,"12583":16,"12586":16,"12594":16,"12595":16,"126":[13,52],"12613":16,"12647":16,"12648":16,"12653":16,"12677":16,"12678":16,"12682":16,"12683":16,"12685":16,"12707":16,"12708":16,"12716":16,"12738":16,"12752":16,"12754":16,"12755":16,"12756":16,"12762":16,"12765":16,"12768":16,"12770":16,"12772":16,"12773":16,"12775":16,"12777":16,"12787":16,"12793":16,"12794":16,"12799":16,"128":2,"12801":16,"12803":16,"12806":16,"1281":76,"12813":16,"12816":16,"12827":16,"12837":16,"12845":16,"12846":16,"12847":16,"12857":16,"12860":16,"12861":16,"12862":16,"12871":16,"12874":16,"128mb":50,"128u":52,"12908":16,"12946":16,"12950":16,"12960":16,"12965":16,"12972":16,"12975":16,"12979":16,"12984":16,"12986":16,"12992":16,"13":[23,24,50,53,56,76],"13004":16,"13007":16,"13011":16,"13016":16,"13018":16,"13026":16,"13028":16,"13040":16,"13062":16,"13063":16,"13067":16,"13071":16,"13078":16,"13080":16,"13092":16,"13096":16,"13106":16,"13139":16,"13145":16,"13150":16,"13155":16,"13157":16,"13165":16,"13166":16,"13183":16,"13188":16,"13189":16,"132":13,"13202":16,"13216":16,"13217":16,"13232":16,"13235":16,"13236":16,"13237":16,"13244":16,"13247":16,"13255":16,"13265":16,"13266":16,"13278":16,"13287":16,"13288":16,"13290":16,"13296":16,"13298":16,"13301":16,"13303":16,"13307":16,"13312":16,"13317":16,"13330":16,"13331":16,"13336":16,"13337":16,"13339":16,"13344":16,"13345":16,"13349":16,"13351":16,"13352":16,"13354":16,"13356":16,"13363":16,"13365":16,"13373":16,"13376":16,"13381":16,"13383":16,"13384":16,"13386":16,"13387":16,"13388":16,"13394":16,"13403":16,"13405":16,"13408":16,"13413":16,"13415":16,"13417":16,"13428":16,"13432":16,"13436":16,"13442":16,"13448":16,"13456":16,"13458":16,"13459":16,"13460":16,"13468":16,"13469":16,"1347":16,"13473":16,"13480":63,"13484":16,"13490":16,"13495":16,"135":76,"13501":16,"13509":16,"13512":16,"13517":16,"13519":16,"13541":16,"13550":16,"13556":16,"13559":16,"13562":16,"13563":16,"13566":16,"13568":16,"13579":16,"13581":16,"13582":16,"13586":16,"13589":16,"13617":16,"13618":16,"1362":16,"13624":16,"13654":16,"13671":16,"13696":16,"13699":16,"136u":52,"137":[13,26],"13702":16,"13715":16,"13724":16,"13725":16,"13727":16,"13741":16,"13758":16,"13759":16,"13760":16,"13761":16,"13762":16,"13763":16,"13764":16,"13774":16,"13778":16,"13781":16,"13783":16,"138":13,"13804":16,"13810":16,"13822":16,"13830":16,"13837":16,"1384":23,"13840":16,"13842":16,"13849":16,"13852":16,"13853":16,"13859":16,"1386":23,"13867":16,"1387":23,"13870":16,"13871":16,"13876":16,"13882":16,"13885":16,"13895":16,"139":13,"13909":16,"13911":16,"13912":16,"13914":16,"13920":16,"13927":16,"13939":16,"1394":23,"13942":16,"13952":16,"13955":16,"13964":16,"13965":16,"13966":16,"13967":16,"13969":16,"13976":16,"13977":16,"13986":16,"13996":16,"13997":16,"13998":16,"14":[23,24,50,52,56,59,63],"14005":16,"14006":16,"14007":16,"14008":16,"14009":16,"14011":16,"14012":16,"14015":16,"1402":23,"14023":16,"14024":16,"14033":16,"14037":16,"1404":23,"14041":16,"14059":16,"14070":16,"14081":16,"14083":16,"14086":16,"14087":16,"14089":16,"14090":16,"14092":16,"14093":16,"14094":16,"14096":16,"14100":16,"14102":16,"1412":23,"14124":16,"14125":16,"14128":16,"14137":16,"14138":16,"14141":16,"14148":16,"14153":16,"14174":16,"14183":16,"14189":16,"142":13,"14207":16,"14208":16,"14211":16,"14234":16,"14238":16,"14256":16,"14257":16,"14258":16,"14260":16,"14261":16,"14263":16,"14265":16,"1427":23,"14283":16,"14285":16,"14293":16,"143":[16,52],"14305":16,"14309":16,"14310":16,"14314":16,"14317":16,"14336":16,"14343":16,"14345":16,"1435":23,"1437":23,"14371":16,"14374":16,"14377":16,"14378":16,"14379":16,"14382":16,"14384":16,"14386":16,"14392":16,"14395":16,"14406":16,"14408":16,"14425":16,"14439":16,"14446":16,"14452":16,"14457":16,"14458":16,"14486":16,"14493":16,"145":[13,52],"14505":16,"14513":16,"14525":16,"14527":16,"14528":16,"14529":16,"14539":16,"14548":16,"14558":16,"14563":16,"14571":16,"14573":16,"14574":16,"1459":23,"14596":16,"146":13,"1460":23,"14601":16,"14606":16,"14609":16,"14610":16,"14644":16,"14650":16,"14651":16,"14652":16,"14657":16,"14660":16,"14662":16,"14664":16,"14666":16,"14668":16,"14669":16,"14670":16,"14671":16,"14672":16,"14673":16,"14678":16,"14679":16,"14683":16,"14685":16,"14687":16,"14693":16,"14695":16,"14696":16,"14697":16,"14699":16,"147":13,"14705":16,"14708":16,"14713":16,"14718":16,"14722":16,"14731":16,"14732":16,"14734":16,"14736":16,"14750":16,"14758":16,"14780":16,"14787":16,"14801":16,"14802":16,"14809":16,"14813":16,"14819":16,"14843":16,"14844":16,"14848":16,"14863":16,"14872":16,"14874":16,"14879":16,"14892":16,"14899":16,"14901":16,"14907":16,"14928":16,"14930":16,"14938":16,"14940":16,"14957":16,"14959":16,"14963":16,"14967":16,"14975":16,"14984":16,"14986":16,"14989":16,"14996":16,"15":[2,12,24,51,52,56,58,65],"150":[13,16,54],"15015":16,"15020":16,"15043":16,"15046":16,"15056":16,"15059":16,"15070":16,"15072":16,"15075":16,"15076":16,"15078":16,"15081":16,"15085":16,"15098":16,"15099":16,"151":[13,76],"15121":16,"15122":16,"15139":16,"15171":16,"15193":16,"15194":16,"152":76,"15204":16,"15206":16,"15214":16,"15215":16,"15220":16,"15221":16,"15244":16,"15245":16,"15250":16,"15256":16,"15268":16,"15272":16,"15274":16,"15277":16,"15279":16,"15280":16,"15289":16,"15291":16,"15294":16,"153":52,"15300":16,"15314":16,"15322":16,"15333":16,"15334":16,"15335":16,"15338":16,"15340":16,"15347":16,"15355":16,"15366":16,"15378":16,"15382":16,"15385":16,"15388":16,"15397":16,"15403":16,"15410":16,"15411":16,"15412":16,"15420":16,"15424":16,"15426":16,"15427":16,"15434":16,"15442":16,"15446":16,"15448":16,"15451":16,"15483":16,"15494":16,"15496":16,"15497":16,"15498":16,"15511":16,"15526":16,"15527":16,"15531":16,"15532":16,"15537":16,"15554":16,"15559":16,"15560":16,"15567":16,"15568":16,"15575":16,"15577":16,"15578":16,"15581":16,"15596":16,"15597":16,"15599":16,"156":13,"15600":16,"15606":16,"15612":16,"15619":16,"15620":16,"15621":16,"15628":16,"15633":16,"15634":16,"15637":16,"15644":16,"15650":16,"15652":16,"15653":16,"15657":16,"15662":16,"15668":16,"15669":16,"15675":16,"15683":16,"15690":16,"15693":16,"157":52,"15714":16,"15719":16,"15725":16,"15728":16,"15733":16,"15741":16,"15745":16,"15752":16,"15754":16,"15760":16,"15778":16,"15788":16,"15789":16,"15799":16,"15802":16,"15814":16,"15838":16,"15839":16,"15843":16,"15853":16,"15861":16,"15864":16,"15866":16,"15867":16,"15873":16,"15882":16,"15884":16,"15886":16,"15888":16,"15893":16,"15903":16,"15912":16,"15921":16,"15933":16,"15938":16,"15939":16,"15945":16,"15947":16,"15964":16,"15965":16,"15967":16,"15983":76,"15984":16,"15986":16,"15996":16,"15e":16,"16":[2,24,52,53,56,58,59,70],"16004":16,"16005":16,"16007":16,"16015":16,"16023":16,"16026":16,"16030":16,"16046":16,"16062":16,"16063":16,"16066":16,"16069":51,"16070":16,"16096":16,"16101":16,"16106":16,"16118":16,"16126":16,"16135":16,"16142":[16,51],"16158":16,"16168":16,"16179":16,"16184":16,"16186":16,"162":52,"16203":16,"16217":16,"16224":16,"16230":16,"16258":16,"16268":16,"16282":16,"16287":16,"16289":16,"16293":16,"163":[52,76],"16302":16,"16308":16,"16322":16,"16323":16,"16340":16,"16355":16,"16375":16,"16395":16,"16407":16,"16409":16,"16411":16,"16413":16,"16414":16,"16415":16,"16418":16,"16429":16,"16434":16,"16436":16,"16438":16,"16440":16,"16466":16,"16472":16,"16479":16,"16485":16,"16489":16,"16498":16,"16512":16,"16519":16,"16531":16,"16535":16,"16536":16,"16537":16,"16538":16,"16540":16,"16547":16,"16552":16,"16556":16,"16571":16,"16588":16,"16602":16,"16605":16,"16632":16,"16645":16,"16651":16,"16655":16,"16659":16,"16670":16,"16677":16,"16686":16,"16690":16,"16725":16,"16731":16,"16738":16,"16740":16,"16743":16,"16752":16,"16756":16,"16757":16,"16764":16,"16765":16,"16768":16,"16785":16,"16788":16,"16796":16,"16817":16,"16829":16,"16831":16,"16837":16,"16842":16,"16843":16,"16845":16,"16850":16,"16859":16,"16874":16,"16890":16,"16892":16,"169":16,"16902":16,"16903":16,"16904":16,"16909":16,"16910":16,"16911":16,"16914":16,"16915":16,"16918":16,"16920":16,"16925":16,"16926":16,"16929":16,"16931":16,"16937":16,"16945":16,"16947":16,"16957":16,"16958":16,"16959":16,"16960":16,"16981":16,"16988":16,"16989":16,"16991":16,"16992":16,"16994":16,"16996":16,"16997":16,"16999":16,"16th":[23,76],"17":[12,23,24,26,52,56],"17008":16,"17010":16,"17013":16,"17015":16,"17021":16,"17022":16,"17023":16,"17027":16,"17035":16,"17036":16,"17038":16,"17042":16,"17045":16,"17050":16,"17069":16,"17071":16,"17073":16,"17079":16,"17082":16,"17090":16,"17094":16,"17108":16,"17110":16,"17113":16,"17114":16,"17115":16,"17116":16,"17117":16,"17118":16,"17123":16,"17137":16,"17138":16,"17172":16,"17173":16,"17174":16,"17206":16,"17217":16,"17221":16,"17232":16,"17258":16,"17270":16,"17274":16,"17281":16,"17285":16,"17295":16,"173":2,"17303":16,"17304":16,"17305":16,"17316":16,"17318":16,"17322":16,"17324":16,"17333":16,"17344":16,"17347":16,"17352":16,"17359":16,"17364":16,"17371":16,"17382":16,"17394":16,"17411":16,"17417":16,"17427":16,"17430":16,"17451":16,"17452":16,"17467":16,"17468":16,"17475":16,"17478":16,"17484":16,"17488":16,"17489":16,"17491":16,"17495":16,"175":76,"17503":16,"17508":16,"17534":16,"17541":16,"17544":16,"17564":16,"17575":16,"17576":16,"17585":16,"17591":16,"17594":16,"17597":16,"17646":16,"17660":76,"17667":16,"17669":16,"17670":16,"17697":16,"17702":16,"17704":16,"17716":16,"17718":16,"17721":16,"17732":16,"17733":16,"17734":16,"17743":16,"17744":16,"17745":16,"17747":16,"17754":16,"17772":16,"17774":16,"17777":16,"17782":16,"17787":16,"17788":16,"17789":16,"17794":16,"17795":16,"17796":16,"17801":16,"17805":16,"17817":16,"17832":16,"17836":16,"17841":16,"17844":16,"17845":16,"17854":16,"17856":16,"17857":16,"17860":16,"17861":16,"17871":16,"17872":16,"17887":16,"17889":16,"17891":16,"17892":16,"17894":16,"17902":16,"17927":16,"17934":16,"17935":16,"17936":16,"17946":16,"17959":16,"17963":16,"17964":16,"17984":16,"17985":16,"17987":16,"17988":16,"17991":16,"17993":16,"17998":16,"18":[4,12,24,56,57,58,59,63],"180":53,"18004":16,"18005":16,"18006":16,"18008":16,"18014":16,"18022":16,"18025":16,"18026":16,"1803":16,"18059":16,"18067":16,"18068":16,"18076":16,"18077":16,"18082":16,"18094":16,"18095":16,"18096":16,"18102":16,"18104":16,"18106":16,"18139":16,"18151":16,"18152":16,"18157":16,"18158":16,"18159":16,"18163":16,"18164":16,"18165":16,"18176":16,"18190":16,"18193":16,"18194":16,"18195":16,"18197":16,"18209":16,"18223":16,"18230":16,"18239":16,"18243":16,"18254":16,"18273":16,"18292":16,"18293":16,"18311":16,"18325":16,"18331":16,"18342":16,"18359":16,"18374":16,"18392":16,"18393":16,"18395":16,"184":76,"18434":16,"18442":16,"18444":16,"18445":16,"18447":16,"18448":16,"18463":16,"184u":63,"1850":52,"1859":16,"186":16,"18th":23,"19":[23,24,40,56,76],"1912":16,"192":52,"1955":76,"1958":76,"1960":23,"1965":23,"197":76,"1970":23,"1972":76,"1980":76,"1981":76,"1982":76,"1983":23,"1984":23,"1985":[23,76],"1986":[23,76],"1987":23,"1988":[23,76],"1989":[23,76],"1990":[23,76],"1991":[23,76],"1992":[23,76],"1993":[23,76],"1994":[23,76],"1995":[23,76],"1996":23,"1997":76,"1998":[23,76],"1999":23,"19th":23,"1_000_000":28,"1a":53,"1b":53,"1beta":24,"1cvaclvffya5r":50,"1gamma":24,"1p_1":33,"1st":[23,26,33,45,56,58,63,70,71],"2":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],"20":[16,45,56,66,76],"200":[16,51,70],"2000":[16,76],"2001":[23,76],"2002":[23,76],"2003":23,"2004":16,"2005":76,"2006":16,"2007":76,"2008":[16,76],"2010":16,"2011":[16,76],"2013":76,"2015":[16,23],"2016":16,"2017":16,"2018":16,"2019":[16,76],"2020":16,"2021":16,"2022":16,"2023":16,"2034574":76,"2034798":76,"2051":76,"207":[63,76],"208":52,"2080":16,"2089":16,"209":76,"20x":16,"21":[45,53],"2100":16,"2104":16,"212":76,"214f":16,"216":76,"2168":16,"2188":16,"2190":16,"21ff":16,"22":[53,56],"2200":16,"2236":16,"228":76,"22ff":16,"22nd":23,"2300":16,"231":52,"2336":16,"235":76,"2357":16,"236u":52,"237":76,"2372":8,"239":52,"23ff":16,"24":[10,16,43,52,53,76],"240":50,"246":76,"2489":16,"24th":23,"25":[10,43,63],"2500":16,"252":76,"25379":76,"255":50,"2555":16,"256":2,"256mb":50,"25th":23,"26":[52,53,76],"2600":16,"262":16,"2642":50,"2680":16,"2693":16,"26ff":16,"27":[52,53],"270":53,"2700":76,"273":53,"274":53,"28":76,"2828":16,"28756":53,"2884":16,"28x":10,"29":59,"2900":16,"297f":16,"2_5":76,"2a00":16,"2aff":16,"2ap":16,"2nd":[23,33,40,45,56,66,71,76],"2x":[5,10],"2y":5,"3":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,73,74,75,76],"30":[10,16,23,26,70],"300":[16,23],"3051":16,"31":[16,26],"3115":16,"3166":16,"31st":23,"32":[2,16,35,50,52,65],"3209":16,"3219":16,"328":76,"3282":16,"3290316":76,"32mword":50,"33":52,"337720":52,"337876":52,"34":[10,52,70,76],"3415":16,"345":76,"3479":16,"3488":16,"35":[16,26,52],"3527":16,"3556":16,"356":16,"357":76,"36":56,"3613":16,"362":76,"3632":16,"3659":16,"37":[52,76],"3763":76,"377":76,"3826":16,"384":16,"3844":13,"3848":13,"387":51,"3886":16,"3890":16,"39":[16,52,70],"3941":16,"3943":16,"394648":52,"394700":52,"395448":52,"39634":76,"3989":16,"3994":16,"3em":[25,30,33,34,37],"4":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],"40":[13,16,26,40,70],"400":16,"4069":16,"4095":16,"4097":16,"41":[16,50,52,56],"4105":16,"4129":16,"414":16,"4156":16,"4167":16,"421":16,"4250":16,"43":[16,52,53],"4306":16,"4369":16,"4373":16,"4398":16,"44":16,"4413":16,"4415":16,"4416":16,"4436":16,"4450":16,"4476":63,"4495":16,"45":[16,76],"450":16,"4502":76,"4503":16,"4504":16,"4506":16,"4511":16,"45184":52,"4519":16,"4522":16,"4529":16,"4530":16,"4533":16,"4537":16,"4540":16,"4542":16,"4544":16,"4547":16,"4548":16,"4555":16,"45634":8,"4574":16,"4580":16,"4582":16,"4588":16,"4591":16,"4593":16,"4596":16,"46":[10,76],"4603":16,"4606":16,"4607":16,"4608":16,"4614":16,"4623":16,"4627":16,"4630":16,"4632":16,"4638":16,"4644":16,"4673":16,"4677":16,"4683":16,"4690":16,"4696":16,"47":52,"4709":16,"4712":16,"4718":16,"4720":16,"4721":16,"4725":16,"4738":16,"4741":16,"4747":16,"4752":16,"4754":16,"4762":16,"4769":16,"4776":63,"4777":16,"4780":16,"48":[16,50],"4818":16,"4822":16,"4823":16,"4824":16,"4832":16,"4841":16,"4844":16,"4851":16,"4858":16,"4863":16,"4871":16,"4876":16,"4880":16,"4881":16,"4882":16,"4887":16,"4890":16,"49":76,"4911":16,"4912":16,"4925":16,"4947":16,"4969":16,"4970":16,"498":65,"4994":16,"4beta":24,"4beta2":24,"4th":[23,40,43,76],"5":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],"50":[16,26,40,41,43,52,56,58,70,76],"500":16,"5001":16,"5007":16,"5008":16,"5019":16,"5026":16,"5030":16,"5043":16,"5062":16,"5065":16,"5077":16,"5095":16,"5097":16,"51":16,"5102":16,"512":2,"5123":16,"5127":16,"5132":16,"5150":16,"5155":16,"5159":16,"5163":16,"5173":16,"52":52,"5205":16,"522":16,"5222":16,"5233":16,"52335":76,"5239":16,"5244":16,"5248":16,"5255":16,"5275":16,"5300":16,"5304":16,"5315":16,"532":63,"532u":63,"5336":16,"5351":16,"5360":16,"5365":16,"5369":16,"5377":16,"5380":16,"5384":16,"5390":16,"5394":16,"54":16,"540":76,"5414":16,"5417":16,"5420":16,"5435":16,"5439":16,"5445":16,"5449":16,"5475":16,"5476":16,"5481":16,"5482":16,"5486":16,"5487":16,"55":[16,53],"5501":16,"5507":16,"5520":16,"5521":16,"5522":16,"5523":16,"5524":16,"5526":16,"5535":16,"5546":16,"5548":16,"5550":16,"5553":16,"5568":16,"5574":16,"5577":16,"5578":16,"5589":16,"5597":16,"5598":16,"5607":16,"5618":16,"5619":16,"5620":16,"5641":16,"5648":16,"5651":16,"5671":16,"56772":52,"56980":52,"57":16,"5702":16,"5706":16,"5726":16,"5730":16,"5752":16,"5764":16,"581478":76,"581501":76,"582153":76,"582176":76,"59":[16,56],"592":52,"5941":16,"5_13":76,"5beta1":24,"5beta2":24,"5beta3":24,"5d4558edf8f5c2c548a3d96c17820169":16,"5pl1":24,"5pl2":24,"5pl3":24,"6":[2,8,9,24,28,34,52,53,54,56,57,70,73,76],"60":[26,52,53],"6042":16,"6092":16,"61":[16,52],"6109":16,"6134":16,"6261":16,"6278":16,"63":[5,16,28,35,70],"6332":16,"64":[2,35,50,65],"642":76,"6459":16,"650":[16,23,53],"66":[52,76],"664":76,"6677":16,"6705":16,"6714":16,"6785":16,"68":52,"6857":16,"69":52,"6914":16,"6976":16,"6beta1":24,"6f62bda":16,"6th":23,"7":[2,10,24,53,56,63,70,73,74,76],"70":[16,26,35,41,56,70,71],"7015":16,"7017":16,"7086":76,"709":76,"7093":16,"71":45,"7135":16,"72":45,"720":76,"7221":16,"7253":16,"7309":16,"7333":16,"7348":16,"7385":16,"7393":16,"74":52,"7443":16,"7462":16,"75":[16,26,70],"7522":16,"75277":76,"75285":76,"754":[16,35],"757":16,"7615":16,"7632":16,"7634":16,"7674":16,"7675":16,"7695":16,"7697":16,"7698":16,"7723":16,"7725":16,"7730":16,"7766":16,"7769":16,"7791":16,"78":58,"7812":16,"7825":16,"7886":16,"7894":16,"7902":16,"7911":16,"7916":16,"7979":16,"7998":76,"7edelahay":76,"7x":10,"8":[2,4,12,23,24,26,29,34,40,50,51,52,53,56,57,58,59,63,65,70,74],"80":[26,70],"8032":16,"8062":16,"8080":16,"8094":16,"81":13,"8161":16,"8171":16,"8176":76,"82":76,"8215":16,"8217":16,"8252":16,"8276":16,"836":52,"8365":16,"8388607":16,"8388851":16,"84":76,"8419":16,"8451":16,"8457":16,"8459":16,"8481":53,"8488":16,"85":[26,52,70,76],"8540":16,"8555":16,"8560":16,"8638":16,"8642":16,"8667":16,"8669":16,"87":[23,52],"872":16,"8739":16,"874":16,"8764":16,"8779":16,"8791":16,"88":[23,52,76],"8808":16,"8815":16,"8817":16,"8819":16,"8820":16,"8829":16,"8850":16,"8855":16,"8859":74,"8870":16,"8898":16,"89":[52,76],"8905":16,"8920":16,"8945":16,"8965":16,"8987":16,"8989":16,"8991":16,"8_62":76,"8th":23,"9":[2,23,24,28,29,34,52,53,56,63,70,73,76],"9000":16,"9001":16,"9013":16,"9058":16,"9078":16,"9095":16,"9098":16,"91":[7,59,76],"9114":16,"9117":16,"9133":16,"9142":16,"9146":65,"9148":16,"9160":16,"9162":16,"92":[53,76],"9214":16,"9270":16,"9274":16,"9279":16,"9288":16,"9294":16,"93":52,"9300":16,"9306":16,"9307":16,"9319":16,"9336":16,"9341":16,"9363":16,"9364":16,"9379":16,"94":76,"9403":16,"9410":16,"9425":16,"947":76,"9490":16,"95":[26,53,59,76],"9508":16,"9509":16,"9512":16,"9514":16,"9517":16,"9519":16,"9521":16,"9524":16,"9530":16,"9532":16,"9555":16,"9569":16,"96":52,"9602":16,"9608":16,"9651":16,"9668":16,"9670":16,"9681":16,"9682":16,"9696":16,"97":[52,76],"9705":16,"9711":16,"9716":16,"9725":16,"9741":16,"9743":16,"9767":16,"9772":16,"978":76,"9803":16,"9811":16,"9816":16,"9825":16,"9829":16,"9840":16,"9844":16,"9848":16,"9851":16,"9854":16,"9856":16,"9867":16,"9872":16,"9874":16,"9876":16,"9883":16,"9884":16,"9885":16,"99":[16,26,70],"9906":16,"9918":16,"992":53,"9939":16,"996":76,"9964":16,"9971":16,"9979":16,"9984":16,"9995":16,"9996":16,"9_":70,"9_26":76,"9_47":76,"9e":76,"9th":76,"\u00e0":[16,23,54],"\u00e8":76,"\u00e9":76,"\u00e9cole":23,"\u00e9lie":16,"\u00eb":76,"\u015ferb\u0103nu\u0163\u0103":16,"\u03b1":[3,13,24,53,54,56],"\u03b113":13,"\u03b2":[16,24,25,56],"\u03b2\u03b4\u03b9":10,"\u03b2\u03b4\u03b9\u03b6":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],"\u03b2\u03b4\u03b9\u03b6\u03b7":[13,25,30,33,34],"\u03b2\u03b9":[16,40,56,63],"\u03b2\u03b9\u03b6":63,"\u03b2v":54,"\u03b3":[13,25,30,33,34,37,54],"\u03b3_":[25,33],"\u03b3_1":[25,33],"\u03b3_2":25,"\u03b3_c":[25,33,34,37],"\u03b3_i":[25,33,34,37],"\u03b3_n":33,"\u03b3_p":[25,33,34],"\u03b4":[24,25,36,40,56,63,66],"\u03b6":[24,25,56],"\u03b7":[11,16,24,29],"\u03b7\u03b6":56,"\u03b9":[24,25,33,40,54,63],"\u03bb":[16,23,25,30,33,37,51,53,56,65,76],"\u03bbp":33,"\u03bbprolog":62,"\u03bbs":51,"\u03bbx":[25,30,33],"\u03bbz":33,"\u03c0":51,"\u03c1":56,"\u03c3":[34,66],"\u03c6":[16,63,70],"\u03c9":76,"\u2115":38,"a\u2081":4,"a\u2096":4,"abstract":[2,4,5,10,12,13,16,23,24,25,26,27,28,33,34,37,41,43,53,54,57,58,63,66,70],"andr\u00e8":16,"ar\u00eda":16,"arma\u00ebl":16,"boolean":[2,5,9,10,12,13,16,23,24,26,28,33,36,38,39,41,54,58,59,61,63,66,70],"break":[11,16,28,29,51,56,58,63,65,70,72,73],"byte":[16,23,50,58,65,70],"c\u00e9dric":16,"case":[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],"cast\u00e9ran":[16,76],"catch":[3,16,24,41,45,56],"char":[2,16,52],"chargu\u00e9raud":16,"chrz\u0105szcz":[16,23],"cl\u00e9ment":[3,16],"class":[12,16,23,24,26,27,34,38,41,43,56,58,59,61,63],"const":[25,33,36,53],"cr\u00e9gut":23,"d\u00e9mon":23,"d\u00e9monstrat":76,"d\u00e9n\u00e8":16,"default":[2,3,4,5,8,9,10,11,12,13,16,23,24,26,28,31,33,34,36,42,43,50,51,52,53,54,56,57,58,59,61,63,65,66,70,73,74],"do":[2,3,4,7,8,12,13,16,23,24,26,28,30,31,33,34,36,37,41,45,50,51,52,54,56,57,58,59,61,62,63,65,66,70,73,74],"double":56,"export":[3,8,9,10,12,16,23,26,28,34,50,51,53,58,59,70],"f\u03c9":23,"f\u2081":4,"f\u2096":4,"f\u2099":4,"filli\u00e2tr":[2,16,23,76],"final":[2,3,4,5,8,9,10,12,13,16,23,24,26,28,34,39,50,51,52,53,56,58,63,65,66,70,74],"float":[13,16,23,24,58,70],"formalis\u00e9":23,"fr\u00e9d\u00e9ric":[5,16,56],"fr\u00e9deric":16,"fran\u00e7oi":[16,56],"franti\u0161ek":16,"function":[2,3,5,9,10,11,12,13,16,23,24,25,26,30,32,34,35,36,38,41,44,45,50,51,54,56,57,58,61,63,66,70,72,76],"g\u00e1sp\u00e1r":16,"g\u00e9rard":[23,76],"g\u00f6teborg":23,"ga\u00ebtan":16,"gim\u00e9nez":[23,76],"gr\u00e9goir":[10,16],"gr\u00f6bner":[7,16],"grabovsk\u00fd":16,"gu\u00e9neau":16,"hu\u1ef3nh":16,"ident\u2081":45,"ident\u2099":45,"import":[2,3,4,5,6,7,9,10,12,16,23,24,25,26,27,28,30,31,33,34,35,39,41,42,43,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71],"int":[2,3,16,35,54,70,74],"j\u00e9r\u00f4me":23,"jes\u00fa":16,"judica\u00ebl":23,"ko\u0161\u00edk":16,"l\u00e9chenet":16,"l\u00e9o":16,"l\u00f6f":[23,26,33],"laulh\u00e8r":23,"leli\u00e8vr":16,"lo\u00efc":[7,16,23],"long":[8,13,16,24,29,50,51,52,57,58,66,70],"march\u00e9":[16,23],"mat\u011bj":16,"math\u00e9matiqu":23,"mu\u00f1oz":[23,76],"new":[4,5,6,8,12,13,14,24,26,28,30,31,33,35,36,38,41,42,45,50,51,53,54,57,59,60,63,65,66,70,71,72,74,76],"null":[16,23,26,56],"p\u00e9drot":16,"public":[13,16,24,49,58,73],"q\u2081":16,"q\u2082":16,"r\u00e9alis":23,"r\u00e9gi":16,"rapha\u00ebl":16,"return":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],"s\u00e9bastien":16,"sa\u00efbi":[4,23],"short":[8,13,16,23,24,30,34,35,50,52,54,56,58,63,74],"st\u00e9phane":16,"static":[16,23,24,52,70],"sup\u00e9rieur":23,"super":63,"switch":[3,8,12,13,16,23,24,50,52,65],"synth\u00e8s":23,"t\u2081":4,"t\u2098":4,"t\u2099":4,"th\u00e8se":76,"th\u00e9o":16,"th\u00e9ori":76,"th\u00e9ry":[10,16,23],"throw":[16,54],"tr\u1ea7n":16,"triangleright_\u03b2":30,"triangleright_\u03b4":[30,34],"triangleright_\u03b6":30,"triangleright_\u03b7":30,"triangleright_\u03b9":33,"true":[2,4,5,7,9,10,11,12,13,16,23,25,26,33,34,35,36,39,40,43,45,50,52,53,54,56,57,58,61,63,66,70,73],"try":[2,3,10,13,16,23,24,33,34,39,40,42,45,52,54,56,59,61,63,65,66,70],"trzci\u0144ski":16,"u\u2081":4,"u\u2098":4,"universit\u00e9":76,"v\u1d62":54,"v\u2080":54,"v\u2081":4,"v\u2099":[4,54],"var":[16,23,25,53,57],"void":16,"w\u2081":50,"w\u2099":50,"while":[2,3,4,8,9,11,12,13,16,23,24,25,26,28,30,31,32,33,34,35,36,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,72],"x\u1d62":54,"x\u2080":54,"x\u2081":4,"x\u2096":4,"x\u2099":[4,54],A:[3,4,5,7,8,9,10,11,12,16,23,24,25,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,45,49,50,51,52,53,54,56,58,59,61,62,63,65,70,71,73,74,75,76],And:[41,50,52,53,70],As:[2,3,5,6,8,9,10,12,13,16,25,27,29,33,35,36,37,40,41,42,43,45,50,52,53,54,56,57,58,59,65,66,70,71],At:[8,10,13,23,25,26,32,33,41,50,51,53,54,56,58,59,70,73],BE:2,Be:[16,74],But:[2,10,16,33,38,40,45,50,52,53,74],By:[3,4,5,10,11,12,13,16,28,36,43,45,50,52,53,54,56,59,63,65,66,70],For:[2,3,4,5,7,8,9,10,11,12,13,15,16,23,25,26,27,28,29,30,33,34,35,36,37,39,40,41,42,43,44,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,74],IF:[16,70],IS:70,If:[2,3,4,5,7,8,9,10,12,13,16,25,27,28,29,31,33,34,36,37,38,40,41,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,73,74],In:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],Is:[24,65],It:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,24,26,27,28,29,30,31,33,34,36,39,40,41,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],Its:[3,10,16,23,51,54,56,59,66],NO:56,No:[3,5,6,9,10,11,12,13,16,23,24,25,29,33,34,35,39,41,43,53,54,56,57,58,59,61,63,65,66,70,71,73],Not:[10,16,26,31,43,50,51,53,54,57,63,66,71,74,76],Of:[2,13,41,50,56],On:[3,11,16,23,26,29,31,36,39,43,45,50,52,53,56,57,63,70],One:[3,8,9,12,13,16,24,30,31,33,36,37,38,43,50,52,53,54,58,59,63,65,66,70,74],Or:[11,16,40,52,57],Such:[11,29,34,41,43,52,54,58,70,74],TO:2,That:[3,26,28,29,33,35,51,53,54,57,63,65],The:[2,3,4,5,6,8,9,11,12,13,14,16,23,24,27,28,29,30,31,32,35,36,37,38,39,40,41,42,45,50,51,53,54,57,58,59,61,62,63,64,65,66,71,72,76],Their:[3,16,31,33,38,54,56,58,70],Then:[2,4,5,10,13,23,25,26,28,31,33,40,41,45,50,52,53,54,56,57,58,59,63,64,65,66,70,73,74],There:[4,8,9,10,13,16,23,24,25,26,27,28,33,36,37,38,39,43,45,50,51,52,53,54,56,57,58,59,62,63,65,66,70,71,74],These:[3,10,12,13,16,23,24,26,27,28,30,31,33,35,36,37,39,51,52,53,54,56,57,59,63,65,66,70,71,72],To:[3,4,5,6,7,8,9,12,13,16,23,24,26,28,29,31,33,36,37,38,40,41,43,45,50,51,52,53,54,56,57,58,63,65,66,70,71,73,74],WITH:34,With:[3,12,13,16,45,52,56,57,66,70],_0:16,_1:34,_:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],__arith:5,__ff:5,__varmap:5,__wit:5,__x1:5,__x2:5,_a_:56,_and_:23,_assoc:58,_b_:56,_complet:71,_coqproject:[16,24,50,51],_correct:71,_darc:50,_e:70,_emphas:74,_eqn:16,_equat:71,_f:[40,71],_foo:16,_full:16,_h:28,_hl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],_ho:28,_hyp_:56,_i:[34,70],_ind:[33,34,39,70,71],_invol:16,_involut:16,_l:[16,33],_list:70,_list_sep:70,_m:34,_morphism:3,_mybool_scop:40,_n_:56,_not_:16,_p:70,_pack:41,_r:[16,40],_rec:[33,34,39,70,71],_rect:[16,33,34,39,70,71],_scope:70,_sind:[33,34,39,70],_subproof:[16,58,65],_subterm:58,_tcc:71,_termin:71,_underscores_:16,_x:[45,56],_x_:[16,56],_xxx_:56,a0:[23,45,66],a1:[3,26,33,45,56,57,70],a2:[3,26,33,57],a3:26,a_1:[25,33,34,37],a_:33,a_i:[25,33],a_j:[33,34],a_k:[33,34],a_l:25,a_left:16,a_m:33,a_n:[33,37],a_p:33,a_r:33,a_right:16,aac:16,aaron:16,ab:[26,56,66,70],abadi:76,abandon:16,abbr:16,abbrevi:[4,5,12,13,16,23,24,26,31,34,58,73],abc:70,abel:76,abezoutn:56,abhishek:16,abidin:76,abil:[2,3,10,11,12,16,29,51],abl:[3,8,10,12,13,16,23,24,33,41,43,45,50,52,54,56,57,58,60,61,66],abort:[3,10,16,41,43,53,54,56,63,65,66],about:[2,3,5,10,12,13,14,16,23,24,26,28,29,33,36,38,40,50,51,52,53,54,56,57,58,59,61,63,65,66,71],abov:[2,3,5,10,12,13,16,23,27,29,33,36,37,41,43,50,51,52,53,54,56,57,58,63,65,70,71,74],abr:23,abridg:56,abruptli:51,absenc:[9,16,70],absent:[36,58],absolut:[16,23,34,50,52,54,70],absurd:[5,26,33,50,57],absurd_hyp:16,absurd_set:26,abus:[2,54],ac19:[11,76],academ:76,acc:[16,26,33,34],acc_in:33,acc_ind:33,acc_intro:26,acc_inv:26,acc_it:16,acc_iter2:16,acc_rec:33,acc_rect:[16,26,33],acc_sind:33,acceler:[16,51],accept:[2,3,8,12,16,23,27,28,29,31,33,39,43,44,45,50,51,52,53,54,56,57,59,63,65,70,71],access:[5,13,16,23,24,27,31,32,33,34,35,37,43,50,51,52,54,56,58,70],accessopaqu:16,accident:[16,56],accommod:[23,56],accompani:16,accomplish:[13,56],accord:[2,10,16,25,33,34,40,50,52,56,58,59,63,70],accordingli:[8,16,39],account:[5,12,13,16,23,25,33,36,40,43,53,56,59,66,70],accumul:53,accur:[16,51,52,56,70],accustom:56,acdsimpl:10,achiev:[7,10,12,16,23,53,56,70],achil:54,ack0:59,ack1:59,ack2:59,ack:[58,59],ackermann:58,ackm:58,acknowledg:24,acm:76,aco:16,across:[16,51,53,54,56,58,72],act:[9,16,36,45,51,53,54,66],actic:76,action:[16,23,51,52,56,59],activ:[8,9,13,16,23,24,28,31,34,36,41,42,43,45,51,52,53,58,59,63,65,70],actual:[2,3,5,8,10,13,16,23,33,36,41,42,43,45,53,54,56,59,63,66,70,71],acycl:[23,38],aczel:23,ad:[2,4,9,12,13,16,23,24,26,33,36,41,43,50,52,53,54,56,57,58,59,61,63,65,66,70,72,74,76],adam:16,adapt:[3,7,16,23,50,56,62],add1:54,add:[3,4,5,8,9,10,12,13,16,23,24,26,28,30,31,33,36,37,40,41,43,45,50,52,53,54,56,57,58,59,61,63,65,66,70,72,74],add_0_l:16,add_assoc:[16,58],add_bottom:[16,70],add_carri:16,add_carry_div2:58,add_comm:[3,16,58,63],add_instance_attempt:41,add_last:56,add_mul:56,add_shuffle0:58,add_shuffle1:58,add_shuffle2:58,add_shuffle3:58,add_succ_comm:58,add_top:[16,70],add_transpose_neqkei:16,add_un_double_moins_un_xo:16,add_zifi:5,addit:[3,4,5,8,9,12,16,23,24,26,28,30,33,34,38,50,51,52,53,54,56,57,58,59,61,63,64,65,66,70,71,72],addition:[9,12,13,16,33,45,52,53,57,58,63,65],addn0:56,addn:56,addnc:56,addnca:56,addpath:[16,23],addr:16,addrecpath:[16,23],address:[16,51],addsn:56,addsnn:56,addx:56,adhoc:[16,36],adjac:56,adjoin:16,adjoint:16,adjointif:16,adjust:[13,16,37],admiss:[29,37],admit:[8,9,12,16,29,31,36,41,45,50,51,56,65],admitaxiom:16,adopt:[16,56,72,74],adrian:16,advanc:[5,16,24,32,33,41,52,53,54,57,63,70,73],advantag:[8,16,23,45,50,52,56,61,63,66],advertis:16,advic:14,advis:[10,16,23,24,27,28,29,53,59],aeq:3,aesthet:53,affect:[11,16,23,28,40,43,45,52,53,54,56,58,59,63,65,70],affeldt:16,aforement:[9,50,54],aft:74,after:[2,4,5,7,8,9,10,12,16,23,28,31,33,34,37,40,41,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71],afterward:[9,16,40,43,51,56,59,65,66],again:[3,12,16,23,33,41,51,52,56,59,63,65,70],against:[12,16,43,53,56,57,58,59,61],agda:29,aggress:56,ago:16,ahead:[16,53],aid:23,aim:65,aka:[16,71],akin:[16,29,54],akira:16,al:[3,56],al_unit:53,ala:52,alban:16,albeit:16,aleksandar:76,alessandro:76,alexand:16,alexandr:16,algebra:[7,13,16,23,38,41,53,54,63,76],algorithm:[3,7,9,10,12,16,23,24,40,50,53,56,58,61,65,76],algorithmica:76,ali:16,alia:[2,16,23,28,34,45,54,57,59],alias1:34,alias2:34,alias:[16,23,24,28,34,54],alias_definit:[54,57],align:[58,70],all:[2,3,4,5,7,8,9,10,11,12,13,16,23,25,26,27,28,29,30,33,34,35,36,37,38,39,40,41,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72],all_eq:11,all_iff_morph:3,all_nul:56,all_sig2_cond:16,allai:16,alldfil:52,allevi:66,alloc:[16,50],allow:[2,3,4,5,7,8,9,10,11,12,13,16,23,24,25,26,27,29,30,31,33,36,37,39,41,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71],allt:[16,23],alltact:51,almost:[3,16,56,66,74],alon:[16,23,33,66],along:[8,16,23,33,52,56,57,65,73],alongsid:16,alpha:[16,30,53,54],alpha_p:5,alphabet:16,alreadi:[2,4,12,16,23,26,27,31,36,40,41,43,50,51,52,53,54,56,57,58,59,65,66,70,72],alright:2,also:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,33,34,36,37,38,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71,72,73,74,76],alter:[16,34,74],altern:[7,8,9,10,12,16,23,24,28,29,34,39,42,43,45,51,52,54,56,58,61,63,64,65,70,74,76],although:[3,5,9,16,34,36,52,54,56,57,59,63,65],alvarado:23,alwai:[2,3,4,6,9,10,11,12,13,16,23,25,33,34,36,40,41,43,50,51,52,53,54,56,57,59,65,66,70,73,74],am:54,ambient:54,ambigu:[4,16,24,45,52,56,58,59,65,70],ambiti:23,ambrois:16,amen:66,amend:41,amin:16,amokran:[4,23],among:[7,8,12,16,23,24,25,33,43,52,53,54,56,63],amorim:16,amount:[3,5,8,13,16,26,50,53,57],an:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,45,50,51,52,53,54,57,59,61,62,63,64,65,70,71,73,74,76],ana:16,analog:[3,16,33,53,56,57,65],analogu:56,analys:12,analysi:[16,23,24,29,33,36,39,45,56,57,71,76],analyz:[16,26,39,56,66],anand:16,ancestor:[23,52],andE:56,and_assoc:58,and_darc:50,and_rect2:26,andb:[12,16,26,61],andb_comm:58,andb_negb_l:16,andb_prop:58,andb_true_intro:58,andbc:56,andp:56,andpp:16,andr:16,andrea:[16,76],andrej:16,andrew:[16,76],anew:56,angl:23,anguag:76,ani:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,25,27,28,29,30,31,33,34,36,37,38,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,74],annoi:56,annot:[3,9,13,16,23,24,26,33,40,41,44,50,52,54,56,65],anomali:[16,23,58],anonym:[13,16,23,24,43,53,65],anoth:[3,4,9,10,12,13,16,23,26,30,31,33,34,39,41,42,43,45,50,51,52,53,54,56,57,58,61,62,63,65,66,70],anr:16,ansi:50,answer:[10,45,52],antialias:51,antinomi:23,antipoli:[16,23],antiquot:[16,24],antisymmetr:16,anton:16,antonia:71,antonio:16,anymor:[9,16,54,58],anyth:[2,12,16,34,43,45,50,54,56,57,63,74],anything_ind:2,anything_rec:2,anything_rect:2,anything_sind:2,anytim:53,anywai:56,anywher:[42,57,74],ap:[4,10],apart:[9,12,30,34,54],api:[8,16,24,58,62],app:[16,25,26,33,34,54,57,66],app_ass:16,app_assoc_revers:16,app_eq_app:16,app_eq_con:16,app_inj_pivot:16,app_inj_tail_iff:16,app_inv_head_iff:16,app_inv_tail_iff:16,app_nil_end:16,app_nth2_plu:16,app_rlist:16,appar:[13,16,50,53,56],apparatu:9,appart:50,appcontext:16,appdata:51,appeal:26,appear:[2,6,9,10,12,13,16,23,27,28,30,33,34,36,37,38,40,42,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,73,74],appel:16,append:[3,16,28,34,42,52,53,65,74],append_const:16,append_inj:16,appendix:16,appli:[2,3,4,5,9,10,12,13,16,23,24,25,26,27,28,29,30,31,33,34,35,36,37,39,40,41,43,45,50,52,53,54,58,59,61,65,70,71,74],applic:[3,5,10,12,13,16,23,24,25,28,29,34,35,36,40,45,51,54,56,58,59,63,65,66,70,71,76],apply_id:70,apply_mor:3,approach:[23,26,51,52,54,56,57,66,74],appropri:[4,12,13,16,28,52,54,56,58,61,63,65,66,74],approxim:[5,11,13,16,59],apr:16,april:[16,76],ar:[2,3,4,5,6,7,8,9,10,11,12,13,15,16,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,49,50,51,52,53,54,57,58,59,60,61,62,63,64,66,70,71,72,73,74],ar_unit:53,arab:28,arakaki:16,arbitrari:[2,3,5,10,13,16,23,30,43,45,52,56,59,61,70],arbitrarili:[16,57,70],archclean:52,architect:23,architectur:[16,23,28],archiv:[16,76],area:16,aren:[16,51,52,53,57,72,74],arg:[16,23,27,36,43,50,52,54,56,59,66],arg_spec:40,args_modifi:40,argument:[3,4,5,6,7,8,9,10,11,12,13,16,23,24,26,27,28,29,30,31,32,33,34,37,39,41,42,44,50,51,53,54,57,58,59,61,63,65,71,74],argument_spec:40,ari:[3,16,33],aria:16,aris:[3,9,12,16,29,66,70],arith:[3,5,9,10,16,23,26,42,52,56,57,58,59,63,71],arith_bas:16,arith_prebas:16,arithmet:[16,23,24,35,43,56,59,60,70],arithr:10,ariti:[2,16,23,24,45,54],arnaud:16,around:[11,16,23,28,45,51,52,54,56,57,58,63,66,70,74],arr:[25,33],arrai:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],array_get:35,array_set:35,array_typ:35,arrow:[3,4,13,16,51,56,59,63,66],art:[16,51],arthur:16,articl:23,articul:70,artifact:16,artifici:[16,23,66,70],as_ipat:57,as_nam:57,ascand:23,ascii:[16,51,52,70,74],ascii_as_ot:16,asciisyntax:16,ascrib:16,asf:76,asid:[65,66],asin:16,ask:[2,3,16,24,41,42,52],askra:58,aspect:[16,23,45],asr:16,ass:53,ass_app:16,assert:[2,16,23,24,25,27,33,40,53,54,56,57,61,63,65,66,70],assert_fail:[16,24],assert_succe:[16,24],assia:[10,16,41,56,76],assign:[8,16,24,26,28,42,50,51,52,53,54,57,65,70],assist:[16,23,32,64,74],assoc:53,associ:[2,3,10,12,13,16,23,24,25,26,27,28,30,31,33,34,35,36,41,43,45,50,51,52,53,54,56,57,58,59,63,65,66],assum:[2,3,5,8,10,12,16,25,26,27,31,33,34,35,37,38,41,43,45,50,52,53,54,56,57,58,63,65,70,74],assumpt:[4,16,23,24,25,31,32,33,34,35,43,50,51,52,53,57,58,59,65,66],assumption_token:[27,58],assur:[16,52],ast:[16,23,36],ast_closure_term:16,asterisk:74,asymc:51,asymmetr:[16,45],asymptot:[2,58],async:[8,16,51,53],asynchron:[16,24,65,75],atan_right_inv:16,atom:[4,5,8,13,16,25,59,61,66,70],atomic_tac2pat:54,attach:[13,16,28,51,58,70,73],attack:50,attempt:[8,16,23,40,51,53,65],attent:65,attila:16,attr:[16,28,50],attr_valu:28,attract:16,attribtu:13,attribut:[3,9,12,13,15,24,27,29,31,33,36,37,39,40,41,43,50,53,54,58,59,61,63,65,70,73],auger:16,august:[16,23],austin:23,author:[2,3,4,5,7,8,9,10,13,16,26,28,41,45,56,72,73],auto:[10,12,13,16,23,28,33,40,43,50,51,53,56,57,58,59,61,65,66,71],auto_us:59,autoappli:[12,16],autocomplet:16,autogener:16,autoinlin:[2,16],autom:[16,23,24,42,53,58,60,63,65,66,76],automat:[2,3,5,7,9,12,13,16,23,24,26,27,33,34,36,39,41,45,51,52,53,54,56,57,59,63,64,65,70,71,74,76],automath:23,automatiqu:76,automaton:[23,74],autonom:16,autorewit:16,autorewrit:[3,16,23,59],autounfold:[16,59],auxiliari:[8,16,52,53,56,65],avail:[2,8,9,10,11,12,16,23,24,26,29,34,35,36,37,39,41,45,49,50,51,52,53,54,56,57,58,59,61,62,63,64,65,70,71,73,74,75,76],avec:23,averag:23,avi:16,avl:[16,26],avoid:[8,10,11,12,16,23,24,28,33,36,51,53,54,56,57,58,59,63,65,66,70,73],awai:53,await:51,awar:[16,50,51,54,57,58,61,65],awkward:[23,53,54],ax:[25,43,66],axiom:[3,7,9,10,11,13,16,23,24,26,27,28,29,30,31,33,34,35,41,43,50,51,53,56,57,58,59,63,65,66,70,71,73],axiomat:[16,23,26,35,53,70],axiomatis:16,ayach:16,azevedo:16,b0:45,b1:[56,58],b2:[56,58],b2n:[40,58],b3:56,b:[2,3,4,8,9,10,11,12,13,16,23,24,26,27,30,33,34,36,37,39,40,41,43,45,49,50,51,52,53,54,56,58,59,61,63,65,66,70,76],b_1:33,b_:33,b_i:33,b_j:33,b_m:33,b_r:33,ba:16,back:[3,9,13,16,23,50,51,53,56,57,58,65,66],backchain:56,backend:23,background:[8,16,30,50,51,53,65],backport:16,backquot:16,backslash:50,backspac:51,backto:[16,58],backtrac:[16,24,54,58],backtrack:[10,12,16,23,24,51,57,59,66],backward:[16,24,50,51,54,56,65,70],bad:[2,10,11,13,16,33,58,63],baeld:16,bahmann:16,bail:8,bakel:16,balaa:71,balanc:[16,56],banner:23,bar0:54,bar81:[25,65,76],bar:[2,8,13,16,28,34,50,51,52,54,56,63,65,70,73],bare:[16,70],barenblat:16,barendregt:[23,76],barra:[10,16,23],barrett:16,barri:16,bart:16,barth:71,base0:59,base1:59,base:[3,5,10,11,12,13,16,23,28,32,34,38,41,42,43,50,51,52,53,54,56,57,59,61,62,63,65,66,70,72,74,76],base_includ:58,basenam:52,bash:[8,16,51],basi:[7,16,51,58],basic:[3,10,16,23,24,31,32,33,34,36,39,41,43,45,50,57,58,59,62,65,66,72],basicelim:[16,66],basicmatch:45,batch:[16,24,53,65],bati:16,baz:[13,52],bazaux:52,bdd:2,bdenesgregoire11:[63,76],beautifi:[16,50],becam:[16,23],becaus:[2,3,4,8,10,11,13,16,23,25,27,28,30,32,33,34,36,38,39,40,42,43,44,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71],beck:16,becker:16,becom:[2,8,10,16,23,25,27,33,34,39,43,45,51,52,54,56,57,58,63,65,66,70],bedrock:16,been:[2,3,8,9,10,12,13,16,23,24,26,28,31,33,34,40,41,43,45,50,51,52,53,54,56,57,58,59,62,63,65,66,70,71,72,73],beep:70,befor:[2,4,5,12,13,16,27,28,31,33,36,40,41,43,50,51,52,53,54,56,57,58,59,63,65,66,70,72,73,74],beforehand:[16,50,54],begin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],beginn:[16,24],behalf:16,behav:[3,10,16,23,28,30,33,34,42,52,53,54,56,57,59,61,63,66,70],behavior:[2,3,4,10,12,13,16,23,28,29,31,33,40,42,43,50,51,52,53,54,56,57,58,59,63,65,66,70,72,74],behaviour:16,behind:[4,16,27,33,56],being:[2,3,9,10,11,12,13,16,23,31,32,33,34,36,37,39,41,45,50,51,52,53,54,56,58,59,63,65,66,70,71,74],believ:[16,54],bell:16,belong:[5,8,10,25,26,28,33,36,38,52,53,56,58,59,62,66,70,74],below:[2,4,5,8,9,10,12,13,16,24,25,26,30,33,34,37,39,40,42,50,51,52,53,54,56,58,63,65,70,71,73,74],benaissa:76,benchmark:[16,53],benefici:8,benefit:[12,16,50,56],bengtson:16,benjamin:[10,16,76],berlin:76,bernhard:16,bernstein:23,bertholon:16,bertot:[16,23,71],bertrand:16,besid:[3,16,23,33,56],besson:[5,16],best:[12,16,52,53,56,59],best_effort:[12,16],beta1:24,beta2:24,beta3:24,beta:[2,10,16,23,54,56,57,63,70,76],betaiota:16,better:[10,13,16,23,50,51,52,56,58,59,63,71],between:[3,4,8,10,12,13,16,23,24,25,26,28,32,33,37,38,42,43,45,50,51,52,53,56,57,59,63,64,66,70,71,74],bewar:[16,52,54,62,66],beyond:[58,62],bezem:76,bezout_comm:16,bf:[12,16],bfb0037116:76,bfb0040259:76,bformula:5,bg:65,bhat:16,bi:3,bibliographi:24,bibtex:16,bidirect:16,bidirection:[16,24],big:[10,13,16,56,58,70],big_int:16,big_int_z:16,big_prop:56,bigbodi:56,bigger:33,biggest:52,bigint:[16,28,70],bign:16,bignat:[28,70],bignum:[16,52],bigop:56,bigq:16,bigvee_:5,bigwedge_:5,bigwedge_i:5,bigz:[16,52],bij:4,biject:[4,16],bin:[16,52],binari:[3,5,7,10,13,16,23,26,28,36,41,50,52,56,57,59,63,70],binary64:[16,26,35],bind:[3,9,13,16,23,24,27,31,33,34,36,39,42,43,45,50,53,56,63,65,66,71],binder:[11,12,16,23,24,29,31,33,36,37,39,51,53,54,57,58,62,63,66,74],binder_interp:70,bindir:[16,50],binint:[16,52],binintdef:16,binnat:[16,58],binnatdef:[16,58],binnum:[16,58,70],binop:5,binopspec:[5,16],binpo:[16,58],binposdef:[16,58],binrel:5,bird:6,birkhaus:76,bishop:23,bit0_eqb:58,bit:[2,5,16,26,28,29,33,35,50,52,65,70,74,76],bitvector:16,bitwis:[16,58],blaauwbroek:16,black:[16,28],blacklist:[2,16,58],blah:54,blank:[16,23,28,52],blanqui:56,blaudeau:16,blazi:76,bleed:16,bliss:54,blob:51,block:[2,9,13,16,24,28,29,33,36,37,43,45,53,63,64,66],blocktyp:8,blow:16,blowup:16,blue:[28,51],bm:56,bmod:56,bodi:[2,4,6,12,13,16,23,31,34,36,37,40,41,43,50,54,56,57,58,63,71,74],bodin:16,bodo:16,boespflug:76,bogu:8,bohannon:16,bold:65,boldfac:28,boldo:23,book:[16,24],bookkeep:24,bool:[2,4,5,11,12,16,23,26,29,34,35,36,39,40,41,43,45,54,56,57,58,59,70],bool_as_dt:16,bool_as_ot:16,bool_cas:39,bool_choic:[26,58],bool_in_nat:4,bool_ind:[26,39],bool_rec:[26,39],bool_rect:[26,39],bool_scop:[16,26,40,70],bool_sind:[26,39],boolean_if_scop:56,boolnot:16,boolord:16,boot:16,border:70,borg:16,boro:16,borrow:16,both:[2,3,4,10,13,16,23,24,25,26,27,28,30,33,36,39,41,42,43,45,50,51,52,53,56,57,59,60,63,65,66,72,73],bottom:[3,16,36,45,51,53,54,57,63,70],bottomup:3,bou97:[10,76],boulier:16,bound:[3,5,6,7,13,16,23,24,25,26,27,30,31,33,38,40,41,43,45,51,53,54,56,57,58,59,61,63,71],boundari:[16,53],bourk:16,boutilli:16,boutin:[10,23,76],box:[11,16,28,53,70],box_ind:11,box_irrelev:11,box_rec:11,box_rect:11,box_sind:11,boyer:[16,23],brace:[24,43,51,58,70],bracket:[16,23,25,43,53,56,58,65,70,74],braibant:16,brain:16,branch:[2,5,9,16,24,33,39,44,45,54,58,59,65,66,71],brand:16,breadth:12,breakag:16,breakpoint:[16,24],breitner:16,bresenham:23,breviti:[41,57,65],bridg:[16,56],briefli:[23,26,56],bring:[16,58],broke:16,broken:[10,16],brought:16,brows:[16,24,26,51,56,72],browser:[16,51],bruijn:[16,23,32,76],bruno:[10,16,23],brute:[56,63],bs:45,btauto:[16,61],btauto_plugin:[10,26,28,35,56,65],btauto_term:61,buchberg:[7,23,76],buffer:[16,24,34,52],bug:[11,16,23,51,53,65],bugfix:16,buggi:[16,24,32],bugtrack:16,build:[2,5,9,10,13,16,23,24,25,26,31,32,33,36,41,45,50,53,54,56,58,59,62,64,65,66,71,74,75,76],build_:36,build_monad:13,build_monoid:13,build_setoid:41,buildlist:45,built:[2,4,10,16,23,24,25,30,31,33,36,40,41,51,52,53,57,59,60,61,66,70,71],builtin:51,bullet:[8,16,24,33,58],bump:16,bunch:[16,56],burden:3,busi:16,button:[8,16,23,51],buys:16,bv2n:16,bvand:16,bvector:16,bveq:16,bvneg:16,bvor:16,bvxor:16,byextend:16,bypass:58,bypass_check:[29,31,33,58],bytecod:[11,16,58,63],bytevector:16,c0:[10,58],c1:[16,45,56,70],c2:[16,45,56,70],c3:[56,70],c4:56,c:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],c_1:[5,25,33,34],c_2:5,c_:33,c_i:[5,33,34],c_k:[25,33],c_m:34,c_n:[33,34],c_pattern:56,c_q:33,cach:[5,11,16],cachan:[16,23],caci:16,caglayan:16,calcul:[23,24,76],calculi:[53,61,76],calculu:[10,13,16,23,24,26,28,30,32,33,34,36,45,53,56,57,61,63,65,66,70,76],call:[2,3,4,5,6,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,33,34,35,36,38,39,41,43,44,45,50,52,53,56,57,58,59,63,65,66,70,71],calvin:16,cambridg:[23,76],came:16,caml:[16,23,74],camlc:52,camldir:16,camlflag:[16,52],camloptc:52,camlp4:[16,23],camlp5:[16,70],camlpkg:[16,52],can:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,50,51,52,53,54,56,57,58,59,60,61,63,64,65,66,70,71,72,73,74],can_in_comp:16,can_in_pcan:16,cancel:[10,37,56,65],candid:[56,57,63,71],cannot:[2,3,4,8,9,10,11,12,13,16,25,27,28,31,33,34,35,36,39,40,43,45,50,52,53,54,56,57,58,59,61,63,65,66,70,71,74],canon:[2,4,5,10,12,16,23,24,29,31,33,34,36,43,44,52,56,58,70,76],cantor:[16,33],capabl:[3,16,50,52,53,54,63],capit:[16,28],captur:[3,16,33,43,56,63,70],car:3,carbonneaux:16,card:56,card_nat:53,cardinal_add_in:16,care:[2,12,13,16,45,52,53,63,66,70,74],carefulli:59,carl:16,carlo:[23,76],carri:16,carrier:[3,10,13,41,56],carst:16,cartesian:[13,53],carthi:59,cascad:16,case_eq:16,case_item:39,case_l_r:16,casetyp:16,cast:[2,11,16,24,39,45,53,54,56,57,59,63,70],casual:[24,56],cat:16,categor:23,categori:[4,8,12,16,34,50,58,60,73,74],catherin:9,cauchi:[16,26],caught:[45,53,54],caus:[8,11,13,16,31,50,51,52,53,54,56,57,58,63,65,70,74],caution:65,caveat:[2,16,24,54,56,59],cbn:[16,40,63],cbv:[13,16,23,30,56,63],cc:[52,76],cd:[2,52],ce:41,ceil:5,cell:35,centaur:23,central:[23,24],centuri:23,cep:16,cequival:3,certain:[4,16,23,28,43,45,50,53,56,57,58,63,66,70],certif:16,certifi:[2,9,16,23,76],cezari:16,cf07:[35,76],cf:[2,9,16,23,28,33,39,41,45,58,66],cfc58:[25,76],ch85:[23,76],ch86a:[23,76],ch86b:[23,76],chailloux:23,chain:[16,24,50,63,70,73],chaje:[16,57],challeng:[16,23,76],chalmer:[23,76],chanc:[16,52],chang:[2,4,5,8,9,10,12,13,24,25,28,30,33,35,36,37,40,42,50,51,52,53,56,57,58,59,61,63,65,66,70,72,73,74],change_arg:16,change_no_check:[16,57,63],changelog:[16,23],changement:23,channel:[16,50],chantal:16,chap:23,chapoton:16,chapter:[2,3,8,9,10,12,14,16,23,25,26,28,30,31,32,33,37,39,41,44,51,53,54,56,57,58,60,62,64,70,72,74,75],char_scop:70,charact:[2,8,13,16,23,24,26,28,34,39,43,45,52,53,54,56,57,58,63,65,70,71,73,74],character:[8,16,33,39,41],characterist:5,charg:16,charset:[51,74],chasl:23,chat:16,cheap:16,cheapli:45,check:[2,3,4,5,6,8,9,10,11,12,13,16,23,24,25,26,29,31,32,33,34,36,37,38,39,40,41,42,43,45,50,51,52,54,56,57,58,59,61,63,65,66,70,71,73,74],check_guard:58,check_posit:58,check_univers:58,checkabl:23,checker:[2,9,10,16,23,24,25,28,32,72],checkproof:[8,16],checksum:[16,50],chet:23,chetan:23,chile:16,chines:[2,23],chlipala:16,cho:16,choic:[3,16,26,33,50,51,54,61,70,74],choice2:26,choicefact:16,choos:[2,3,16,31,33,41,42,51,52,53,56,57,66,70,71,74],chose:52,chosen:[10,33,53,54,56,57,65,70],christian:16,christin:[16,23,26,33,76],christoph:[2,16,23,76],chronolog:14,chung:16,church:[23,76],ci:[10,16,52,56,72],cic:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],circ:26,circular:[4,16,56],circumv:16,cjk:[16,28],clamp:56,claret:16,clarif:16,clarifi:[16,23],clariti:[57,65],clash:[2,16,52,53,56],class_1:16,class_2:16,class_of:41,classic:[10,16,23,24,26,33,50,54,56,65],classical_left:[16,57],classical_prop:16,classical_right:[16,57],classicaldedekindr:16,classicalfact:16,classifi:[16,26],classnam:12,claud:16,claudel:16,claudio:[3,16,23],claus:[9,12,13,16,23,24,27,28,29,31,33,34,39,40,50,52,53,54,56,58,59,61,63,66,70,71],clean:[16,52,56,66,71],cleanal:[16,52],cleaner:16,cleanup:16,clear:[16,23,24,28,37,40,43,53,54,57,63,66,70],clear_switch:56,clearbodi:[16,23,37,57],clearer:54,clearli:[10,23,70,73],clenv_refine_in:16,clerc:16,clever:[16,58,63],click:[8,51],client:16,clipboard:51,clock:63,clos_refl_tran:16,close:[2,3,4,5,7,9,10,13,16,23,27,28,31,33,34,37,43,50,51,54,56,58,59,63,65,66,70,74],closedn:16,closer:[16,23,30,56,59,71],closest:[26,52],closur:[16,23,30,53,54,61,65],club:16,cm:52,cma:16,cmafil:52,cmd:[3,50,51,53],cmi:16,cmifil:52,cmo:[50,58],cmofil:52,cmorphism:[3,16],cmp:41,cmu:23,cmx:[2,3,5,6,9,10,16,26,28,33,35,41,42,50,53,54,56,57,58,59,63,65,71],cmxa:16,cmxafil:52,cmxfile:52,cmxsfile:52,cn:16,cnet:23,cnr:23,co:[4,10,16,23,24,41,43,53,56,58,63,66,70,76],co_high:13,co_low:13,coarser:16,coc:23,coc_histori:16,cockx:76,code:[9,10,11,16,23,24,28,32,35,50,51,52,53,54,56,58,59,62,63,70,71,72,73,74],codebas:16,codifi:[54,76],codomain:[16,41,70],coeffici:[7,10,16],coen:[3,16,23],coerc:[4,40,56,59],coercibl:[9,56],coercion:[9,12,16,23,24,27,34,36,40,41,44,56,57,58,76],coercion_class:[4,70],coexist:16,coffe:16,cofix:[16,24,27,28,30,43,53,54,56,63,66],cofix_bodi:29,cofix_definit:[29,37],cofixpoint:[16,28,29,31,33,37,56,63,65],cohen:16,coher:[16,40],coin:5,coinduct:[13,16,24,25,26,31,32,33,36,39,45,58,66,70],collabor:76,collaps:[13,16,50],colleagu:23,collect:[16,26,50,52,59,65,71],collid:23,collis:[16,23,50],colog:76,colon:[16,50,52,56,65],color:[8,16,24,50,51,65,74],colson:23,column:[16,45,52,56],com:[2,5,16,50,51,53],coma:51,comand:16,combin:[3,5,9,11,13,16,23,24,25,26,28,33,36,39,41,45,51,52,53,54,56,58,62,63,74],combinator:16,combinatori:76,come:[2,6,8,12,16,23,26,33,42,50,51,53,54,56,58,59,63,70],comextradep:58,comfort:[16,45],comma:[16,45,50,54,56,73],command:[2,4,5,6,7,8,9,10,11,13,15,24,25,26,27,28,29,31,33,35,36,37,39,40,41,42,43,44,45,52,53,54,57,59,61,62,63,71,72,73],commemor:[23,76],comment:[2,5,16,23,24,28,51,53,56,59,65,74],commit:[16,52,53,54,62],common:[10,13,16,24,25,26,28,30,31,33,54,56,59,66],commonli:[9,13,16,26,39,52,53,54,56,57,65],commun:[16,23,26,28,50],commut:[7,10,16,23,43,58],comp:[16,52],compa:16,compact:[16,23,24,33,53,56,58,65,70],compani:[16,65],companion:42,compar:[4,5,10,13,16,23,24,26,36,41,52,53,54,56,57,63,65,66,72],compare_cas:16,compare_cont:16,compare_dec:[16,23],compare_structur:53,comparison:[5,13,16,23,41],compat:[3,4,12,13,23,24,26,28,33,41,50,51,52,57,58,61,70],compatibl:16,compcert:24,compil:[2,3,8,9,10,11,23,24,25,26,28,31,34,35,45,54,57,63,72,73,74,76],complement:[16,56],complementari:[2,16,23,26,41,56],complet:[3,4,5,7,8,9,10,16,23,28,29,31,33,35,39,41,50,51,52,53,56,57,58,59,61,65,66,70],completeness_weak:16,complex:[2,10,16,23,24,28,32,34,51,53,54,56,58,60,62,65,66],compli:35,compliant:16,complic:[33,42,45,54],compon:[12,16,23,24,29,32,33,34,36,41,50,51,52,53,56,58,70],compos:[3,4,33,43,56,66,70],composit:[3,26,70],compound:[28,53],comprehens:23,compress:[50,52],compris:[3,23],compspec:16,comput:[2,3,7,8,9,10,16,23,24,26,28,29,31,33,34,35,36,40,41,45,50,51,54,56,58,66,70,71,76],computation:65,con:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],conc:66,concat:[16,45,54],concat_length:16,concat_nil_foral:16,concaten:[16,25,26,53,54,66],concept:[16,23,24,26,30,56,76],conceptu:[3,33],concern:[2,11,16,23,25],conchon:76,concis:[54,56],concl:[16,58],concl_occ:57,conclud:[5,12,16,33,53,56,63,66],conclus:[3,10,12,16,23,27,33,53,54,56,57,59,63,65,66,70],concret:[2,12,13,16,24,25,28,33,41,45,50,56,63,70],concurr:16,condit:[3,4,9,10,16,23,24,26,29,49,52,58,59,62,63,65,66],cone:[5,16],conejero:16,conf:[16,52],confer:[23,76],confid:[16,23,24],config:[16,50,51],configur:[8,16,23,24,28,39,50,51,58,63,65,72],confin:8,confirm:[58,70],conflict:[16,23,24,45,53,54,70],conflit:16,confluenc:30,conform:16,confus:[4,12,16,23,25,28,33,43,45,51,54,56,70],confusingli:[16,57],congr:56,congruenc:[3,11,16,23,24,33,53,61,63,66],congruenceclosur:23,conj:[26,56,57,65,70],conjectur:[16,27,65],conjunct:[3,5,10,16,23,26,33,56,58,59,66,70],connect:[16,24,56,61,70],connor:16,conor:[66,76],cons2:33,cons3:33,cons:16,cons_inj_bool:43,cons_inj_nat:43,cons_rlist:16,cons_seq:16,consequ:[16,23,25,28,33,37,38,41,42,43,45,51,56,59],conserv:[2,16],consf:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],consid:[2,3,4,5,9,10,11,12,13,16,23,25,27,28,29,30,33,36,40,41,43,45,51,52,53,54,56,57,58,59,63,66,70,72,74],consider:[3,9,16,36,38,45,63,66,70],consist:[3,4,5,8,10,12,13,16,23,26,29,30,33,34,51,54,56,57,58,63,64,65,70],consn:45,consol:53,consolid:16,consortium:16,constabl:23,constant:[2,4,5,6,9,10,12,13,16,23,24,25,26,29,30,31,33,34,35,37,40,41,43,45,50,53,54,56,57,59,63,65,66],constantli:56,constitut:[24,38,54],constr:[3,5,13,16,23,33,53,54,70],constr_eq:16,constr_eq_nouniv:16,constr_eq_strict:[16,53],constr_may_ev:16,constr_with_bind:16,constrain:[9,13,23,59,66],constraint:[3,5,8,9,12,16,23,24,33,34,38,42,43,50,52,53,54,57,66,70],constrast:36,constrexpr:16,construct:[3,4,5,8,9,10,12,13,16,24,26,27,28,29,30,32,34,40,41,42,45,51,52,54,56,57,61,62,63,64,65,66,70,76],constructivecauchyr:16,constructiveepsilon:16,constructiveminmax:16,constructivepow:16,constructiver:16,constructor:[2,4,9,11,12,13,16,23,24,25,26,29,30,31,34,35,36,39,40,41,42,43,45,53,54,56,57,58,59,61,63,65,70],consult:63,consumpt:[8,16,53,54],consw:33,contact:[16,51],contain:[2,5,7,8,12,13,14,16,23,26,28,29,30,33,34,38,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,73,74],contains0:66,contains0_ind:66,contains0_sind:66,contant:30,content:[2,16,23,26,31,34,41,50,51,52,53,56,58,65,70,74],context:[4,5,9,10,13,16,23,24,25,28,29,30,31,33,34,37,40,42,43,50,51,58,61,63,65,66,70],contextu:[16,23,24,30,40],contigu:[16,28],continu:[2,16,23,51,52,53,54,56,70,72],continut:16,contract:[16,23,30,33,53,61,70,76],contradict:[16,33,53,56,59],contradictori:[16,66],contrainst:16,contrari:[3,4,9,12,16,29,39,43,56,66],contrast:[13,16,33,52,56,59,61,66],contrastingli:[28,70],contravari:13,contravariantli:3,contrib:[2,16,23,52,54],contribut:[16,24,52,70],contributor:16,control:[2,3,12,13,15,16,23,24,33,36,40,50,51,52,54,61,66,70,74],control_command:[16,28,58],contructor:66,conv:25,conv_expr:16,conveni:[2,4,6,11,16,23,28,32,33,34,43,45,51,52,53,56,65,66,70],convent:[2,16,24,32,41,50,56,58,70],convention:[16,52,70],converg:16,convers:[2,3,7,8,9,10,11,12,16,23,24,25,29,31,32,33,34,36,53,54,56,57,65,70,74],convert:[3,4,8,11,12,13,16,24,25,26,33,36,40,43,53,54,56,57,63,66],convert_concl_no_check:16,convinc:23,coolen:16,coordin:[16,23],copattern:29,cope:16,copi:[2,14,16,35,45,51,52,53,56,58,74],coq84:16,coq85:[16,30,76],coq86:[38,76],coq88:16,coq89:[23,76],coq92:[33,76],coq:[3,4,5,6,8,9,11,12,13,14,16,25,27,28,29,30,31,32,33,34,35,36,37,40,41,42,43,44,45,49,53,54,57,58,61,62,63,64,65,66,71,72,75,76],coq_:2,coq_color:[16,50,65],coq_flag:52,coq_makefil:[8,16,23,24,50,51,58],coq_micromega:5,coq_profile_compon:50,coq_src_subdir:52,coq_vers:52,coqbin:[16,50,52],coqc:[8,16,23,24,28,51,53,58,65,74],coqchk:[16,24,52,63,72],coqchkextraflag:52,coqchkflag:[16,52],coqcorelib:52,coqdebug:52,coqdep:[16,24,50,58],coqdev:16,coqdir:[16,74],coqdoc:[16,23,24,50,52,75],coqdocdir:16,coqdocextraflag:52,coqdocflag:[16,52],coqdocid:74,coqdocinstal:[16,52],coqdockw:74,coqdocmodul:74,coqextraflag:52,coqflag:[16,52],coqid:[8,24,34,50,52,53,65,75],coqiderc:[16,51],coqidetop:16,coqlib:[16,50,52,58,70],coqlib_path:16,coqlib_url:[16,74],coqlibinstal:[16,52],coqloop:50,coqmakefil:[16,24,51],coqmakefile_vers:52,coqmktop:52,coqn:[16,50,52],coqoon:16,coqpath:[16,50,52],coqplugininstal:[16,52],coqpp:[16,52],coqprefixinstal:16,coqprim:16,coqproject:52,coqrc:[23,24],coqremotebrows:16,coqrunbyteflag:16,coqtail:[50,52,65],coqtest_skipcomplex:16,coqtimelog2html:[16,52],coqtoolsbyteflag:16,coqtop:[16,23,24,25,34,51,52,53,58,65],coqtop_bin:52,coquand:[23,33,76],coqworkmgr:[8,16],coqworkmgr_sock:8,coqxxx:50,coram:74,corbineau:[16,23],core:[3,12,16,23,24,26,28,40,44,50,53,56,58,59,61,64,70],core_scop:[13,70],corecurs:[24,32,70],corn:[23,45,66,76],cornel:23,corner:[16,63],corollari:[16,31],corpu:56,correct:[2,8,9,10,16,23,24,26,27,31,34,45,50,52,56,58,63,65,66,70],correctli:[16,23,28,33,50,51,52,53],correspond:[2,3,8,9,10,12,13,14,16,23,25,26,27,32,33,34,36,41,43,45,50,51,52,53,54,56,57,58,63,65,66,70,71,74],corrupt:[16,23],cos3pi4:16,coscoi:23,cosin:16,cosmo:76,cost:[16,50,59],could:[2,3,4,5,6,10,11,16,23,28,30,33,36,41,45,50,51,54,56,57,59,61,65,70,71,72],couldn:12,count:[12,16,24,50,56,57,58,63,65,66],count_occ:16,count_occ_app:16,count_occ_bound:16,count_occ_elt_eq:16,count_occ_elt_neq:16,count_occ_repeat_eq:16,count_occ_repeat_excl:16,count_occ_repeat_neq:16,count_occ_rev:16,count_occ_sgt:16,count_occ_uniqu:16,countabl:16,counter:[16,61],counterpart:[2,3,9,10,16,26,29,33,56],counterproduct:16,coupl:[10,16,45,52,56,74],courant:23,cours:[2,13,16,23,41,50,51,56,63,70],courtesi:16,courtieu:[16,23],cousineau:23,couterbal:16,covari:13,covariant_ind:13,covariant_rec:13,covariant_rect:13,covariant_sind:13,covariantli:3,cover:[16,43,53,56,64],cp90:[23,33,76],cp:52,cp_phi:10,cpattern:[53,54],cpermut:16,cpow:10,cpp:76,cpu:[16,58],cr_of_q:16,craft:[53,56],craig:76,cran:16,crash:16,crashcoqid:51,creal:16,creat:[3,8,9,12,16,23,24,28,33,37,39,41,50,51,52,53,56,57,58,63,65,66,71,74],creation:[16,23,42,59],credit:[16,23],crelat:3,cring:16,cristal:23,cristina:[23,45,66,76],criteria:[2,16,71],criterion:[16,32,33],critic:[16,23,32,54,58],croap:23,crone:16,cross:[16,23,63,65,70],cryptic:54,cryptograph:23,crzero:16,cs:[16,23],csdp:5,css:[51,74],cst1:16,cst2:16,cst:16,cstop:5,ct95:[66,76],ctan:74,ctcoq:23,ctl:23,ctltctl:23,ctrl:[16,51],ctx:66,ctx_ind:66,ctx_rec:66,ctx_rect:66,ctx_sind:66,cube:76,culmin:23,cumbersom:[43,54],cumul:[11,12,16,23,24,25,28,29,30,33,36,39,70],cumul_univ_decl:[13,33],cup:[16,25,33,50],cur:53,curiou:5,curli:[8,24,43,58,70],current:[2,3,4,5,8,9,11,12,13,16,23,26,27,28,31,33,34,35,36,37,40,41,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,74],curri:[16,23,25,65,76],cursor:[51,65],custom:[2,3,10,12,16,23,24,28,35,52,53,56,58],customiz:16,cut:[13,16,23,24,28,51,56,57,59],cutoff:53,cutrewrit:63,cv:[16,50],cv_infty_cv_0:16,cvc3:16,cvcl:16,cycl:16,cyclic31:16,cyclic:[16,26,63],cyclicaxiom:16,cyprien:16,cyril:[16,28],czajka:16,d0:[66,70],d1:70,d2:70,d:[2,4,5,10,13,16,23,25,33,45,50,51,52,53,56,57,61,66,74,76],d_1:10,d_2:10,d_item:56,d_tactic:56,dabrowski:16,dai:[23,50],daili:54,dalrympl:16,dama:76,dan:[16,23,76],danger:16,daniel:[16,23],dapprich:16,dark:51,darryl:16,dash:74,data:[16,23,26,33,35,38,52,54,56,63,65,76],databas:[3,12,16,24,53,56,61,63],datadir:16,datatyp:[2,16,23,24,25,34,43,45,53,54,56,58,59,66,70],date:[16,23,52],davi:23,david:[16,23,71,76],db72:[25,76],db:[3,16],dc95:[53,76],ddoubl:56,de:[16,23,32,58,76],dea:[23,76],deactiv:[9,16,23,24,26,45,58],dead:[23,63],deal:[3,5,8,12,16,23,24,41,45,56,59,63,70,71],debian:16,debug:[2,5,9,12,13,16,23,24,51,52,56,57,59,61,63,65,71],debugg:[16,23,24],dec:[9,23,45],dec_int_scop:[16,70],dec_uint_scop:[16,70],decad:16,decemb:[16,23,76],decentr:16,decid:[5,8,10,16,23,24,26,28,33,50,52,54,56,59,70],decidableclass:16,decidabletyp:16,decim:[5,16,26,28,58,70],decimalfact:16,decimaln:16,decimalnat:16,decimalpo:16,decimalstr:16,decimalz:16,decis:[2,16,23,24,57,61,63,76],decl_not:[29,33,39,70],declar:[2,4,5,6,7,8,9,10,11,13,16,23,24,25,26,27,28,29,30,31,33,34,35,36,42,45,50,52,53,57,58,59,63,70,71,74],declareunicodecharact:74,decnat:28,decod:16,decompos:[23,56,66],decomposit:56,deconstruct:45,decor:[23,28,41],decoupl:[8,16],decreas:[3,7,9,16,29,33,54,58,71],decrement:[16,53],dedekind:16,dedic:[10,16,23,28,35,54,56],deduc:[5,16,43,50,56,57,66],deduct:[5,23,56],deem:[2,50],deep:[16,23,56,66],deep_tupl:45,deepen:12,deeper:[33,45],def:[25,34,66],def_bodi:[4,31,37,41],def_n:56,default_bindings_src:51,default_go:52,default_with:16,defaultrel:3,defect:[24,54],defend:23,defens:[16,23,43,56],defer:[51,54,56],defin:[2,3,4,5,6,7,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,35,37,38,39,40,41,42,43,45,50,51,52,56,57,58,61,63,65,66,70,71,73,76],defined:3,definin:34,definit:[2,4,8,10,12,16,23,24,25,26,27,28,30,32,34,37,40,41,42,43,50,52,57,58,61,65,66,71,72,73,74,76],definition:[4,11,16,30,31,34,36,63],degener:[39,56],degrad:53,degre:[5,72],del00:[53,76],delahay:[23,76],delai:[13,16,24,39,63],deleg:[8,16,24,28],delet:[16,51,53,56,65],delete_on_error:16,deliber:[30,54],delic:33,delimit:[8,16,32,34,40,43,58,65,70,74],deliv:16,delpath:[16,23],delphin:76,delta:[10,16,23,31,34,36,54,63],delta_reduct:[54,63],demand:56,demonstr:[23,53,66],dempski:16,denomin:[10,16,36,70],denot:[3,4,10,16,23,25,27,28,29,33,34,38,39,41,42,51,53,56,57,66,70],denum:10,dep:50,dep_ret_typ:45,depart:3,departur:54,depend:[2,3,7,8,9,11,12,13,23,24,25,26,27,28,29,31,33,34,35,36,37,39,41,42,43,50,51,53,54,56,59,61,63,65,70,71,76],deplaix:16,deploi:16,deprec:[4,12,16,24,27,28,31,34,37,40,50,54,57,58,59,63,65,70,71],depth:[3,5,12,16,28,53,56,57,58,59,61,63,70,74],der:16,derek:76,deriv:[3,5,9,12,16,23,24,25,26,29,33,37,39,53,63,65,72],derive_plugin:6,desarzen:16,describ:[2,3,4,6,7,8,10,11,12,13,16,23,26,28,30,31,33,34,35,36,38,39,41,42,45,50,51,52,53,54,56,57,58,63,64,65,66,70,71,74],descript:[16,23,24,26,28,30,37,39,41,45,50,52,56,65,66],design:[2,8,10,16,23,24,36,43,56,63,70,76],desir:[9,10,16,33,51,52,53,56,58,72,74],desktop:16,desmettr:[16,23],despit:[35,56],dest:[4,16],destauto:66,destdir:[16,52],destko:16,destroi:54,destruct:[2,12,16,23,24,53,54,56,57,63,70],destruct_bool_and_rewrit:53,destruct_with_eqn:70,destructor:[24,29,30,36],destructur:[16,23,24,31,39],destructuring_let:[31,45],desugar:36,detach:[16,51],detail:[3,5,7,13,24,26,30,35,36,40,41,50,51,54,56,57,63,65,70,71,73,74],detect:[5,8,16,24,40,43,51,52,56,65],determin:[4,12,16,30,33,35,39,40,42,51,52,53,56,57,63,65,66,70,71,74],determinist:16,dev:[16,23,50,52,70],develop:[2,3,8,11,12,13,16,23,24,26,31,34,41,43,50,51,52,53,54,56,57,58,59,63,65,66,70,73,76],devis:16,devot:[51,56],df:[12,16,59],dfrac:5,di:[53,76],diagnos:13,diagnost:70,diagon:33,diagram:10,dialect:16,dialog:[16,51,64],dialogu:54,did:[8,10,16,25,28,56,57,58,65,66],didn:[3,16,52],diff2:76,diff:[16,23,24,50,52,53],diff_failur:16,differ:[3,4,9,10,12,13,14,16,23,24,25,26,28,30,33,34,36,37,40,42,45,50,51,52,53,54,56,57,58,59,61,63,66,70,71,72,74,76],difficult:[10,28,54,71],difficulti:52,digit:[16,23,26,28,43,50,51,70],dimens:16,dintuit:[16,61,70],dir:[16,50,52,74],direct:[2,9,11,15,16,23,30,33,41,45,51,52,56,57,58,70],directli:[2,3,4,9,12,13,16,23,26,33,42,50,51,52,54,56,57,58,59,63,66,71,74],directori:[2,16,23,26,34,50,51,52,58,59,70,74],dirpath:[34,50,58],disabl:[2,8,9,11,13,16,24,31,33,34,36,43,50,51,53,56,57,58,63,65],disallow:[11,13,16,36,50],disambigu:[16,43,56,70],disappear:[2,16,23,33,54,59,66,70],discard:[13,16,51,53,54,57,63,74],discharg:[3,13,16,23,24,27,37,71],disciplin:[16,23,25],discontinu:16,discourag:[16,28,31,34,52,53,54,57,58,59,65],discours:[16,51],discov:[16,52],discoveri:23,discrep:[16,56],discret:5,discrimin:[12,16,23,53,56,57,58,59,61,63,65,66],discrimine:[11,45],discrr:[23,26],discuss:[3,16,23,24,53],disembodi:41,disequ:[9,59],disj:[16,70],disjoint:26,disjunct:[16,24,33,56,57,58,59,66,70],disk:[50,51,52,65],dismiss:66,dispatch:54,displai:[2,9,11,13,15,16,24,36,40,41,45,50,52,53,54,56,57,59,63,65],dispos:56,disregard:41,distanc:23,distinct:[9,12,16,25,33,41,43,45,52,53,54,56,59,63,70],distinguish:[13,16,23,25,33,36,56,63,70],distr:2,distribut:[10,16,23,24,49,72,74],disus:16,div0:[16,58],div2:[9,16,71],div2_equ:71,div2_ind:71,div2_l:71,div2_obligation_1:9,div2_obligation_2:9,div2_obligation_3:9,div2_obligation_6:9,div3:9,div:[2,3,5,10,16,26,58],div_exact:58,div_mod:16,div_mod_to_equ:[5,16],div_theori:10,div_zdiv:16,diveucl:2,divex:2,divid:[5,14,16,23,57],divide_gcd_iff:16,divide_to_equ:5,divis:[3,10,16,23,24,56],divisor:[7,16],dj:56,dm82:[54,76],dmitri:16,do_depind:66,do_makefil:23,doc:[16,23,50,52,62,70,73,76],doc_grammar:16,docdir:[16,52],docgram:70,docker:16,docroot:[16,52],doctor:23,doctorat:76,document:[3,8,9,10,11,15,16,23,24,26,41,50,51,53,54,56,58,63,64,65,66,70,71,73,75],doczkal:16,doe:[2,3,4,5,8,9,11,12,13,16,23,24,25,26,28,29,33,34,35,36,37,38,40,41,43,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,74],doesn:[4,13,16,26,28,30,34,45,50,51,52,53,54,56,57,58,61,65,66,70,72],doi:76,doligez:23,dom:70,domain:[3,5,10,13,16,23,24,25,33,41,60,63,70],domin:74,dominiqu:16,don:[4,12,13,16,27,33,34,36,45,51,52,53,56,57,59,61,63,65],done:[2,3,5,6,7,8,9,10,12,16,23,26,28,29,31,33,34,35,37,39,41,42,45,51,52,53,54,56,57,58,59,63,65,66,70,71,74],dont:[16,58],dorel:16,dot:[10,13,16,23,34,36,51,58,70],doubl:[16,23,26,28,33,43,51,52,53,56,58,70,74],double_var:16,doublen:56,dowek:23,down:[3,13,23,24,44,50,51,53,54,56,58],download:[16,26,52,76],dozen:63,dp:[2,16],drag:23,dramat:63,draw:23,drawback:[9,16,66,70],dreyer:76,drive:63,driven:[23,59],driver:5,drop:[3,16,50,53,58,70],dstroot:16,dt:59,dtauto:[16,61],dual:[3,9,23,54],dualli:[3,43,56],dudenhefn:16,due:[2,3,12,13,16,23,26,29,33,45,51,53,54,58,63,65,66,70,71,72],dummi:[2,13,16,23,54,76],dummy_ind:13,dummy_rec:13,dummy_rect:13,dummy_sind:13,dump:[5,16,23,50,74],dumpbox:16,dumpgraph:16,dune:[16,24,50,58],dup:[16,56],duplic:[3,10,16,42,56,66,70],duprat:23,durat:50,dure:[2,9,10,12,13,16,23,36,41,45,50,52,53,54,56,57,59,63,65,66,70,71],duti:54,dvdn1:56,dvdn_mull:56,dvdn_mulr:56,dvdn_subr:56,dvdn_tran:56,dvi:74,dx:76,dyc92:[53,61,76],dyckhoff:[23,53,61,76],dynam:[2,10,12,16,24,35,50,58,70],dynlink:[16,58],e0:[41,45,71],e1:[16,41,45,56],e2:[16,41,45],e:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],e_1:[5,34],e_2:[5,34],e_:[16,34],e_i:34,e_n:34,e_type_of:16,ea:12,each:[2,3,5,8,9,10,12,13,16,23,25,26,28,29,33,34,35,36,37,38,39,41,42,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,71,74],eager:16,eagerli:54,eappli:[16,53,57,59,65,66],earli:[2,14,24,25,53,63],earlier:[8,16,52,53],eas:[12,16,36,52,54,56,57,65],easi:[7,10,12,16,26,45,51,52,59,66],easier:[2,16,23,44,51,56,57,66,70],easiest:52,easili:[12,16,52,56,71],eassert:[16,42,57],eassumpt:[16,42,57,59],eauto:[16,24,42,53,56,59],eb:12,ecas:[16,42,57,66],echo:52,econom:[23,76],econstructor:[16,42,66],ecosystem:[24,72,76],ed:[16,23],edestruct:[16,42,57,66],edg:[16,51],edinburgh:23,ediscrimin:[16,42,66],edit:[16,23,24,28,50,52,56,65,70],editor:[16,51,52,76],eduardo:23,edward:16,eelco:76,eeli:16,eelim:[16,42,66],eenough:[16,42,57],eexact:[16,42,57],eexist:[16,42,65,66],effect:[2,9,10,12,13,16,23,24,28,29,33,34,37,42,50,51,52,53,56,58,63,65,70,74],effici:[2,10,11,12,16,24,28,35,56,59,63,76],effort:[12,16,23,62,73],eg:[16,52],ei:56,eight:33,einduct:[16,42,57,66],einject:[16,42,66],eintro:[42,57],either:[2,5,8,10,13,16,25,27,28,30,33,34,35,36,38,39,40,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,73,74],ej:56,el:76,elabor:[12,13,16,24,26,32,36,40,43,44,50,54,57],elaps:53,elast:23,elect:[24,49],electron:[23,76],eleft:[16,42,66],eleg:[2,54,58],elegantli:57,element:[2,3,10,11,16,24,25,26,33,34,35,45,56,58,59,70],elementari:[24,26,56,57,70],elements1:70,elements2:70,elid:56,elim:[5,16,23,24,53,57,66],elim_let:16,elimin:[11,12,13,16,23,24,25,26,29,30,33,34,36,39,53,54,57,66,70,71,76],elimtyp:16,elpi:[16,62],elrod:16,els:[2,4,9,10,11,12,16,28,29,34,36,39,40,45,51,53,54,56,61,66,70,74],elsevi:76,elsewher:[9,16,51,58,70],elt:5,elt_eq_unit:16,emac:[16,50,51,58,65],email:51,emb:[16,23,70],embed:[23,24,28,70],emerg:23,emilio:16,emit:[2,11,12,16,33,52,70,73],emmanuel:23,emp:59,emphas:45,emphasi:24,emploi:[16,41],empti:[2,3,5,7,11,12,16,23,25,33,39,42,50,52,54,56,57,58,59,66,70,71],empty_context:16,empty_neutr:3,empty_set:[16,39,61,70],emptyf:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],emul:[2,11,16,39,56],en:[23,56,63,76],enabl:[4,7,8,9,10,11,13,16,24,33,36,41,50,51,52,53,56,57,58,59,66,74],enable_notation_flag:70,encapsul:56,enclos:[2,28,40,52,53,54,65,70,74],encod:[3,12,16,23,24,26,33,52,70,74],encount:[2,10,16,51,52,53,63],encourag:[16,45,52,53,54],end:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],enforc:[9,11,13,16,25,31,33,43,54,56,57,65,70],engin:[12,16,23,32,42,54,56,57,63,76],english:16,enhanc:[2,16,51,56],enjoi:[30,33,36,56],enough:[10,13,16,33,43,56,57,66,70],enrich:[5,16,23,25,26,66],enrico:[8,16,41,56,76],ensur:[2,12,13,16,23,26,29,33,38,51,54,58,63,71],ensuremath:74,enter:[8,16,24,29,31,33,37,43,45,51,53,54,58,59,70],entier:16,entir:[12,16,23,24,30,32,33,40,43,51,52,56,59,63,65,70],entri:[16,23,24,27,28,36,50,51,52,53,54,66],enumer:[5,16,33,39],enviro:[16,58],environ:[3,8,9,10,11,12,13,16,23,24,25,27,29,30,31,33,34,37,41,42,51,52,54,56,59,61,63,65,66,70,71,74],envr:5,ep:59,epos:[16,42,57],epsilon:[16,59],epsilon_smallest:16,eq0:3,eq0_le0:43,eq:[3,5,10,13,16,26,34,39,41,53,56,57,58,63,66,70],eq_:26,eq_add_:26,eq_adda_b:56,eq_adda_c:56,eq_big:[16,56],eq_big_:56,eq_bigr:56,eq_bigr_:56,eq_bool:12,eq_class:41,eq_dec:16,eq_ex2:16,eq_ex2_hprop:16,eq_ex2_uncurri:16,eq_ex:16,eq_ex_hprop:16,eq_ex_intro2:16,eq_ex_intro2_hprop:16,eq_ex_intro2_uncurri:16,eq_ex_intro:16,eq_ex_intro_hprop:16,eq_ex_intro_uncurri:16,eq_ex_uncurri:16,eq_ind:[13,26,39],eq_ind_r:[10,26],eq_izr_contraposit:16,eq_map:56,eq_nat:[23,41],eq_nat_dec:16,eq_nat_equiv:41,eq_pattern:16,eq_rec:[13,26,33,39],eq_rec_r:26,eq_rect:[13,16,26,33,39,66],eq_rect_r:[16,26],eq_refl:[5,9,10,11,12,13,16,26,39,56,63,65,66,70],eq_reflex:58,eq_rel:3,eq_rel_reflex:3,eq_rel_rel:3,eq_rel_symmetr:3,eq_rel_transit:3,eq_set:3,eq_set_refl:3,eq_set_rel:3,eq_set_rel_reflex:3,eq_set_rel_rel:3,eq_set_rel_symmetr:3,eq_set_rel_transit:3,eq_set_sym:3,eq_set_tran:3,eq_sig:[16,66],eq_sigt_rect:16,eq_sind:[13,26,39],eq_sym:[26,39,43],eq_symmetr:58,eq_tran:[26,58],eq_trans_assoc:58,eq_tru:16,eq_true_is_tru:11,eqa:[3,12],eqab:56,eqac:56,eqb0:56,eqb:[3,5,12,16,26,35,58],eqb_correct:35,eqb_leibniz:12,eqb_sym:58,eqba:56,eqblr:16,eqbrl:16,eqca:56,eqd0:56,eqdec:[12,37,59],eqdec_def:12,eqdep:16,eqdep_dec:[16,66],eqlista:16,eqn:[16,39,54,56,57,66,70],eqn_mul1:56,eqnarrai:33,eqnat:[16,25,41],eqnot:16,eqo:3,eqp:56,eqst:29,eqst_hd:29,eqst_tl:29,eqt:[16,45],eqt_ind:45,eqt_rec:45,eqt_rect:45,eqt_sind:45,equal:[3,5,8,10,11,12,13,16,23,24,25,29,30,31,33,34,35,38,39,41,43,45,51,53,54,56,57,59,60,64,70,71,76],equalitiesfact:16,equality_intropattern:57,equat:[5,6,13,16,23,24,26,33,39,41,45,52,54,57,59,60,63,66,71],equations_plugin:52,equiconsist:33,equip:[3,4,16,23,26,35,41,63],equiv:[5,33,38],equival:[3,9,10,11,12,13,16,23,24,25,26,27,28,31,33,34,36,37,40,41,45,50,51,52,53,54,58,59,61,63,65,66,70,74],equivalence_class:63,equivalence_reflex:[3,58],equivalence_symmetr:[3,58],equivalence_transit:3,equivlista:16,eras:[16,43,56,57,66,74],erasur:[57,66],erbsen:16,erememb:[16,42,57],erewrit:[16,42,63],ergo:16,eright:[16,42,66],erik:16,erika:16,err:[41,54],erron:16,error:[2,3,4,9,10,11,12,13,15,16,23,24,26,27,28,31,33,34,36,37,38,39,40,41,43,45,50,51,52,56,57,58,59,61,63,65,66,70,71,74],esc:16,escap:[11,16,24,50,52,70],eset:[16,42,57],eshkeev:16,esimplifi:66,esimplify_eq:[16,42],especi:[7,14,16,23,25,33,43,45,53,54,56,59,61,63,70],esplit:[16,42,66],essai:76,essenti:[2,16,24,33,54,56,66,70],establish:[3,16,56],estim:73,et:[3,23,76],eta:[12,16,30,36],etc:[2,4,9,13,16,23,24,25,26,32,34,41,43,44,50,51,52,53,54,56,58,70,74],etcdir:16,eth:16,ethan:16,etransit:[3,16,42,63],eucl_dev:2,euclid:[2,16,23],euclid_intro:16,euclid_rec:16,euclidean:[10,16,23,24,56],euclidean_division_equations_cleanup:[5,16],euclidean_division_equations_find_duplicate_quoti:5,euclidean_division_equations_flag:16,eugen:76,european:[23,76],ev:57,eval:[3,5,11,13,16,23,24,26,28,29,30,31,34,36,41,51,52,54,58],eval_bf:5,eval_earli:53,evalu:[2,3,9,10,16,23,24,27,29,33,34,40,52,56,59,63,70],evar:[16,23,53,54,56,57,58,63],evarconv:16,evarmap:16,even:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],even_0:33,even_:33,even_alt:16,even_alt_even:16,even_ind:[33,66],even_o:33,even_odd:66,even_odd_ind:16,even_sind:[33,66],even_ss:33,eveno:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],event:[2,16,50],event_oddt_dec:16,event_oddt_rect:16,eventu:[5,16,33,41,42,51,53,54,56,57,59,65],ever:[16,51,54,56,66,70],everi:[3,8,9,10,11,12,13,16,27,28,33,39,50,51,53,54,56,57,63,70],everybodi:16,everyth:[2,16,51,52],everywher:[2,16,54,57,63],evgeni:[5,16],evgenii:16,evolut:[16,76],evolv:[16,23,36,51,53],ex1:54,ex2:[16,23,26,54,66],ex2_ind:26,ex2_sind:26,ex:[3,16,23,26,43,57,66,70],ex_ind:26,ex_intro2:26,ex_intro:[26,36,40,56,59,65],ex_sind:26,exact:[3,11,13,16,23,24,34,39,42,52,53,54,57,58,59,63,65,66,70],exact_no_check:[57,65],exactli:[4,8,10,12,16,25,26,33,39,41,43,45,50,51,53,54,56,58,65,66,70],exactly_onc:24,examin:[45,51,53,65,66,70],exampl:[7,8,9,12,23,24,31,35,44],example_lra:5,example_map:56,exc:[23,26],exce:[58,66],excel:16,except:[2,3,4,10,11,12,13,16,23,24,25,26,28,30,33,34,35,37,39,42,50,51,52,53,56,57,58,59,63,65,66,70,74],exception:[16,23,63],excerpt:35,excess:23,exchang:[23,51,65],exclud:[16,33,40,50,52,53,54,56,58],exclus:[28,56],execut:[6,8,16,23,24,28,35,50,51,54,56,58,63,65,66,70],exempl:23,exfalso:[16,57],exhaust:[16,28,45,52,53,54,58],exhibit:5,exist2:26,exist:[3,4,5,9,10,12,13,16,24,25,26,27,28,30,31,33,35,36,38,40,41,45,50,51,52,53,54,56,57,58,59,62,63,65,66,70],existenti:[3,6,9,12,16,23,24,25,33,40,44,53,57,58,59,63,65,66],exists2:[16,26,28,56],exists_app:16,exists_concat:16,exists_differ:70,exists_flat_map:16,exists_fold_right:16,exists_foral:16,exists_map:16,exists_non_nul:70,exists_nth:16,exists_or:16,exists_or_inv:16,exists_rev:16,existt2:26,existt:[16,26,66,70],exit:[8,16,24,29,31,33,37,50,51,53,58,59,74],exn:54,exp:56,exp_ineq1:16,exp_ineq1_l:16,exp_intro:33,expand:[2,12,13,16,27,28,29,30,34,36,40,45,51,53,54,56,57,63,66,70],expans:[11,12,16,24,33,52,54,56,63,70],expect:[2,3,4,10,11,13,16,23,25,28,30,31,32,33,39,40,41,42,43,45,50,51,53,54,56,57,59,63,66,70],expens:[12,16,53,65],experi:[16,23,50,76],experienc:65,experiment:[5,11,13,16,23,50,52,53,54,61,62,65,66,70,71],expert:52,expir:23,explain:[8,16,23,28,41,50,51,56,59,70,71,73],explan:[3,12,36,44,50,57,58,66],explicit:[9,12,16,23,24,27,33,36,38,40,45,54,57,59,63,65,66,70],explicit_id:70,explicit_subentri:70,explicitli:[2,4,11,12,13,16,23,26,27,28,33,37,38,42,45,50,51,52,54,56,57,58,59,63,65,66,70,73],exploit:[3,16,23,56,66],explor:[5,16,58],explos:16,expn:56,expon:[10,16,28,70],exponenti:[5,16,28],expos:[16,24,39,40,56,70],exposit:16,expr1:53,expr:[16,53,54,70],expr_0:16,expr_1:16,expr_i:16,expr_ind:70,expr_n:16,expr_rec:70,expr_rect:70,expr_sind:70,express:[3,4,5,9,10,16,23,24,25,26,27,28,29,30,31,33,34,38,39,40,42,43,56,57,58,59,63,65,66,74],exprop:33,exprop_ind:33,exprop_sind:33,expung:23,exs_intro:33,exset:[25,33],ext2:[16,23],ext4:50,ext:[16,23,33],ext_intro:33,extend:[3,4,5,9,10,13,16,23,24,25,26,27,28,31,33,34,36,39,40,41,44,50,51,52,54,58,59,61,70,76],extens:[6,9,10,11,13,16,24,25,28,31,40,41,51,52,58,61,62],extension:[11,16,26,29,56],extent:[16,70],extern:[5,10,12,16,28,32,51,53,54,58,59,62,65,72,73,74],extgcd:16,extocamlnativestr:16,extra:[8,16,23,24,29,33,40,41,45,52,53,56,61,63,65,70,74],extra_scop:16,extract:[9,24,25,26,28,33,35,52,56,58,70,71,72,76],extraction2002:76,extraction_plugin:[2,9,33,56,71],extractor:[16,23],extran:[16,51],extrem:[16,28,56],extrhaskellbas:16,extrhaskellstr:16,extrocaml:16,extrocamlbigintconv:16,extrocamlfloat:35,extrocamlint63:[16,35],extrocamlintconv:2,extrocamlnatbigint:16,extrocamlnativestr:16,extrocamlparrai:35,extrocamlstr:16,extrocamlzbigint:16,extyp:33,extype_ind:33,extype_rec:33,extype_rect:33,extype_sind:33,f0:[33,56,66],f10:51,f11:51,f1:[12,16,40,50,51,56,70],f2:[16,40,50,54,56],f4:51,f8:51,f9:51,f:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],f_1:[10,33],f_1_neq_0:10,f_2:[10,33],f_:23,f_equal2:26,f_equal2_plu:58,f_equal3:26,f_equal4:26,f_equal5:26,f_equal:[16,26],f_equalx:16,f_ext:26,f_i:33,f_ind:57,f_inj:33,f_j:33,f_k:33,f_l:33,f_n:33,f_r:10,f_rec:57,f_rect:57,f_scope:70,f_sind:57,fabian:16,face:[3,16,74],facil:[12,16,23,51,54,56,58],facilit:[16,50,56],fact:[2,5,10,13,16,23,27,31,33,38,40,41,45,53,54,56,57,61,63,65,66,70,74],factor:[2,5,10,16,24,33,44],factori:[16,23,53,54,63],factoriz:[16,45],fail:[2,3,4,5,8,9,11,12,13,16,23,24,25,28,29,33,34,39,40,41,42,43,51,52,54,57,58,59,61,63,65,66,70,71,74],failur:[3,8,12,13,16,23,24,45,52,54,56,58,59,61,63,70,76],fairli:[16,56],faithful:16,faithfulli:12,fake:59,fall:[3,9,12,23,52,57],fals:[2,4,5,9,11,12,16,23,26,33,36,39,40,42,45,50,53,54,56,57,58,61,63,65,66,70],false_rec:26,false_rect:45,falsiti:53,falso:[16,57],famili:[4,13,16,23,24,33,39,53,54,62,66,70],faq:16,far:[10,23,45,51,56,65,70],farka:16,farzon:16,fashion:[16,23,50],fast:[3,16,23,24,52],fast_:16,fast_integ:16,faster:[8,10,16,23,50,57,58,61,63],fastest:52,fatal:[16,24,56],fault:[2,23,70],favor:[16,40,50],fcomp:40,fct:4,fct_of_incr_fct:4,fd:33,fdiv_def:10,fear:32,featur:[2,3,8,10,16,23,24,28,31,32,34,35,43,45,50,51,52,54,56,58,65,70,71,72,73,75],feb:23,februari:[16,23],fed:[9,16,54],feed:59,feedback:[8,16],feel:51,feferman:23,fehrl:16,fei:76,felti:23,feq:26,fermat:51,fernandez:16,fernando:16,fetch:65,few:[3,16,23,26,28,33,34,35,36,50,51,52,54,56,57,70,72,74],fewer:[16,50,57,63,65],ff:5,ffi:[16,54],fg:4,fgt:26,fi:12,field:[4,5,7,11,12,13,16,23,24,26,41,50,52,54,58,60],field_mod:10,field_simplifi:16,field_simplify_eq:16,field_spec:36,field_theori:10,field_val:[12,36],fieldnam:36,fifth:16,figur:[51,56],file1:[51,52],file2:[51,52],file:[2,3,5,6,7,8,9,10,16,23,24,26,28,33,34,35,40,41,42,53,54,56,57,59,63,65,70,71,72,75],filen:51,filenam:[13,16,24,50,51,58,63,74],filesystem:[52,58],fill:[2,9,12,16,24,51,54,56,61,70],filliatr:[23,76],filter:[16,29,50,52,58,59],filter_2_4:45,filter_app:16,filter_length:16,filter_length_forallb:16,filter_length_l:16,filter_some_square_corn:45,filtered_import:[16,34,58],filteropt:50,fin:[16,70],fin_scop:70,find:[2,3,4,5,7,10,13,15,16,24,26,28,33,41,42,50,51,52,53,56,57,58,61,63,65,66,70,71,76],find_duplicate_quoti:16,findlib:[16,52,58],fine:[16,40,50,51,56,63],finer:[2,16,33,56],finfun:16,finish:[8,12,16,28,45,53,59,63,65,66],finish_tim:[16,53],finit:[3,5,16,23,26,29,33],finite_alt:16,finite_dec:16,finv_l:10,fire:[2,13,16],firefox:51,first:[2,4,5,6,8,9,10,12,13,14,16,23,24,25,26,34,36,37,39,40,41,42,43,50,51,52,54,57,58,59,61,63,64,65,66,70,71,73,74,76],first_lett:28,firstn:16,firstord:[16,28,61],fit:[13,16,28,33,51,54,56,70],five:[16,26,63],fix:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],fix_decl:[33,56],fix_definit:[33,37,71],fix_eq:[16,26],fix_f:26,fix_f_eq:26,fix_f_inv:[16,26],fixabl:16,fixannot:[9,33,71],fixpoint:[2,3,12,16,23,24,26,28,29,30,31,36,37,40,43,45,51,56,58,63,65,66,70,71],fk:56,flag:[2,4,5,8,9,11,12,13,15,23,24,26,31,33,34,36,39,40,42,43,45,50,51,52,53,54,56,57,59,61,63,65,66,70],flagship:24,flambda:16,flat_map:[16,23,26],flat_map_app:16,flat_map_constant_length:16,flat_map_ext:16,flat_map_length:16,flatten:16,flavor:[16,36,70],fledg:16,flexibl:[13,16,57,63],flh:5,flip:[3,16],float64:35,float64_mul:35,float64_typ:35,float_class:26,float_comparison:26,float_scop:[26,35],floataxiom:16,floatlemma:16,floatop:[16,35],flocq:26,floor:16,florent:16,florin:16,flow:24,flt:26,fly:[16,54,56],fm:12,fmap:[16,59],fmapavl:16,fmapfullavl:16,fmapintmap:16,fn:50,fnotcompar:26,fo:2,focu:[16,23,33,42,53,54,56,65],focus:[6,16,24,42,54,56,57,58],fof:13,fold:[3,16,36,56],fold_left:[16,26],fold_left_rev_right:16,fold_right:[16,26],fold_right_shiftin:16,foldabl:16,folder:[16,52],follow:[2,3,4,5,6,8,9,10,11,12,13,16,23,24,25,26,27,28,29,32,33,34,35,36,37,39,40,41,42,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],fondamental:76,font:[16,51,52,74],foo0:[52,54],foo1:52,foo:[2,10,13,16,28,34,37,39,42,50,51,52,54,56,57,58,63,65,70,73,74],foo_ind:[11,16,56],foo_rec:16,foo_rect:16,foo_sind:11,foo_subproof:37,foobar:13,foolib:16,footnot:[10,56,70],footprint:16,fop:5,for_all2:16,for_each_go:[53,54,70],foral:[2,3,4,5,6,7,9,10,11,12,13,16,24,25,26,28,29,30,31,33,35,36,40,41,42,43,45,51,53,54,56,57,58,59,61,63,65,66,70,71,74],forall2:16,forall2_append:16,forall2_cons_iff:16,forall2_flip:16,forall2_impl:16,forall2_length:16,forall2_nil:16,forall2_nth:16,forall2_nth_ord:16,forall2_refl:16,forall_and:16,forall_and_inv:16,forall_app:16,forall_append:16,forall_concat:16,forall_cons_iff:16,forall_elt:16,forall_eq_repeat:16,forall_exists_exists_forall2:16,forall_flat_map:16,forall_fold_right:16,forall_foral:16,forall_imag:16,forall_impl:16,forall_map:16,forall_nil_iff:16,forall_nth:16,forall_nth_ord:16,forall_rev:16,forall_shiftin:16,forallb_filt:16,forallb_filter_id:16,forbid:39,forbidden:[11,16,23,24],forc:[4,8,10,16,23,33,41,43,51,52,53,56,59,63,65,66,70],force2:70,ford:16,foreground:65,forese:23,forest:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],forest_ind:[33,66,71],forest_rec:[33,66,71],forest_rect:[33,66,71],forest_s:[33,71],forest_sind:[33,66,71],forest_size_equ:71,forest_size_ind2:71,forest_size_ind:71,forest_size_rec:71,forest_size_rect:71,forest_tree_ind:66,forest_tree_rec:66,forest_tree_rect:66,forg:50,forget:[4,10,36,54,58,59,66],forgot:[31,70],forgotten:4,fork:16,form:[2,3,4,5,6,7,9,10,12,16,23,24,25,26,27,28,29,30,31,34,36,37,38,39,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,74],formal:[4,6,16,23,24,25,28,30,31,33,36,38,40,50,54,56,66,76],formalis:[23,56,76],format:[13,16,23,25,26,34,36,41,50,51,52,56,70,74],formatt:58,formel:23,former:[16,28,29,56,74],formerli:16,formul:[16,41],formula:[5,7,25,56,57,61,76],forster:16,forth:[24,49,56],forthcom:16,forum:16,forward:[16,23,51,52,56,61,65],found:[2,4,5,9,10,12,16,24,28,29,33,34,35,38,41,45,50,53,54,56,57,58,61,63,66,70,71,74],foundat:[16,23,28,53,56,76],founded:23,founifi:2,four:[8,16,24,33,53,54,56,70],fourier:[16,23],fourth:[16,53,56],fr:[16,23,24,26,52,74,76],frac:[16,25,30,33,34,37],fraction:[7,10,16,23,26,28,36,56,70],fragil:[16,54,56,58,59,62,65],fragment:[54,56,70],frame:[16,51],framework:[2,16,23],franc:[23,76],francoi:16,frank:76,free:[10,16,23,25,33,43,51,53,54,56,57,61,63,70,74,76],freedom:16,freek:23,freeli:[13,56],freez:12,frege:23,freiburg:76,french:16,frequenc:16,frequent:[10,16,24,52,56,65,66,70],fresh:[3,13,16,23,24,30,33,52,56,57,63,65,66,70],freshid:16,freshnamespac:39,freund:23,frexp:16,frexp_spec:16,frh:5,friendli:[16,23,51],frii:16,fring:16,from:[2,3,4,5,6,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,33,35,36,37,38,39,40,41,42,45,50,51,52,53,56,57,58,59,61,63,65,66,70,71,72,74,76],front:[56,58],frozen:23,frshiftexp:26,fs:[2,70],fset:[16,26,59],fsetavl:16,fsetdecid:16,fsetfullavl:16,fsetinterfac:16,fsetproperti:16,fst:[16,23,26,34,41,45,70],fta:23,ftorradix:8,ftp:76,fubar:56,fulfil:[2,16,66],full:[12,13,16,23,24,29,33,42,45,51,56,57,63,65,70,76],fuller:23,fullfil:16,fullgrammar:70,fulli:[2,3,8,16,23,25,27,30,31,34,43,50,51,52,53,54,57,58,63,65,70,71],fun:[2,3,4,5,6,9,10,11,12,13,16,24,25,26,28,29,30,31,33,34,36,37,39,40,41,42,43,45,53,54,56,57,58,63,65,66,70,71,74],fun_scop:16,funapp:70,func_scheme_def:71,funclass:[4,16,40,70],functin:16,function_scop:[13,16,24,33,45,56,66],functions_in_zfc:23,functor:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],functor_app_annot:34,functori:16,fund:16,fundament:[16,23,30,56],funext_down:13,funext_typ:13,funind:[16,56,58,71],funind_plugin:[56,71],further:[3,8,16,26,29,34,40,50,51,53,54,56,63,65,66,70],furthermor:[16,23,24,25,28,30,32,33,50,51,54,56,65],futur:[4,9,12,13,16,31,40,50,51,52,56,61,65,70,76],fuzz:16,fv:10,g0:[59,66],g1:59,g2:59,g:[3,4,5,8,9,12,13,16,23,26,27,28,29,30,33,34,35,40,42,43,45,51,52,53,54,56,57,58,59,61,63,65,66,70,74,76],g_1:56,g_:56,g_equat:52,g_i:33,g_n:56,ga:76,gabriel:16,gadt:2,gain:[16,23],gallego:16,gallina:[10,16,24,26,40,65,74],gamma:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],gan:16,gap:56,gappa:16,garbag:[16,74],gariano:16,garillot:16,garrigu:16,gather:[16,23,26,54,56,57],gave:[16,23,57],gc:[16,65],gcd:[16,58],gcd_comm:58,gcd_mul_diag_l:16,gcd_uniqu:16,gcd_unique_alt:16,gcst19:[11,38,76],gdk_use_xft:51,ge:[5,16,26],gear:[8,51],geb:5,geb_g:16,gen:56,gen_constant_modul:16,gen_item:56,gen_x:66,genarg:51,gener:[5,7,8,9,11,12,15,16,23,24,26,27,29,30,31,33,34,35,36,37,38,39,42,45,50,51,52,57,58,59,60,61,63,65,74,76],generalis:56,generaliz:[12,16,43],generalize_eq:66,generalize_eqs_var:66,generalizing_bind:[27,43],generer:16,genericminmax:16,geometri:[7,23],geoproof:16,georg:[16,56,76],georgian:28,germani:76,get:[2,5,8,9,10,12,13,16,23,24,27,28,33,35,37,41,50,51,52,54,57,58,59,63,65,66],get_current_context:16,get_set_oth:35,get_set_sam:35,get_sign:10,gett:36,getter:16,geuver:23,gexpn0:56,gexpn1:56,gexpn_add:56,gfail:[16,53,59],ghc:16,giana:16,gianfranco:76,giarrusso:16,gift:[23,76],gilbert:[16,76],gill:[23,71],gimenez94:[33,76],gimenez95:[29,76],gimenez98:[29,76],gimenezcasteran05:[29,76],gintuit:61,giovini:76,girard:[23,76],gist:16,git:52,github:[2,5,16,50,51],gitter:16,give:[2,3,4,5,7,8,9,10,12,13,16,23,24,25,26,27,28,30,31,33,34,36,39,40,41,44,45,50,51,52,53,54,56,57,58,63,65,66,70,74],give_up:16,given:[2,3,4,5,9,10,12,13,16,23,24,26,27,28,31,34,36,39,40,41,42,43,45,50,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],glanc:56,glob:[16,23,50,74],glob_constr:54,glob_term:16,global:[2,3,4,8,9,12,16,23,24,25,27,28,30,31,33,34,36,37,38,40,41,43,50,52,54,56,57,58,59,61,63,65,66,74],globalis:23,globfil:52,glondu:16,gloss:36,glossari:[15,16,24,28],glt89:[65,76],glu:3,gmatch_hyp_pattern:54,gmatch_pattern:54,gmatch_rul:54,gmn:[7,76],gmp:16,gnu:[16,50,52],go:[2,5,8,9,16,23,29,41,51,53,54,56,58,59,63,66,70,74],goal0:[42,57,65],goal:[3,6,7,8,9,11,12,13,16,23,24,26,28,30,33,34,35,36,37,41,42,43,51,52,58,59,60,61,63,70,71,73],goal_match_list:54,goal_occurr:57,goal_pattern:53,goal_tact:53,goe:[16,52,54,58,65],goir:76,gone:16,gonthier:[16,56,76],good:[8,10,16,52,53,54,56,65],googl:[50,52],got:[16,33,66],gothenburg:76,gothic:28,gotten:51,goubault:23,govern:[16,40,43,51,66],gr:76,grab:16,gradual:[16,57],grai:[28,51],grain:[2,16,40],grammar:[16,24,27,28,53,54,56,57,61,70],grant:16,granular:[51,54],graph:[2,13,16,23,24,38,53,71],graphic:[16,24,28,50,51],graphviz:[13,16],grasp:56,grate:16,grayson:16,great:[30,63],greater:[13,16,23,33,51,70],greatli:[16,23],greek:[16,28,74],green:[16,28,51,65],greg:16,gregersen:16,gregoirel02:[63,76],gregori:16,grep:58,grinberg:16,groebner:16,groot:76,gross:16,ground:[13,16,53,61,70,74],group:[2,4,16,23,36,41,51,52,53,56,57],grow:[23,53,54,58],growth:54,gruetter:16,gruin:16,grundlagen:23,gt:[16,26,41],gt_wf_rec:2,gt_wf_rect:16,gtb:5,gtb_gt:16,gtk2:16,gtk3:16,gtk:[16,51],gtk_accel_path:51,gtk_csd:16,gtk_theme:51,gtksourceview:[16,51],guarante:[4,13,16,50,51,52,54],guard:[16,23,24,26,29,31,33,40,43,45,56,58,63,65,66,70,71,76],guarded:[9,65],guess:[2,4,10,16,31,42,52,56,66],gui:[23,51,75],guid:23,guidelin:16,guillaum:16,gulp:65,gv:[13,16],gwhy:16,gyesik:76,gz:[50,52],gzip:52,gznd11:[41,76],h0:[53,54,56,57,61,63,65,66],h1:[10,16,33,42,53,54,56,57,61,65,66],h23:56,h2:[16,33,42,53,54,56,57,66],h2_0:66,h2_:66,h3:[57,66],h:[3,4,6,9,10,11,12,13,16,23,26,33,39,43,45,50,53,54,56,57,61,63,65,66,71,74,76],ha:[2,3,4,5,6,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71,72,73],haan:16,had:[9,12,16,23,41,52,53,54,65],hal:76,half:[16,23,36,65],hallberg:16,hand:[3,11,12,16,24,26,28,32,34,51,52,53,54,56,57,63,66,70,71],handi:[16,70],handl:[2,3,8,9,10,16,23,25,36,42,45,52,54,56,57,58,60,61,65,66,70],hangul:28,hao:16,happen:[2,4,9,12,16,33,37,45,51,53,54,56,57,63,70,71],hard:[16,54,58,63],hardcod:16,harder:[4,16,57],hardwar:[2,8,23],harm:33,harmless:[33,50],harrison:5,harsh:16,harvei:16,has_evar:16,hash:16,haskel:[2,9,12,16,23,24,56,63,76],hasn:34,have:[2,3,4,5,7,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,32,33,34,35,36,38,39,40,41,42,43,45,50,51,52,54,57,58,59,61,63,65,66,70,72,74],haven:[51,53,54],hayashi:23,hb:[56,57],hd:[16,29,33,56,71],he:[10,16,23,56],head:[3,12,13,16,23,25,26,29,34,40,41,43,52,53,54,56,57,58,59,63,66,70],headconcl:[16,58],header:[16,50,74],headhyp:[16,58],heap:[16,53,65],heap_word:65,heapsort:[16,23,26],heart:32,heavi:[2,8],heavili:16,hebb:16,hebrew:[16,28],heel:54,heidelberg:76,heiko:16,held:23,helg:16,helm:[16,23],help:[2,3,8,12,13,14,15,16,23,24,26,28,40,45,50,51,52,53,54,56,57,59,61,66,74],helper:[24,58],henc:[2,3,4,5,8,9,12,13,16,25,33,36,41,50,52,53,56,57,63,66,70],hendrik:16,henk:23,henri:[16,23],heq:[16,53,66],heq_n0:9,heq_n:9,heql:66,heqp:66,her:23,herbelin:[16,23,45],here:[2,3,4,5,9,10,12,13,15,16,23,26,28,30,32,33,34,36,37,40,41,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,74],hereaft:[25,29,54,56],herm:16,herman:23,heterogen:[16,66],heurist:[2,5,13,16,54,56,57,65],hex:16,hex_n_scop:16,hex_positive_scop:16,hex_z_scop:16,hexa:70,hexadecim:[16,26,28,35,51,58],hexdigit:28,hexnat:28,hf:[33,50],hfg:56,hget_evar:16,hi:[16,23,33],hidden:[16,23,24,26,52,56,70,74],hidden_arrow:11,hide:[16,24,33,37,43,56,57,65,70],hierarch:[23,34],hierarchi:[8,13,16,23,24,33,38,50],high:[13,16,23,24,34,58,59,65,71],higher:[3,8,13,16,23,26,39,50,53,56,57,58,59,63,66,70,72,76],highest:70,highli:[42,59,62],highlight:[16,50,51,52,56,62,65],higman:2,hijack:16,hilbert:[5,7,16],hinder:16,hindlei:[54,76],hindranc:53,hint:[3,12,13,16,23,24,26,34,37,53,61,63,74],hint_info:[12,59],hintbas:[54,59],hintdb:[12,16,54,59],hints_regexp:59,hiragana:28,histor:[16,24,43,54],histori:[16,24,25,52,58,65],hivert:16,hl:66,hloc:57,hlt:26,hn:65,hnat:43,hnf:[16,23,40,41,56,57,63,66],hnm:56,ho:[16,28,57],hoc:[2,3,16,70,76],hoist:16,hol:5,hold:[3,4,16,29,33,34,39,41,54,57,74],hole:[9,12,16,23,39,42,45,54,56,57,58,61,65,66,70],holland:76,home:[50,51,52],homebrew:16,homogen:[3,16],homotopi:16,honor:[2,16,50,56,70],honour:56,hood:[5,16],hook:[16,52],hope:[23,51],hopefulli:[16,54],horizont:[16,28,52,70,74],horror:24,host:16,hott:[16,39],how80:[25,65,76],how:[2,7,8,12,16,23,24,26,28,29,33,34,36,41,42,44,50,52,53,56,57,58,59,61,63,66,70,71,73,76],howard:[23,25,65,76],howev:[3,4,5,9,11,12,13,16,23,26,28,33,35,36,40,42,43,45,50,51,52,53,54,56,57,63,65,66,70,71],hp:[56,66],hpa:56,hpb:56,hq:[56,66],hqa:56,hqab:56,hrec:56,hresolve_cor:16,hspace:[25,30,33,34,37],html:[16,24,28,52],http:[2,5,16,23,24,26,49,50,51,52,58,63,74,76],hue88:[23,76],hue89:[23,65,76],huet:[23,76],hug:16,huge:[8,10,16,54,56,65],hugo:[16,23,45],hugunin:16,human:[16,24,57,74],hundr:[10,63],hur:16,hv:70,hx:[11,56,57],hy:57,hybrid:16,hyp0:56,hyp:[16,23,54,58,65,70],hyp_occ:57,hyperlink:[16,24,28],hypertextu:23,hypid:57,hypothes:[3,5,9,12,16,23,24,27,31,33,50,56,59,61,63,66,70],hypothesi:[3,9,10,16,23,24,26,27,28,33,37,54,56,58,59,61,63,65,66,70,71,74],hz:53,i1:[33,70],i2:70,i:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],i_1:[7,10,33,34],i_2:[10,56],i_:[3,33,56],i_block:56,i_i:34,i_ind:[45,70],i_item:56,i_j:[33,34],i_k:[7,33,34],i_l:33,i_n:[10,56],i_not_i:33,i_p:33,i_pattern:56,i_rec:[45,70],i_rect:[45,70],i_sind:[45,70],i_view:56,ia:16,icfp:76,icon:[16,51],id0:13,id1:16,id:[3,4,9,13,16,23,25,33,34,41,43,50,51,52,53,54,56,57,63,65,70,74],id_1:16,id_fct_funclass:4,id_n:16,id_str:70,iddec:52,idea:[10,16,33,41,53],ideal:7,idem:23,ident0:50,ident1:50,ident:[2,3,5,6,9,10,11,12,13,16,23,24,26,27,28,29,30,31,33,34,36,37,39,42,43,45,50,52,54,56,57,58,59,61,63,65,66,70,71,72],ident_decl:[4,9,12,27,29,31,33,36,37,39,41,58],ident_or_anti:54,identifi:[2,3,9,13,16,23,24,27,28,29,30,34,39,40,42,43,45,50,51,52,53,54,56,57,59,65,66,71,74],identity_ind:26,identity_rec:26,identity_rect:26,identity_refl:26,identity_sind:26,identityt:16,ideograph:28,idiom:[16,53,54,56,65],idl:51,idn:16,idp:56,idtac:[13,16,24,51,54,56,59,65,70,73],idx:56,ieee:[16,35,76],iempti:70,if_then_els:[16,70],ifeq:52,iff:[3,16,25,26,30,56,58,70],iff_reflex:58,iff_symmetr:58,iff_tran:16,ifflr:56,iffrl:56,ifi:16,igler:16,ignat:16,ignor:[4,12,13,16,23,26,28,30,33,34,43,50,51,52,53,56,57,59,63,65,70],ih:66,ihl:66,ihm:56,ihn0:[66,71],ihn:[56,65,66],ihp:66,ihterm:66,ihu:56,ihv:56,ik:16,ikebuchi:16,ikfprintf:16,ill:[2,4,9,16,23,29,33,50,54,63,70,71],illeg:4,illtypedinst:16,illustr:[5,16,33,45,56,63],imag:[3,10,16,23,50,51,65],imai:16,imedi:59,immedi:[16,23,26,53,54,56,57,58,59,65],impact:[16,52,65,70],imped:53,imper:[16,23,54],impl:[3,5,58],impl_reflex:58,implb:[5,16,26],implb_andb_distrib_r:16,implb_contraposit:16,implb_curri:16,implb_false_iff:16,implb_false_l:16,implb_false_r:16,implb_negb:16,implb_orb_distrib_l:16,implb_orb_distrib_r:16,implb_sam:16,implb_true_iff:16,implb_true_l:16,implb_true_r:16,implement:[3,8,10,11,12,16,23,24,26,28,33,34,35,36,38,42,45,53,54,56,57,58,59,61,63,65,66,70,71,76],implementor:58,impli:[2,3,13,16,23,29,33,56,70],implic:[3,16,25,26,27,41,53,56,59,65,66,70],implicit:[2,3,5,9,12,16,23,24,27,32,33,36,37,41,42,44,50,52,54,56,57,58,65,66,74],implicit_bind:[27,43],implicitli:[3,12,13,16,23,33,50,54,59,63],implict:40,implypp:16,import_categori:[16,34,58],importantli:16,impos:[23,29,33,56],imposs:[5,16,33,45,52,57,66],impract:52,impred:[2,11,13,16,23,24,33,50,52,76],improp:16,improv:[2,3,8,10,16,23,28,51,53,56,66],inE:16,in_concat:16,in_cons_iff:16,in_context:16,in_dec:16,in_elt:16,in_elt_inv:16,in_flat_map_exist:16,in_goal:16,in_hd:66,in_hyp_a:57,in_in_remov:16,in_inj_comp:16,in_left:16,in_nth:16,in_remov:16,in_rev:16,in_right:16,in_shiftin:16,in_tl:66,inabl:63,inaccess:16,inact:65,inadvert:[16,51],inc:16,incant:56,incident:16,incl:[16,58],incl_app_app:16,incl_app_inv:16,incl_cons_inv:16,incl_exist:16,incl_filt:16,incl_foral:16,incl_forall_in_iff:16,incl_l_nil:16,incl_map:16,incl_nil_l:16,incl_refl:58,includ:[2,3,5,8,9,11,12,13,16,23,24,26,27,28,33,34,35,37,38,39,40,42,43,50,51,52,53,54,56,58,59,61,63,65,66,70,72,74],include_subdir:52,inclus:[13,16,53,54],incoher:[16,45],incom:[4,16],incompar:70,incompat:[13,23,24,33,40,45,56,58,65,70],incompatibili:16,incompatibilit:23,incomplet:[5,8,16,23,45,57,65,66,70],inconsist:[2,8,11,13,16,23,25,33,38,43,50,58,65,66,70],incorrect:[2,8,11,13,16,24,33,36,45,51,56,65],incorrectli:[11,16],incr_fct:4,increas:[3,5,8,16,23,52,56,61],incred:54,increment:[16,23,29,30,31,32,33,37,54,65],incur:[16,65],ind1:34,ind2:34,ind:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],ind_bool:58,indag:76,inde:[3,4,8,10,11,12,13,16,24,25,28,29,33,34,39,40,41,42,43,45,52,53,54,56,57,63,65,66,70,71],indefinit:16,indefinitedescript:16,indent:[8,16,24,65,70,74],independ:[2,8,12,13,16,23,33,50,51,52,53,54,56,66],indetermin:56,index:[3,12,16,23,24,25,26,28,38,39,43,51,57,59,63,65,66,72,74],index_iota:56,indic:[2,8,10,11,12,13,16,23,25,33,34,38,39,40,41,42,45,50,51,52,53,56,57,58,61,63,65,66,70],indirect:[16,63],indirectli:[16,23,57,58,59,73],indistinguish:[13,36],individu:[16,52,54,63,66,70],indp1:34,indp2:34,indp:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],indpstr:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],indrec:16,induc:[16,23],induct:[4,5,9,10,11,12,13,16,23,24,26,28,29,30,31,32,34,36,40,41,43,51,53,54,56,57,58,59,61,63,64,65,72,74,76],induction_arg:[54,66],induction_claus:[54,66],induction_ltof1:16,induction_ltof2:2,induction_principl:66,induction_test2:66,induction_test:66,inductive_definit:[29,33],ineffici:[5,16,23,56],inequ:[5,16,23,59],inexact:26,infam:16,infer:[3,4,9,12,13,23,24,25,33,36,39,40,41,44,45,50,56,57,59,61,66,70],infin:[26,29,70],infinit:[11,26,29,33,38],infinite_loop:33,infix:[2,13,16,23,24,26,41,56,57,63,73],inflat:16,influenc:[16,23,33],info:[5,16,53,59],info_auto:[16,59],info_eauto:[16,59],info_trivi:16,infoh:53,inform:[2,3,4,11,12,13,16,23,24,25,26,28,29,33,36,38,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,66,71,74,76],informatiqu:[23,76],infrastructur:[3,24,41,52],ing:[16,73],ingredi:54,inhabit:[13,28,30,31,33,36,39,42,45,50],inher:56,inherit:[16,23,24,28,41,51,54],inhibit:[16,56],ini:51,init:[9,16,26,34,50,53,54,57,58,59,65,66,70],initi:[2,6,7,10,12,16,23,26,28,37,45,51,52,53,54,56,57,58,59,61,62,63,65,66,70,73,74],initialr:10,inj:61,inj_compr:16,inj_lt:56,inject:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],inject_nat:16,injtyp:[5,16],inl:[26,39,56],inleft:26,inlin:[16,23,24,27,34,63,65,71,74],inner:[2,13,16,34,41,42,53,54,56,58,61,63,65,66,70,74],innermost:[53,70],input:[3,4,9,13,16,24,26,28,34,43,45,50,53,56,57,59,63,70,71,73,74],inputenc:74,inr:[16,26,39],inr_0:16,inr_1:16,inr_archim:16,inr_izr_inz:16,inr_unbound:16,inria:[16,23,24,26,52,74,76],inright:26,ins:[16,57,58],insarov:16,insensit:16,inser_trans_r:16,insert:[3,4,9,11,12,16,23,24,28,40,45,51,52,54,56,65,70,74],insid:[2,3,4,8,9,12,13,16,23,24,27,28,33,34,37,45,51,54,56,57,58,59,63,65,66,70],insofar:54,inspect:[2,16,56,58],inspir:[16,23,74],inst:36,instabl:16,instal:[16,24,26,34,50,51,63,65,71,72],installcoqdocroot:16,instanc:[2,3,4,5,10,11,13,16,24,25,26,27,28,29,30,33,34,35,36,38,39,40,41,43,45,50,51,52,54,56,57,58,59,61,63,65,66,70,74],instancenam:12,instanti:[3,12,13,16,23,33,34,42,43,53,54,56,57,61,66,70],instantiate_ltac_vari:57,instantli:56,instat:41,instead:[2,3,4,7,8,10,11,12,13,16,23,25,27,32,33,34,35,36,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],institut:[23,26],instruct:[2,5,16,52,57,58],instrument:60,insub:56,insubt:56,insuffici:[13,16,50],insur:23,int31:16,int63:[16,70],int63_eq:[35,58],int63_typ:[35,58],int63not:16,int_mult:56,int_of_nat:2,int_or_var:[3,53,65,70],int_part_frac_part_spec:16,int_part_spec:16,int_scop:16,int_wrap:70,int_wrapp:70,intead:16,integ:[2,3,7,10,16,23,24,28,33,38,51,52,53,54,56,58,59,63,65],integr:[10,16,23,24,26,50,51,56,60,72],intellig:[23,41],intend:[3,16,23,27,31,38,50,56,63,65,70],intens:[10,16,23,63],intent:[16,23,27,56],intention:50,intepret:16,inter:[23,52],interact:[3,12,16,23,24,31,32,36,37,39,41,42,51,58,64,65,66,74,75,76],interchang:[52,65],interdepend:24,interest:[2,4,5,10,16,23,30,41,53,56,66],interfac:[8,16,23,24,34,51,52,54,65,74,75],interfer:56,interleav:[10,16,57],intermedi:[16,26,56,65],intermediari:[2,63],intern:[3,5,10,13,16,23,24,33,36,43,50,52,53,54,57,59,61,65,70,71,72,76],internal_:58,internet:51,internship:23,interpet:57,interpol:[16,52,74],interpret:[3,5,9,10,12,16,23,24,26,28,31,33,34,40,43,50,51,52,53,54,58,74],interrupt:[16,51,53,58],intersect:9,intertwin:[16,56],interv:51,intervent:51,intf:16,intmap:[16,23],intric:[53,54],intro:[3,5,10,11,12,16,23,24,26,33,41,42,43,51,53,54,59,61,63,65,66,70,71],introa:33,introduc:[3,5,8,10,12,13,16,23,24,27,29,30,33,34,36,37,42,43,45,50,51,54,56,57,58,59,61,65,66,70,71,74],introduct:[7,12,16,23,29,33,61,66,70],introl:57,intron:56,intronf:56,introntf:56,intropattern:[16,54,57,66],intror:57,intros_until:54,intuit:[4,10,16,23,28,54,57,61],intuition_solv:[16,61],intuitionist:[16,23,24,26,33,56,61,76],intuitionnist:76,inv_high:13,inv_low:13,invalid:[16,23,39,51,53,58,63,65,70],invalid_argu:16,invari:[13,16,54],invariant_ind:13,invariant_rec:13,invariant_rect:13,invariant_sind:13,invers:[3,10,16,23,24,26,30,57,59,63,71,76],inversion_clear:66,inversion_sigma:16,invert:[12,16,56,66,71],invert_con:66,investig:[16,23,76],invis:[16,52,56],invit:[23,41],invoc:[24,52,53,56,58],invok:[10,16,33,50,52,58,59,65,66,74],involv:[3,4,9,11,16,23,24,25,33,40,41,50,51,52,53,56,58,59,61,63,66],inz:16,io:[16,24],iota:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],ip_i:33,ipat:[16,56],ipattern:16,ipr_2_xh:16,ipr_2_xi:16,ipr_2_xo:16,ipr_eq:16,ipr_ge_1:16,ipr_gt_0:16,ipr_ipr_2:16,ipr_l:16,ipr_lt:16,ipr_not_1:16,ipr_xh:16,ipr_xi:16,ipr_xo:16,irif:76,irr_high:13,irr_low:13,irreduc:[16,36,63,70],irrefut:[16,24,31,39,56],irrelev:[13,16,24,31,32,33,38,53,54,56,63,76],irrelevant_ind:13,irrelevant_rec:13,irrelevant_rect:13,irrelevant_sind:13,irrevers:[16,23,63],irst:76,is_arrai:16,is_clos:16,is_conj:53,is_const:16,is_constructor:16,is_double_moins_un:16,is_empti:16,is_evar:[16,53],is_float:16,is_ind:[16,53],is_law:41,is_law_:41,is_proj:16,is_tru:[11,56],is_true_eq_tru:11,is_uint63:16,is_zero:45,isaac:16,isbn:76,island:76,islezero:16,isn:[9,16,27,51,53,56,57,59,65,66],iso:[16,74],iso_axiom:53,isol:56,isomorph:[23,24,45,54,61,65,66,76],isprop:5,isquash:11,isquash_sind:11,issac:76,issu:[2,3,23,24,45,51,53,54,57,63,65,72],issucc:26,isum:70,iszero:16,ital:[28,52,65,74],italic:[16,74],itarget:16,item:[16,23,24,28,51,53,54,57,59,63,65,66,70,74],iter:[3,5,12,16,24,25,26,27,29,70],iter_add:16,iter_ind:16,iter_invari:16,iter_nat:16,iter_rect:16,iter_succ:16,iter_succ_r:16,iter_swap:16,iter_swap_gen:16,ith:45,ito:76,itp:[16,76],its:[2,3,4,5,6,9,10,11,12,13,16,23,24,26,27,28,29,30,31,33,34,35,36,37,41,42,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71,72,73,74,76],itself:[2,3,8,9,10,11,12,13,16,29,33,38,39,40,41,42,43,50,52,53,54,56,57,59,62,63,66,70],itzhaki:16,iunit:70,izr:[5,16,70],izr_neq:16,izr_pos_xi:16,izr_pos_xo:16,j:[5,8,13,16,23,24,25,33,35,38,42,50,53,56,63,71,76],jacek:[16,23],jacob:16,jacqu:16,jai:16,jame:16,jan:[16,23],januari:[16,23,76],jason:16,jasongross:16,jasper:16,javadoc:74,jean:[2,16,23,76],jedit:16,jef:52,jerri:16,jesper:[16,76],jesu:16,jfehrl:51,jim:16,jm:23,jmeq:[16,66],jmeq_eq_dep:16,joachim:16,job:[8,51,52,53,56],johann:16,john:[5,76],join:[5,23],joint:23,jonathan:16,jone:76,jose:16,jouannaud:76,jourdan:16,journal:76,jouvelot:16,jp:16,jr:16,json:[2,16,50,52],juan:16,judg:53,judgement:23,judgment:[25,34,58,76],juli:[16,23],julien:[16,71],julin:16,jump:[8,16,51,56],june:[16,23],jung:16,jurgensen:16,jussieu:16,just:[2,3,4,8,9,10,12,16,23,27,30,33,34,36,40,41,45,50,51,52,54,56,57,58,59,61,63,65,66,70,74],justif:26,justifi:[16,26],jut:23,k1:56,k2:56,k:[2,3,6,13,16,23,25,33,41,53,56,66,71,76],k_1:33,k_i:33,k_j:33,k_n:33,kaiser:16,kaliszyk:16,kalla:16,kamil:16,karl:16,karolin:16,karolina:16,karpiel:16,kartik:16,katakana:28,kate:16,kayla:16,kazuhiko:16,keep:[2,11,13,16,23,32,33,35,41,45,51,52,54,56,63,66],keepsingleton:[2,16],kei:[16,24,40,41,54,56,58,63,65,70],keller:16,kenji:16,kent:76,kept:[13,16,23,35,52,66,74],kernel:[8,9,11,23,24,26,28,31,32,35,36,37,40,44,45,52,54,57,58,63,65],ketonen:23,keyboard:[51,58],keymap:51,keystrok:51,keyword:[16,23,24,27,28,31,36,39,45,54,56,63,70,74],khanh:16,kil:16,kill:16,kind:[2,8,10,16,24,26,28,33,41,45,52,54,56,58,66,71],kit:16,klausner:16,kleen:[23,59],kloo:16,knaster:23,know:[8,16,23,26,31,33,41,45,51,52,53,54,56,58,59,61,63,66,70],knowledg:[16,24,70],known:[2,8,11,12,16,23,26,29,32,33,38,40,43,50,54,56,65,70],knownfil:52,knowntarget:52,ko:52,konstantino:16,kosogorov:16,krebber:16,krivin:[16,63],kuefner:16,kunz:16,kuper:16,kw:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],kwend:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],kyoto:23,l0:[45,53],l1:[41,53],l1_tactic:53,l2:[41,53],l2_tactic:53,l2r:16,l3_tactic:[53,65],l:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],l_inj:16,l_r_neq:16,la:[12,16,23,51,54,76],lab:23,label:[2,8,13,16,28,53,58],lablgtk2:16,lablgtk3:16,laboratori:23,lack:[16,52,54,56],lafont:[16,76],lam:[25,33],lambda:[2,3,10,16,30,51,54,63,66,70,76],lambo:23,lampropoulo:16,land:[5,16,58,70],land_comm:58,land_on:58,landau:23,landmark:16,lang:76,langl:16,langston:16,languag:[3,9,10,13,25,28,35,36,38,39,40,45,52,53,62,63,64,65,73,74,76],lannion:23,laport:16,lappli:57,lar:16,larchei:16,larg:[10,13,16,24,25,28,33,34,38,51,52,53,56,60,63,65,66,70,74],larger:[2,12,13,16,24,50,51,56,59,70,74],largest:[56,70],larri:[16,23],lass:[16,76],lasson:16,last:[4,5,8,9,16,23,31,33,34,36,37,41,45,50,51,52,53,54,56,57,58,63,64,65,66,70,71],last_ind_list:56,last_last:16,last_length:16,last_spec:56,last_spec_ind:56,last_spec_rec:56,last_spec_rect:56,last_spec_sind:56,lastadd:56,lastcas:56,lastli:74,lastp:56,lastseq0:56,late:[8,16,23,24,63],later:[10,16,24,30,31,42,43,49,52,54,56,57,65,66,70],latest:[16,24,49],latex:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76],latin1:74,latin:[16,28],latter:[3,10,16,27,33,34,41,50,53,54,56,57,63,65,66,74],lattic:4,launch:[2,12,16,24,51,52],laurenc:[16,56],laurent:[10,16,23],law:[16,23],lax:[16,54,59],layer:[16,24],layout:16,lazi:[2,8,9,11,16,23,54,63],lazili:[8,16,29,53],lazy_and:16,lazy_goal_match0:16,lazy_impl:16,lazy_or:16,lazymatch:16,lb:12,lbase:16,lceil:5,lcf:[23,54],lcm0:16,lcm:[16,58],lcm_comm:58,ldexp:16,ldexp_spec:16,ldiff:58,ldot:[3,7,33],ldshiftexp:26,le0:41,le:[3,5,12,13,16,23,26,41,45,51,56,63,66,76],le_:26,le_add_l:16,le_class:41,le_epsilon:16,le_eqb:12,le_gt_dec:[2,56],le_ind:[26,45,66],le_ipr:16,le_lt_dec:[2,16,23],le_lt_tran:42,le_m_n:56,le_minu:[16,71],le_n:[26,56,66],le_n_m:56,le_n_p:56,le_not_lt:16,le_plus_r:16,le_rec:66,le_rect:66,le_sind:[26,45,66],le_tran:57,lead:[2,13,16,23,25,28,33,38,56,57,59,63,70,74],leaf:[33,66],leak:16,learn:[2,16,24,53,71],least:[2,3,11,12,16,24,27,28,29,33,40,45,51,52,54,56,57,63,65,66,70,71,73,74],leav:[11,12,16,31,34,51,53,56,57,58,59,63,65,66],leb:[5,9,16,26,56,58],leb_implb:16,lectur:76,led:[16,23],ledinot:23,lee:[16,76],lef:45,lefanu:16,left:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],lefta:70,leftarrow_:10,leftmost:[16,33,40,57],legaci:[2,3,5,6,9,10,13,16,26,28,33,35,39,41,42,50,53,54,56,57,58,59,63,65,70,71],legacy_attr:[9,13,28,34,39],legal:[16,30,33],legibl:56,legitim:23,lego:23,leibniz:[3,5,7,10,12,16,23,24,26,34,39,56,57,66],leivent:16,lel:58,lel_refl:58,lele_eq:41,leminv:66,lemm:23,lemma:[3,5,10,12,13,16,23,24,31,33,35,37,41,43,45,53,56,57,58,59,61,63,66,71],lemmata:16,len:53,length:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],length_to_list:16,length_zero_iff_nil:57,lennon:16,leo:[45,66],leonida:16,lepigr:16,leq:[33,41,56],leq_add_sub:56,leqn:56,ler90:[63,76],lerai:16,leroi:[16,23,76],lescuy:16,less:[2,4,8,10,13,16,23,33,45,50,52,53,54,56,58,59,63,70,76],let02:[2,76],let:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],let_claus:53,letan:16,letin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],letouzei:[2,16,23,76],lettac:23,letter:[16,23,25,26,28,36,45,50,54,70,74],level:[8,12,13,16,23,24,25,30,34,35,36,40,41,45,50,51,52,53,56,58,63,65,66,70,71,72,74],lewycki:16,lex:74,lexer:65,lexic:[2,16,24,50,58,70,74],lexicograph:[7,10,52],lexicographic_product:16,lfloor:5,lgth:33,lh:[54,56,58],li:16,lia:[16,24,53,54,56,59],lia_ltac1:54,lib:[16,23,50,52,54,58,74],librari:[2,5,8,24,28,34,35,39,40,51,53,56,57,63,65,71,74],lic:76,licens:[24,49],licit:24,lid:56,lident:54,life:16,lift:[3,11,13,16],liftn:16,light:[5,16,23,51,65,74],lighter:[8,12],lightweight:16,like:[2,4,8,9,10,12,13,16,23,25,26,28,31,33,34,37,38,40,41,42,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,74],likewis:[9,16,54],limit:[3,5,9,12,13,16,23,24,26,28,34,40,45,50,51,52,53,54,56,57,58,59,62,63,65,70,71],lincon:5,line:[2,8,11,23,24,28,41,51,52,53,54,56,57,58,63,65,70],lineag:54,linear:[2,3,10,13,16,23,24,45,50,53,54,56,63],linearintuit:23,liner:[16,24],link:[2,15,16,23,26,45,50,52,56,71,74],linkal:52,linker:23,linkpkg:52,lint:[16,52],linter:[16,50],linux:[16,34,50,51,52,58,63],lionel:16,lip:[23,76],lirmm:76,lisp:23,list0:[54,70],list1:[54,70],list2:33,list2_ind:33,list2_rec:33,list2_rect:33,list2_sind:33,list3:33,list3_ind:33,list3_rec:33,list3_rect:33,list3_sind:33,list:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76],list_equiv:3,list_ind:[13,33,40,43,45,56,66],list_max:16,list_max_app:16,list_max_l:16,list_max_lt:16,list_power_length:16,list_rec:[13,33,40,43,45,56,66],list_rect:[13,33,40,43,45,56,66],list_scop:[16,26,63,70],list_sind:[13,33,40,43,45,56,66],list_sum:16,list_sum_app:16,listdec:16,listing_decidable_eq:16,listn:45,listn_ind:45,listn_rec:45,listn_rect:45,listn_sind:45,listnot:[16,53,71],listset:16,listw:33,liter:[2,5,16,28,35,41,53,54,56,70],literatur:[12,33],littl:[8,9,10,13,16,34,56,63],live:[13,16,26,50,54],live_word:65,ljt:[53,61],ll1:70,ll:[12,16,33,51,52],llm3:23,ln:16,ln_exists1:16,lnc:76,lnot:[16,74],load:[2,3,5,6,7,8,9,10,16,23,24,26,28,33,34,35,41,42,53,54,56,57,59,63,65,66,70,71,72],loadabl:16,loadfil:58,loadpath:[16,23,50,52,58],local:[2,3,4,5,9,12,16,23,24,25,27,29,30,31,33,40,41,51,54,58,61,63,65,66,74],localhost:8,localis:23,locallysorted_sort:16,locat:[2,16,23,24,34,50,51,52,53,54],lock:[16,24],lockwood:23,log2:[16,58],log:[16,23,52,53],logarithm:16,logic:[2,3,9,11,12,16,23,24,25,27,28,29,33,34,38,50,56,57,58,59,60,65,66,74,76],logic_typ:[16,26],logical_dir:23,logical_kind:58,logiqu:76,loic:23,loiseleur:[10,23],lone:[16,70],longer:[3,9,16,23,30,33,37,43,51,52,57,65,66,70],longest:[16,28,33,40,74],longrightarrow:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],look:[4,8,9,10,12,13,15,16,24,50,52,53,54,56,57,58,59,65,66,70,71,74],lookup:10,loop:[16,23,24,50,54,57,59,62],loos:[16,59],lopez:16,lor:[16,58],lor_comm:58,lorenzo:76,lose:[33,66,70],loss:[16,56],lost:[16,29,43,56,66],lot:[3,10,16,23,51,54],lotfi:16,lott:16,low:[13,16,24],lower:[13,16,51,53,54,56,59,63,70],lowercas:[16,28,36,45,51,54],lowest:[36,53],lpar:76,lqa:5,lra:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],lri:[16,23,76],ls:[16,50,52],ls_color:50,ls_l:16,lsl:16,lsr:16,lt:[3,9,12,16,26,41,56,70,71],lt_1_ipr:16,lt_1_r:66,lt_eq_lt_dec:16,lt_ipr:16,lt_irrefl:[42,57],lt_mult_left:16,lt_n_m:56,lt_not_l:16,lt_tran:[42,56],lt_wf_double_rect:16,lt_wf_rec:[2,23],lt_wf_rect1:16,lt_wf_rect:16,ltac1:[16,24],ltac1_expr_in_env:54,ltac1val:54,ltac2:[24,34,51,52,53,58,62,65,70,73],ltac2_as_ipat:54,ltac2_as_nam:54,ltac2_as_or_and_ipat:54,ltac2_bind:54,ltac2_branch:54,ltac2_by_tact:54,ltac2_claus:54,ltac2_concl_occ:54,ltac2_constr_with_bind:54,ltac2_convers:54,ltac2_delta_reduct:54,ltac2_destruction_arg:54,ltac2_eqn_ipat:54,ltac2_equality_intropattern:54,ltac2_expr0:54,ltac2_expr1:54,ltac2_expr2:54,ltac2_expr3:54,ltac2_expr5:54,ltac2_expr:[54,70],ltac2_for_each_go:54,ltac2_goal_tact:54,ltac2_hypid:54,ltac2_hypident_occ:54,ltac2_in_claus:54,ltac2_induction_claus:54,ltac2_intropattern:54,ltac2_let_claus:54,ltac2_match_kei:54,ltac2_match_list:54,ltac2_match_pattern:54,ltac2_match_rul:54,ltac2_naming_intropattern:54,ltac2_occ:54,ltac2_occs_num:54,ltac2_or_and_intropattern:54,ltac2_oriented_rewrit:54,ltac2_plugin:54,ltac2_quot:54,ltac2_red_flag:54,ltac2_reduct:54,ltac2_rewrit:54,ltac2_scop:[54,73],ltac2_simple_bind:54,ltac2_simple_intropattern:54,ltac2_tactic_atom:54,ltac2_typ:54,ltac2_type0:54,ltac2_type1:54,ltac2_type2:54,ltac2_typevar:54,ltac2val:[16,54],ltac:[5,12,23,24,34,42,51,52,56,57,58,59,61,62,63,65,66,70,73,76],ltac_expr0:[10,53],ltac_expr1:[53,65],ltac_expr2:[53,65],ltac_expr3:[3,28,53,57,63,65],ltac_expr4:53,ltac_expr:[5,9,10,28,53,54,59,61,63,65,70],ltac_production_item:70,ltacprof:16,ltb:[5,16,26,58],ltnv:56,lui:76,lukasz:16,lumsdain:16,luna:23,luo:23,luttik:76,lv97:[3,76],lv:[16,50],lvar:7,lw11:[16,76],lxor:[16,58],lxor_comm:58,lyng:16,lyon:[23,76],lysxia:16,m0:[30,41,66],m150:57,m151:57,m1:[16,34],m2:[16,34],m:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],ma:76,mac:[52,59],maccagnoni:16,machin:[16,23,24,26,31,35,50,53,54,63],machineri:[3,16,56],maco:[16,50,51],macro:[16,23,45,65,74],made:[2,3,13,16,23,28,33,34,37,45,50,52,53,56,57,63,65,70,71,74],magic:[2,16,23,54,58],mahboubi:[10,16,41,56,76],mai:[2,3,4,5,8,9,11,12,13,14,16,23,24,25,26,28,30,31,32,33,34,36,37,39,40,41,42,43,45,49,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,73,74,76],mail:16,maillard:16,main:[2,8,9,10,12,16,24,26,28,33,39,51,52,53,54,56,59,63,70],mainli:[13,26,59,74],maintain:[9,12,16,26,38,45,50,52,56,57,70],maintaint:16,mainten:[16,24,57],major:[14,16,23,25,41,50,52,54,72,73],makariu:16,makarov:[5,16],make:[2,3,4,5,8,9,10,11,12,13,16,23,24,25,26,27,28,29,31,32,33,34,36,38,40,41,42,43,44,45,50,51,52,54,56,57,58,59,61,63,65,66,70,74,76],make_change_arg:16,makecmdgo:52,makefil:[8,16,50,51,52],malecha:16,malici:[16,50],maman:16,man:[24,50],manag:[3,12,16,23,24,31,37,50,52,56,58,59,61,72],mandatori:[2,8,16,31,56,65,70],mangin:16,mangl:[16,50,57,65],mani:[3,8,10,12,13,16,23,24,26,28,32,33,34,38,41,50,51,52,53,54,56,57,59,63,65,70,72],manifestli:34,manipul:[3,9,16,23,24,33,36,38,54,56,62,76],manna:23,manner:[23,50],manouri:23,mantissa:26,manual:[2,10,23,24,28,49,51,52,56,59,65,66,70],map2_ext:16,map:[3,5,12,16,23,24,25,26,33,34,35,38,40,43,50,52,56,57,58,59,70,71,74],map_append:16,map_eq_app:16,map_eq_con:16,map_ext:16,map_ext_foral:16,map_ext_in:16,map_id:16,map_last:16,map_map:16,map_morph:3,map_repeat:16,map_rev:16,map_shiftin:16,mapl:23,maplemod:23,mapsto:10,marc:16,march:[16,23,76],marech:16,marel:16,margin:[16,56],mari:16,mark:[2,11,16,23,30,36,40,43,50,51,52,53,54,56,58,59,63,65,70],marker:[16,58],marshal:16,marti:16,martin:[16,23,26,33,76],martinez:16,mask:[2,34],massiv:34,master:[8,16,51,52,76],master_kei:56,match:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,34,35,37,38,40,41,42,43,44,46,47,48,49,50,51,52,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],match_failur:[16,56],match_hyp:53,match_kei:53,match_pattern:53,matches_go:16,matej:16,materi:[16,23,24,49,56],math:[16,74,76],mathbb:[5,7,16],mathcal:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],mathcomp:16,mathemat:[5,16,23,24,28,33,36,50,51,56,63,65,74,76],mathematica:23,mathematician:16,mathematiqu:76,mathieu:76,mathit:[5,25,33],mathrm:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],mathsf:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],mathtt:5,matsushita:16,matt:16,matter:[16,36,50,56,63,66],matthew:16,matthia:16,matthieu:[3,9,13,16,76],matur:23,mauni:23,max:[13,16,23,38,45,53,58],max_comm:58,max_int:2,maxim:[3,12,16,24,40,50,56,70,76],maximum:[8,12,16,45,59,61,63,65],mayb:63,mayero:23,mbox:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],mcb00:[66,76],mcbride:[66,76],md5:16,md:[16,70],mean:[2,3,5,9,10,11,12,13,16,23,24,25,26,27,28,30,31,33,34,37,39,41,42,43,45,50,51,52,53,56,57,58,63,64,65,70],meaning:[16,28,51],meaningless:74,meant:[2,3,13,16,54,58,63],meantim:16,measur:[9,16,33,53,71],measure_induct:16,mechan:[2,3,4,9,12,16,23,24,28,33,37,40,45,50,51,52,54,64,65,70,71,76],medium:56,meerten:6,meet:[2,9,70],melquiond:16,mem:[16,52],member:[12,41,54],memo:23,memoir:23,memori:[8,10,16,23,24,28,50,52],menial:56,mental:66,mention:[2,3,13,16,23,25,33,38,43,45,50,53,56,57,59,65,70],menu:[16,23,51,65],mere:[2,16,54,56,63,70],merg:[16,43],mergesort:16,merlin:[16,52],mess:16,messag:[3,4,8,10,11,12,13,15,16,23,25,28,29,33,34,36,39,40,41,42,43,45,50,51,53,54,56,57,58,61,63,65,66,70,73],met:52,meta:[16,23,24,38,52,58],metadata:[52,58],metalanguag:16,metamathemat:[23,76],metaprogram:53,metasyntact:54,metasyntax:16,metatheori:56,metavari:[16,23,24,53,54,61],method:[2,3,5,6,7,9,10,12,16,23,26,28,29,33,35,41,42,52,53,54,56,57,58,59,63,65,71,76],methodolog:[23,56],metric:16,metzger:16,meven:16,micaela:23,michael:16,michel:[16,23],micro:51,micromega:[16,24,60,65],micromega_core_plugin:[5,10,26,28,35,53,54,56,59,65],micromega_plugin:[5,10,26,28,35,53,54,56,59,65],microsoft:16,mid:16,middl:[16,28,53,56,70,74],might:[2,3,5,8,12,16,45,50,52,54,56,61,66,70,71,74],migrat:16,milad:16,mileston:16,miller:16,milner:[23,54,76],mimic:[12,36,56],mimram:16,min:[16,23,58],min_comm:58,mind:51,mingw:16,minic:23,minim:[8,16,23,24,33,50,52,56,66],minimum:16,miniorderedtyp:16,minki:16,minor:[16,50,56,70],minor_heap_s:50,minu:[10,16,26,28,40,71],minus_ind:71,minus_ipr:16,miquel:23,mirai:16,mirror:16,misc:[16,23,51],miscellan:24,mislead:[16,70],misleadingli:16,mismatch:[16,45,52],mispars:59,miss:[5,8,12,16,23,34,42,50,51,54,56,57,61,63,70,74],misspel:[45,58],mistaken:74,misus:65,mitchel:76,mitig:[16,56,72],mix:[13,16,23,26,41,53,56,70],mixin:41,mixtur:23,mk_field:10,mk_linear:10,mk_rt:10,mk_sfield:10,mk_srt:10,mkmorph:10,mkpow_th:10,mkpredtyp:16,mkr:16,mkrat:36,mkrel:56,mkrmorph:10,ml4:16,ml:[3,5,6,8,9,10,16,23,24,25,26,28,33,35,41,42,45,50,51,52,53,56,57,58,59,62,63,65,71,76],mldep:16,mlg:[52,58],mli:[5,16,52],mlihtml:16,mllib:[16,52],mlpack:[16,52],mn:16,mod1:[34,50],mod2:[33,34],mod:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],mod_zmod:16,moda:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],modal:16,mode:[9,12,13,16,23,24,28,29,31,33,37,40,45,50,53,57,58,59,64,74],model:[10,16,23,56,76],modern:54,modif:[2,4,10,16,35,57,70],modifi:[3,4,8,10,12,13,16,23,24,28,35,37,40,50,51,53,54,56,57,65,66,70],modimp:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],modnam:56,modtyp:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],modu:57,modul:[2,3,5,7,9,10,12,16,23,24,26,27,28,32,35,36,37,39,40,41,43,50,51,53,54,56,57,58,59,63,65,66,70,71,74],modular:[2,16,23],module_bind:34,module_expr_atom:34,module_expr_inl:34,module_prefix:52,module_typ:34,module_type_inl:34,modulenam:74,modulo:[2,4,5,10,16,23,26,33,53,56,57,58,70],modulu:16,moh86:[23,76],mohr:[23,26,76],mohrin:23,moin:16,moment:[16,25,51,52,53],mon_car:13,mon_op:13,mon_unit:13,monad:[13,16,54],monat:[16,23],monin:[16,23],monoid:[13,54],monoid_op:13,monoids_monoid:13,monolith:[2,16],monom:16,monomi:[5,10],monomorph:[9,16,24,26,28],mononorph:13,monospac:16,monoton:[3,4,16],monotoni:3,montevideo:23,month:16,moor:23,mora:76,moral:33,more:[2,3,4,5,6,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,32,33,34,35,37,39,41,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71,72,73,74],moreov:[3,5,8,16,27,43,45,50,51,56,61,70],morgan:16,morph0:10,morph1:10,morph_add:10,morph_eq:10,morph_mul:10,morph_opp:10,morph_sub:10,morphism:[4,10,16,24,58,70],morphisms_prop:[3,16],morphisms_rel:16,morri:23,most:[2,3,4,8,11,16,23,26,28,33,37,40,44,45,50,51,52,53,54,56,57,59,62,63,65,66,70,71,72],mostli:[2,3,16,23,51,56,59],mot_to_ot:16,motiv:[10,16,54,56,76],motzkin:16,mous:[23,51],move:[12,16,23,24,42,51,52,54,65,66,70],move_loc:54,movement:57,mset:16,msetavl:16,msetrbt:16,msg:54,msub:34,mt13:[41,76],mt:34,mtac2:62,mtac:54,mto:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],much:[2,10,12,16,24,32,50,52,56,58,62,63,70],mul1g:56,mul:[2,5,16,26,35,51,56,70],mul_add_distr_l:6,mul_comm:[10,58],mul_exp:56,mul_spec:[26,35],mulder:16,mule:56,mulg1:56,mulgi:56,muln0:56,muln1:56,muln:56,mult1_rev:56,mult:[10,16,23,25,26,56],mult_comm:56,mult_ipr:16,mult_mark:56,mult_n_o:26,mult_n_sm:[26,58],multi1:56,multi1_rev:56,multi2:56,multi3:56,multi:[12,16,24,51,53,54,65,74],multi_goal_match0:16,multi_match0:16,multi_match:16,multibyt:16,multimatch:16,multipl:[3,4,9,13,16,23,24,26,28,33,34,39,43,51,57,58,59,63,65,66,70],multipli:[2,26,56],multirul:56,multiset_eq:3,multisuccess:16,mun94:[61,76],munch:16,murthi:23,museum:24,must:[2,3,4,6,7,8,9,10,11,12,13,16,23,24,25,26,28,29,33,34,35,36,38,39,40,43,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],mutabl:16,mutual:[9,16,23,24,28,29,31,36,53,54,66,70,71],my:[51,52,56,58],my_:39,my_congr_properti:56,my_def:56,my_eq:56,my_lemma1:56,my_lemma2:56,my_nat:39,my_o:39,my_package_plugin:58,my_scop:16,my_tac:51,my_tauto:53,my_tauto_ex1:53,my_tauto_ex2:53,my_toplevel:52,mybool:40,mybool_scop:40,myclass:36,mycod:52,myconst:23,myconstr:54,mye86:[65,76],myer:[65,76],myfield2:36,myfield:36,myfil:52,myfirst:53,myforal:70,mygeneratedfil:52,mylemma:56,mylet:70,mylib:73,myop:56,mypackag:52,myproj:52,myrecord:36,mytac:[16,54,56],mytauto:53,n0:[2,9,30,45,56,57,66,71],n1:[2,9,33,52,56,71],n2:53,n2bv_gen:16,n2bv_size:16,n2z:16,n:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],nO:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],n_1:[10,25],n_2:10,n_gt0:56,n_i:56,n_k:25,n_scope:70,n_sn:26,naddord:16,naiv:56,nake:56,name:[2,3,4,5,6,8,9,10,12,13,16,24,25,26,27,28,30,31,33,35,37,38,39,40,41,42,43,45,50,51,52,54,56,57,58,59,63,66,70,71,73,74],name_go:65,nameless:[16,76],nameofthem:51,namespac:[13,16,34,41,52,58],naming_intropattern:[57,66],nan:[16,26,70],nanci:23,nanevski:76,nant:16,narasimhan:[23,76],narboux:16,narith:[10,16,26],narithr:[10,16],narrow:[58,66],naryfunct:16,nash:16,nat2z:56,nat:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],nat_cas:[26,66],nat_case_nodep:66,nat_compar:16,nat_compare_alt:16,nat_double_ind:26,nat_eq:41,nat_eqcl:41,nat_eqti:41,nat_ind:[26,33,57],nat_it:16,nat_l:41,nat_lecl:41,nat_leq_compat:41,nat_leqmx:41,nat_leqti:41,nat_leti:41,nat_of_int:2,nat_op:43,nat_or_id:56,nat_or_var:[5,12,16,53,57,59,66],nat_rec:[26,33,43,66],nat_rec_nodep:66,nat_rect:[26,33,58],nat_rect_plu:58,nat_scop:[6,26,30,33,37,45,56,70],nat_setoid:41,nat_sind:[26,33],nati:52,natint:16,nativ:[2,5,11,23,24,35,50,53,54,57,58,63],native_cast_no_check:57,native_comput:[16,24,31,35,50,57],native_compute_profil:63,nativecomput:[16,63],natnod:33,natord:16,natr:23,nattre:33,nattree_ind:33,nattree_rec:33,nattree_rect:33,nattree_sind:33,natur:[2,5,7,9,12,13,16,23,24,25,26,27,28,29,33,34,36,38,39,41,43,45,51,52,56,57,58,59,61,63,65,70,71],naveen:16,navig:[23,51,56,74],nawrocki:16,nbinari:52,ncring_tac:16,nd:76,ndigit:16,ndist:16,ndoubl:16,ne_:70,nearest:[16,26,53],nearli:72,necess:16,necessari:[3,4,9,12,16,23,28,32,36,52,54,56,58,61,63,66,70],necessarili:[4,45,66,71],necessit:23,need:[2,3,5,8,9,10,12,13,16,23,24,27,28,30,31,33,34,37,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,72,74,75],neg:[5,16,26,28,29,36,63,65,70],neg_infin:26,neg_zero:26,negat:[16,26,53,56,57,59,61,66],negb:[5,12,26,61,70],negp:56,negpp:16,neither:[13,45,53,54,56,63,66],nelson:61,neq0:56,neq:10,neq_symmetr:58,neqb:12,neqb_implicit:12,nest:[3,9,16,23,24,28,31,34,37,39,53,56,57,58,63,65,70,74],net:16,network:59,never:[2,12,13,16,23,34,40,41,43,50,53,54,56,57,59,63],nevertheless:[2,16],new_var:16,newcommand:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],newdestruct:[16,23],newer:16,newest:[7,53,54],newinduct:[16,23],newli:[16,28,59,66],newlin:[16,23,28,52,53,70,74],newman:[16,23],newn:53,next:[3,9,12,16,23,26,28,32,33,41,43,45,50,51,53,54,56,59,63,64,65,66,70],next_down:26,next_up:26,ngan:16,nge0:56,ngt0:56,ni:52,nia:[16,24],nice:[51,56,66,74],nicer:16,nichola:16,nick:16,nickolai:16,nicola:[3,16,76],nicolo:16,niesi:76,nijmegen:[16,23],nikishaev:16,nikita:16,nil2:33,nil3:33,nil:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],nil_spec:16,nilhl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],niln:45,nilw:33,ninf:26,niqui:16,nlist:70,nm:56,nmake:16,nmake_gen:16,nmax:16,nmin:16,nminu:16,nnn:[16,70],nnormal:26,nnumber:16,nocor:[16,59],nocycl:52,node:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],nodebug:16,nodup:16,nodup_app_remove_l:16,nodup_app_remove_r:16,nodup_filt:16,nodup_incl:16,nodup_incl_nodup:16,nodup_list_decid:16,nodup_permutation_bi:16,nodup_rev:16,noedit:65,noi:[16,50],noinit:[16,28,50,65],noinlin:2,nois:52,nomacintegr:16,nomatch:[16,40],non:[2,4,6,8,9,12,13,16,23,24,25,26,27,28,29,34,36,39,40,45,50,51,52,56,58,59,61,63,65,71,74],nonassoci:70,nonconst:7,noncrit:16,noncumul:[16,24,28],none:[4,5,12,16,23,26,33,39,41,45,50,53,54,56,65,70],nonempti:[8,59],nonetheless:[2,16,29,31,35,50,54,65],nonlinear:16,nonneg:59,nonprimit:16,nonproptyp:16,nonrecurs:[16,36,39,66,71],nonreflex:24,nonsimple_intropattern:54,nonstandard:16,nonsymmetr:24,nontermin:[16,28,53,54,70],nontrivi:[10,16,45,50,56],nonuniform:[4,16],nonzero:[3,10,36,53],nor:[10,16,25,33,34,45,50,51,52,53,54,56,57,58,63,66,70],norec:50,norm:10,normal:[2,3,4,5,10,16,23,25,26,28,29,30,33,34,40,43,50,51,52,53,54,56,58,63,65,66,70,71,76],normfr_mantissa:26,norp:56,north:76,nosimpl:56,not_1_ipr:16,not_eq_:26,not_eq_sym:26,not_found:[16,23],not_i:33,not_i_i:33,not_ipr:16,not_locked_false_eq_tru:56,not_nodup:16,nota:16,notabl:[16,23,36,50,54,56,63,66],notat:[4,5,9,10,13,23,24,25,27,28,30,32,33,34,35,36,37,39,40,44,45,50,51,52,56,57,59,63,66,72,73,74,76],notation_declar:70,notconst:10,notcresolut:[16,56],note:[2,3,4,5,7,8,10,11,12,13,14,16,23,25,26,27,28,33,34,36,39,41,42,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,76],notempl:16,notepad:52,noth:[3,12,16,37,40,50,53,54,56,57,61,63,65,66],notic:[3,4,5,16,25,33,34,37,45,50,51,53,56,57,63,65,70,71,73],notin:[16,25],notin_flat_map_foral:16,notin_remov:16,notion:[5,10,16,23,24,25,26,32,33,45,50,53,54,57,63,70,76],nott:[16,26],notypeclass:[16,57],nouniv:53,nov:23,novel:[16,24],novelti:[16,24],novemb:[16,23,76],novic:[16,56],now:[2,3,4,10,12,13,16,23,25,26,29,33,34,40,41,45,50,51,52,53,54,56,58,59,63,66,70,71,73],nowadai:52,np_n:33,npe:10,npeano:16,npo:36,nq:66,nra:[16,24],ns:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],nsatz:[16,24,60],nsatz_comput:16,nsatztact:[7,16],nset:70,nsi:16,nsubn:26,nsucc_doubl:16,ntf:50,nth:[16,26,57],nth_append_l:16,nth_append_r:16,nth_error:16,nth_error_:16,nth_error_con:16,nth_error_ext:16,nth_error_map:16,nth_error_nil:16,nth_error_o:16,nth_error_repeat:16,nth_ext:16,nth_middl:16,nth_nth_nth_map:16,nth_order:16,nth_order_ext:16,nth_order_hd:16,nth_order_replace_eq:16,nth_order_replace_neq:16,nth_order_tl:16,nth_repeat:16,nth_replace_eq:16,nth_replace_neq:16,ntn:23,nullstellensatz:[5,7,16],num1:23,num2:23,num:[10,16],numarg:23,number:[2,3,4,5,7,10,12,13,16,23,24,25,28,29,33,35,36,38,39,40,41,42,43,45,51,52,54,56,57,58,59,61,63,65,66,71,73,76],number_modifi:70,number_or_str:[28,70],number_string_via:70,numer:[5,10,16,23,26,28,70],numgoal:[16,24],nuprl:23,nvar:23,nw:2,ny:76,nz:16,nzero:26,o:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],o_:[26,36],oapp_comp:16,obei:[16,23,36],obfusc:58,obindeapp:16,obj:[2,23,41],object:[2,3,4,8,9,10,12,13,16,23,24,25,27,28,29,30,32,34,36,37,38,39,40,41,43,50,52,54,56,58,63,66,70,71],oblig:[12,16,24,36,56,61,71],observ:[16,33,36,39,53,54,58,65,70],obsolet:[16,23,50,57],obstacl:[16,41],obstruct:56,obtain:[2,3,4,5,8,16,33,53,54,56,57,63,66,71,74],obviou:[3,33,56,70],obvious:[16,70],ocaml:[2,9,10,16,23,24,28,31,35,50,52,53,54,62,63,65,70,72,74],ocaml_librari:52,ocamlbuild:16,ocamlc:16,ocamldep:16,ocamldoc:74,ocamlfind:[16,52,58],ocamllib:52,ocamlopt:[16,52],ocamlrunparam:[16,50,65],ocamlwarn:52,ocan_comp:16,ocan_in_comp:16,occ:56,occ_switch:56,occas:16,occasion:[16,23,28,52,65],occs_num:[16,54,57,63],occur:[2,3,4,8,16,23,25,27,29,33,36,37,40,41,43,45,53,54,56,57,58,59,63,65,66,70],occur_between:16,occurn:16,occurr:[2,3,10,13,16,23,24,25,42,43,45,51,53,54,58,59,63,70],octal:16,octob:[23,76],ocurr:57,odd:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],odd_:33,odd_alt:16,odd_alt_odd:16,odd_even:66,odd_even_ind:16,odd_ind:[33,66],odd_j:56,odd_sind:[33,66],odditi:53,oddn:56,oddt:16,oddt_event_rect:16,of_bit:58,of_constr:54,of_float:35,of_goal:16,of_hex_uint:58,of_int63:26,of_int64:35,of_int:35,of_list_to_list_opp:16,of_module_typ:34,of_nat:[16,56],of_num_uint:[28,58,70],of_str:54,of_typ:[4,16,27],of_type_inst:[16,33,36],of_uint:[58,70],of_uint_dec:70,off:[2,8,11,12,13,16,23,26,28,33,34,36,42,43,45,50,51,52,53,56,58,63,65,66,70],offer:[16,28,45,51,54,56,58,70],offici:[16,53],offset:[16,52],offsid:16,ofil:52,often:[2,3,12,13,16,24,27,42,45,51,52,54,56,57,65],ok:[16,28,51,57],okj:16,old:[3,10,23,24,50,52,54,57,59,65,66],older:[16,28,66],oldest:[4,16],oldf:54,oldroot:16,olift:16,olift_comp:16,oliv:16,olivi:[16,23],omap_comp:16,omapeapp:16,omapebind:16,omega2:16,omega:[16,23],omegalemma:16,omegatact:16,ominu:10,omiss:16,omit:[2,3,8,13,16,26,27,28,29,31,33,36,37,39,40,41,43,44,45,52,53,54,56,57,58,59,65,70,74],omnisci:16,onc:[3,8,9,10,12,13,16,23,24,26,31,33,40,41,43,45,50,52,54,56,57,58,59,63,65,66,70,71],ondemand:[16,50],one:[2,3,4,5,6,8,9,10,11,12,13,14,16,23,25,26,27,28,29,30,32,33,34,35,36,37,39,41,42,43,45,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71,73,74,76],one_goal_match0:16,one_minus_one_is_zero:35,one_pattern:[12,58,59],one_term:[3,5,6,7,10,12,28,33,53,57,59,61,63,66,70,71],one_term_with_bind:[3,57,63,66,71],one_two_ir:36,one_typ:[28,57,63],ones:[2,3,4,8,12,13,16,24,27,33,34,36,43,45,51,52,53,56,57,58,62,65,66,70,74],ongo:16,onli:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,24,25,27,28,29,30,31,32,33,34,36,38,39,40,41,42,43,45,49,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,73,74],onlin:[26,72],onto:[16,70],oop:16,op1:[56,57],op2:57,op:[5,41,43,52,56,65,70],opac:[16,63],opam:[16,24,26,72],opam_packag:52,opaqu:[3,6,8,9,13,16,23,24,30,31,34,37,50,56,58,59,63,65,66,70,74],opcod:16,open:[3,5,6,10,12,16,24,26,28,34,35,37,41,49,51,53,54,56,58,59,63,65],open_bind:[27,57,63],open_constr:[16,54],open_constr_with_bind:16,openbsd:16,opencont:[24,49],openpub:[24,49],openurl:51,oper:[3,5,9,10,13,16,23,24,26,31,33,35,50,51,53,54,56,59,65,66,70],operand:[16,26],operation:35,opl:5,oplt:5,oplu:10,opn:57,opp:26,oppen:61,oppos:[16,56],opposit:[16,30,31,45,57,63],opt:[16,23,52,54,70],optim:[5,9,16,23,24,35,57,63,65,76],optimis:23,optimize_heap:[16,65],option:[5,8,9,10,12,13,15,23,24,25,26,33,34,37,39,41,43,45,49,51,52,53,54,56,57,58,59,61,63,66,70,73],option_eqb:12,option_eqb_obligation_1:12,option_eqb_obligation_2:12,option_eqb_obligation_3:12,option_ind:[26,33,57],option_rec:[26,33,57],option_rect:[26,33,57],option_sind:[26,33,57],oq:76,or_and_intropattern:57,or_assoc:58,or_ind:[33,39],or_introl:[26,33,39,45,57,66],or_intror:[26,33,39,45,57,66],or_sind:[33,39],oracl:5,orang:51,orb:[26,56,61],orb_comm:58,orb_negb_l:16,ord:[12,56],ord_ind:56,ord_rec:56,ord_rect:56,ord_sind:56,order:[2,3,4,6,7,8,9,10,11,12,13,14,16,23,24,25,26,28,29,31,33,34,36,39,41,42,45,50,51,52,53,54,56,59,60,61,63,65,66,70,71,74,76],ordered_set_lang:52,ordered_typ:[16,59],orderedgrammar:70,orderedtyp:[16,59],orderedtypeex:16,orderg1:56,orderg:56,orderg_dvd:56,ordersex:16,orderstac:16,ordinari:[3,16,25,36,38,70],org:[24,49,63,74,76],organ:[16,23,24,52,54,56],organis:23,orient:[16,23,24,50,53,54,56,59,63],oriented_rewrit:[54,63],origin:[2,3,4,9,10,16,23,28,30,33,37,42,43,45,52,56,57,61,63,65,66,70],orp:56,orphan:52,orphan_foo_bar:52,orpp:16,orsai:[16,23],orthogon:56,os:[16,52],oscar:16,ot:59,other:[2,3,4,5,6,8,9,10,11,12,13,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,40,41,42,50,51,52,53,54,56,57,58,59,61,62,63,66,70,71,75],other_const:41,otherwis:[2,3,8,9,12,13,16,27,28,33,41,43,45,50,51,52,53,54,56,57,58,61,63,65,66,70,72],otim:10,our:[4,5,7,10,16,23,33,34,53],ouri:76,ourselv:[13,33],out:[8,16,23,28,41,51,52,53,56,57,58,59,65,70,74],outcom:[16,50,52,53,66],outdat:16,outer:[13,16,45,65],outperform:16,output:[2,3,4,10,13,16,23,32,41,50,51,52,53,58,59,63,65,70,74],output_valu:16,outputst:16,outsid:[3,9,10,11,12,16,27,37,39,40,42,52,53,58,59,65],ouvert:76,over:[2,3,10,13,16,23,24,25,26,27,29,31,33,36,37,38,39,40,41,43,45,51,52,53,57,58,59,60,61,63,65,66],overal:[50,53,63,74],overflow:[2,16,58,65,70],overhaul:16,overhead:[16,52,63],overlap:[5,16,41,45,52,56,58,65],overli:16,overlin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],overload:[16,23,24,70],overrid:[13,16,36,50,52,56,65,66,70],overridden:[16,26,53,56,70,74],overriden:16,overview:[16,24,70],overwrit:[51,63,65],overwritten:74,ovl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],ow:54,own:[5,16,23,24,34,41,43,53,56,58,59,61,65,66,74],owr:76,p0:[9,30,66,71],p1:[12,16,36,56,66],p2:[36,56,66],p2q:56,p:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],p_0:5,p_1:[5,7,33,34],p_2:[5,34],p_:[7,33],p_i:[7,33],p_j:[5,33],p_l:33,p_m:33,p_p:33,p_r:[33,34],p_rmin:16,p_u:33,p_unit:53,p_xy:56,pa:56,pab:56,pablo:16,pack:[3,41,52],packag:[16,23,24,34,41,50,51,58,66,72,74],packtyp:13,pad:56,page:[16,24,26,50,51,70,74],pain:56,pair:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],pair_eq:41,pair_eqcl:41,pair_eqti:41,pair_l:41,pair_lecl:41,pair_leq_compat:41,pair_leqmx:41,pair_leqti:41,pair_leti:41,pairusualdecidabletypeful:16,pairwis:56,palaiseau:16,palat:[16,54],pale:65,palmskog:16,pane:51,panel:[8,16,51,65],panic:54,paolo:16,paper:[12,23,41,53,56,71,76],par95:[9,76],par:[8,16,51,53],paradigm:23,paradox:[33,76],paragraph:[10,26,34,39,56,74],paral:16,parallel:[16,23,24,37,50,51,52,53,56,75],param:16,param_1:16,param_n:16,paramet:[3,4,5,7,8,12,13,16,23,24,27,28,33,36,39,40,42,43,52,53,54,57,58,59,63,65,66,70,71],parameter:[3,5,10,13,16,23,24,27,36,39,53],parametr:[16,23,24,33,39,63],parent:[9,16,23,76],parenthes:[2,3,8,16,23,27,28,34,36,45,53,54,56,57,66,70],parenthesi:[16,56,65],pari:[16,76],parimala:16,parith:[16,26],pariti:16,parm:70,parrai:[16,35],pars:[16,24,26,28,40,41,45,50,53,56,58,59,73,74],parse_entri:16,parser:[13,16,23,28,52,70],part:[2,3,10,12,14,16,23,24,26,28,33,34,36,45,50,51,52,53,54,56,57,65,66,70,71,72,73],parti:[16,50,51,52,58,74],partial:[3,12,16,23,33,34,36,43,50,52,53,56,58,61,65,70,71],particip:[16,56],particular:[2,3,6,9,11,12,16,28,29,30,31,32,33,36,37,39,41,51,52,53,54,56,58,59,63,65,70,74],particularli:[16,24,41,50,52,63,70],partit:[8,16],partition_as_filt:16,partli:[16,56],partner:16,pascal:16,pass:[3,5,8,11,16,23,36,41,50,51,52,53,54,56,59,63,65,66,70,74],past:[2,16,51,63],pat1:16,pat:[16,54],patch:16,patenaud:16,path:[2,4,5,16,23,24,26,34,50,51,53,59],pathnam:[50,52],patholog:2,patn:16,patrick:[10,23],pattern0:[27,39],pattern10:39,pattern1:39,pattern:[2,9,12,16,23,24,26,27,29,31,33,39,40,41,44,59,63,66,71,76],pattern_occ:[57,63],paul:16,paulin:[16,23,26,33,76],paulson:23,pautomata:23,pave:16,payload:26,pb:56,pc:10,pcan_in_comp:16,pcan_in_inj:16,pcm:16,pcompar:16,pcoq:23,pdf:[16,28,76],pe:10,peadd:[5,10],peak:[16,52,65],peano:[16,23,24,33,56,59,70],peano_dec:23,peanonat:[6,16,57,58],pec:[5,10],pedant:58,peeval:10,pemul:[5,10],pen:56,pennsylvania:[16,76],peopl:16,peopp:10,pepow:10,per:[2,3,10,16,23,51,52,56,58,70],per_symmetr:58,percentag:53,perf:[16,63],perfect:2,perfectli:2,perfetto:50,perform:[2,3,5,7,8,10,12,16,23,24,25,33,40,41,45,50,53,54,56,59,61,63,65,66,70,71],perfum:16,perhap:[51,52,57],period:[16,23,28,51,53,59,65],perm:53,perm_append:53,perm_aux:53,perm_con:53,perm_ind:53,perm_refl:53,perm_sind:53,perm_tran:53,permiss:[16,52],permit:[9,16,23,24,33,36,37,52,53,54,57,59,63,65,66,70],permtat:16,permut:[3,16,24,54,56],permutation_app:16,permutation_app_inv_m:16,permutation_app_middl:16,permutation_app_rot:16,permutation_app_swap_app:16,permutation_con:16,permutation_count_occ:16,permutation_elt:16,permutation_elt_map_inv:16,permutation_exist:16,permutation_flat_map:16,permutation_foral:16,permutation_forall2:16,permutation_imag:16,permutation_incl_cons_inv_r:16,permutation_ind_transp:16,permutation_list_max:16,permutation_list_sum:16,permutation_map_inv:16,permutation_middle2:16,permutation_morph_transp:16,permutation_permutation_transp:16,permutation_pigeonhol:16,permutation_pigeonhole_rel:16,permutation_refl:16,permutation_repeat:16,permutation_transp:16,permutation_transp_con:16,permutation_transp_equiv:16,permutation_transp_sym:16,permutation_vs_cons_cons_inv:16,permutation_vs_cons_inv:16,permutation_vs_elt_inv:16,permutsetoid:16,perri:16,persist:[9,16,23,34,35,37,63,76],person:23,perspect:[23,76],pertain:53,pervas:16,pesub:10,peter:[16,23],peterson:16,pex:[5,10],pexpr:10,peyton:76,pf_type_of:16,pf_unsafe_type_of:16,pfen:[16,23,76],pff:8,pfst:13,pg:[16,65],pgivesbound:8,phantom:41,phantom_ind:41,phantom_rec:41,phantom_rect:41,phantom_sind:41,phase:[16,23,51,53,54,56,63,71],phd:[23,76],phi:16,philosoph:10,phoni:[16,52],phrase:[24,70],physic:[16,23,34,50,52,58,74],physical_dir:23,phyumn5ooqtymh4h6i0nsskchnaysu:50,pi:[12,16,51],pi_:27,pichardi:[71,76],pick:[16,41,50,51,52,56,57,65,66],pictur:16,pide:16,pident:13,piec:[10,41,42,52,54,56],piecewis:16,pierc:16,pierr:[2,16,23,76],pile:56,pinf:26,pinj:10,pink:51,pinot:16,pinpoint:56,pioneer:23,pipe:16,pise:23,pit:16,pittsburgh:76,pivot:5,pk:[13,56],pkg:[52,58,74],pl:54,place:[2,3,16,31,39,42,50,52,56,57,58,63,65,66,70,74],placehold:[16,42,43,50,56,57,65,70],plai:[2,16,25,41,63,65],plain:[16,34,56,74],plainli:54,plan:[16,24,52,54,71],plane:[16,23,24],platform:[16,23,35,50,52,53,71],pleas:[16,23,43,52,53,61,65,66,71,76],plu:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],plug:58,plugin:[2,5,10,11,16,23,24,28,32,34,52,53,54,58,62,65,70,71],plugin_tutori:[16,62,73],plumb:66,plural:[16,27,37],plus1:70,plus_equ:[56,71],plus_fct:40,plus_ind:[56,71],plus_ipr:16,plus_n_o:[26,58],plus_n_sm:[26,58],plus_o_n:58,plus_rec:[56,71],plus_rect:[56,71],plus_sn_m:58,pm89:[23,76],pm93a:[30,76],pm93b:[23,76],pm:56,pmult:16,pmult_comm:16,pn:[12,16,56],pnormal:26,po:[16,23,58,70],point:[2,3,10,12,16,23,24,25,26,31,33,34,35,38,50,51,52,53,54,56,65,70],pointer:[23,25],pointless:56,pointwis:3,pointwise_rel:3,pol:10,polici:[16,56,73],pollack:23,polylist:23,polymorph:[2,3,12,16,23,24,25,26,28,29,30,31,32,36,38,39,40,43,45,50,58,65,66,70],polynom:10,polynomi:[5,7,16,23,24,60],ponen:57,pool:[16,61],poor:16,poorli:[42,53],pop:[56,70],popl:76,popul:28,port:[3,16,23,53,54,71],portion:[16,56],pos_neg_int63:70,pos_sub:16,pose:[5,16,23,33,53,54,56,57,66],posit:[3,4,5,7,10,13,16,23,24,26,29,35,36,38,40,43,45,50,51,53,54,56,57,58,63,65,66,70],position:[2,57],positive_as_ot:16,positive_scop:[26,70],positivstellensatz:[16,24],posreal:16,possibl:[2,3,4,5,8,9,10,12,13,16,23,26,27,30,33,34,36,40,41,42,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,72,73,74],post:[16,23,52,56],postfix:[16,56],postpon:[16,57,65],postprocess:10,postscript:74,postul:27,potenti:[9,12,24,41,45,51,53,54,56,66,70],pottier:[7,16,23,56],poulin:16,poulsen:16,pow:[5,16,26],pow_div_l:58,pow_inv:16,pow_ipr:16,pow_n:10,pow_po:[16,70],power:[4,5,10,16,23,26,53,56,66,70,71],power_theori:10,powerrz:16,powerrz_inv:16,powerrz_mult:16,powerrz_neg:16,powerset:33,pp:[16,52],ppair:13,pphi_dev:10,pphi_dev_ok:10,ppm89:[23,76],pprod:13,pqequiv:56,pr1:13,pr2:13,pr:16,pr_numgoal:53,pr_p:56,practic:[2,3,5,8,16,23,24,31,33,38,41,52,54,56,57,63,65,70,76],pre:[2,16,24,52,59],preambl:74,preced:[16,24,26,28,45,53,56,57,59,65,74],preceed:63,precis:[4,8,12,16,23,25,28,30,32,33,34,36,38,45,50,56,63,70],precisionnotzero:8,precompil:[16,24,50,63],precondit:57,pred:[9,16,26,53,56,58,59],pred_class:16,pred_doubl:16,pred_n:16,pred_oapp:16,pred_sn:26,pred_sort:16,predecessor:26,predefin:[10,23,24,50,51,65],predic:[3,9,16,23,24,25,26,29,33,39,41,53,63,76],predict:[8,13,16,54,63],predtyp:16,preexist:16,prefer:[7,16,24,33,50,52,56,57,58,61,65,70],preferenti:70,prefix:[2,3,9,10,13,16,23,26,27,33,34,37,39,40,43,50,51,53,56,57,58,63,65,66,70,74],preformat:74,preimag:16,preliminari:10,prelud:[2,16,24,28,50,65],premis:[16,23,27,34,56,59,65],prenex:56,preomega:16,preorder:[12,56,58],preorder_reflex:[12,58],preorder_transit:12,prepar:[16,23],prepend:[50,52,65],preproccess:16,preprocess:[10,16],preprocessor:[10,23],prerequisit:[16,52],presburg:23,prescrib:56,presenc:[8,16,23,33,43,45,56,63,71],present:[2,3,6,9,10,12,14,16,23,24,25,28,29,31,32,33,36,40,41,43,44,45,49,52,53,54,56,57,58,59,60,62,63,64,65,66,70,72,73,74,75],preserv:[2,5,13,16,23,28,29,33,41,54,56,63,66,70],press:[51,76],pressur:59,presum:[16,70],presuppos:[5,74],preterm:[9,16,54],pretti:[16,23,24,26,50,52,56,58,70],pretyp:[16,50,54],prevail:33,prevent:[12,16,28,33,40,41,50,52,53,56,63,70],preview:[2,51],previou:[2,3,4,8,9,10,12,14,16,23,26,28,30,33,36,39,44,45,50,51,52,53,54,56,58,61,63,65,66,70,73],previous:[12,16,27,33,37,51,53,56,58,70],prf_equiv:41,prim2sf:[26,35],prim:[16,70],primari:[51,53],primarili:[31,33,57,65],prime:[3,16,28,33,56],prime_decomp:56,prime_i:56,primfloat:[16,26,35,58,70],primfloatnot:16,primint63:[35,58,70],primit:[2,11,12,13,16,23,24,26,29,32,33,45,53,54,56,66],princ:16,princeton:16,princip:[16,23,33,56,71,76],principia:23,principl:[2,5,16,23,24,26,29,33,36,50,56,57,62,63,70,76],print:[2,5,6,8,10,11,12,16,23,24,26,28,30,33,34,35,37,38,40,41,50,51,52,56,57,59,61,63,65,66],print_list:54,printabl:[54,70],printconf:58,printer:[16,23,28,45,56,58,70],printf:16,prior:[16,50,53],prioriti:[8,12,16,36,45,51,56,58,65,70],privat:[12,13,16,24,28,29,33,36],private_:[16,58],probabl:[2,16,31,43,50,53,54,56,57,58,74],problem:[2,4,7,9,12,16,23,28,33,41,43,45,50,51,52,53,57,61,65,66],problemat:[39,54],proc:76,proce:[3,10,12,51,56,70],procedur:[3,4,10,16,23,24,53,56,59,61,63,76],proceed:[57,76],process:[9,10,13,16,23,24,25,29,31,34,40,41,50,51,52,54,56,57,58,59,63,65,66,74,75],processor:[16,26,35],prod:[2,16,25,26,33,45,61,66],prod_:56,prod_appvect:16,prod_curri:16,prod_curry_uncurri:16,prod_eqb:12,prod_eqb_obligation_1:12,prod_f_r0:16,prod_f_so:16,prod_ind:[26,33],prod_monoid:13,prod_of_sigt:16,prod_rec:[26,33],prod_rect:[26,33],prod_sigt_prod:16,prod_sind:[26,33],prod_uncurri:16,prod_uncurry_curri:16,prodimp:25,prodt_curri:16,prodt_uncurri:16,produc:[2,5,7,8,9,10,12,13,16,23,24,28,31,33,35,37,39,40,43,51,52,53,54,56,63,65,70,71,72,73,74],product:[2,3,5,10,12,13,16,23,25,26,27,33,35,38,39,45,53,54,56,58,59,63,65,66,70],prof:52,profil:[5,16,24,52,63],program:[0,1,3,4,5,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],program_branch_0:[9,12],program_branch_1:[9,12],program_branch_2:12,program_scop:16,program_simpl:9,programm:[3,23,24,64],programmat:12,progress:[3,16,23,24,50,51,54,65,76],progress_evar:16,proj1:[26,65],proj1_sig:[16,45,56],proj2:26,proj:[16,23,53],project:[3,9,11,12,13,14,16,23,24,26,28,29,33,39,41,50,51,53,54,56,58,71,72,73,75],projections2:26,projs1:23,projs2:23,projt1:[16,26],projt2:26,projt3_eq:16,prolog:[16,23,59],prompt:[16,23,51,53,58],prone:[54,56],proof:[2,3,6,7,9,10,12,16,23,25,26,28,29,32,33,35,36,37,38,39,41,42,43,50,51,52,54,58,60,61,63,66,71,72,73,74,75,76],proof_admit:16,proof_irrelev:33,proofgener:52,prooftre:[16,58,65],proofview:54,prop:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],propag:[3,10,16,40],propbinop:5,proper:[3,9,16,23,54,58,66],proper_prf:16,properli:[2,8,9,16,28,51,52,56,58,65],properti:[3,4,6,9,10,11,12,16,23,24,25,26,29,30,31,33,37,38,41,44,45,56,57,66,71,76],propextension:16,propop:5,proport:63,propos:[16,23,33,53],proposit:[2,3,5,16,23,24,25,27,28,29,30,31,32,33,38,39,50,56,57,61,63,65,66,76],propositionnel:76,propr:23,propuop:5,prose:16,protect:[10,16,29,56],protocol:[16,76],protonmail:16,prototyp:[9,16,23],provabl:[5,10,16,33,38,56,57,65],prove:[3,5,7,8,9,10,16,23,24,26,29,31,33,34,41,42,56,57,59,61,63,66,71,76],proven:[10,16,51,57,63,65,66],prover:[5,16,23,24,54,64],provid:[2,5,6,7,8,9,10,11,12,13,14,15,16,23,24,25,26,28,29,31,32,33,34,35,36,40,41,42,43,50,51,52,53,54,56,57,58,59,61,62,63,64,65,66,70,71,72,73,74],provis:61,prune:[37,56],ps:74,psatz:[16,24],psatzadd:5,psatzc:5,psatzin:5,psatzmul:5,pseudo:[16,56,59],psnd:13,psubn:26,publi:76,public_nam:52,publicli:16,publish:[23,52,76],puech:16,puf:76,pull:[16,54],pun:[16,54],punctuat:[70,74],pure:[3,7,10,16,54,56,63,70,71,74],purifi:16,purpos:[8,11,13,16,23,26,33,34,41,50,51,53,54,56,58,65,66,70],push:[2,56,70],put:[3,5,12,13,16,34,42,50,52,53,56,57,58,59,65,66,70,71,74],putnam:23,puzzlement:23,pv:[9,76],pwd:2,px:[10,23,56],py:16,python2:16,python3:16,python:[16,52],pzero:26,q1:[5,12,45,56],q2:[5,56],q2p:56,q2r:[5,56],q3:56,q4:56,q:[2,3,5,7,10,11,16,23,26,33,34,45,50,52,53,54,56,57,58,66,70,74],q_1:[7,33],q_:7,q_factordenom:16,q_factornum:16,q_factornum_l:16,q_i:[7,33],q_l:33,q_occurr:54,q_orient:54,q_r:33,q_reduce_fl:16,q_rewrit:54,q_scope:[5,70],q_u:33,q_with_bind:54,qarchimedean_power2_po:16,qarchimedeanexp2_po:16,qarith:[5,16],qarith_bas:16,qc:70,qc_scope:70,qcanon:10,qden:16,qden_cancel:16,qed:[3,5,6,8,9,11,12,13,16,23,28,31,33,35,37,39,41,50,51,53,56,57,58,59,61,63,65,66,71],qeq_from_part:16,qeval_formula:5,qextra:16,qhyp:54,qinv_neg:16,qinv_po:16,qinv_swap_neg:16,qinv_swap_po:16,qle_neq:16,qlt_leneq:16,qm:12,qmicromega:5,qmult_frac_l:16,qmult_inject_z_l:16,qmult_inject_z_r:16,qmult_le_lt_compat_po:16,qmult_lt_le_compat_nonneg:16,qnum:16,qnum_cancel:16,qopp_lt_compat:16,qpower_0_lt:16,qpower_1_l:16,qpower_1_le_po:16,qpower_1_lt:16,qpower_1_lt_po:16,qpower_decomp:16,qpower_decomp_po:16,qpower_le_1_increas:16,qpower_le_compat:16,qpower_le_compat_inv:16,qpower_le_compat_l:16,qpower_le_compat_l_inv:16,qpower_lt_1_increas:16,qpower_lt_compat:16,qpower_lt_compat_inv:16,qpower_lt_compat_l:16,qpower_lt_compat_l_inv:16,qpower_pos_lt:16,qr:45,qreduce_l:16,qreduce_num_l:16,qreduce_r:16,qreduce_zero:16,qround:16,qtautocheck:5,qtautochecker_sound:5,quad:5,quadrat:[2,16],qualid:[2,4,5,10,12,13,16,28,34,36,38,39,40,41,45,50,53,54,56,58,59,61,63,65,66,70,71,73],qualid_annot:[27,28,43],qualifi:[2,16,23,24,27,31,50,52,53,54,56,57,58,63,65,70],qualiti:[13,16],quantif:[2,3,4,12,13,23,25,26,27,59,66],quantifi:[8,13,16,23,24,25,27,33,38,43,56,57,61,66],quarkcool:16,quasi:56,quentin:16,queri:[16,24],query_command:[28,58,63],query_extra_dep:58,question:[24,33,53,54,56,59,65],quick:[8,12,16,23,26,53,56,65],quickli:[8,15,16,24,43],quicksort:23,quiet:74,quinn:16,quirk:51,quit:[2,3,10,12,16,24,33,41,53,54,56,59],quo_rem_un:56,quodlibet:[16,57],quot2:16,quot:[2,5,16,23,24,27,28,43,50,54,58,65,70,74],quot_rem:16,quot_rem_to_equ:[5,16],quotat:[16,23,24,65,74],quoted_str:52,quotient:[2,5,16,39,56,63],qux_plugin:52,qwit:5,qzero_eq:16,r0:[5,16],r1:[3,5,16,26,40,43,56,58],r2:[3,16,26,40,43,56,58],r3:56,r4:56,r:[2,3,5,7,9,10,12,13,16,23,26,27,33,34,36,40,43,50,52,53,56,57,58,63,66,70,71,74,76],r_1:3,r_2:3,r_dist:16,r_forest_size_complet:71,r_forest_size_correct:71,r_ifp:16,r_inj:16,r_item:56,r_pattern:56,r_plus_complet:[56,71],r_plus_correct:[56,71],r_prefix:56,r_s_inv:27,r_scope:[10,26,70],r_sqr:23,r_step:56,r_tree_size_complet:71,r_tree_size_correct:71,ra:12,rab:26,rabs_inv:16,race:16,raci:16,radboud:16,radd:10,radd_0_l:10,radd_assoc:10,radd_sym:10,radicalmax:7,radix3:70,radix3_ind:70,radix3_rec:70,radix3_rect:70,radix3_scop:70,radix3_sind:70,radix:[8,65],radixmorethanon:8,radixmorethanzero:8,radixnotzero:65,radziuk:16,railroad:23,railroadcross:23,rais:[2,3,12,16,28,34,53,54,63,71],rakam:[16,63],ralf:16,ram:16,ramachandra:16,ramkumar:16,ran:53,ranalysi:[16,23],ranalysis_reg:16,rand:16,randi:23,random:16,randomli:16,rang:[5,16,25,28,51,54,57,70],range_selector:53,rappli:[16,57],rard:76,rare:[10,16,65],rasmusson:16,rat:36,rat_bottom_nonzero:36,rat_irreduc:36,ratan:16,rather:[5,10,12,16,23,28,29,33,34,52,53,54,56,57,58,63,66,70],ratio:23,ration:[7,16,23,24,36,60,70],rational:[16,54,56],rauglaudr:[16,23],raw:[2,16,53,54,70],raxiom:16,rb:12,rbase:[10,16,23],rbox:11,rc:[16,23],rceil:5,rcl:33,rcomput:23,rdefinit:16,rdist:16,rdistr_l:10,rdiv:[3,5,26],rdiv_0_l:16,rdiv_0_r:16,rdiv_1_l:16,rdiv_1_r:16,rdiv_def:16,rdiv_diag:16,rdiv_diag_eq:16,rdiv_diag_uniq:16,rdiv_eq_compat_l:16,rdiv_eq_compat_r:16,rdiv_eq_reg_l:16,rdiv_eq_reg_r:16,rdiv_mult_distr:16,rdiv_mult_l_l:16,rdiv_mult_l_r:16,rdiv_mult_r_l:16,rdiv_mult_r_r:16,rdiv_neg_neg:16,rdiv_neg_po:16,rdiv_opp_l:16,rdiv_opp_r:16,rdiv_pos_cas:16,rdiv_pos_neg:16,rdiv_pos_po:16,re:[16,23,28,31,37,45,50,51,52,53,54,57,58,63,65],reach:[12,51,57],reachabl:70,reactiv:[8,16,58],read:[14,16,25,28,41,50,51,56,58,63,70,74],readabl:[2,16,23,28,52,56,63,70,74],reader:[3,10,23,28,30,41,56],readi:[16,50,56,59],readili:52,readm:[23,70],real:[2,3,7,10,23,24,33,45,52,65,66,70],realfield:10,realist:[2,41],realiz:[23,24,26,31],realli:[16,31,56],reappli:9,reason:[2,3,5,9,10,16,23,24,33,43,50,52,53,54,56,58,61,64,70,71,74,76],rebind:[5,16],rebuild:[12,16],rebuilt:52,rec:[2,16,23,34,53,54,74],recal:[45,54,63],recaptur:16,recdef:71,recent:[3,8,23,24,52,70],recheck:65,recip:[16,52],recogn:[2,4,5,8,10,16,23,28,33,45,50,51,54,61,66,70,74],recognit:[16,74],recommend:[4,8,12,13,14,16,31,34,45,50,51,52,53,54,56,57,58,59,63,65,66,71,73,74],recompil:[16,50,51,52,58,63],recomput:[33,52],reconstruct:[36,45],record:[2,3,8,10,11,12,13,16,23,24,29,32,33,41,53,54,56,58,59,61,66,70],record_definit:[4,12,29,33,36],record_field:[36,41],recov:[3,8,13,16,29,45,50,53,66],recover:54,recoveri:[8,16,51],rect:66,rectyp:16,recurr:24,recurs:[2,5,8,9,16,23,24,30,31,32,36,39,40,43,45,50,52,53,56,57,58,59,63,65,66,74,76],recursor:16,red:[8,16,50,51,53,63,65],red_expr:[3,16,31,53,63],red_flag:16,redeclar:[12,16],redefin:[4,16,53,54,56,65,70,74],redefinit:[16,53],redesign:[16,23],redex:[2,16,24,30,33,63,70],redflag:16,redirect:[16,58,74],redo:[16,51,56,66],reduc:[3,7,8,10,11,12,16,23,25,30,31,33,35,36,39,40,43,50,52,56,57,58,59,63,65,66,70],reduce_and_try_to_solv:53,reduct:[2,3,9,10,11,16,24,25,29,31,35,40,43,45,50,52,56,57,66,76],redund:[16,23,42,45,56],redux:2,ref:[16,58],refactor:[16,63],refer:[2,3,4,5,8,12,13,15,23,24,27,28,30,31,33,34,35,36,37,38,40,41,43,45,49,50,51,52,54,56,57,59,61,63,65,66,70,71,74],referenc:[52,70],reference_occ:63,refglob:54,refin:[6,12,13,16,23,26,29,31,33,34,37,42,45,51,53,54,56,57,65,70],refl:[3,16],refl_eq:23,refl_equ:[3,16,56],refl_ident:26,reflect:[9,10,13,16,23,24,26,39,51,52,61,63,65,71,76],reflect_fals:56,reflect_tru:56,reflectf:39,reflectt:[39,56],reflex:[3,5,6,10,12,16,23,26,33,35,50,53,56,58,59,61,63,65,66,70],reflexion:23,reflexive_eq_dom_reflex:58,reflt:45,refman:16,refold:[16,63],reform:16,reformat:16,refrain:16,refresh:70,refrom:[16,50],refus:[2,3,63],refut:[24,56],regard:[3,13,16,50,57],regardless:[13,16,56,65],regener:52,regexp:[16,59],region:56,regist:[2,3,4,5,7,9,10,12,16,24,31,41,56,63,66,70,71],registr:[16,24],regress:[8,16],regroup:16,regular:[9,12,16,35,45,50,54,56,59,63,74],regularli:16,rehaul:23,reifi:[5,16],reific:[7,16,63],reimplement:16,reimport:70,reinfer:43,reintroduc:[16,56],reject:[9,16,25,33,56,63,66,70],rel:[2,16,25,26,34,50,52,54,58,70],relat:[5,6,7,9,10,12,13,16,23,24,25,26,30,33,34,39,40,41,43,50,51,52,56,57,58,59,63,66,70,71,74],relation_definit:[3,12,16,58],relation_oper:16,relationclass:[3,16,63],relationship:[16,28],relaunch:16,relax:[2,16,29,43,52,56,59],releas:[12,14,16,23,24,50,51,52,56,73],releg:23,relev:[11,16,23,27,29,31,33,39,45,50,52,53,56,57,63,65,70],reli:[5,16,23,29,31,32,33,37,45,50,51,52,54,56,57,58,63,65,70],reliabl:16,relianc:16,reliev:23,reload:[50,58],reloc:23,relpr:16,rem:[5,16],remain:[2,3,9,10,12,13,16,23,33,38,40,41,43,45,51,56,57,65],remaind:[16,33,54],remap:70,remark:[4,16,23,24,31,33],remedi:[5,16],rememb:[16,51,56,57,74],remind:[2,3,56],remot:[16,51],remov:[2,3,4,5,10,13,16,23,28,30,36,40,45,50,51,52,54,56,57,58,59,65,66,70,71,73,74],remove_app:16,remove_con:16,remove_concat:16,remove_incl:16,remove_length_l:16,remove_length_lt:16,remove_remove_comm:16,remove_remove_eq:16,removelast_firstn_len:16,removelast_last:16,renam:[2,16,23,24,33,36,54,56,57,58,70,73],renard:[3,23],render:[16,23,74],renewcommand:74,renn:76,reopen:51,reorder:[16,24,51],reorgan:16,repair:[11,16],repars:[16,53,70],repeat:[3,16,24,42,43,51,54,56,57,58,65,66],repeat_app:16,repeat_con:16,repeat_eq_app:16,repeat_eq_con:16,repeat_eq_elt:16,repeat_to_concat:16,repeatedli:[16,30,56,70],repect:57,repetit:[24,53],replac:[2,3,4,7,9,10,12,16,23,24,27,30,31,33,36,40,42,43,45,50,51,52,53,54,56,57,58,61,63,65,66,70,73,74],replace_append_l:16,replace_append_r:16,replace_id:16,replace_replace_eq:16,replace_replace_neq:16,replace_with:54,replai:[10,56],replic:56,repo:52,report:[4,8,11,16,23,28,51,53,54,58,63,71,76],repositori:[16,52,62,73],repr:16,repres:[2,3,5,10,12,13,16,23,25,26,27,28,31,33,35,36,38,39,41,42,50,51,52,53,54,56,57,58,63,64,65,66,70],represent:[2,3,5,10,11,16,23,26,28,33,36,50,52,56,63,70],reprint:[16,65],reprocess:[51,53],reproduc:43,req:10,req_dec_t:16,req_em_t:16,request:[3,13,16,24,42,50,63],requir:[2,3,5,6,7,8,9,10,12,13,16,23,26,27,28,29,30,31,33,34,35,37,41,42,43,50,51,52,53,54,56,57,58,59,61,62,63,65,66,70,71,72,73,74],required_vo:50,rerun:5,resack0:59,research:[23,76],resembl:56,reserv:[16,24,26,28,34,39,53,56,58],reserv_list:43,reset:[2,16,23,28,29,33,39,45,50,51,53,58,71],resg0:59,resg1:59,residu:[16,56],resili:[16,24],resilient_command:16,resiz:16,resolut:[3,12,16,23,24,57,59,65,74],resolv:[9,12,13,16,34,42,51,54,56,57,58,59,63,65,66,70],resolve_tc:16,resort:[42,51,53,54,66],resourc:50,resp:[5,16,33,35,45,56],respect:[2,3,4,5,8,10,12,13,16,23,25,26,29,33,37,39,41,43,51,53,54,56,57,58,59,63,65,66,70,71,73,74],respons:[2,16,51,54,74],rest:[2,3,12,16,25,26,28,35,41,51,56,65],restart:[16,50,51,52,53,56,65],restart_tim:[16,53],restor:[16,28,53,56,65],restrict:[2,3,9,11,13,16,23,25,33,34,39,50,53,56,57,58,59,61,66,70],restructur:[16,23],result:[2,3,4,5,8,10,11,12,13,16,23,25,26,30,31,33,38,39,41,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,74],resum:16,ret:53,retain:16,retract:16,retri:53,retriev:[16,50,53,58,59,76],retro:16,retyp:16,reunion:76,reus:[13,16,40,56,57,58,62,63,65],reusabl:24,rev:[26,70],rev_con:16,rev_eq_app:16,rev_inj:16,rev_nil:16,rev_repeat:16,rev_rev:16,rev_shiftin:16,revamp:16,revers:[7,14,16,24,26,40,56,57,65],reverse_coercion:[4,16],reversecoercionsourc:4,reversecoerciontarget:4,revert:[16,51,56,57,58],revgoal:16,review:[2,16,26],revis:[16,23,54],revisit:66,revolutionari:23,rew:[16,66],rew_iff_rev:56,rework:16,rewrit:[6,10,13,16,23,24,33,34,51,53,54,57,59,60,76],rewrite_occ:[3,63],rewrite_strat:[3,16],rewriterel:[3,16,56],rewritten:[3,9,10,23,29,45,56,57,63],rewrot:[10,16],rewstrategi:[3,16],rewstrategy0:3,rewstrategy1:[3,16],rexists_between:16,reynald:16,rfloor:5,rfrom:[16,50],rfunction:23,rgb:50,rge:[16,26],rge_gt_or_eq:16,rge_gt_or_eq_dec:16,rge_l:16,rge_lt_dec:16,rge_refl:16,rgeom:23,rgt:[16,26],rgt_le_dec:16,rgt_minus_po:16,rgt_or_l:16,rgt_or_not_gt:16,rh:[16,54,56,58],ri:[10,16,50],ribbon:51,rich:[9,16,56,72],richard:16,richer:[12,24],ricki:16,rid:[9,16,53,56],rideau:[16,56],rieg:16,rifrom:[16,50],right:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],righta:70,rightarrow:[5,7,25,74],rightarrow_:[10,36],rigid:[3,12,13,16,23,59,71],rigor:[2,23],rin:16,rineq:16,ring31:16,ring:[7,16,23,24,26,36,60,61],ring_eq_ext:10,ring_mod:10,ring_morph:10,ring_plugin:[3,5,9,10,26,28,35,41,42,53,54,56,57,58,59,63,65,71],ring_polynom:10,ring_simplifi:[10,16],ring_theori:10,ringer:16,ringmicromega:5,rinv:[5,26],rinv_0_lt_contravar:16,rinv_div:16,rinv_eq_compat:16,rinv_eq_reg:16,rinv_inv:16,rinv_lt_0_contravar:16,rinv_mult:16,rinv_mult_simpl:16,rinv_neg:16,rinv_opp:16,rinv_po:16,rinv_r_simpl_l:16,rinv_r_simpl_m:16,rinv_r_simpl_r:16,ripault:16,rise:[12,23],risk:[16,23,50,58,65],rl:33,rle:[16,26],rle_epsilon:16,rle_gt_dec:16,rle_half_plu:16,rle_lt_or_eq:16,rle_or_gt:16,rle_or_not_l:16,rle_rinv:16,rlength:16,rlist:16,rlogic:16,rlt:[16,26],rlt_0_2:16,rlt_0_minu:16,rlt_ge_dec:16,rlt_half_plu:16,rlt_minus_0:16,rlt_monotony_contra:16,rlt_monotony_rev:16,rlt_or_g:16,rlt_or_not_lt:16,rlt_rminu:16,rmin_cas:16,rminu:[5,26],rminus_def:16,rminus_diag:16,rminus_eq_0:16,rminus_eq_compat_l:16,rminus_eq_compat_r:16,rminus_gt_0_lt:16,rminus_plus_distr:16,rminus_plus_l_l:16,rminus_plus_l_r:16,rminus_plus_r_l:16,rminus_plus_r_r:16,rmp:57,rmul:10,rmul_1_l:10,rmul_assoc:10,rmul_sym:10,rmult:[5,10,26],rmult_div_assoc:16,rmult_div_l:16,rmult_div_r:16,rmult_div_swap:16,rmult_gt_reg_r:16,rmult_inv_l:16,rmult_inv_m_id_r:16,rmult_inv_r:16,rmult_inv_r_id_l:16,rmult_inv_r_id_m:16,rmult_inv_r_uniq:16,rmult_neg_cas:16,rmult_neg_neg:16,rmult_neg_po:16,rmult_pos_cas:16,rmult_pos_neg:16,rmult_pos_po:16,rnm:57,ro:10,road:16,roadmap:16,robbert:16,robbiano:76,robert:[16,76],robin:[16,76],robinson:23,robust:[2,16,50,56,59,65,74],robustli:63,rocquencourt:[16,23],rodi:16,rodolph:16,roi:[53,61,76],role:[16,25,32,41,54,70,74],romega:[16,23],root:[3,16,24,26,45,50,58],ropp:[10,26],ropp_def:10,ropp_div:16,ropp_div_distr_l:16,ropp_eq_reg:16,ropp_minus_distr:16,ropp_neg:16,ropp_po:16,roquencourt:23,ros98:[9,76],rosetta:53,rosser:76,rotat:[23,53,56],round:[5,16,26,52],rousselin:16,routin:2,roux:16,row:[16,45],rplu:[5,26],rplus_0_l_uniq:16,rplus_eq_0:16,rplus_eq_r0:16,rplus_ge_reg_r:16,rplus_gt_reg_r:16,rplus_int_part_frac_part:16,rplus_le_lt_0_neq_0:16,rplus_minus_assoc:16,rplus_minus_l:16,rplus_minus_r:16,rplus_minus_swap:16,rplus_neg_lt:16,rplus_neg_neg:16,rplus_neg_npo:16,rplus_nneg_g:16,rplus_nneg_nneg:16,rplus_nneg_po:16,rplus_npos_l:16,rplus_npos_neg:16,rplus_npos_npo:16,rplus_pos_gt:16,rplus_pos_nneg:16,rplus_pos_po:16,rplus_sqr_eq_0_l:16,rpow:10,rpow_pow_n:10,rpower:16,rr:76,rrika:16,rs:16,rs_r:16,rsa:23,rsigma:23,rsqr:16,rsqr_def:16,rsqr_div:16,rsqr_inv:16,rstar:[16,23],rstep:56,rstrength:16,rsub:10,rsub_def:10,rta:76,rtac:54,rtauto:[16,61],rtran:57,rtrigo:23,rtrigo_calc:16,rudi:16,rudimentari:70,rug:54,rule:[3,4,5,10,11,12,13,16,23,24,28,31,32,34,35,36,38,40,41,43,45,50,52,53,54,57,58,59,61,65,66,76],run:[2,5,8,9,12,13,16,23,24,28,50,52,56,58,59,63,65,70,72],runbox:11,runtim:[16,50,54,72],rushbi:76,russel:[9,16,23],rusu:71,rwf:26,ryan:16,s0:[42,45],s1:[3,29,37,56],s2:[3,29],s754_finit:26,s754_infin:26,s754_nan:26,s754_zero:26,s:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],s_1:[7,33,34],s_2:[33,34],s_3:34,s_:[7,33],s_i:[5,7,33],s_item:56,s_j:33,s_k:33,s_nat:4,s_o_plus_inr_depr:16,sacerdoti:[3,16,23],safe:[2,10,16,33],safeimplicit:2,safer:[16,23],sai:[2,3,4,16,23,25,26,27,28,30,33,41,51,52,53,54,56,57,63,70,73],said:[3,4,16,25,33,35,41,43,54,58,70],saikawa:16,sakaguchi:16,sake:[34,54,65,70],salient:[16,23],sam:[16,76],same:[2,3,4,8,9,10,11,12,13,16,23,24,25,27,28,29,30,33,34,35,36,37,39,40,41,42,43,50,51,53,54,56,57,58,59,61,63,65,66,70,71,74],samuel:[10,16,23],san:74,sandrin:76,santiago:16,satifi:33,satisfi:[3,4,5,8,10,12,13,16,29,33,34,53,54,58,63,66,70],satur:[5,16],save:[8,10,16,24,34,50,52,56,65],saw:23,sc:23,scale:[16,23,50,56,63,70],scan:53,scene:56,schedul:[8,16],schema:23,schemat:[51,56],scheme:[2,10,16,23,24,25,26,33,36,39,45,50,56,58,61,76],scheme_kind:66,scherer:16,schneider:16,schommer:16,schroeder:23,scienc:[23,76],scientif:[23,76],scinart:16,scope:[5,10,16,23,24,26,28,31,35,37,41,42,44,51,53,54,56,58,59,63,65],scope_kei:[39,54,58,63,70],scope_nam:70,scott:[16,23],scratch:51,screen:[16,51,58],screenshot:[51,65],script:[5,8,16,23,24,34,41,42,52,53,54,56,57,58,59,62,63,65,72],scrutine:16,sdf:76,seamlessli:52,search:[2,3,4,5,7,12,16,23,24,41,43,50,51,52,60,61,63],search_item:58,search_queri:58,searchabout:[16,23],searchhead:16,searchiso:23,searchpattern:[16,23],searchrewrit:[16,23],sebastiaan:76,sec:[52,53,63],second:[2,3,4,6,8,9,10,12,14,16,23,24,25,27,34,36,37,39,41,43,50,51,52,54,56,58,59,63,65,66,70,74],secondari:[51,52],secondli:[2,16],section:[3,6,7,8,9,10,11,16,23,24,25,26,27,28,29,30,31,32,33,34,35,36,39,40,41,42,45,50,51,52,53,54,56,57,58,59,63,64,66,70,73],section_path:58,section_var_expr0:65,section_var_expr50:65,section_var_expr:[59,65],secur:50,see:[2,3,4,5,7,8,9,10,11,12,13,16,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],seem:[2,5,16,70],seemingli:70,seen:[2,4,12,13,16,23,31,33,54,56,66,70],seg:23,segfault:16,segment:[2,23,51,58,70],seldin:76,select:[8,12,16,24,34,36,40,41,51,52,53,54,57,58,59,63,65,66,70,74,76],selector:[8,16,24,42,52,57,58,63,65],self:[13,16,53,54,66,70],selfid:13,selfpid:13,semant:[3,10,12,13,16,23,24,25,28,34,35,38,40,43,52,53,56,57,70,76],semeria:16,semi:[4,10,16],semi_field_theori:10,semi_morph:10,semi_ring_theori:10,semicolon:[51,52,56],semidecis:23,semifield:10,semir:[10,16],sempti:11,sempty_ind:11,sempty_rec:11,sempty_rect:11,sempty_sind:11,send:16,sens:[4,23,25,29,53,54,56,70],sensibl:[13,23],sensit:[16,23,28,58],sent:51,sentenc:[16,23,28,35,51,53,54,56,58,74],sentence_1:23,sentence_n:23,sep:70,separ:[2,3,13,16,23,24,25,28,32,33,34,39,43,45,50,51,52,53,54,56,57,58,66,70,73],septemb:[16,23,76],seq:[11,12,29,45,54,56,66],seq_:16,seq_ind:[11,45],seq_rec:[11,45],seq_rect:[11,45],seq_sind:[11,45],seqseri:23,sequenc:[2,3,5,16,23,24,26,27,28,29,45,50,56,57,58,59,63,65,70,74],sequent:[53,56,57,61,76],sequenti:[16,53,54,57,63],serapi:28,sergei:16,seri:[24,26,28,34,53,56],serial:[57,66],serif:74,seriou:[16,70],serv:[16,23,24,25,39,54,56,59],server:[16,51],session:[2,16,50,51,58],set1:25,set2:25,set:[0,1,3,4,5,6,7,8,9,10,11,13,14,15,16,17,18,19,20,21,22,23,24,26,27,29,30,31,32,33,34,35,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,58,60,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76],set_diff_nodup:16,set_eq:3,set_map:16,set_p:33,seth:16,setistyp:16,setoid:[7,10,16,23,24,41,56],setoid_:[3,16],setoid_reflex:16,setoid_replac:[16,23,63,70],setoid_rewrit:[3,16,23,59,63],setoid_symmetri:16,setoid_theori:[10,16],setoid_transit:16,setoidchoic:16,setoidlist:16,setoidpermut:16,setoidtact:[16,70],setting_nam:[28,50],setup:[16,24],seventh:76,sever:[2,3,4,5,10,16,23,24,25,27,28,29,30,31,33,39,41,43,45,50,51,53,54,56,58,59,63,64,66,70,71,74,75],sf64mul:[26,35],sf:71,sf_1_neq_0:10,sf_sr:10,sfclassifi:16,sfdiv_def:10,sfinv_l:10,sfst:11,shachar:16,shachnev:16,shade:51,shadow:[13,16,43,65],shaji:16,shall:[16,23,25,30,33,38,41,56,70],shankar:76,shao:76,shape:[2,3,56],share:[10,12,13,16,23,27,28,33,45,50,51,52,56,58,59,63,66,70],she:[23,54],sheet:74,shelf:[16,65],shell:[8,50,52,56,58,74],shelv:[6,12,16,24,42,56,57],shelve_unifi:[16,57],shen:16,shenlebantongi:16,shift:[16,51,56],shiftl:16,shiftr:16,shine:56,shinnar:16,ship:[16,65],shiwei:16,shortcut:[12,16,51,54,56,63,70],shorten:[16,27],shorter:[16,30,34,56,58],shortest:34,shorthand:[16,40,53,56,63],should:[2,3,8,9,10,11,12,13,16,23,25,28,29,31,33,34,37,39,40,41,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,73],shouldn:[52,53,74],show:[2,3,5,7,8,9,10,12,13,16,23,24,26,33,36,37,41,50,51,52,53,56,57,58,59,63,66,70],show_profil:16,show_zifi:5,shown:[5,9,12,13,16,26,28,30,33,36,37,41,42,50,51,52,53,56,57,65,70,74],shrink:[16,65],shuffl:56,sibut:16,siddharth:16,side:[3,12,13,16,23,24,26,31,33,34,37,42,51,53,54,56,57,59,61,63,66,70],sig2:[16,26,34,66],sig2_ind:26,sig2_rec:26,sig2_rect:26,sig2_sind:26,sig:[2,16,26,34,66,70],sig_ind:26,sig_rec:26,sig_rect:26,sig_sind:26,sigact:76,sigma:[13,16,36,66,70],sign:[5,8,10,16,28,35,45,51,52,59],signal:[8,16,56],signatur:[2,3,10,16,23,33,34,53,54,58],signature_scop:16,signaturet:16,signific:[16,23,50,65],significantli:[10,16,23,56,65],sigplan:76,sigt2:[16,26,66],sigt2_ind:26,sigt2_rec:26,sigt2_rect:26,sigt2_sind:26,sigt:[16,26,66,70],sigt_ind:26,sigt_of_prod:16,sigt_of_sigt2:16,sigt_prod_sigt:16,sigt_rec:26,sigt_rect:26,sigt_sind:26,sigtnot:16,sigurd:16,sile:16,silenc:[4,16,23,40,45,56,61,73],silent:[11,13,16,23,28,50,52,58,65,71],similar:[2,3,5,9,12,16,23,25,26,33,34,36,37,50,52,53,54,56,57,58,59,61,63,65,66,71,73,74],similarli:[9,12,13,16,25,27,35,37,41,43,45,51,52,53,54,56,61,63,70,74],simon:[16,76],simonbouli:16,simpl:[3,4,10,16,23,24,28,36,40,41,42,45,51,52,53,56,57,58,59,61,66,71],simpl_depind:66,simpl_rel:[3,16],simple_bind:66,simple_intropattern:[16,54,57,66,70,71],simple_intropattern_clos:57,simple_occurr:[57,59,63],simple_reserv:43,simple_tact:[23,53],simpler:[16,23,56,57,61,63],simplest:[54,56],simplex:16,simpli:[3,4,10,12,13,16,23,30,38,53,54,56,58,61,66,70,74],simplic:[34,53],simplif:[2,10,16,23,24,40,53,66],simplifi:[2,10,16,23,40,53,56,66],simplify_dep_elim:66,simplify_eq:[16,23,66],simplify_typ:53,simplify_type_eq:53,simplist:41,simpson:23,simul:[3,16,23,56,65],simultan:[3,16,23,24,25,29,31,33,41,52,56,57],sin3pi4:16,sin:16,sinc:[2,3,4,5,8,10,11,12,13,16,23,25,29,33,34,36,40,41,43,45,50,51,52,53,56,57,58,59,63,65,66,70,73,74],sine:16,singhal:16,singl:[2,3,4,8,12,13,16,23,24,27,28,29,33,34,36,39,43,45,51,52,54,56,57,58,59,63,65,66,70,74],single_z_r_r1_depr:16,singleton:[2,12,16,23,33,53,57],sint63:[16,35],sint63_scop:35,siromonei:[23,76],site:54,situat:[3,4,10,16,45,53,56,70],sixth:16,sizabl:56,size:[2,3,9,12,16,23,33,36,50,54,56,58,63,70,71],sizef:33,sizet:33,skeleton:9,skip:[8,16,40,41,45,50,52,53,56,57,63,65,66],skipn:16,skipn_non:16,skipn_skipn:16,slant:74,slash:[16,56],slave:50,slexprod:16,slider:51,slight:[2,16,23,57],slightli:[3,16,23,34,50,51,53,56,57,66],slow:[3,10,52,53,54],slowdown:16,slower:[16,50,59,61],slowest:52,slowli:53,slrnsc:16,small:[3,5,8,10,13,16,24,25,26,32,33,38,41,43,51,52,56,63],smaller:[3,10,13,16,31,32,33,52,57,61,66,71],smallest:[3,5,26,33,66],smart:16,smart_glob:70,smarter:16,sml:23,smooth:[23,56],smorph0:10,smorph1:10,smorph_add:10,smorph_eq:10,smorph_mul:10,snd:[16,23,26,34,41,45,70],snippet:[54,74],snoc:66,snyke7:16,so08:[12,76],so:[2,3,4,7,8,9,10,11,12,13,16,23,25,26,28,30,31,33,34,35,36,37,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,72,73,74],societi:76,socket:16,soegtrop:16,soft:[24,71],softwar:[16,23,24,58,76],sogetrop:16,solut:[3,5,12,16,41,43,57,58,62,66],solv:[2,3,5,7,10,12,16,23,24,38,41,43,56,59,60,61,63,66],solvabl:[16,57,61],solve_constraint:65,solve_iso:53,solve_iso_ex1:53,solve_iso_ex2:53,solve_perm:53,solve_type_eq:53,solver:[9,16,24,64],some:[3,4,5,6,8,9,10,11,12,13,16,23,24,25,27,28,29,30,31,33,36,37,39,40,41,43,44,45,50,51,52,53,54,56,57,58,59,60,61,62,63,65,66,70,71,72,74],some_class:16,some_const:41,some_term:16,somehow:45,someon:16,someth:[16,30,36,51,52,53,54,58,63],sometim:[13,16,23,24,30,33,45,52,53,54,56,58,59,65,66,70],somewhat:[54,63,70],soon:[8,9,16,23,51,53,56],sop:23,sophia:[16,23],sort:[0,1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],sort_famili:[66,71],sortclass:[4,16,56,70],sorted_sort:16,soubiran:16,sought:45,sound:[2,16,33],sourc:[2,4,5,23,24,50,51,52,54,56,58,70,72],source_date_epoch:16,soz07:[9,76],sozeau:[3,9,13,16,76],sp1:16,space:[3,16,28,51,52,56,58,65,70,74],space_overhead:50,span:16,spanjel:16,spawn:[16,53],speak:[5,10],spec:[5,16],spec_float:26,special:[2,3,4,9,11,12,15,16,23,24,26,27,28,33,50,51,52,53,54,58,59,63,65,66,70,74],specialist:16,specif:[2,3,5,9,10,23,27,30,31,33,34,35,38,39,41,50,51,52,54,56,57,58,59,60,63,65,66,70,76],specifi:[2,3,4,5,6,8,9,10,12,16,23,24,26,27,28,31,33,34,35,36,39,40,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,74],spectacular:23,speed:[3,12,16,23,33,63],spell:16,spent:[16,50,52,53],sphinx:16,sphinx_rtd_them:16,sphinxcontrib:16,spirit:[16,33,54],spite:16,spitter:16,spiwack:16,splay_ar:16,split:[2,16,24,26,28,33,41,50,53,56,57,59,65,66,74],split_combin:16,split_rab:26,split_rmult:26,splitabsolu:23,splitat:16,splitrmult:23,spontan:56,spot:54,spr1:11,spr2:11,spread:52,spring:23,springer:76,sprod:11,sprop:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],spuriou:[4,16,56,70],spurious:16,sqrt:[16,26,58],sqrt_inv:16,squad:2,squar:[5,16,23,43,53,58,70,74],squash:[11,13,16],squash_ind:13,squash_prop_rect:13,squash_prop_srect:13,squash_sind:13,sradd_0_l:10,sradd_assoc:10,sradd_sym:10,src:[4,52],srdistr_l:10,srefl:[11,45],sring_eq_ext:10,srinivasan:16,srmul_0_l:10,srmul_1_l:10,srmul_assoc:10,srmul_sym:10,ssig:11,ssnd:11,ssort:4,ssr:[16,56,58,65],ssr_binder:56,ssrautoprop:56,ssrbool:[16,56],ssreflect:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],ssreflect_plugin:56,ssrfun:[16,56],ssrhave:[16,56],ssrident:56,ssripat:56,ssripat_scop:56,ssrmatch:[16,56],ssrmatching_plugin:56,ssrnat:56,ssroldrewritegoalsord:56,ssrrewrit:56,ssrsearch:16,ssrsyntax:56,sstuff:4,stabil:16,stabl:[8,16,23,52],stack:[16,24,40,53,54,56,58,70],stage:[16,33,41,54,65],stai:[2,26],stale:[8,16],stalmarck:[2,23],stand:[5,6,16,23,25,27,33,52,70],standalon:[16,50],standard:[2,3,5,9,13,24,28,34,35,39,50,51,52,53,57,58,61,63,64,65,66,71,72,73,74],stanza:52,star:[16,59,61],starred_ident_ref:65,start:[2,3,8,9,12,16,23,24,25,26,28,31,33,34,36,39,40,41,43,45,51,52,53,54,57,58,59,63,65,66,70,74],start_profil:16,startup:[11,50,52,59],stat:65,state:[2,3,5,7,8,10,12,16,23,24,26,28,30,31,36,50,51,53,54,56,57,58,61,63,66,70],statement:[8,9,16,23,27,31,32,40,41,43,50,56,57,58,63,65,66,70],station:16,statist:[5,16,65],statu:[8,11,12,13,16,50,51,52,53,56,70],std:[16,54],stdlib:[16,26],stdout:[16,74],steckler:16,stefan:16,stell:16,stem:16,stengl:16,step:[3,5,7,10,12,16,23,24,25,28,40,50,51,52,53,57,59,63,64,66],stepanenko:16,stephan:16,stepl:[16,63],stepr:[16,63],stick:54,sticki:23,still:[2,3,7,9,12,16,23,28,31,33,35,36,37,41,43,45,50,52,53,54,56,57,58,59,63,65,66,73],stm:16,stmaryrd:74,stock:16,stolz:16,stone:53,stop:[3,5,11,16,23,31,37,51,53,56,70],stop_profil:16,store:[8,16,51,52,56,58,59],stori:29,storm:16,str:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],straightforward:[3,54],straightforwardli:3,strat:3,strategi:[7,9,12,16,23,24,25,54,56,59,70,76],stratego:[3,76],strategy_level:[63,70],strategy_level_or_var:[63,70],stratif:23,stream:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],stream_eta:29,stream_ext:29,streamlin:[16,23],strength:23,strengthen:[16,34,56,66],strict:[2,5,12,13,16,23,24,30,38,40,41,53,56,57,58,59,65,70],stricter:[12,13,16],strictli:[8,10,13,16,40,56,70],strictprop:[11,16],strikeout:65,string:[2,10,13,16,24,26,28,39,41,50,52,53,54,56,58,63,65,73,74],string_as_ot:16,string_scop:[16,41,70],stringsyntax:16,strip:[16,57],strong:[16,23,26,30,33,63,66,76],stronger:[3,11,16,33],strongli:[10,14,16,33,34,43,52,53,56,58],strub:16,struct:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],structur:[2,3,4,8,9,12,16,23,24,26,31,33,34,35,36,39,43,44,52,53,54,57,58,65,66,70,71,76],stt:11,stuck:[11,12,16],studi:[23,30],stuff2:52,stuff:[23,52,74],style:[6,16,23,24,29,36,51,54,56,61,66],suarez:23,sub:[2,4,8,16,26,35,45,50,52,53,56,59,66,70],sub_equ:71,subcas:[39,74],subclass:[4,12,26,38,41,58],subcompon:[16,50],subdir:[16,50,52],subdirectori:[16,26,50,52,58,59],subequ:66,subexpress:[53,57,70],subgoal:[5,10,12,16,23,24,26,53,56,57,59,61,63,66],subgraph:[13,16],subject:[16,24,25,29,30,49,50,71],sublemma:16,submak:52,submit:[23,26],submodul:[16,34],subnk:56,subnn:56,subpackag:58,subpart:53,subpattern:[24,53,54],subprocess:16,subproof:[16,33,65],subrel:[16,24],subscript:28,subsecond:52,subsect:[16,23,33,41,74],subsequ:[8,13,16,28,36,37,50,53,54,57,58,65,66,70],subsequent_lett:28,subset:[5,9,16,23,24,33,38,43,54,56,57,65,70,76],subset_bi:70,subst:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],substitut:[10,16,23,24,25,33,37,45,50,54,56,57,63,66,70],substr:[16,58],substructur:[16,24],subsum:[8,16,56],subsystem:[16,23],subterm:[3,9,10,16,23,24,30,33,40,53,54,56,57,58,63,65,66,70,71],subtim:50,subtitl:74,subtract:[5,56],subtyp:[4,9,13,16,24,30,34,38,76],succ:[2,23,53,58,63],succ_doubl:16,succ_po:16,succe:[2,3,12,16,24,43,45,50,54,56,57,58,59,61,63,65],succeed:[3,16,53,58,71],success:[2,3,4,5,12,16,23,24,33,50,51,54,56,58,59,61,63,65,66,73],successfulli:[12,50,51,53,56,61,62],successor:[33,38],succinct:54,suchthat:6,suddenli:54,sudha:16,suff:[16,24],suffic:[51,56],suffici:[3,5,10,12,52],suffix:[3,16,34,50,51,52,53,56,58,70,74],sugar:[2,7,16,53,54,58,76],suggest:[10,16,23,24,33,50,51,52,56,65],suit:[2,16,52,56,57,62],suitabl:[16,40,51],sum:[10,16,23,26,39,54,61,66,70],sum_:[5,7,56],sum_ind:[23,26,70],sum_inequa_rle_lt_depr:16,sum_rec:[26,70],sum_rect:[26,70],sum_sind:[26,70],sumbool:[2,26,45,70],sumbool_ind:26,sumbool_rec:26,sumbool_rect:26,sumbool_sind:26,sumlist:56,summar:[10,50,56,65],summari:[24,45,50,74],summaris:56,summat:56,summer:23,sumor:[26,70],sumor_ind:26,sumor_rec:26,sumor_rect:26,sumor_sind:26,sumxxx:56,sun:23,sunit:11,sunit_rect:11,sup:23,superclass:24,superflu:[16,23],superieur:16,superpos:45,superposit:45,supersed:16,supervis:[16,23],supplement:16,suppli:[16,36,56,61],support:[2,3,4,5,6,8,9,10,12,13,16,23,24,26,29,31,33,34,36,39,40,41,43,50,52,53,54,56,58,59,61,63,65,70,71,73,74,75],suppos:[3,9,16,50,54,56,63],suppress:[56,74],sure:[2,4,16,34,51,52,57,70],suresn:23,surgic:56,surject:[10,36],surma:16,surpass:16,surpris:57,surround:[3,43,56,58,70],survei:[23,24],surviv:[16,23,59,70],suspend:[12,16,65],sustem:58,sven:16,swap:[2,16,53,56,57],swasei:16,sweet:54,sy:52,syllabu:23,sylvain:76,sylvi:23,sym:[3,16,43],sym_equ:56,symbol:[2,3,10,13,16,23,24,26,27,28,30,40,41,42,45,56,59,61,63,66,70,74,76],symmetr:[3,16,23,30,58,63,70],symmetri:[3,16,23,33,43,56,59,63],symposium:[23,76],symptom:16,syn_valu:53,sync:16,synchron:[16,23,51],synonym:[16,28,36,50,56,57,63],synopsi:[24,52],syntact:[2,3,10,16,23,24,25,26,28,29,30,33,34,36,38,40,56,57,58,65,70,73],syntax:[2,4,5,8,9,10,12,13,24,25,26,29,31,33,34,36,38,39,40,41,42,44,50,51,52,57,58,59,62,63,65,74,76],syntax_modifi:[16,70],synth:[45,58],synthes:[4,16,23,26,27,41,45,76],synthesi:[16,23,43],synthesiz:45,synthet:23,system:[3,8,9,10,16,23,24,25,26,27,28,31,32,33,37,38,45,50,51,52,53,54,56,58,59,61,70,72,76],systemat:[16,23,43,54,56,63],t0:56,t1:[3,12,16,33,41,45,56],t2:[16,33,41],t:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,74,75,76],t_0:25,t_1:[3,25,30,33,34],t_2:[25,30,33,34],t_:[25,33],t_h:65,t_i:33,t_ind:[16,34],t_k:25,t_m:33,t_n:[3,25,33,65],t_q:33,t_rec:34,t_rect:34,t_scope:[16,70],t_sind:34,t_tauto_intuit:53,tab:[16,28,51,52],tabareau:[3,16,76],tabl:[2,3,4,15,16,23,24,26,36,45,50,52,53,54,56,58,66,70,74],tableau:23,tableofcont:74,tablog:23,tabul:[16,23,56],tac1:16,tac2:16,tac2alg_constructor:54,tac2def_bodi:54,tac2pat0:54,tac2pat1:54,tac2rec_field:54,tac2rec_fieldexpr:54,tac2rec_fieldpat:54,tac2typ_def:54,tac2typ_knd:54,tac2typ_prm:54,tac:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],tacdef_bodi:53,tacexpr:42,tacl:53,tacmach:16,tactic1:56,tactic:[7,8,9,12,15,24,25,28,29,30,31,32,33,34,37,39,40,45,50,51,52,58,61,64,65,72,74],tactic_arg:53,tactic_atom:53,tactic_failur:54,tactic_invoc:57,tactic_list_sep:53,tactic_then_loc:70,tactic_valu:53,tacticm:56,tacticn:56,tacvalu:51,tag:[16,23,50,51,56,65],tail:[16,23,26,45,53,54,56,59,70],tail_mul:58,tailor:10,taint:50,taiwan:76,takafumi:16,takahashi:76,take:[2,3,5,8,10,11,12,16,23,25,26,27,28,30,31,36,39,40,41,45,50,51,52,53,54,56,57,59,61,63,65,66,70,74],taken:[2,12,16,23,33,35,41,43,52,56,63,66,70],talia:16,tan:76,tan_atan:16,tan_inj:16,tan_is_inj:16,tanaka:16,tankink:16,tapsoft:23,target:[4,8,10,16,24,50,57,70],tarski:23,task:[8,16,56,74],tassi:[8,16,41,56,76],tau:66,tauto:[5,16,23,33,53,61],tauto_gen:53,tauto_intuitionist:53,tautolog:[10,16,23,53,61],taylor:76,tctl:23,teach:16,team:[16,23],tebbi:16,tech_rgt_minu:16,tech_rplu:16,tech_single_z_r_r1_depr:16,technic:[8,16,26,33,43,50,56,76],techniqu:[5,9,29,41,56,58,61,66],tediou:[23,33,52,56,66],tej:[16,57],tel:76,telecom:23,telescop:16,tell:[2,3,10,16,23,33,40,41,43,45,50,54,56,59,63,66,70,74],templat:[12,16,24,29,36,39,65],tempor:23,temporari:[2,13,16,23,56],temporarili:[16,52,56,58,65,70],ten:23,tend:[13,56],teo:76,term0:[28,36,57,70],term100:[28,39,45],term10:[16,28,31],term1:[27,28,36,43,56],term2:56,term:[2,3,4,6,8,9,10,11,12,13,16,23,24,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,49,52,56,57,58,59,61,62,65,66,71,74],term_appl:[27,28,36,43,63],term_cast:[28,31],term_cofix:[16,28,29,53],term_evar:[28,42],term_explicit:[28,43],term_fix:[16,28,33,53],term_forall_or_fun:[16,27,28],term_gener:[28,43],term_i:56,term_if:[16,28,45],term_ind:66,term_let:[16,28,31,37],term_ltac:[28,53],term_match:[28,39],term_project:[28,36],term_rec:66,term_record:[28,36],term_rect:66,term_scop:[28,70],term_sind:66,termin:[2,8,9,16,23,24,26,28,29,31,33,34,37,50,51,54,58,59,65,70,71],terminolog:[23,54],termn:56,termvh:56,ternari:16,terrass:76,territori:51,test:[2,3,4,8,9,10,12,16,23,24,28,29,33,41,45,54,56,57,58,65],test_algebra:41,test_algebraic2:41,test_big_nest:56,test_ind:56,test_sind:56,testbit:[16,58],testbit_eqb:58,testbit_fals:58,testbit_nat:58,testbit_spec:58,testbit_tru:58,testcompil:[2,16],tew:16,tex:[16,52,74],texa:23,texmac:74,text:[16,23,26,50,51,52,56,58,65,70,74],text_:74,textbook:56,textgreek:74,textsf:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],textsl:74,texttt:3,textual:[16,45,70],tgt:52,th:[16,26,29,33,39,56,57,65,66,76],than:[2,3,5,8,10,11,12,13,16,23,28,29,30,33,34,36,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,74],thank:[2,5,11,16,23,33,41,54,56,63,70],the_cmp:41,thei:[2,3,4,6,7,8,9,10,11,12,13,14,16,23,24,25,26,27,28,29,30,31,33,34,35,36,37,38,40,41,42,43,44,45,50,51,52,53,54,56,57,58,59,63,65,66,70,71,72,73,74],them:[2,3,8,9,10,12,13,16,23,25,26,27,30,33,34,36,37,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,74],theme:[23,51],themselv:[3,12,13,16,25,34,36,38,40,41,52,56,58,70],theorem:[2,5,7,8,10,11,16,23,24,26,28,31,32,34,36,37,41,42,50,51,56,58,59,61,64,65,70,72,73,74,76],theorem_nam:65,theoret:[2,16,23,30,38,76],theori:[3,4,5,10,16,23,24,25,26,27,28,38,41,45,50,52,56,57,59,61,66,70,76],theorylist:16,thereaft:[33,58],therebi:58,therefor:[2,16,28,30,36,51,52,56,57,61,71,72],therein:52,thereof:16,theri:[16,23],thesi:[23,76],thi:[2,3,4,5,6,7,8,9,11,12,13,14,16,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,49,50,51,52,53,54,56,57,58,59,60,61,62,63,64,65,66,70,71,72,73,74,75],thierri:[16,23,33,76],thing:[8,16,51,53,54,58,66,71],think:[54,65],third:[2,3,16,24,39,40,43,50,51,52,53,56,57,58,74],thirdli:16,this_scop:56,thisextrafil:52,thm:23,thm_token:[31,58],tho:16,thoma:16,thoroughli:[16,54],those:[2,3,5,10,11,16,23,25,32,33,34,36,42,45,51,52,53,54,56,57,58,59,61,63,65,66,70,71],though:[2,8,9,16,23,28,34,36,45,50,52,53,54,63,66,70],thought:[9,25,28,62],thread:[16,52],three:[2,4,9,10,16,23,24,33,39,50,51,52,53,56,58,59,66,70],threeintropatternscombin:57,threshold:[8,16,63,70],throttl:76,through:[3,4,11,16,23,26,27,28,29,31,33,34,35,36,45,51,52,53,54,56,57,58,59,63,64,65,66,70,71,72,73],throughout:[16,28],thu:[3,4,5,11,16,23,31,33,41,42,45,50,52,53,54,56,57,58,59,63,65,66,70,71,74],thumb:[50,66],thunk:[16,54],ti:[12,56],tie:63,tight:70,timani:16,time1:52,time2:52,time3:52,time:[2,3,5,8,9,10,11,12,13,16,23,24,26,27,28,31,33,35,36,40,41,43,45,51,54,56,57,58,63,65,66,70],time_constr1:53,time_constr:[16,24],time_of_pretty_build_fil:52,timeout:[11,16,24,58,63],timer:53,times_sym:16,timing_fuzz:[16,52],timing_include_mem:[16,52],timing_r:[16,52],timing_sort_bi:[16,52],timing_sort_by_mem:[16,52],timothi:16,tip:16,titl:[16,51,74],tj:56,tl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],tm:12,tmp:16,tn:[3,12,16,56],to_bit:58,to_bits_of_bit:58,to_constr:54,to_eq:41,to_euclidean_division_equ:[5,16],to_euclidean_division_equations_with:16,to_l:41,to_list:16,to_list_append:16,to_list_con:16,to_list_const:16,to_list_exist:16,to_list_fold_left:16,to_list_fold_right:16,to_list_foral:16,to_list_forall2:16,to_list_hd:16,to_list_in:16,to_list_inj:16,to_list_last:16,to_list_map:16,to_list_nil:16,to_list_nil_iff:16,to_list_nth_ord:16,to_list_rev:16,to_list_rev_append:16,to_list_rev_append_tail:16,to_list_tl:16,to_n:16,to_nat:16,to_num_uint:70,to_po:16,to_str:[16,54],to_uint:70,to_uint_dec:70,tobia:16,toc:[16,74],todd:74,todo:16,togeth:[3,9,16,23,24,26,30,33,34,42,52,53,54,56,65,70,74],toggl:[45,51],toi:56,token:[16,28,41,50,51,52,53,54,57,58,65,70,74],toler:16,tolmach:76,tom:16,toni:16,too:[8,9,10,16,53,54,56,57,66,70],took:[8,16,23],tool:[10,13,24,28,50,51,52,53,56,58,65,70,71,74,76],toolbar:51,toolbox:3,toolchain:[16,50],tooltip:51,top:[3,8,11,12,13,16,23,24,26,28,34,36,45,50,51,52,53,54,56,57,58,63,66,70,72,74],top_heap_word:65,topbin:[16,52],topdown:3,topfil:16,toplevel:[2,13,16,23,24,26,28,34,43,45,50,51,52,54,56,57,58,59,63,70,71,73],toplevel_selector:[16,28,53,57],toploop:16,toset:[13,16],total:[50,52,53],toto:50,toward:[4,16,26,52],tphol:76,trace:[10,12,16,24,31,50,52,56,57],track:[16,23,50,52,54,56],tracker:[16,53],tract:76,tractabl:11,tradit:[16,23,50,62],trager:16,traian:16,trail:[16,24,56,74],trailer:74,tran:[3,16],trans_equ:56,transact:[63,76],transfer:23,transform:[3,4,8,10,16,28,56,57,65,66,76],transit:[3,7,8,12,13,16,23,24,25,34,40,43,50,53,56,57,58,59,63,65,73],translat:[2,3,16,23,24,32,40,44,56,70,74],transpar:[3,4,6,9,13,16,23,24,30,31,34,36,40,50,53,54,56,58,59,63,65,66,74],transparentst:16,transport:[11,16],transposit:16,trap:23,travers:[3,16,56,57,66],traverso:76,travi:16,treat:[9,11,12,16,28,45,52,53,56,58,59,61,63,66,70,71],treatment:[2,9,16,39],trece:56,tree:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76],tree_forest_ind:66,tree_forest_mutind:66,tree_forest_mutrect:66,tree_forest_rec:66,tree_forest_rect:66,tree_ind:[33,66,71],tree_rec:[33,66,71],tree_rect:[33,66,71],tree_sind:[33,66,71],tree_siz:[33,71],tree_size_equ:71,tree_size_ind2:71,tree_size_ind:71,tree_size_rec:71,tree_size_rect:71,treinen:16,tri:[3,4,5,9,12,13,16,33,34,40,45,51,52,53,54,56,57,58,59,61,65,66],triangl:51,triangleright:[25,30],triangleright_:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],trick:[23,54,56,57,71],trickeri:54,tricki:[23,56],trickier:53,trigger:[12,16,28,43,53,54,56,59,73],trigonometr:[16,23],trii:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],trivial:[11,12,13,16,33,45,52,53,54,56,57,59,65,66],trm:53,troubl:[16,53,63,66],true_sub:16,truli:[16,56],trunc:16,truncat:[16,56],trunk:16,trunov:16,trust:[23,32,35,72],truth:[16,53,56],tryif:[16,24],ts:45,tt:[5,12,13,16,26,39,45,53,56],tt_h:65,tt_n:65,tune:[16,41,63],tupl:[9,16,36,41,45,54,56,57],turn:[2,8,11,12,13,16,23,26,28,31,36,40,41,43,45,50,51,53,54,56,57,58,63,65,66,70],tutori:[16,24,62,73,76],tv:2,tweak:16,twice:[16,33,50,52,58,63,65],two:[2,3,4,5,6,8,9,10,12,13,14,16,23,24,25,26,28,29,30,33,35,36,37,39,40,41,43,45,50,51,52,54,56,57,58,59,62,63,65,66,70,73,74],twofold:27,twoi:56,tx:56,txt:[16,23,52],ty:[53,56],typ:[16,23],typabl:[2,4,33],type1:34,type2:34,type:[0,1,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,28,30,32,35,38,40,41,42,44,46,47,48,49,50,51,52,55,57,59,60,61,62,63,64,65,67,68,69,71,72,73,74,75,76],type_ind:66,type_of:16,type_rec:66,type_rect:66,type_scop:[12,13,16,24,33,43,45,51,53,57,65,66],type_sind:66,type_term:[16,24],typeabl:3,typecheck:[9,16,40,50,54,57,58,63,65],typeclass:[3,4,5,7,16,24,34,36,37,43,44,57,59,63,65],typeclass_constraint:43,typeclass_inst:[12,16,59],typed:54,typeexpand:2,typeset:[16,74],typic:[2,4,6,11,13,16,23,29,33,34,43,45,50,52,54,56,57,58,59,63,66,70],typo:[16,43],u05d0:16,u0:[13,45],u1:[12,13,16,56],u:[3,4,9,13,16,23,25,26,30,33,34,37,38,40,45,52,53,54,56,57,61,63,66,70],u_0:25,u_1:[25,30,33,38],u_2:30,u_:33,u_i:[25,33],u_m:25,u_n:38,ubiquit:56,uconstr:[16,53,70],ui:50,uint63:[16,35],uint63_scop:[35,70],uint:[16,58,70],uint_scop:16,uintdecim:70,uinthexadecim:70,uip:[13,16,24,45,58],uip_refl_nat:66,uj:56,ultim:10,um:[12,56],un:76,unabl:[3,13,33,42,45,52,56,57,58,65,66],unabletounifi:16,unambigu:[16,26,31,43,52,58],unappli:16,unari:[2,3,25,28,33,63],unavail:16,unavoid:56,unbound:[12,13,16,53,54,57],unbox:53,uncapit:16,uncaught:[16,54],unchang:[16,53,56,57,59,63,65],uncheck:58,unclear:[3,54],uncom:51,uncommon:16,uncon:16,uncondition:16,uncurri:16,undecid:[28,29],undeclar:13,undefin:[16,27],undelimit:[16,58,70],undeprec:16,under:[5,9,10,16,24,31,39,43,45,51,52,53,54,58,63,65,66],under_rel:16,underli:[9,10,16,23,25,53,56,66,70],underlin:[50,51,65],undermin:56,underscor:[13,16,28,36,43,50,70,74],understand:[3,5,11,14,16,23,24,28,32,50,52,53,54,58,59],understood:[16,31,33,35,59,70,74],undertaken:23,undesir:63,undetect:[16,45],undetermin:[56,65],undif:65,undiscrimin:[16,59],undo:[10,16,51,53,57,58,65],undocu:[16,23],undon:51,unduli:16,uneed:57,unend:70,unequ:16,uneven:16,unexpect:[16,23,43,52,54,70,72],unexpectedli:53,unfocu:[16,65],unfocus:[16,33,54,58,65],unfold:[5,9,12,13,16,23,24,26,30,31,33,36,53,54,56,59,61,65,70],unfold_nth_error:16,unfortun:[3,5,16,41,45,56],unguard:29,unibo:23,unicod:[16,24,74],unicode_id_part:28,unicode_lett:28,unicoq:52,unif:[3,12,16,23,24,36,39,41,42,53,59,63],unifi:[3,11,12,13,16,33,40,41,42,53,56,57,63,65],uniform:[4,16,23,33,39,43,54],uniformli:[16,23],uninform:16,uninstal:[16,24],uninstanti:[42,43,53,57,66],unintend:56,unintendedli:16,uninterest:56,uninterpret:[16,61],uninterrupt:16,union:[3,12,16,53,58,65,76],union_compat:3,union_mor:3,uniqu:[3,11,12,16,23,26,30,34,37,56,58,66,70],unit:[2,11,12,13,16,26,33,39,45,52,53,54,56,61,63,70],unit_eqdec:12,unit_ind:26,unit_monoid:13,unit_rec:26,unit_rect:26,unit_sind:26,uniti:10,univ:16,univ_annot:[13,28,36],univ_constraint:13,univ_decl:[13,27,34],univ_level_or_qu:13,univ_name_list:58,unival:16,univers:[3,4,8,9,11,12,16,23,24,25,26,27,28,29,30,31,32,33,36,38,39,43,45,50,53,56,58,61,65,66,70,76],universe_expr:38,universe_nam:[13,38],unix:[16,23],unkei:56,unknown:[16,28,41,42,57,59,65,70],unless:[2,3,13,16,28,39,40,41,43,50,51,56,57,63,70,71,74],unlik:[12,16,23,29,38,51,53,54,56,57,58,63,66],unload:16,unlock:24,unmaintain:16,unmatch:57,unmodifi:51,unnam:[43,51,56,65,70],unnamed_coqscript_:51,unnamed_thm:65,unnatur:70,unnecessari:[8,16,56,61,65],unneed:[8,16,57],unnot:8,unop:5,unopspec:[5,16],unord:[3,16,56],unpack:16,unpredict:53,unprefix:3,unprocess:51,unprotect:[16,56],unprov:[16,42,57],unproven:[51,57,65],unqualifi:[16,34,54,70],unquot:[16,52,54],unquoted_str:52,unread:[16,58],unrealist:23,unreli:16,unresolv:[9,12,16,56,57,59,63,66],unrespons:16,unsaf:[2,16,54,65],unsafe_:16,unsafe_type_of:16,unsafecoerc:16,unsatisfi:[5,59],unselect:57,unset:[4,5,11,13,16,23,24,33,34,36,41,43,45,50,53,54,56,58,65,66,70],unshelv:[16,42,65],unsign:[5,16,35],unsolv:[9,16,42,65],unsound:[16,33],unspecifi:[4,13,16,42,54,61,66],unstabl:16,unsuit:8,unsupport:[16,28,51,58],untermin:70,until:[12,13,16,23,25,30,31,33,39,51,53,54,56,59,63,65,66,71],untouch:[16,40],untyp:[16,24,54,70],unus:[16,24,52,57],unwant:16,up:[3,8,12,16,23,24,25,30,33,41,42,51,52,53,54,56,57,63,65,66,70,74],upcom:16,updat:[4,8,14,16,23,35,36,45,51,52,57,58,66,70],upfront:52,upgrad:[14,16,24],upon:[5,10,35,42,50],upper:[13,16,38,43,51],upper_bound_thm:16,uppercas:[28,54],upstream:[16,52],upward:[16,23],url:[16,26,51,74,76],us:[2,3,5,6,7,8,9,10,11,12,16,23,25,26,27,28,29,30,31,32,33,35,38,39,40,41,44,54,56,58,59,60,61,62,64,71,72,73,74,76],usa:76,usabl:[16,23,37,51,54,65,66,70],usag:[8,16,23,24,26,50,52,53,57,63],usecamlp4:16,usefulli:16,useless:[12,13,16,23,24,36,45,59],uselessli:16,uselocaldef:16,usepackag:74,user:[4,5,6,7,8,9,10,11,12,13,16,24,28,31,32,33,34,35,36,38,41,42,43,44,45,50,51,52,53,54,56,57,58,60,61,63,64,65,66,70,71,72,73,74,75,76],usernam:51,usual:[3,8,9,11,16,24,25,26,27,29,33,34,36,39,42,43,45,51,52,53,54,56,57,58,59,61,63,65,66,70,73,74],utf8:[51,52,74],utf8x:74,utf:[16,51,74],util:[8,16,41,50,52],v1:[24,49,56],v2:[23,56],v3:[23,56],v4:23,v5:23,v6:23,v7:[16,23],v8:16,v:[2,3,7,8,10,11,13,16,23,25,26,33,34,36,41,43,45,50,51,52,53,54,56,57,58,66,70,74],v_0:10,v_1:[10,30],v_2:10,v_3:10,v_:[10,25],v_i:[10,30],v_m:30,vadim:16,val:[2,33,54,56],valentin:16,valid:[2,3,4,5,8,10,13,16,24,25,28,31,33,34,39,41,50,53,54,56,57,58,65,70,71],valu:[2,4,5,6,9,10,11,12,13,16,23,24,25,26,27,28,30,31,33,35,36,37,39,41,42,50,51,52,56,57,58,59,61,63,65,66,70],value_tact:[51,53,63],van:16,vanish:23,vari:[23,53,57,66,70],variabl:[2,3,4,5,6,7,8,9,11,12,13,16,23,24,25,26,27,28,30,31,33,34,36,37,38,39,40,41,44,52,53,56,57,58,59,61,63,66,70,71,74],varianc:[3,16],variant:[5,12,13,16,23,24,26,27,31,32,33,34,36,37,50,53,54,59,62,63,65,66,70,71],variat:[16,58,76],varieti:[16,23],variou:[3,15,16,23,24,26,27,28,33,43,50,51,52,54,56,57,58,59,63,65,70],varmap:5,varnam:36,varner:16,varref:54,vassor:16,vax:23,vbt98:[3,76],vcon:[16,66],vdash:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],vdfile:16,ve:[51,52,65,66],vec:66,vec_ind:66,vec_rec:66,vec_rect:66,vec_sind:66,vector:[16,45,66,70],vector_ind:66,vector_rec:66,vector_rect:66,vector_scop:16,vector_sind:66,vectordef:16,vectornot:16,vectorspec:16,vener:16,verbatim:24,verbos:[12,16,41,50,58],veri:[2,8,9,10,12,16,23,24,26,28,33,41,45,51,52,53,54,56,57,58,59,61,63,65,66],verif:[3,23,24,31,65,66,76],verifi:[3,7,9,10,13,16,23,24,28,30,31,32,34,50,59,63,65],verlag:76,vernac:[16,23,50,52,70,74],vernac_control:70,vernacular:[16,23,58,62,74],version:[2,3,4,7,9,12,13,14,24,28,31,33,34,35,36,40,45,49,50,51,56,57,58,59,61,63,65,72,73,74,76],vertic:[16,58,70],vfile:52,vi:52,via:[2,5,8,10,16,50,52,53,54,56,58,70,71],vicent:16,view:[2,10,16,24,25,28,31,33,38,40,51,54,59,65],vincent:16,vindum:16,vio2vo:[8,16],vio:[8,16],violat:[38,65],virtu:16,virtual:[16,23,31,52,63],vis01:[3,76],visibl:[6,16,23,37,51,56,59,65,70,74],visser:[3,76],visual:[16,50,51,53,65,70],vlad:71,vm:[16,57,58,63],vm_c:52,vm_cast_no_check:57,vm_comput:[5,16,24,31,35,50,57],vmbyteflag:16,vnil:66,vo:[8,16,23,24,52,58],vocabulari:24,vofil:52,vok:[16,50],volatil:[16,31,40,45],volum:[23,76],volunt:16,vote:23,vs:[12,16,24,25],vscoq:[8,16,50,52,65],vulner:16,w:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],w_1:[25,30],w_i:25,w_m:[25,30],wa:[3,10,11,16,23,26,27,28,31,33,34,36,40,41,42,43,50,51,52,53,54,56,57,58,59,62,63,65,66,70,71],wai:[2,3,5,10,11,12,13,16,23,24,25,26,28,29,30,31,33,34,36,41,42,43,45,50,51,52,56,57,58,59,61,62,63,65,66,70,71,72,74],wait:[8,16,54,65],waitpid:16,walding:23,walk:[54,70],wall:63,wand:76,wang:16,want:[2,10,12,16,33,34,35,40,41,42,50,51,52,53,54,56,57,58,59,61,63,65,66,70,72,73],warn:[2,3,4,11,12,15,16,23,24,26,27,28,33,34,36,40,41,43,45,50,51,53,56,58,59,61,65,70,71,73],we:[2,3,4,5,9,10,11,12,13,15,16,23,25,26,27,28,29,30,32,33,34,37,38,39,41,43,44,45,50,51,52,53,54,56,57,58,59,63,65,66,70,71,74],weak:[5,16,24,26,34,54,63,66,70],weaken:[16,66],weaker:[3,16,23,59],weakli:63,web:[16,26,51,52],websit:[74,75],wedg:7,weegen:16,week:16,wei:23,weight:16,weird:16,welcom:[16,53],well:[2,3,4,8,9,10,12,13,16,23,24,25,28,29,30,31,32,34,36,38,42,44,45,50,51,52,53,54,56,57,58,62,63,65,66,70,71,74],well_found:26,well_founded_ind:26,well_founded_induct:[16,26],wellfound:[9,16,26],wendl:16,weng:16,went:[53,54],wenzel:16,wer94:[30,76],were:[3,10,12,16,23,33,35,41,43,50,52,53,54,58,59,65,70,71,74],werner:[10,16,23,76],wev:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],weval:34,wevt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],weyhrauch:23,wf:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wf_nat:[2,16,23],wf_slexprod:16,wf_z:23,wfe:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wft:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wftwolin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],what:[2,3,5,8,12,15,16,23,24,26,28,32,33,40,41,45,50,52,53,54,56,58,59,63,65,66,70],whatev:[3,43,63,74],whelp:16,when:[2,3,4,5,6,7,8,9,10,11,12,13,14,16,23,24,26,27,28,29,31,33,34,35,36,37,38,39,40,41,42,44,50,51,52,53,54,57,58,59,61,63,65,66,70,71,73,74],whenev:[3,7,13,16,26,41,54,56,61,63,66,70],where:[2,3,4,5,7,8,9,10,11,12,13,16,23,25,26,28,29,33,34,35,36,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,74],wherea:[16,28,33,53,54,56,57,61],wherev:[30,52,53,54,66,70],whether:[2,3,9,11,12,13,16,28,33,34,40,43,50,51,52,53,54,56,58,61,63,65,70,74],which:[2,3,4,5,6,7,8,9,10,11,12,13,16,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,50,51,52,53,54,56,57,58,59,61,62,63,64,65,66,70,71,72,74],whichev:16,whilst:9,white:[16,56],whitequark:16,whitespac:[16,23,52,74],who:[16,23,54,56,58],whole:[2,3,9,10,16,28,39,45,50,52,54,56,58,70,74],whose:[2,3,4,5,10,12,13,16,23,25,26,29,30,32,33,34,36,38,40,41,43,45,52,53,54,56,57,58,59,63,66,70,74],why2:16,why3:16,why:[3,10,16,33,36,42,54],wide:[28,37,51,52,57],widget:23,width:[16,58,70],wiedemann:16,wiedijk:23,wiki:[16,63],wikipedia:63,wilcox:16,wild:[16,56],wildcard:[9,12,24,27],william:76,win:16,window:[8,16,23,50,51,52,53],winterhalt:16,wire:[16,54],wish:[2,5,16,52],wit:[5,13,16,23,26,38,54,63],with_declar:34,with_strategi:[16,63,70],with_uniform_flag:53,within:[5,16,23,27,28,30,32,34,36,37,40,41,43,50,51,53,54,57,58,63,65,70],without:[2,3,5,8,9,10,12,13,16,23,25,28,31,32,33,34,36,41,42,43,45,50,51,52,53,54,56,57,58,59,63,65,66,70,73,74,76],wizard:13,wlia:5,wlog:[16,24],wlog_stat:56,wlra:5,wlra_q:5,wml07:76,wnia:5,wnra:5,wojciech:16,wolf:16,won:[16,24,37,51,52,53,54,57,61,63,66,70,72],word:[4,13,16,26,29,41,50,51,52,57,65],work:[2,3,4,5,8,9,11,12,16,23,24,25,26,31,34,40,41,42,45,50,51,53,54,56,57,58,63,66,70,73,76],workaround:[52,53,54,59],worker:[16,24,51,53],workflow:16,workshop:[23,76],workspac:16,workstat:23,world:[11,16,23,54,56,76],worst:[16,58],worth:56,would:[2,3,4,10,13,16,28,29,30,31,33,36,40,41,42,43,45,52,53,54,56,57,58,59,61,63,65,66,70,71,74],wpsatz:5,wrap:[9,11,12,16,35,37,52],wrapper:[16,52,66,70,71],write:[3,4,8,10,12,13,16,23,24,25,26,28,30,31,32,33,37,38,42,50,52,53,54,56,57,58,62,65,66,70,72,74],writer:[16,28,54],written:[2,3,5,10,12,16,23,25,27,28,33,34,35,36,41,42,43,45,51,52,53,54,56,63,70,72,73],wrong:[2,3,16,23,43,50,53,65,71],wrongli:[16,45],wrongplu:33,wrote:[10,16,23],wrt:[16,23],ws:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wse:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wsl:51,wso:5,wt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wte:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wteg:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],wtm:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],www:[16,23,24,26,49,74,76],x0:[3,12,16,36,42,43,53,65,70],x1:[3,9,12,16,26,41,53,56,58,59,71],x1p:35,x2:[3,26,41,58,59,71],x3:[26,70,71],x3p1:70,x3p2:70,x:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],x_1:[7,25,33,34],x_:[7,33],x_j:33,x_k:[25,33],x_m:33,x_n:7,xa:56,xavier:[16,76],xb:56,xcolor:74,xdg:[16,52],xdg_config_hom:[16,50,51],xdg_data_dir:[16,50],xdg_data_hom:[16,50,52],xi:16,xia:16,xl:56,xlia:5,xlra:5,xmailserv:76,xml:[16,23],xn:[3,9,16,56],xnia:5,xnra:5,xo:16,xor:16,xorb:[16,26,58,61],xorb_comm:58,xp:16,xpsatz:5,xs:[57,63,66],xso:5,xx:16,xxx:[13,50],xxx_scope:16,xxy:10,xyz:16,xz:10,y0:[3,12,42],y13:65,y1:[12,26,41,45,58],y2:[26,41,58],y3:26,y:[2,3,4,5,9,10,11,12,13,16,23,25,26,27,30,33,34,35,36,37,39,40,41,42,43,45,51,53,54,56,57,58,61,63,65,66,70,76],y_1:[33,37],y_:33,y_gt1:56,y_j:33,y_lt2:56,y_lt3:56,y_m:33,y_n:37,yale:16,yang:16,yann:[16,23],yannick:16,yao:16,ybertot:16,ye:[4,9,10,13,16,28,33,36,41,50,52,58,66],year:[16,23],yellow:[16,51],yet:[2,16,41,42,45,51,53,54,56,57,59,65,71],yice:16,yield:[4,10,16,23,30,45,53,54,57,66,70],yishuai:16,ym:56,ymmv:16,yojson:52,yop:23,york:76,yoshihiro:16,you:[2,3,4,7,8,10,12,13,14,15,16,23,24,26,28,31,33,34,36,40,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,72,73,74],your:[2,3,8,10,13,14,16,24,28,50,51,53,54,56,57,58,59,61,65,70,72,73,74],ype:76,ys:[45,57,66],ystem:76,yusuk:16,yve:[16,23,71],yx:10,yyy_scop:16,yz:10,z0:[10,16,70],z2nat:16,z3:16,z:[3,5,7,10,12,13,16,23,25,26,27,28,33,34,36,39,40,41,43,51,53,54,56,57,58,59,63,65,66,70],z_div_mod_eq:16,z_div_mod_eq_ful:16,z_le_gt_dec:16,z_lt_induct:16,z_lt_le_dec:16,z_scope:[5,10,16,26,65,70],za:70,zaliva:16,zar:16,zarith:[5,10,16,23,26,28,52,56,59,65],zarith_aux:16,zarith_bas:16,zarith_base_modul:16,zarithr:10,zbitwis:16,zchines:23,zcomplement:[16,23],zdigit:16,zdiv:16,zdiv_eucl_po:16,zeimer:16,zeldovich:16,zenon:16,zero:[3,7,10,16,25,26,36,41,45,52,53,54,57,58,59,63],zeroon:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76],zeta:[16,23,30,54,63],zfc:23,zgt_square_simpl:16,zhong:76,zifi:[16,24],zify_convert_to_euclidean_division_equations_flag:5,zify_plugin:[10,26,28,35,53,54,56,59,65],zify_post_hook:[5,16],zify_pre_hook:[5,16],zifybool:[5,16],zifyclass:[5,16,56],zifycomparison:5,zifyinst:5,zifyint63:16,zifyn:[5,16],zifynat:[5,16],zifypow:16,zifysint63:5,zifyuint63:5,ziliani:[16,76],zim19:[73,76],zimmerman:[16,23],zimmermann:[16,76],zinc:[16,63,76],zine:76,zle:16,zle_0_plu:16,zle_mult_simpl:16,zle_zmult_pos_right:16,zle_zmult_right2:16,zlogarithm:[16,23],zlt_gt_succ:16,zlt_square_simpl:16,zlt_succ_gt:16,zmax:16,zmin:16,zminmax:16,zmisc:16,zmod:16,zmod_neg_bound:16,zmod_pos_bound:16,zmodulo:16,zmult:23,zmult_1_n:16,zmult_assoc:16,zmult_assoc_l:16,zmult_comm:10,zmult_le_compat_r:16,zmult_minus_distr:16,zmult_on:16,zmult_zminus_distr_l:16,zmult_zminus_distr_r:16,zn2z:16,znumtheori:16,zodiv:16,zplu:16,zplus_assoc:16,zplus_assoc_l:16,zplus_comm:16,zpo:16,zpower:[16,23],zpred:16,zsgn:23,zsqrt_compat:16,zulip:[16,51,53],zwanenburg:23,zx:10,zy:10,zyuzin:16},titles:["<no title>","<no title>","Program extraction","Generalized rewriting","Implicit Coercions","Micromega: solvers for arithmetic goals over ordered rings","Program derivation","Nsatz: a solver for equalities in integral domains","Asynchronous and Parallel Proof Processing","Program","ring and field: solvers for polynomial and rational equations","SProp (proof irrelevant propositions)","Typeclasses","Polymorphic Universes","History and recent changes","Indexes","Recent changes","Attribute index","Command index","Errors and warnings index","Flags, options and tables index","Tactic index","General index","Early history of Coq","Introduction and Contents","Typing rules","The Coq library","Functions and assumptions","Basic notions and conventions","Coinductive types and corecursive functions","Conversion rules","Definitions","Core language","Inductive types and recursive functions","The Module System","Primitive objects","Record types","Sections","Sorts","Variants and the match construct","Setting properties of a function's arguments","Canonical Structures","Existential variables","Implicit arguments","Language extensions","Extended pattern matching","<no title>","<no title>","<no title>","<no title>","Coq commands","CoqIDE","Building Coq Projects","Ltac","Ltac2","<no title>","The SSReflect proof language","Tactics","Commands","Programmable proof search","Automatic solvers and programmable tactics","Solvers for logic and equality","Creating new tactics","Reasoning with equalities","Basic proof writing","Proof mode","Reasoning with inductive types","<no title>","Glossary index","<no title>","Syntax extensions and notation scopes","Functional induction","Libraries and plugins","Writing Coq libraries and plugins","Documenting Coq files with coqdoc","Command-line and graphical tools","Bibliography"],titleterms:{"0":[16,23],"0beta":16,"1":[16,23,36],"10":16,"11":16,"12":16,"13":16,"14":16,"15":16,"16":16,"17":16,"18":16,"19":16,"1beta":16,"1gamma":16,"2":[16,23,36],"3":[16,23,70],"4":[16,23],"4beta":16,"4beta2":16,"5":[16,23],"5beta1":16,"5beta2":16,"5beta3":16,"5pl1":16,"5pl2":16,"5pl3":16,"6":[16,23],"6beta1":16,"7":[16,23],"8":16,"9":16,"\u03b1":30,"\u03b2":30,"\u03b4":30,"\u03b6":30,"\u03b7":30,"\u03b9":30,"abstract":[56,65],"boolean":[45,53,56],"case":[5,23,39,51,56,57,66],"catch":[53,54],"class":[3,4,36,54,70],"default":[40,45],"do":[10,53],"float":[26,35],"function":[4,27,29,33,40,43,53,59,71],"long":23,"new":[3,10,16,23,34,52,56,62],"short":5,"static":54,"switch":[54,56],"try":53,A:[2,13,34,57,66],In:54,Is:10,No:52,One:56,The:[10,25,26,33,34,43,52,56,70,74],_coqproject:52,abbrevi:[54,56,70],about:[7,45,70],access:[26,36],ackermann:59,acknowledg:56,activ:4,ad:[3,10,51],addit:2,advanc:[56,71],algorithm:63,alia:73,alias:45,altern:[40,53],alwai:63,ambigu:3,an:[34,56,58,66],analysi:66,annot:8,anonym:[36,56],antiquot:54,api:54,appendix:24,appli:[42,56,57,63,66],applic:[4,27,43,53,57],ar:[56,65],argument:[2,36,40,43,45,52,56,66,70],arithmet:[5,26],ariti:33,arrai:35,ask:9,assert:31,assert_fail:53,assert_succe:53,assign:56,associ:70,assumpt:[27,56],asynchron:[8,51],attribut:[4,16,17,28,34],autom:59,automat:[8,10,40,42,43,60,66],avail:4,avoid:2,axiom:2,b:57,backtrac:53,backtrack:[53,54,58],backward:[3,57],basic:[11,26,28,51,52,53,56,64,70],batch:[8,50],beta1:16,beta2:16,beta3:16,beta:30,between:[2,54,58,65],bibliographi:76,bidirection:40,bind:[12,40,51,54,57,70],binder:[3,27,43,56,70],block:[8,56],bookkeep:56,both:70,bound:70,brace:65,branch:[53,56],breakpoint:51,buffer:51,build:[12,52],built:54,bullet:[56,65],calcul:65,calculu:25,call:[51,54],can:42,canon:41,cast:31,casual:43,caveat:[8,29],cell:54,chain:56,chang:[14,16,23,54],charact:51,check:53,checker:50,classic:57,claus:[36,45,57],clear:56,co:29,code:2,coercion:[4,45,70],cofix:29,coinduct:29,combin:[43,57,66],command:[3,12,16,18,23,34,50,51,56,58,65,66,70,74,75],comment:52,common:[52,57],compact:41,comparison:[53,54],compat:[16,36,54,56,73],compil:[16,50,51,52,58],complex:70,compon:54,compound:57,comput:[52,53,63],conclus:58,concret:[10,23],condit:[33,53,56],configur:52,conflict:2,congruenc:56,connect:26,constant:[3,36,58,70],constraint:[13,65],construct:[11,23,25,33,36,39,53,58],constructor:[33,66],content:24,context:[3,12,53,54,56,57],contextu:[43,56],continu:[3,40,43],contradict:57,contravari:3,contribut:[2,23,26],control:[9,34,43,45,53,56,57,58,63,65],convent:[28,45],convers:[13,30,63],convert:30,coq:[2,10,23,24,26,50,51,52,56,59,70,73,74],coq_makefil:52,coqc:[50,52],coqchk:50,coqdep:52,coqdoc:74,coqid:[16,51],coqmakefil:52,coqrc:50,coqtop:50,core:32,corecurs:29,correct:33,count:53,covari:3,creat:[34,36,42,59,62],cumul:13,curli:65,custom:[50,51,70],cut:[5,53],cycl:65,databas:59,datatyp:26,deactiv:43,deal:10,debug:[11,53,54,58],debugg:[51,53],decid:[53,66],decis:5,declar:[3,12,37,40,41,43,54,56,65,66],defect:56,defin:[33,34,36,53,54,59],definit:[3,9,11,13,29,31,33,36,39,45,53,54,56,63,70],delai:[54,65],delta:30,demonstr:13,depend:[16,45,52,57,58,66],deprec:[3,73],deriv:[6,41,66],descript:5,design:54,destruct:66,destructor:33,destructur:[45,56],detail:[2,16,23,52],detect:53,diff:65,differ:[2,43,65],disabl:70,disambigu:58,discharg:56,discuss:10,disjunct:45,displai:[4,42,43,51,58,70],divis:2,document:[28,52,74],doe:[10,45],doesn:63,domain:7,dune:52,dynam:54,e:42,eappli:42,earli:23,eauto:12,edit:51,effect:[40,54],effici:23,elabor:9,element:[53,57],elim:56,elimin:[2,45,56],embed:52,emphasi:74,enabl:[3,65,70],encod:[11,51],end:[33,37],enter:65,entri:[56,70],environ:[50,58],equal:[7,9,26,61,63,66],equat:[10,56],equival:[56,57],error:[8,19,53,54],escap:74,essenti:28,euclidean:2,eval:[53,63],evalu:[53,54],even:66,exact:56,exactly_onc:53,exampl:[2,3,4,5,6,10,13,16,25,26,27,28,29,30,33,34,36,37,39,40,41,42,43,45,50,51,52,53,54,56,57,58,59,61,63,65,66,70,71,73,74],except:54,execut:53,exist:[2,23,34],existenti:[42,56],exit:65,expans:[30,45],explicit:[13,42,43,56],explicitli:43,expos:58,express:[45,53,54,70],extend:[45,56],extens:[3,23,44,45,56,70],extra:[2,58],extract:[2,16,23],factor:[45,70],fail:[45,53,56],failur:53,famili:56,fast:[58,63],fatal:54,field:[10,34,36],file:[50,51,52,58,73,74],filenam:[2,52],fill:53,first:[3,33,45,53,56],fix:[30,33],fixpoint:[9,33],flag:[16,20,28,58],flow:[53,56,57],focus:[53,65],fold:63,fold_right:63,follow:43,foral:27,forbidden:52,forest:66,form:33,forward:57,found:26,frequent:9,fresh:53,from:[34,43,54],full:58,fun:27,function_scop:70,functor:34,gallina:56,gener:[2,3,4,10,13,22,28,43,53,54,56,66,70,71],get:[53,56],give:43,given:33,global:[13,53,70],glossari:68,goal:[5,10,53,54,56,57,65,66],grammar:[23,52],graph:4,graphic:75,guard:53,hand:45,have:[53,56],helper:66,hidden:45,hide:74,hierarchi:[12,41],high:5,hint:[40,56,58,59],histor:23,histori:[10,14,23],hole:53,horror:2,how:[10,65],html:74,hyperlink:74,hypothes:[53,54,57,58,65],hypothesi:[53,57],ident:[4,53],identifi:[58,70],idtac:53,implicit:[4,40,43,45,59,70],implicits_alt:40,impred:25,includ:57,incompat:[3,16],indent:56,index:[15,17,18,19,20,21,22,33,56,68],induct:[2,25,33,39,45,66,70,71],infer:[16,42,43],infix:70,inform:[65,70],infrastructur:16,inherit:[4,70],inlin:[2,58],innermost:3,input:51,insert:43,insid:[52,53,74],instal:52,instanc:[12,42],integ:[5,26,35,70],integr:7,interact:[8,34,43,50,53,54,56],interdepend:52,interfac:50,intern:58,interpret:[56,70],intro:[56,57],introduc:73,introduct:[3,24,56],intuitionist:53,invers:66,inversion_sigma:66,invoc:57,involv:[45,70],io:54,irrefut:45,irrelev:[11,30],is_cofix:53,is_fix:53,is_proj:53,isomorph:53,issu:[11,16,56],item:[34,56],iter:56,j:52,kei:51,kernel:16,keyword:[57,58],kind:43,knowledg:43,languag:[2,16,23,24,32,44,54,56],larger:66,late:52,latex:[52,74],launch:50,layer:54,lazy_match:54,lazymatch:53,least:53,left:66,leibniz:63,lemma:[9,26,65],let:[23,31,45,53,56],level:[5,26,28,29,31,33,54],lexic:28,lia:5,librari:[16,23,26,50,52,58,59,70,72,73],licit:56,limit:8,line:[16,50,74,75],linear:5,liner:56,list:[26,53,54,74],load:[50,52,58],local:[13,28,34,37,45,52,53,56,57,59,70],locat:[58,70],lock:56,logic:[26,52,53,61],loop:53,low:54,lra:5,ltac1:54,ltac2:[16,54],ltac:[16,53,54],maccarthi:59,machin:58,macro:53,main:23,mainten:65,make:53,man:52,manag:[51,57,65],manipul:53,manual:[16,40,43],map:10,match:[30,33,36,39,45,53,54,56],materi:74,maxim:43,mechan:56,memori:65,meta:54,metavari:56,micromega:5,minim:13,miscellan:[16,23],ml:[2,54],mode:[8,43,51,54,56,65],modifi:52,modul:[4,34,52],monomorph:13,more:7,morphism:3,move:[56,57],multi:56,multi_match:54,multimatch:53,multipl:[36,40,45,52,53,54,56],museum:2,must:45,mutabl:54,mutual:33,name:[23,34,36,53,65],nat:[26,28],nativ:[16,52],native_comput:[52,63],natur:[53,54,66],neg:33,nest:[33,45],nia:5,non:[5,11,33,43,53,54,57,66,70],noncumul:13,nonreflex:3,nonsymmetr:3,notat:[16,26,41,53,54,58,70],notion:28,novelti:23,nra:5,nsatz:7,number:[8,26,53,70],numgoal:53,object:[33,35,45,73],oblig:9,ocaml:58,occurr:[33,56,57,66],odd:66,old:16,omit:34,onc:53,opam:52,opaqu:12,open:70,oper:58,optim:[2,53],option:[2,16,20,28,50,65,74],or_and_intropattern:66,order:[5,57],orient:57,other:[16,43,65],outermost:3,over:[5,9,54,56],overflow:28,overload:41,overview:[52,54],own:52,packag:52,page:52,parallel:8,paramet:[34,45,50,56],parameter:[12,33,70],parametr:[3,45,56],pars:[23,43,54,70],part:[58,74],partial:57,path:[52,58],pattern:[43,45,53,54,56,57,58,70],peano:26,perform:[52,57],permut:53,phrase:52,plane:5,plugin:[72,73],polymorph:[13,33,56],polynomi:10,posit:33,positivstellensatz:5,potenti:16,pre:5,preced:70,precompil:52,predefin:70,predic:[45,56,66],prefer:51,prelud:26,premis:[57,66],present:[4,13],pretti:[42,43,45,74],primit:[35,36,58,70],principl:[66,71,74],print:[3,4,13,36,42,43,45,53,54,58,70,74],privat:39,procedur:5,process:[5,8,53],produc:50,product:57,profil:[50,53,54],program:[2,6,9,26,54],programm:[59,60],progress:53,project:[36,52],proof:[5,8,11,13,24,30,31,45,53,56,57,59,64,65],properti:[40,53,70],proposit:[11,26,53],prove:[53,65],provid:[3,45],psatz:5,qualifi:34,quantifi:26,queri:[51,58],question:9,quit:58,quot:52,quotat:54,radix:70,ration:[5,10],real:[5,16,26],realiz:2,reason:[57,63,66],recent:[14,16],record:[4,36],recurr:56,recurs:[26,29,33,54,70,71],redex:56,reduct:[23,30,33,36,54,58,63],refer:[16,53,58],reflect:56,refut:5,regist:58,registr:58,relat:3,remark:56,renam:40,reorder:[53,65],repeat:53,repetit:56,request:[58,65],reserv:[57,70],resili:8,resolut:[42,43,56],reus:36,revers:[4,43,53,54,63],revgoal:65,rewrit:[3,56,63,66],right:[45,66],ring:[5,10],root:[23,52],rule:[25,30,33,37,56,63,70,74],run:[51,53],s:[2,26,40],same:[45,52],save:51,scheme:[66,71],scheme_typ:66,scope:[34,40,70],script:[50,51],search:[58,59],searchpattern:58,searchrewrit:58,second:[33,45,53,57],section:[4,12,13,37,65,74],select:56,selector:[53,56],semant:54,separ:65,sequenc:53,set:[2,12,25,28,36,40,56,57,59,65],setoid:[3,63],setup:52,share:34,shelv:65,shelve_unifi:65,show:[65,74],side:[10,45],simpl:[27,30,33,34,54,63,70],simple_bind:57,simplif:56,simultan:70,singl:[50,53],soft:53,solv:[9,42,53,65],solver:[5,7,10,60,61],some:[2,26,34],sort:[13,33,38],sourc:[16,74],special:[56,57],specif:[16,24,26],specifi:13,split:[5,52],sprop:11,ssreflect:[16,56],stack:[28,51],standard:[16,23,26,54,56,59,70],start:[50,56],state:65,statu:58,step:[56,65],strategi:[3,45,63],strict:[11,33,43,54],strictli:33,string:70,structur:[10,41,56],style:74,sub:34,subgoal:65,subpattern:45,subrel:3,subset:52,substitut:53,substructur:12,subterm:[42,45],subtyp:[25,43],succe:53,success:53,suff:56,suggest:8,summari:[12,16,23],superclass:12,support:[28,51],survei:26,swap:65,symbol:[51,53],synopsi:56,syntact:[9,53,54],syntax:[3,16,23,28,43,45,53,54,56,70],system:[2,34],t:63,tabl:[20,28],tactic:[3,5,10,16,21,23,26,42,53,54,56,57,59,60,62,63,66,70,71,73],target:[2,52],templat:[33,51],term:[25,53,54,63,70],termin:[11,56],test:[52,53],theorem:57,theori:33,thi:10,time:[50,52,53],time_constr:53,timeout:53,tool:[16,23,75],top:[29,31,33],toplevel:53,trace:53,trail:43,transit:54,transpar:12,tree:66,tryif:53,two:[34,53],type:[2,3,4,16,25,26,27,29,31,33,34,36,37,39,43,45,53,54,56,58,66,70],type_scop:70,type_term:53,typeclass:[12,56],uip:11,under:[3,56],understand:45,undo:63,unfold:[3,40,63],unicod:51,unif:[13,57,65],uninstal:52,univers:13,unlock:56,unreleas:16,unset:28,until:57,untyp:53,unus:45,up:50,upgrad:52,us:[4,13,24,34,36,37,42,43,45,50,51,52,53,57,63,65,66,70],usag:[3,10,56,65,74],useless:2,user:[2,3,23,26],valu:[3,45,53,54],variabl:[10,42,43,45,50,51,54,65],varianc:13,variant:[39,45,56,57],variou:66,verbatim:74,version:[16,23,52],view:[5,56],vm_comput:63,vo:50,vocabulari:28,vs:[42,54,56],wai:[53,54],warn:[19,52],weak:13,well:[26,33],what:10,when:[43,45,56],wildcard:[45,56],wlog:56,work:[10,52,65],worker:8,write:[45,64,73],your:52,zifi:5}}) \ No newline at end of file diff --git a/master/stdlib/Coq.Arith.Arith_base.html b/master/stdlib/Coq.Arith.Arith_base.html index 6f6252b2d9..aa211912fd 100644 --- a/master/stdlib/Coq.Arith.Arith_base.html +++ b/master/stdlib/Coq.Arith.Arith_base.html @@ -58,7 +58,7 @@

Library Coq.Arith.Arith_base

-

arith hint database

+

arith hint database

@@ -80,7 +80,7 @@

Library Coq.Arith.Arith_base

-

lt and le

+

lt and le

diff --git a/master/stdlib/Coq.Arith.EqNat.html b/master/stdlib/Coq.Arith.EqNat.html index 1b4ac86b90..3812e73009 100644 --- a/master/stdlib/Coq.Arith.EqNat.html +++ b/master/stdlib/Coq.Arith.EqNat.html @@ -56,7 +56,7 @@

Library Coq.Arith.EqNat

Equality on natural numbers
-

Propositional equality

+

Propositional equality

diff --git a/master/stdlib/Coq.Arith.PeanoNat.html b/master/stdlib/Coq.Arith.PeanoNat.html index f07cdcf96a..4ae04740df 100644 --- a/master/stdlib/Coq.Arith.PeanoNat.html +++ b/master/stdlib/Coq.Arith.PeanoNat.html @@ -149,7 +149,7 @@

Library Coq.Arith.PeanoNat

-

Remaining constants not defined in Coq.Init.Nat

+

Remaining constants not defined in Coq.Init.Nat

@@ -167,7 +167,7 @@

Library Coq.Arith.PeanoNat

-

Basic specifications : pred add sub mul

+

Basic specifications : pred add sub mul

@@ -209,7 +209,7 @@

Library Coq.Arith.PeanoNat

-

Boolean comparisons

+

Boolean comparisons

@@ -241,7 +241,7 @@

Library Coq.Arith.PeanoNat

-

Decidability of equality over nat.

+

Decidability of equality over nat.

@@ -253,7 +253,7 @@

Library Coq.Arith.PeanoNat

-

Ternary comparison

+

Ternary comparison

@@ -282,7 +282,7 @@

Library Coq.Arith.PeanoNat

-

Minimum, maximum

+

Minimum, maximum

@@ -328,7 +328,7 @@

Library Coq.Arith.PeanoNat

-

Power

+

Power

@@ -346,7 +346,7 @@

Library Coq.Arith.PeanoNat

-

Square

+

Square

@@ -358,7 +358,7 @@

Library Coq.Arith.PeanoNat

-

Parity

+

Parity

@@ -402,7 +402,7 @@

Library Coq.Arith.PeanoNat

-

Division

+

Division

@@ -431,7 +431,7 @@

Library Coq.Arith.PeanoNat

-

Square root

+

Square root

@@ -455,7 +455,7 @@

Library Coq.Arith.PeanoNat

-

Logarithm

+

Logarithm

@@ -477,7 +477,7 @@

Library Coq.Arith.PeanoNat

-

Properties of iter

+

Properties of iter

@@ -529,7 +529,7 @@

Library Coq.Arith.PeanoNat

-

Gcd

+

Gcd

@@ -557,7 +557,7 @@

Library Coq.Arith.PeanoNat

-

Bitwise operations

+

Bitwise operations

diff --git a/master/stdlib/Coq.Bool.Bool.html b/master/stdlib/Coq.Bool.Bool.html index 6f54c21692..0c71378022 100644 --- a/master/stdlib/Coq.Bool.Bool.html +++ b/master/stdlib/Coq.Bool.Bool.html @@ -90,7 +90,7 @@

Library Coq.Bool.Bool

-

Decidability

+

Decidability

@@ -102,7 +102,7 @@

Library Coq.Bool.Bool

-

Discrimination

+

Discrimination

@@ -138,7 +138,7 @@

Library Coq.Bool.Bool

-

Order on booleans

+

Order on booleans

@@ -180,7 +180,7 @@

Library Coq.Bool.Bool

-

Equality

+

Equality

@@ -223,7 +223,7 @@

Library Coq.Bool.Bool

-

A synonym of if on bool

+

A synonym of if on bool

@@ -242,7 +242,7 @@

Library Coq.Bool.Bool

-

De Morgan laws

+

De Morgan laws

@@ -257,7 +257,7 @@

Library Coq.Bool.Bool

-

Properties of negb

+

Properties of negb

@@ -299,7 +299,7 @@

Library Coq.Bool.Bool

-

Properties of orb

+

Properties of orb

@@ -427,7 +427,7 @@

Library Coq.Bool.Bool

-

Properties of andb

+

Properties of andb

@@ -544,7 +544,7 @@

Library Coq.Bool.Bool

-

Properties mixing andb and orb

+

Properties mixing andb and orb

@@ -594,7 +594,7 @@

Library Coq.Bool.Bool

-

Properties of implb

+

Properties of implb

@@ -648,7 +648,7 @@

Library Coq.Bool.Bool

-

Properties of xorb

+

Properties of xorb

@@ -810,7 +810,7 @@

Library Coq.Bool.Bool

-

Reflection of bool into Prop

+

Reflection of bool into Prop

@@ -924,7 +924,7 @@

Library Coq.Bool.Bool

-

Alternative versions of andb and orb

+

Alternative versions of andb and orb

with lazy behavior (for vm_compute)
@@ -952,7 +952,7 @@

Library Coq.Bool.Bool

-

Reflect: a specialized inductive type for

+

Reflect: a specialized inductive type for

relating propositions and booleans, as popularized by the Ssreflect library. diff --git a/master/stdlib/Coq.Bool.BoolOrder.html b/master/stdlib/Coq.Bool.BoolOrder.html index ebc31edf7c..12c8fb86e4 100644 --- a/master/stdlib/Coq.Bool.BoolOrder.html +++ b/master/stdlib/Coq.Bool.BoolOrder.html @@ -66,7 +66,7 @@

Library Coq.Bool.BoolOrder

-

Order le

+

Order le

@@ -92,7 +92,7 @@

Library Coq.Bool.BoolOrder

-

Strict order lt

+

Strict order lt

@@ -127,7 +127,7 @@

Library Coq.Bool.BoolOrder

-

Order structures

+

Order structures

diff --git a/master/stdlib/Coq.Classes.CEquivalence.html b/master/stdlib/Coq.Classes.CEquivalence.html index 7e68223c5a..32b9351832 100644 --- a/master/stdlib/Coq.Classes.CEquivalence.html +++ b/master/stdlib/Coq.Classes.CEquivalence.html @@ -49,7 +49,7 @@

Library Coq.Classes.CEquivalence

-

Typeclass-based setoids. Definitions on Equivalence.

+

Typeclass-based setoids. Definitions on Equivalence.

diff --git a/master/stdlib/Coq.Classes.CMorphisms.html b/master/stdlib/Coq.Classes.CMorphisms.html index ddaeb408de..f7a88508bb 100644 --- a/master/stdlib/Coq.Classes.CMorphisms.html +++ b/master/stdlib/Coq.Classes.CMorphisms.html @@ -49,7 +49,7 @@

Library Coq.Classes.CMorphisms

-

Typeclass-based morphism definition and standard, minimal instances

+

Typeclass-based morphism definition and standard, minimal instances

@@ -75,7 +75,7 @@

Library Coq.Classes.CMorphisms

-

Morphisms.

+

Morphisms.

diff --git a/master/stdlib/Coq.Classes.CRelationClasses.html b/master/stdlib/Coq.Classes.CRelationClasses.html index c103951027..b3a498b1d4 100644 --- a/master/stdlib/Coq.Classes.CRelationClasses.html +++ b/master/stdlib/Coq.Classes.CRelationClasses.html @@ -49,7 +49,7 @@

Library Coq.Classes.CRelationClasses

-

Typeclass-based relations, tactics and standard instances

+

Typeclass-based relations, tactics and standard instances

@@ -451,7 +451,7 @@

Library Coq.Classes.CRelationClasses

We can already dualize all these properties.
-

Standard instances.

+

Standard instances.

@@ -604,7 +604,7 @@

Library Coq.Classes.CRelationClasses

-

Partial Order.

+

Partial Order.

A partial order is a preorder which is additionally antisymmetric. We give an equivalent definition, up-to an equivalence crelation diff --git a/master/stdlib/Coq.Classes.DecidableClass.html b/master/stdlib/Coq.Classes.DecidableClass.html index 319ef71b56..e20edf88a8 100644 --- a/master/stdlib/Coq.Classes.DecidableClass.html +++ b/master/stdlib/Coq.Classes.DecidableClass.html @@ -49,7 +49,7 @@

Library Coq.Classes.DecidableClass

-

A typeclass to ease the handling of decidable properties.

+

A typeclass to ease the handling of decidable properties.

diff --git a/master/stdlib/Coq.Classes.EquivDec.html b/master/stdlib/Coq.Classes.EquivDec.html index 160e3d9186..efa479c63a 100644 --- a/master/stdlib/Coq.Classes.EquivDec.html +++ b/master/stdlib/Coq.Classes.EquivDec.html @@ -49,7 +49,7 @@

Library Coq.Classes.EquivDec

-

Decidable equivalences.

+

Decidable equivalences.

diff --git a/master/stdlib/Coq.Classes.Equivalence.html b/master/stdlib/Coq.Classes.Equivalence.html index ccd71bc842..bc6d4950b1 100644 --- a/master/stdlib/Coq.Classes.Equivalence.html +++ b/master/stdlib/Coq.Classes.Equivalence.html @@ -49,7 +49,7 @@

Library Coq.Classes.Equivalence

-

Typeclass-based setoids. Definitions on Equivalence.

+

Typeclass-based setoids. Definitions on Equivalence.

diff --git a/master/stdlib/Coq.Classes.Init.html b/master/stdlib/Coq.Classes.Init.html index 3ecde70e4c..ec879a87ef 100644 --- a/master/stdlib/Coq.Classes.Init.html +++ b/master/stdlib/Coq.Classes.Init.html @@ -49,7 +49,7 @@

Library Coq.Classes.Init

-

Initialization code for typeclasses, setting up the default tactic

+

Initialization code for typeclasses, setting up the default tactic

for instance search. diff --git a/master/stdlib/Coq.Classes.Morphisms.html b/master/stdlib/Coq.Classes.Morphisms.html index d2bf2616ae..1bb59e088b 100644 --- a/master/stdlib/Coq.Classes.Morphisms.html +++ b/master/stdlib/Coq.Classes.Morphisms.html @@ -49,7 +49,7 @@

Library Coq.Classes.Morphisms

-

Typeclass-based morphism definition and standard, minimal instances

+

Typeclass-based morphism definition and standard, minimal instances

@@ -74,7 +74,7 @@

Library Coq.Classes.Morphisms

-

Morphisms.

+

Morphisms.

diff --git a/master/stdlib/Coq.Classes.Morphisms_Prop.html b/master/stdlib/Coq.Classes.Morphisms_Prop.html index 7360e914cc..fcb4e22ee6 100644 --- a/master/stdlib/Coq.Classes.Morphisms_Prop.html +++ b/master/stdlib/Coq.Classes.Morphisms_Prop.html @@ -49,7 +49,7 @@

Library Coq.Classes.Morphisms_Prop

-

Proper instances for propositional connectives.

+

Proper instances for propositional connectives.

diff --git a/master/stdlib/Coq.Classes.Morphisms_Relations.html b/master/stdlib/Coq.Classes.Morphisms_Relations.html index bc67b0ddba..6642e4871c 100644 --- a/master/stdlib/Coq.Classes.Morphisms_Relations.html +++ b/master/stdlib/Coq.Classes.Morphisms_Relations.html @@ -49,7 +49,7 @@

Library Coq.Classes.Morphisms_Relations

-

Morphism instances for relations.

+

Morphism instances for relations.

diff --git a/master/stdlib/Coq.Classes.RelationClasses.html b/master/stdlib/Coq.Classes.RelationClasses.html index ded7c6e1f1..f39f3c183f 100644 --- a/master/stdlib/Coq.Classes.RelationClasses.html +++ b/master/stdlib/Coq.Classes.RelationClasses.html @@ -49,7 +49,7 @@

Library Coq.Classes.RelationClasses

-

Typeclass-based relations, tactics and standard instances

+

Typeclass-based relations, tactics and standard instances

@@ -480,7 +480,7 @@

Library Coq.Classes.RelationClasses

We can already dualize all these properties.
-

Standard instances.

+

Standard instances.

@@ -847,7 +847,7 @@

Library Coq.Classes.RelationClasses

-

Partial Order.

+

Partial Order.

A partial order is a preorder which is additionally antisymmetric. We give an equivalent definition, up-to an equivalence relation diff --git a/master/stdlib/Coq.Classes.RelationPairs.html b/master/stdlib/Coq.Classes.RelationPairs.html index 2f012e793c..5281510ecb 100644 --- a/master/stdlib/Coq.Classes.RelationPairs.html +++ b/master/stdlib/Coq.Classes.RelationPairs.html @@ -49,7 +49,7 @@

Library Coq.Classes.RelationPairs

-

Relations over pairs

+

Relations over pairs

diff --git a/master/stdlib/Coq.Classes.SetoidClass.html b/master/stdlib/Coq.Classes.SetoidClass.html index 089ade0b6e..b281646dde 100644 --- a/master/stdlib/Coq.Classes.SetoidClass.html +++ b/master/stdlib/Coq.Classes.SetoidClass.html @@ -49,7 +49,7 @@

Library Coq.Classes.SetoidClass

-

Typeclass-based setoids, tactics and standard instances.

+

Typeclass-based setoids, tactics and standard instances.

diff --git a/master/stdlib/Coq.Classes.SetoidDec.html b/master/stdlib/Coq.Classes.SetoidDec.html index 17ddc80d4e..20a8452e3d 100644 --- a/master/stdlib/Coq.Classes.SetoidDec.html +++ b/master/stdlib/Coq.Classes.SetoidDec.html @@ -49,7 +49,7 @@

Library Coq.Classes.SetoidDec

-

Decidable setoid equality theory.

+

Decidable setoid equality theory.

diff --git a/master/stdlib/Coq.Classes.SetoidTactics.html b/master/stdlib/Coq.Classes.SetoidTactics.html index 1b114c61d0..720f17a322 100644 --- a/master/stdlib/Coq.Classes.SetoidTactics.html +++ b/master/stdlib/Coq.Classes.SetoidTactics.html @@ -49,7 +49,7 @@

Library Coq.Classes.SetoidTactics

-

Tactics for typeclass-based setoids.

+

Tactics for typeclass-based setoids.

diff --git a/master/stdlib/Coq.FSets.FMapAVL.html b/master/stdlib/Coq.FSets.FMapAVL.html index e05ad6f3a8..38a36bf094 100644 --- a/master/stdlib/Coq.FSets.FMapAVL.html +++ b/master/stdlib/Coq.FSets.FMapAVL.html @@ -51,7 +51,7 @@

Library Coq.FSets.FMapAVL

-

FMapAVL

+

FMapAVL

@@ -88,7 +88,7 @@

Library Coq.FSets.FMapAVL

-

The Raw functor

+

The Raw functor

@@ -114,11 +114,11 @@

Library Coq.FSets.FMapAVL

-

Trees

+

Trees

-

Trees

+

Trees

@@ -150,7 +150,7 @@

Library Coq.FSets.FMapAVL

-

Basic functions on trees: height and cardinal

+

Basic functions on trees: height and cardinal

@@ -173,7 +173,7 @@

Library Coq.FSets.FMapAVL

-

Empty Map

+

Empty Map

@@ -185,7 +185,7 @@

Library Coq.FSets.FMapAVL

-

Emptyness test

+

Emptyness test

@@ -197,7 +197,7 @@

Library Coq.FSets.FMapAVL

-

Membership

+

Membership

@@ -232,7 +232,7 @@

Library Coq.FSets.FMapAVL

-

Helper functions

+

Helper functions

@@ -295,7 +295,7 @@

Library Coq.FSets.FMapAVL

-

Insertion

+

Insertion

@@ -316,7 +316,7 @@

Library Coq.FSets.FMapAVL

-

Extraction of minimum binding

+

Extraction of minimum binding

@@ -341,7 +341,7 @@

Library Coq.FSets.FMapAVL

-

Merging two trees

+

Merging two trees

@@ -367,7 +367,7 @@

Library Coq.FSets.FMapAVL

-

Deletion

+

Deletion

@@ -387,7 +387,7 @@

Library Coq.FSets.FMapAVL

-

join

+

join

@@ -416,7 +416,7 @@

Library Coq.FSets.FMapAVL

-

Splitting

+

Splitting

@@ -456,7 +456,7 @@

Library Coq.FSets.FMapAVL

-

Concatenation

+

Concatenation

@@ -480,7 +480,7 @@

Library Coq.FSets.FMapAVL

-

Elements

+

Elements

@@ -511,7 +511,7 @@

Library Coq.FSets.FMapAVL

-

Fold

+

Fold

@@ -527,7 +527,7 @@

Library Coq.FSets.FMapAVL

-

Comparison

+

Comparison

@@ -539,7 +539,7 @@

Library Coq.FSets.FMapAVL

-

Enumeration of the elements of a tree

+

Enumeration of the elements of a tree

@@ -638,7 +638,7 @@

Library Coq.FSets.FMapAVL

-

Map

+

Map

@@ -663,7 +663,7 @@

Library Coq.FSets.FMapAVL

-

Map with removal

+

Map with removal

@@ -684,7 +684,7 @@

Library Coq.FSets.FMapAVL

-

Optimized map2

+

Optimized map2

@@ -740,7 +740,7 @@

Library Coq.FSets.FMapAVL

-

Map2

+

Map2

@@ -770,7 +770,7 @@

Library Coq.FSets.FMapAVL

-

Invariants

+

Invariants

@@ -783,7 +783,7 @@

Library Coq.FSets.FMapAVL

-

Occurrence in a tree

+

Occurrence in a tree

@@ -813,7 +813,7 @@

Library Coq.FSets.FMapAVL

-

Binary search trees

+

Binary search trees

@@ -847,7 +847,7 @@

Library Coq.FSets.FMapAVL

-

Correctness proofs, isolated in a sub-module

+

Correctness proofs, isolated in a sub-module

@@ -875,7 +875,7 @@

Library Coq.FSets.FMapAVL

-

Automation and dedicated tactics.

+

Automation and dedicated tactics.

@@ -985,7 +985,7 @@

Library Coq.FSets.FMapAVL

-

Basic results about MapsTo, In, lt_tree, gt_tree, height

+

Basic results about MapsTo, In, lt_tree, gt_tree, height

@@ -1089,7 +1089,7 @@

Library Coq.FSets.FMapAVL

-

Empty map

+

Empty map

@@ -1107,7 +1107,7 @@

Library Coq.FSets.FMapAVL

-

Emptyness test

+

Emptyness test

@@ -1122,7 +1122,7 @@

Library Coq.FSets.FMapAVL

-

Membership

+

Membership

@@ -1176,7 +1176,7 @@

Library Coq.FSets.FMapAVL

-

Helper functions

+

Helper functions

@@ -1216,7 +1216,7 @@

Library Coq.FSets.FMapAVL

-

Insertion

+

Insertion

@@ -1250,7 +1250,7 @@

Library Coq.FSets.FMapAVL

-

Extraction of minimum binding

+

Extraction of minimum binding

@@ -1293,7 +1293,7 @@

Library Coq.FSets.FMapAVL

-

Merging two trees

+

Merging two trees

@@ -1315,7 +1315,7 @@

Library Coq.FSets.FMapAVL

-

Deletion

+

Deletion

@@ -1342,7 +1342,7 @@

Library Coq.FSets.FMapAVL

-

join

+

join

@@ -1366,7 +1366,7 @@

Library Coq.FSets.FMapAVL

-

split

+

split

@@ -1405,7 +1405,7 @@

Library Coq.FSets.FMapAVL

-

Concatenation

+

Concatenation

@@ -1431,7 +1431,7 @@

Library Coq.FSets.FMapAVL

-

Elements

+

Elements

@@ -1485,7 +1485,7 @@

Library Coq.FSets.FMapAVL

-

Fold

+

Fold

@@ -1513,7 +1513,7 @@

Library Coq.FSets.FMapAVL

-

Comparison

+

Comparison

@@ -1740,7 +1740,7 @@

Library Coq.FSets.FMapAVL

-

Encapsulation

+

Encapsulation

diff --git a/master/stdlib/Coq.FSets.FMapFacts.html b/master/stdlib/Coq.FSets.FMapFacts.html index 904c3d8a07..0f7fd41009 100644 --- a/master/stdlib/Coq.FSets.FMapFacts.html +++ b/master/stdlib/Coq.FSets.FMapFacts.html @@ -49,7 +49,7 @@

Library Coq.FSets.FMapFacts

-

Finite maps library

+

Finite maps library

@@ -76,7 +76,7 @@

Library Coq.FSets.FMapFacts

-

Facts about weak maps

+

Facts about weak maps

@@ -103,7 +103,7 @@

Library Coq.FSets.FMapFacts

-

Specifications written using equivalences

+

Specifications written using equivalences

@@ -260,7 +260,7 @@

Library Coq.FSets.FMapFacts

-

Specifications written using boolean predicates

+

Specifications written using boolean predicates

@@ -399,7 +399,7 @@

Library Coq.FSets.FMapFacts

-

Relations between Equal, Equiv and Equivb.

+

Relations between Equal, Equiv and Equivb.

@@ -461,7 +461,7 @@

Library Coq.FSets.FMapFacts

-

Equal is a setoid equality.

+

Equal is a setoid equality.

@@ -545,7 +545,7 @@

Library Coq.FSets.FMapFacts

-

Same facts for self-contained weak sets and for full maps

+

Same facts for self-contained weak sets and for full maps

@@ -558,7 +558,7 @@

Library Coq.FSets.FMapFacts

-

Additional Properties for weak maps

+

Additional Properties for weak maps

@@ -618,7 +618,7 @@

Library Coq.FSets.FMapFacts

-

Elements

+

Elements

@@ -633,7 +633,7 @@

Library Coq.FSets.FMapFacts

-

Conversions between maps and association lists.

+

Conversions between maps and association lists.

@@ -670,7 +670,7 @@

Library Coq.FSets.FMapFacts

-

Fold

+

Fold

@@ -686,7 +686,7 @@

Library Coq.FSets.FMapFacts

-

Induction principles about fold contributed by S. Lescuyer

+

Induction principles about fold contributed by S. Lescuyer

@@ -799,7 +799,7 @@

Library Coq.FSets.FMapFacts

-

Additional properties of fold

+

Additional properties of fold

@@ -894,7 +894,7 @@

Library Coq.FSets.FMapFacts

-

Cardinal

+

Cardinal

@@ -940,7 +940,7 @@

Library Coq.FSets.FMapFacts

-

Additional notions over maps

+

Additional notions over maps

@@ -958,7 +958,7 @@

Library Coq.FSets.FMapFacts

-

Emulation of some functions lacking in the interface

+

Emulation of some functions lacking in the interface

@@ -1185,7 +1185,7 @@

Library Coq.FSets.FMapFacts

-

Same Properties for self-contained weak maps and for full maps

+

Same Properties for self-contained weak maps and for full maps

@@ -1198,7 +1198,7 @@

Library Coq.FSets.FMapFacts

-

Properties specific to maps with ordered keys

+

Properties specific to maps with ordered keys

diff --git a/master/stdlib/Coq.FSets.FMapFullAVL.html b/master/stdlib/Coq.FSets.FMapFullAVL.html index 135602f4b5..ee4dbdb6e1 100644 --- a/master/stdlib/Coq.FSets.FMapFullAVL.html +++ b/master/stdlib/Coq.FSets.FMapFullAVL.html @@ -51,7 +51,7 @@

Library Coq.FSets.FMapFullAVL

-

FMapFullAVL

+

FMapFullAVL

@@ -119,7 +119,7 @@

Library Coq.FSets.FMapFullAVL

-

AVL trees

+

AVL trees

@@ -143,7 +143,7 @@

Library Coq.FSets.FMapFullAVL

-

Automation and dedicated tactics about avl.

+

Automation and dedicated tactics about avl.

@@ -181,7 +181,7 @@

Library Coq.FSets.FMapFullAVL

-

Basic results about avl, height

+

Basic results about avl, height

@@ -209,7 +209,7 @@

Library Coq.FSets.FMapFullAVL

-

Empty map

+

Empty map

@@ -221,7 +221,7 @@

Library Coq.FSets.FMapFullAVL

-

Helper functions

+

Helper functions

@@ -261,7 +261,7 @@

Library Coq.FSets.FMapFullAVL

-

Insertion

+

Insertion

@@ -279,7 +279,7 @@

Library Coq.FSets.FMapFullAVL

-

Extraction of minimum binding

+

Extraction of minimum binding

@@ -297,7 +297,7 @@

Library Coq.FSets.FMapFullAVL

-

Merging two trees

+

Merging two trees

@@ -316,7 +316,7 @@

Library Coq.FSets.FMapFullAVL

-

Deletion

+

Deletion

@@ -334,7 +334,7 @@

Library Coq.FSets.FMapFullAVL

-

Join

+

Join

@@ -453,7 +453,7 @@

Library Coq.FSets.FMapFullAVL

-

Encapsulation

+

Encapsulation

@@ -652,7 +652,7 @@

Library Coq.FSets.FMapFullAVL

-

As comparison function, we propose here a non-structural

+

As comparison function, we propose here a non-structural

version faithful to the code of Ocaml's Map library, instead of the structural version of FMapAVL diff --git a/master/stdlib/Coq.FSets.FMapInterface.html b/master/stdlib/Coq.FSets.FMapInterface.html index 8a3a86a588..3084016d3b 100644 --- a/master/stdlib/Coq.FSets.FMapInterface.html +++ b/master/stdlib/Coq.FSets.FMapInterface.html @@ -49,7 +49,7 @@

Library Coq.FSets.FMapInterface

-

Finite map library

+

Finite map library

@@ -135,7 +135,7 @@

Library Coq.FSets.FMapInterface

-

Weak signature for maps

+

Weak signature for maps

@@ -556,7 +556,7 @@

Library Coq.FSets.FMapInterface

-

Static signature for Weak Maps

+

Static signature for Weak Maps

@@ -575,7 +575,7 @@

Library Coq.FSets.FMapInterface

-

Maps on ordered keys, functorial signature

+

Maps on ordered keys, functorial signature

@@ -602,7 +602,7 @@

Library Coq.FSets.FMapInterface

-

Maps on ordered keys, self-contained signature

+

Maps on ordered keys, self-contained signature

@@ -617,7 +617,7 @@

Library Coq.FSets.FMapInterface

-

Maps with ordering both on keys and datas

+

Maps with ordering both on keys and datas

diff --git a/master/stdlib/Coq.FSets.FMapList.html b/master/stdlib/Coq.FSets.FMapList.html index fc3f0282f1..86fd1b83f3 100644 --- a/master/stdlib/Coq.FSets.FMapList.html +++ b/master/stdlib/Coq.FSets.FMapList.html @@ -49,7 +49,7 @@

Library Coq.FSets.FMapList

-

Finite map library

+

Finite map library

@@ -93,7 +93,7 @@

Library Coq.FSets.FMapList

-

empty

+

empty

@@ -116,7 +116,7 @@

Library Coq.FSets.FMapList

-

is_empty

+

is_empty

@@ -134,7 +134,7 @@

Library Coq.FSets.FMapList

-

mem

+

mem

@@ -161,7 +161,7 @@

Library Coq.FSets.FMapList

-

find

+

find

@@ -188,7 +188,7 @@

Library Coq.FSets.FMapList

-

add

+

add

@@ -229,7 +229,7 @@

Library Coq.FSets.FMapList

-

remove

+

remove

@@ -270,7 +270,7 @@

Library Coq.FSets.FMapList

-

elements

+

elements

@@ -296,7 +296,7 @@

Library Coq.FSets.FMapList

-

fold

+

fold

@@ -316,7 +316,7 @@

Library Coq.FSets.FMapList

-

equal

+

equal

@@ -366,7 +366,7 @@

Library Coq.FSets.FMapList

-

map and mapi

+

map and mapi

@@ -459,7 +459,7 @@

Library Coq.FSets.FMapList

-

map2

+

map2

diff --git a/master/stdlib/Coq.FSets.FMapPositive.html b/master/stdlib/Coq.FSets.FMapPositive.html index 73cb003783..bcff6a22cd 100644 --- a/master/stdlib/Coq.FSets.FMapPositive.html +++ b/master/stdlib/Coq.FSets.FMapPositive.html @@ -49,7 +49,7 @@

Library Coq.FSets.FMapPositive

-

FMapPositive : an implementation of FMapInterface for positive keys.

+

FMapPositive : an implementation of FMapInterface for positive keys.

diff --git a/master/stdlib/Coq.FSets.FMapWeakList.html b/master/stdlib/Coq.FSets.FMapWeakList.html index 6e8160ad72..969a03020e 100644 --- a/master/stdlib/Coq.FSets.FMapWeakList.html +++ b/master/stdlib/Coq.FSets.FMapWeakList.html @@ -49,7 +49,7 @@

Library Coq.FSets.FMapWeakList

-

Finite map library

+

Finite map library

@@ -91,7 +91,7 @@

Library Coq.FSets.FMapWeakList

-

empty

+

empty

@@ -116,7 +116,7 @@

Library Coq.FSets.FMapWeakList

-

is_empty

+

is_empty

@@ -134,7 +134,7 @@

Library Coq.FSets.FMapWeakList

-

mem

+

mem

@@ -156,7 +156,7 @@

Library Coq.FSets.FMapWeakList

-

find

+

find

@@ -185,7 +185,7 @@

Library Coq.FSets.FMapWeakList

-

add

+

add

@@ -229,7 +229,7 @@

Library Coq.FSets.FMapWeakList

-

remove

+

remove

@@ -263,7 +263,7 @@

Library Coq.FSets.FMapWeakList

-

elements

+

elements

@@ -284,7 +284,7 @@

Library Coq.FSets.FMapWeakList

-

fold

+

fold

@@ -304,7 +304,7 @@

Library Coq.FSets.FMapWeakList

-

equal

+

equal

@@ -365,7 +365,7 @@

Library Coq.FSets.FMapWeakList

-

map and mapi

+

map and mapi

diff --git a/master/stdlib/Coq.FSets.FSetAVL.html b/master/stdlib/Coq.FSets.FSetAVL.html index bae836d7ce..520922637c 100644 --- a/master/stdlib/Coq.FSets.FSetAVL.html +++ b/master/stdlib/Coq.FSets.FSetAVL.html @@ -49,7 +49,7 @@

Library Coq.FSets.FSetAVL

-

FSetAVL : Implementation of FSetInterface via AVL trees

+

FSetAVL : Implementation of FSetInterface via AVL trees

diff --git a/master/stdlib/Coq.FSets.FSetBridge.html b/master/stdlib/Coq.FSets.FSetBridge.html index 464fea4ca1..474896c650 100644 --- a/master/stdlib/Coq.FSets.FSetBridge.html +++ b/master/stdlib/Coq.FSets.FSetBridge.html @@ -49,7 +49,7 @@

Library Coq.FSets.FSetBridge

-

Finite sets library

+

Finite sets library

@@ -66,7 +66,7 @@

Library Coq.FSets.FSetBridge

-

From non-dependent signature S to dependent signature Sdep.

+

From non-dependent signature S to dependent signature Sdep.

@@ -244,7 +244,7 @@

Library Coq.FSets.FSetBridge

-

From dependent signature Sdep to non-dependent signature S.

+

From dependent signature Sdep to non-dependent signature S.

diff --git a/master/stdlib/Coq.FSets.FSetCompat.html b/master/stdlib/Coq.FSets.FSetCompat.html index f02a76a801..55a44f4d41 100644 --- a/master/stdlib/Coq.FSets.FSetCompat.html +++ b/master/stdlib/Coq.FSets.FSetCompat.html @@ -49,7 +49,7 @@

Library Coq.FSets.FSetCompat

-

Compatibility functors between FSetInterface and MSetInterface.

+

Compatibility functors between FSetInterface and MSetInterface.

@@ -65,7 +65,7 @@

Library Coq.FSets.FSetCompat

-

From new Weak Sets to old ones

+

From new Weak Sets to old ones

@@ -228,7 +228,7 @@

Library Coq.FSets.FSetCompat

-

From new Sets to new ones

+

From new Sets to new ones

@@ -286,7 +286,7 @@

Library Coq.FSets.FSetCompat

-

From old Weak Sets to new ones.

+

From old Weak Sets to new ones.

@@ -429,7 +429,7 @@

Library Coq.FSets.FSetCompat

-

From old Sets to new ones.

+

From old Sets to new ones.

diff --git a/master/stdlib/Coq.FSets.FSetDecide.html b/master/stdlib/Coq.FSets.FSetDecide.html index 9b74304c5d..84877416b3 100644 --- a/master/stdlib/Coq.FSets.FSetDecide.html +++ b/master/stdlib/Coq.FSets.FSetDecide.html @@ -75,7 +75,7 @@

Library Coq.FSets.FSetDecide

-

Overview

+

Overview

This functor defines the tactic fsetdec, which will solve any valid goal of the form @@ -181,7 +181,7 @@

Library Coq.FSets.FSetDecide

-

Facts and Tactics for Propositional Logic

+

Facts and Tactics for Propositional Logic

These lemmas and tactics are in a module so that they do not affect the namespace if you import the enclosing @@ -196,18 +196,18 @@

Library Coq.FSets.FSetDecide

-

Lemmas and Tactics About Decidable Propositions

+

Lemmas and Tactics About Decidable Propositions

-

Propositional Equivalences Involving Negation

+

Propositional Equivalences Involving Negation

These are all written with the unfolded form of negation, since I am not sure if setoid rewriting will always perform conversion.
-

Tactics for Negations

+

Tactics for Negations

@@ -458,7 +458,7 @@

Library Coq.FSets.FSetDecide

-

Auxiliary Tactics

+

Auxiliary Tactics

Again, these lemmas and tactics are in a module so that they do not affect the namespace if you import the @@ -471,7 +471,7 @@

Library Coq.FSets.FSetDecide

-

Generic Tactics

+

Generic Tactics

We begin by defining a few generic, useful tactics.
@@ -588,7 +588,7 @@

Library Coq.FSets.FSetDecide

-

Discarding Irrelevant Hypotheses

+

Discarding Irrelevant Hypotheses

We will want to clear the context of any non-FSet-related hypotheses in order to increase the @@ -668,7 +668,7 @@

Library Coq.FSets.FSetDecide

-

Turning Set Operators into Propositional Connectives

+

Turning Set Operators into Propositional Connectives

The lemmas from FSetFacts will be used to break down set operations into propositional formulas built over @@ -694,7 +694,7 @@

Library Coq.FSets.FSetDecide

-

Decidability of FSet Propositions

+

Decidability of FSet Propositions

@@ -729,7 +729,7 @@

Library Coq.FSets.FSetDecide

-

Normalizing Propositions About Equality

+

Normalizing Propositions About Equality

We have to deal with the fact that E.eq may be convertible with Coq's equality. Thus, we will find the @@ -812,7 +812,7 @@

Library Coq.FSets.FSetDecide

-

Considering Decidability of Base Propositions

+

Considering Decidability of Base Propositions

This tactic adds assertions about the decidability of E.eq and In to the context. This is necessary for @@ -861,7 +861,7 @@

Library Coq.FSets.FSetDecide

-

Handling Empty, Subset, and Equal

+

Handling Empty, Subset, and Equal

This tactic instantiates universally quantified hypotheses (which arise from the unfolding of Empty, @@ -909,7 +909,7 @@

Library Coq.FSets.FSetDecide

-

The Core fsetdec Auxiliary Tactics

+

The Core fsetdec Auxiliary Tactics

@@ -951,7 +951,7 @@

Library Coq.FSets.FSetDecide

-

The fsetdec Tactic

+

The fsetdec Tactic

Here is the top-level tactic (the only one intended for clients of this library). It's specification is given at @@ -1065,7 +1065,7 @@

Library Coq.FSets.FSetDecide

-

Examples

+

Examples

diff --git a/master/stdlib/Coq.FSets.FSetEqProperties.html b/master/stdlib/Coq.FSets.FSetEqProperties.html index e3d5bfcc2f..08e3fbf5a1 100644 --- a/master/stdlib/Coq.FSets.FSetEqProperties.html +++ b/master/stdlib/Coq.FSets.FSetEqProperties.html @@ -49,7 +49,7 @@

Library Coq.FSets.FSetEqProperties

-

Finite sets library

+

Finite sets library

diff --git a/master/stdlib/Coq.FSets.FSetFacts.html b/master/stdlib/Coq.FSets.FSetFacts.html index aee8b6d035..2785a79de0 100644 --- a/master/stdlib/Coq.FSets.FSetFacts.html +++ b/master/stdlib/Coq.FSets.FSetFacts.html @@ -49,7 +49,7 @@

Library Coq.FSets.FSetFacts

-

Finite sets library

+

Finite sets library

@@ -85,7 +85,7 @@

Library Coq.FSets.FSetFacts

-

Specifications written using equivalences

+

Specifications written using equivalences

@@ -179,7 +179,7 @@

Library Coq.FSets.FSetFacts

-

Specifications written using boolean predicates

+

Specifications written using boolean predicates

@@ -243,7 +243,7 @@

Library Coq.FSets.FSetFacts

-

E.eq and Equal are setoid equalities

+

E.eq and Equal are setoid equalities

diff --git a/master/stdlib/Coq.FSets.FSetInterface.html b/master/stdlib/Coq.FSets.FSetInterface.html index 0e5535367b..436cdab680 100644 --- a/master/stdlib/Coq.FSets.FSetInterface.html +++ b/master/stdlib/Coq.FSets.FSetInterface.html @@ -49,7 +49,7 @@

Library Coq.FSets.FSetInterface

-

Finite set library

+

Finite set library

@@ -105,7 +105,7 @@

Library Coq.FSets.FSetInterface

-

Non-dependent signatures

+

Non-dependent signatures

@@ -114,7 +114,7 @@

Library Coq.FSets.FSetInterface

programs together with axioms
-

Functorial signature for weak sets

+

Functorial signature for weak sets

@@ -619,7 +619,7 @@

Library Coq.FSets.FSetInterface

-

Static signature for weak sets

+

Static signature for weak sets

@@ -639,7 +639,7 @@

Library Coq.FSets.FSetInterface

-

Functorial signature for sets on ordered elements

+

Functorial signature for sets on ordered elements

@@ -766,7 +766,7 @@

Library Coq.FSets.FSetInterface

-

Static signature for sets on ordered elements

+

Static signature for sets on ordered elements

@@ -786,7 +786,7 @@

Library Coq.FSets.FSetInterface

-

Some subtyping tests

+

Some subtyping tests

 WSfun ---> WS
@@ -803,7 +803,7 @@ 
Library Coq.FSets.FSetInterface

 
 
 

 
-
Dependent signature

+
Dependent signature

 
 
 
 

diff --git a/master/stdlib/Coq.FSets.FSetList.html b/master/stdlib/Coq.FSets.FSetList.html
index 27df354fea..93953d547f 100644
--- a/master/stdlib/Coq.FSets.FSetList.html
+++ b/master/stdlib/Coq.FSets.FSetList.html
@@ -49,7 +49,7 @@ 
Library Coq.FSets.FSetList
-

Finite sets library

+

Finite sets library

diff --git a/master/stdlib/Coq.FSets.FSetProperties.html b/master/stdlib/Coq.FSets.FSetProperties.html index f972f1c881..bec2a1bc98 100644 --- a/master/stdlib/Coq.FSets.FSetProperties.html +++ b/master/stdlib/Coq.FSets.FSetProperties.html @@ -49,7 +49,7 @@

Library Coq.FSets.FSetProperties

-

Finite sets library

+

Finite sets library

@@ -341,7 +341,7 @@

Library Coq.FSets.FSetProperties

-

Properties of elements

+

Properties of elements

@@ -356,7 +356,7 @@

Library Coq.FSets.FSetProperties

-

Conversions between lists and sets

+

Conversions between lists and sets

@@ -380,7 +380,7 @@

Library Coq.FSets.FSetProperties

-

Fold

+

Fold

@@ -408,7 +408,7 @@

Library Coq.FSets.FSetProperties

-

Induction principles for fold (contributed by S. Lescuyer)

+

Induction principles for fold (contributed by S. Lescuyer)

@@ -514,7 +514,7 @@

Library Coq.FSets.FSetProperties

-

Alternative (weaker) specifications for fold

+

Alternative (weaker) specifications for fold

@@ -586,7 +586,7 @@

Library Coq.FSets.FSetProperties

-

Fold is a morphism

+

Fold is a morphism

@@ -603,7 +603,7 @@

Library Coq.FSets.FSetProperties

-

Fold and other set operators

+

Fold and other set operators

@@ -655,11 +655,11 @@

Library Coq.FSets.FSetProperties

-

Cardinal

+

Cardinal

-

Characterization of cardinal in terms of fold

+

Characterization of cardinal in terms of fold

@@ -671,7 +671,7 @@

Library Coq.FSets.FSetProperties

-

Old specifications for cardinal.

+

Old specifications for cardinal.

@@ -694,7 +694,7 @@

Library Coq.FSets.FSetProperties

-

Cardinal and (non-)emptiness

+

Cardinal and (non-)emptiness

@@ -719,7 +719,7 @@

Library Coq.FSets.FSetProperties

-

Cardinal is a morphism

+

Cardinal is a morphism

@@ -738,7 +738,7 @@

Library Coq.FSets.FSetProperties

-

Cardinal and set operators

+

Cardinal and set operators

diff --git a/master/stdlib/Coq.FSets.FSetToFiniteSet.html b/master/stdlib/Coq.FSets.FSetToFiniteSet.html index 39ba72596a..3b5ec51931 100644 --- a/master/stdlib/Coq.FSets.FSetToFiniteSet.html +++ b/master/stdlib/Coq.FSets.FSetToFiniteSet.html @@ -49,7 +49,7 @@

Library Coq.FSets.FSetToFiniteSet

-

Finite sets library : conversion to old Finite_sets

+

Finite sets library : conversion to old Finite_sets

@@ -62,7 +62,7 @@

Library Coq.FSets.FSetToFiniteSet

-

Going from FSets with usual Leibniz equality

+

Going from FSets with usual Leibniz equality

to the good old Ensembles and Finite_sets theory.
diff --git a/master/stdlib/Coq.FSets.FSetWeakList.html b/master/stdlib/Coq.FSets.FSetWeakList.html index 9387a3f0bb..8d35f984f0 100644 --- a/master/stdlib/Coq.FSets.FSetWeakList.html +++ b/master/stdlib/Coq.FSets.FSetWeakList.html @@ -49,7 +49,7 @@

Library Coq.FSets.FSetWeakList

-

Finite sets library

+

Finite sets library

diff --git a/master/stdlib/Coq.Floats.FloatAxioms.html b/master/stdlib/Coq.Floats.FloatAxioms.html index 671a6a0286..15776c6fd2 100644 --- a/master/stdlib/Coq.Floats.FloatAxioms.html +++ b/master/stdlib/Coq.Floats.FloatAxioms.html @@ -52,7 +52,7 @@

Library Coq.Floats.FloatAxioms

-

Properties of the primitive operators for the Binary64 format

+

Properties of the primitive operators for the Binary64 format

diff --git a/master/stdlib/Coq.Floats.FloatLemmas.html b/master/stdlib/Coq.Floats.FloatLemmas.html index 533cb28396..f43ec2b875 100644 --- a/master/stdlib/Coq.Floats.FloatLemmas.html +++ b/master/stdlib/Coq.Floats.FloatLemmas.html @@ -53,7 +53,7 @@

Library Coq.Floats.FloatLemmas

-

Support results involving frexp and ldexp

+

Support results involving frexp and ldexp

diff --git a/master/stdlib/Coq.Floats.FloatOps.html b/master/stdlib/Coq.Floats.FloatOps.html index 8ca551ecb5..faa8dffce2 100644 --- a/master/stdlib/Coq.Floats.FloatOps.html +++ b/master/stdlib/Coq.Floats.FloatOps.html @@ -52,7 +52,7 @@

Library Coq.Floats.FloatOps

-

Derived operations and mapping between primitive floats and spec_floats

+

Derived operations and mapping between primitive floats and spec_floats

diff --git a/master/stdlib/Coq.Floats.PrimFloat.html b/master/stdlib/Coq.Floats.PrimFloat.html index 785addf808..bce3810680 100644 --- a/master/stdlib/Coq.Floats.PrimFloat.html +++ b/master/stdlib/Coq.Floats.PrimFloat.html @@ -52,7 +52,7 @@

Library Coq.Floats.PrimFloat

-

Definition of the interface for primitive floating-point arithmetic

+

Definition of the interface for primitive floating-point arithmetic

@@ -61,7 +61,7 @@

Library Coq.Floats.PrimFloat

IEEE 754-2008 standard.
-

Type definition for the co-domain of compare

+

Type definition for the co-domain of compare

@@ -77,7 +77,7 @@

Library Coq.Floats.PrimFloat

-

The main type

+

The main type

float: primitive type for Binary64 floating-point numbers.
@@ -94,7 +94,7 @@

Library Coq.Floats.PrimFloat

-

Syntax support

+

Syntax support

@@ -109,7 +109,7 @@

Library Coq.Floats.PrimFloat

-

Floating-point operators

+

Floating-point operators

@@ -184,7 +184,7 @@

Library Coq.Floats.PrimFloat

-

Conversions

+

Conversions

@@ -223,7 +223,7 @@

Library Coq.Floats.PrimFloat

-

Exponent manipulation functions

+

Exponent manipulation functions

frshiftexp: convert a float to fractional part in [0.5, 1.) and integer part.
@@ -243,7 +243,7 @@

Library Coq.Floats.PrimFloat

-

Predecesor/Successor functions

+

Predecesor/Successor functions

@@ -265,7 +265,7 @@

Library Coq.Floats.PrimFloat

-

Special values (needed for pretty-printing)

+

Special values (needed for pretty-printing)

@@ -282,7 +282,7 @@

Library Coq.Floats.PrimFloat

-

Other special values

+

Other special values

@@ -295,7 +295,7 @@

Library Coq.Floats.PrimFloat

-

Predicates and helper functions

+

Predicates and helper functions

diff --git a/master/stdlib/Coq.Floats.SpecFloat.html b/master/stdlib/Coq.Floats.SpecFloat.html index 1c987fb36a..5b29a31bd3 100644 --- a/master/stdlib/Coq.Floats.SpecFloat.html +++ b/master/stdlib/Coq.Floats.SpecFloat.html @@ -52,7 +52,7 @@

Library Coq.Floats.SpecFloat

-

Specification of floating-point arithmetic

+

Specification of floating-point arithmetic

@@ -61,7 +61,7 @@

Library Coq.Floats.SpecFloat

of the Flocq library (see http://flocq.gforge.inria.fr/)
-

Inductive specification of floating-point numbers

+

Inductive specification of floating-point numbers

@@ -79,7 +79,7 @@

Library Coq.Floats.SpecFloat

-

Parameterized definitions

+

Parameterized definitions

@@ -242,7 +242,7 @@

Library Coq.Floats.SpecFloat

-

Define operations

+

Define operations

diff --git a/master/stdlib/Coq.Init.Byte.html b/master/stdlib/Coq.Init.Byte.html index f0298ed73c..d1dc6d42cd 100644 --- a/master/stdlib/Coq.Init.Byte.html +++ b/master/stdlib/Coq.Init.Byte.html @@ -49,7 +49,7 @@

Library Coq.Init.Byte

-

Bytes

+

Bytes

diff --git a/master/stdlib/Coq.Init.Datatypes.html b/master/stdlib/Coq.Init.Datatypes.html index 26fd3cfcd4..b7f6f53b2e 100644 --- a/master/stdlib/Coq.Init.Datatypes.html +++ b/master/stdlib/Coq.Init.Datatypes.html @@ -57,7 +57,7 @@

Library Coq.Init.Datatypes

-

Datatypes with zero and one element

+

Datatypes with zero and one element

@@ -91,7 +91,7 @@

Library Coq.Init.Datatypes

-

The boolean datatype

+

The boolean datatype

@@ -262,7 +262,7 @@

Library Coq.Init.Datatypes

-

Peano natural numbers

+

Peano natural numbers

@@ -297,7 +297,7 @@

Library Coq.Init.Datatypes

-

Container datatypes

+

Container datatypes

@@ -502,7 +502,7 @@

Library Coq.Init.Datatypes

-

The comparison datatype

+

The comparison datatype

@@ -620,7 +620,7 @@

Library Coq.Init.Datatypes

-

Misc Other Datatypes

+

Misc Other Datatypes

diff --git a/master/stdlib/Coq.Init.Decimal.html b/master/stdlib/Coq.Init.Decimal.html index 513b46ba21..1d09b3b5f7 100644 --- a/master/stdlib/Coq.Init.Decimal.html +++ b/master/stdlib/Coq.Init.Decimal.html @@ -49,7 +49,7 @@

Library Coq.Init.Decimal

-

Decimal numbers

+

Decimal numbers

diff --git a/master/stdlib/Coq.Init.Hexadecimal.html b/master/stdlib/Coq.Init.Hexadecimal.html index fb0e809f1a..318d46e96b 100644 --- a/master/stdlib/Coq.Init.Hexadecimal.html +++ b/master/stdlib/Coq.Init.Hexadecimal.html @@ -49,7 +49,7 @@

Library Coq.Init.Hexadecimal

-

Hexadecimal numbers

+

Hexadecimal numbers

diff --git a/master/stdlib/Coq.Init.Logic.html b/master/stdlib/Coq.Init.Logic.html index 8a14507127..c321d19103 100644 --- a/master/stdlib/Coq.Init.Logic.html +++ b/master/stdlib/Coq.Init.Logic.html @@ -59,7 +59,7 @@

Library Coq.Init.Logic

-

Propositional connectives

+

Propositional connectives

@@ -314,7 +314,7 @@

Library Coq.Init.Logic

-

First-order quantifiers

+

First-order quantifiers

@@ -466,7 +466,7 @@

Library Coq.Init.Logic

-

Equality

+

Equality

@@ -866,7 +866,7 @@

Library Coq.Init.Logic

-

Being inhabited

+

Being inhabited

diff --git a/master/stdlib/Coq.Init.Nat.html b/master/stdlib/Coq.Init.Nat.html index dec0507b8f..d23dfb06a7 100644 --- a/master/stdlib/Coq.Init.Nat.html +++ b/master/stdlib/Coq.Init.Nat.html @@ -54,7 +54,7 @@

Library Coq.Init.Nat

-

Peano natural numbers, definitions of operations

+

Peano natural numbers, definitions of operations

@@ -71,7 +71,7 @@

Library Coq.Init.Nat

-

Constants

+

Constants

@@ -90,7 +90,7 @@

Library Coq.Init.Nat

-

Basic operations

+

Basic operations

@@ -159,7 +159,7 @@

Library Coq.Init.Nat

-

Comparisons

+

Comparisons

@@ -205,7 +205,7 @@

Library Coq.Init.Nat

-

Minimum, maximum

+

Minimum, maximum

@@ -230,7 +230,7 @@

Library Coq.Init.Nat

-

Parity tests

+

Parity tests

@@ -250,7 +250,7 @@

Library Coq.Init.Nat

-

Power

+

Power

@@ -268,7 +268,7 @@

Library Coq.Init.Nat

-

Tail-recursive versions of add and mul

+

Tail-recursive versions of add and mul

@@ -302,7 +302,7 @@

Library Coq.Init.Nat

-

Conversion with a decimal representation for printing/parsing

+

Conversion with a decimal representation for printing/parsing

@@ -426,7 +426,7 @@

Library Coq.Init.Nat

-

Euclidean division

+

Euclidean division

@@ -469,7 +469,7 @@

Library Coq.Init.Nat

-

Greatest common divisor

+

Greatest common divisor

@@ -491,7 +491,7 @@

Library Coq.Init.Nat

-

Square

+

Square

@@ -503,7 +503,7 @@

Library Coq.Init.Nat

-

Square root

+

Square root

@@ -541,7 +541,7 @@

Library Coq.Init.Nat

-

Log2

+

Log2

diff --git a/master/stdlib/Coq.Init.Number.html b/master/stdlib/Coq.Init.Number.html index 3f47d8f7a6..c1c276c67a 100644 --- a/master/stdlib/Coq.Init.Number.html +++ b/master/stdlib/Coq.Init.Number.html @@ -49,7 +49,7 @@

Library Coq.Init.Number

-

Decimal or Hexadecimal numbers

+

Decimal or Hexadecimal numbers

diff --git a/master/stdlib/Coq.Init.Tactics.html b/master/stdlib/Coq.Init.Tactics.html index abe36ad179..042138657c 100644 --- a/master/stdlib/Coq.Init.Tactics.html +++ b/master/stdlib/Coq.Init.Tactics.html @@ -55,7 +55,7 @@

Library Coq.Init.Tactics

-

Useful tactics

+

Useful tactics

@@ -376,7 +376,7 @@

Library Coq.Init.Tactics

-

inversion_sigma

+

inversion_sigma

The built-in inversion will frequently leave equalities of dependent pairs. When the first type in the pair is an hProp or otherwise simplifies, inversion_sigma is useful; it will replace diff --git a/master/stdlib/Coq.Init.Tauto.html b/master/stdlib/Coq.Init.Tauto.html index ad67bbb244..a654d9c084 100644 --- a/master/stdlib/Coq.Init.Tauto.html +++ b/master/stdlib/Coq.Init.Tauto.html @@ -49,7 +49,7 @@

Library Coq.Init.Tauto

-

The tauto and intuition tactics

+

The tauto and intuition tactics

diff --git a/master/stdlib/Coq.Init.Wf.html b/master/stdlib/Coq.Init.Wf.html index 36e24aabd8..647dcba66a 100644 --- a/master/stdlib/Coq.Init.Wf.html +++ b/master/stdlib/Coq.Init.Wf.html @@ -49,7 +49,7 @@

Library Coq.Init.Wf

-

This module proves the validity of

+

This module proves the validity of

  • well-founded recursion (also known as course of values) diff --git a/master/stdlib/Coq.Lists.List.html b/master/stdlib/Coq.Lists.List.html index 710307e9ed..291357883b 100644 --- a/master/stdlib/Coq.Lists.List.html +++ b/master/stdlib/Coq.Lists.List.html @@ -55,7 +55,7 @@

    Library Coq.Lists.List

-

Basics: definition of polymorphic lists and some operations

+

Basics: definition of polymorphic lists and some operations

@@ -147,7 +147,7 @@

Library Coq.Lists.List

-

Generic facts

+

Generic facts

@@ -182,7 +182,7 @@

Library Coq.Lists.List

-

Head and tail

+

Head and tail

@@ -197,7 +197,7 @@

Library Coq.Lists.List

-

Facts about app

+

Facts about app

@@ -309,7 +309,7 @@

Library Coq.Lists.List

-

Facts about In

+

Facts about In

@@ -395,7 +395,7 @@

Library Coq.Lists.List

-

Operations on the elements of a list

+

Operations on the elements of a list

@@ -410,7 +410,7 @@

Library Coq.Lists.List

-

Nth element of a list

+

Nth element of a list

@@ -592,7 +592,7 @@

Library Coq.Lists.List

-

Last element of a list

+

Last element of a list

@@ -647,7 +647,7 @@

Library Coq.Lists.List

-

Remove

+

Remove

@@ -698,7 +698,7 @@

Library Coq.Lists.List

-

Counting occurrences of an element

+

Counting occurrences of an element

@@ -761,7 +761,7 @@

Library Coq.Lists.List

-

Manipulating whole lists

+

Manipulating whole lists

@@ -776,7 +776,7 @@

Library Coq.Lists.List

-

Reverse

+

Reverse

@@ -869,7 +869,7 @@

Library Coq.Lists.List

-

Concatenation

+

Concatenation

@@ -898,7 +898,7 @@

Library Coq.Lists.List

-

Decidable equality on lists

+

Decidable equality on lists

@@ -919,11 +919,11 @@

Library Coq.Lists.List

-

Applying functions to the elements of a list

+

Applying functions to the elements of a list

-

Map

+

Map

@@ -1011,7 +1011,7 @@

Library Coq.Lists.List

-

Flat Map

+

Flat Map

@@ -1190,7 +1190,7 @@

Library Coq.Lists.List

-

Boolean operations over lists

+

Boolean operations over lists

@@ -1354,7 +1354,7 @@

Library Coq.Lists.List

-

Further filtering facts

+

Further filtering facts

@@ -1436,7 +1436,7 @@

Library Coq.Lists.List

-

Operations on lists of pairs or lists of lists

+

Operations on lists of pairs or lists of lists

@@ -1566,11 +1566,11 @@

Library Coq.Lists.List

-

Miscellaneous operations on lists

+

Miscellaneous operations on lists

-

Length order of lists

+

Length order of lists

@@ -1614,7 +1614,7 @@

Library Coq.Lists.List

-

Set inclusion on list

+

Set inclusion on list

@@ -1704,7 +1704,7 @@

Library Coq.Lists.List

-

Cutting a list at some position

+

Cutting a list at some position

@@ -1858,7 +1858,7 @@

Library Coq.Lists.List

-

Combining pairs of lists of possibly-different lengths

+

Combining pairs of lists of possibly-different lengths

@@ -1890,7 +1890,7 @@

Library Coq.Lists.List

-

Predicate for List addition/removal (no need for decidability)

+

Predicate for List addition/removal (no need for decidability)

@@ -1934,7 +1934,7 @@

Library Coq.Lists.List

-

Lists without redundancy

+

Lists without redundancy

@@ -2081,7 +2081,7 @@

Library Coq.Lists.List

-

Sequence of natural numbers

+

Sequence of natural numbers

@@ -2143,7 +2143,7 @@

Library Coq.Lists.List

-

Existential and universal predicates over lists

+

Existential and universal predicates over lists

@@ -2640,7 +2640,7 @@

Library Coq.Lists.List

-

Inversion of predicates over lists based on head symbol

+

Inversion of predicates over lists based on head symbol

@@ -2668,7 +2668,7 @@

Library Coq.Lists.List

-

Exporting hints and tactics

+

Exporting hints and tactics

diff --git a/master/stdlib/Coq.Lists.SetoidList.html b/master/stdlib/Coq.Lists.SetoidList.html index d8b9abcbe3..e4d93de236 100644 --- a/master/stdlib/Coq.Lists.SetoidList.html +++ b/master/stdlib/Coq.Lists.SetoidList.html @@ -53,7 +53,7 @@

Library Coq.Lists.SetoidList

-

Logical relations over lists with respect to a setoid equality

+

Logical relations over lists with respect to a setoid equality

or ordering.
diff --git a/master/stdlib/Coq.Lists.StreamMemo.html b/master/stdlib/Coq.Lists.StreamMemo.html index d0ee99f730..466b07034d 100644 --- a/master/stdlib/Coq.Lists.StreamMemo.html +++ b/master/stdlib/Coq.Lists.StreamMemo.html @@ -53,7 +53,7 @@

Library Coq.Lists.StreamMemo

-

Memoization

+

Memoization

diff --git a/master/stdlib/Coq.Logic.ChoiceFacts.html b/master/stdlib/Coq.Logic.ChoiceFacts.html index ee1a1b0b8f..92e2286a4f 100644 --- a/master/stdlib/Coq.Logic.ChoiceFacts.html +++ b/master/stdlib/Coq.Logic.ChoiceFacts.html @@ -50,7 +50,7 @@

Library Coq.Logic.ChoiceFacts

Some facts and definitions concerning choice and description in - intuitionistic logic.

References:

+ intuitionistic logic.

References:

@@ -89,7 +89,7 @@

Library Coq.Logic.ChoiceFacts

-

Definitions

+

Definitions

@@ -116,7 +116,7 @@

Library Coq.Logic.ChoiceFacts

-

Constructive choice and description

+

Constructive choice and description

@@ -346,7 +346,7 @@

Library Coq.Logic.ChoiceFacts

-

Weakly classical choice and description

+

Weakly classical choice and description

@@ -625,7 +625,7 @@

Library Coq.Logic.ChoiceFacts

-

Table of contents

+

Table of contents

@@ -682,7 +682,7 @@

Library Coq.Logic.ChoiceFacts

-

AC_rel + AC! = AC_fun

+

AC_rel + AC! = AC_fun

@@ -722,7 +722,7 @@

Library Coq.Logic.ChoiceFacts

-

Connection between the guarded, non guarded and omniscient choices

+

Connection between the guarded, non guarded and omniscient choices

@@ -733,7 +733,7 @@

Library Coq.Logic.ChoiceFacts

irrelevance)
-

AC_rel + PI -> GAC_rel and AC_rel + IGP -> GAC_rel and GAC_rel = OAC_rel

+

AC_rel + PI -> GAC_rel and AC_rel + IGP -> GAC_rel and GAC_rel = OAC_rel

@@ -771,7 +771,7 @@

Library Coq.Logic.ChoiceFacts

-

AC_fun + IGP = GAC_fun = OAC_fun = AC_fun + Drinker

+

AC_fun + IGP = GAC_fun = OAC_fun = AC_fun + Drinker

@@ -846,7 +846,7 @@

Library Coq.Logic.ChoiceFacts

-

D_iota -> ID_iota and D_epsilon <-> ID_epsilon + Drinker

+

D_iota -> ID_iota and D_epsilon <-> ID_epsilon + Drinker

@@ -890,7 +890,7 @@

Library Coq.Logic.ChoiceFacts

-

Derivability of choice for decidable relations with well-ordered codomain

+

Derivability of choice for decidable relations with well-ordered codomain

@@ -923,11 +923,11 @@

Library Coq.Logic.ChoiceFacts

-

AC_fun = AC_fun_dep = AC_trunc

+

AC_fun = AC_fun_dep = AC_trunc

-

Choice on dependent and non dependent function types are equivalent

+

Choice on dependent and non dependent function types are equivalent

@@ -966,7 +966,7 @@

Library Coq.Logic.ChoiceFacts

-

Functional choice and truncation choice are equivalent

+

Functional choice and truncation choice are equivalent

@@ -983,7 +983,7 @@

Library Coq.Logic.ChoiceFacts

-

Reification of dependent and non dependent functional relation are equivalent

+

Reification of dependent and non dependent functional relation are equivalent

@@ -1018,11 +1018,11 @@

Library Coq.Logic.ChoiceFacts

-

Non contradiction of constructive descriptions wrt functional axioms of choice

+

Non contradiction of constructive descriptions wrt functional axioms of choice

-

Non contradiction of indefinite description

+

Non contradiction of indefinite description

@@ -1040,7 +1040,7 @@

Library Coq.Logic.ChoiceFacts

-

Non contradiction of definite description

+

Non contradiction of definite description

@@ -1084,7 +1084,7 @@

Library Coq.Logic.ChoiceFacts

-

Excluded-middle + definite description => computational excluded-middle

+

Excluded-middle + definite description => computational excluded-middle

@@ -1128,7 +1128,7 @@

Library Coq.Logic.ChoiceFacts

-

Choice => Dependent choice => Countable choice

+

Choice => Dependent choice => Countable choice

@@ -1148,7 +1148,7 @@

Library Coq.Logic.ChoiceFacts

-

About the axiom of choice over setoids

+

About the axiom of choice over setoids

@@ -1160,7 +1160,7 @@

Library Coq.Logic.ChoiceFacts

-

Consequences of the choice of a representative in an equivalence class

+

Consequences of the choice of a representative in an equivalence class

@@ -1181,7 +1181,7 @@

Library Coq.Logic.ChoiceFacts

-

This is a variant of Diaconescu and Goodman-Myhill theorems

+

This is a variant of Diaconescu and Goodman-Myhill theorems

@@ -1198,7 +1198,7 @@

Library Coq.Logic.ChoiceFacts

-

AC_fun_setoid = AC_fun_setoid_gen = AC_fun_setoid_simple

+

AC_fun_setoid = AC_fun_setoid_gen = AC_fun_setoid_simple

@@ -1231,7 +1231,7 @@

Library Coq.Logic.ChoiceFacts

-

AC_fun_setoid = AC! + AC_fun_repr

+

AC_fun_setoid = AC! + AC_fun_repr

@@ -1267,7 +1267,7 @@

Library Coq.Logic.ChoiceFacts

functional forms, SetoidFunctionalChoice seems strictly stronger
-

AC_fun_setoid = AC_fun + Ext_fun_repr + EM

+

AC_fun_setoid = AC_fun + Ext_fun_repr + EM

@@ -1279,7 +1279,7 @@

Library Coq.Logic.ChoiceFacts

-

This is the main theorem in [Carlström04]

+

This is the main theorem in [Carlström04]

@@ -1303,7 +1303,7 @@

Library Coq.Logic.ChoiceFacts

-

AC_fun_setoid = AC_fun + Ext_pred_repr + PI

+

AC_fun_setoid = AC_fun + Ext_pred_repr + PI

@@ -1327,7 +1327,7 @@

Library Coq.Logic.ChoiceFacts

-

Compatibility notations

+

Compatibility notations

diff --git a/master/stdlib/Coq.Logic.ClassicalEpsilon.html b/master/stdlib/Coq.Logic.ClassicalEpsilon.html index e787a49dd9..1fdb5c8af6 100644 --- a/master/stdlib/Coq.Logic.ClassicalEpsilon.html +++ b/master/stdlib/Coq.Logic.ClassicalEpsilon.html @@ -133,7 +133,7 @@

Library Coq.Logic.ClassicalEpsilon

-

Weaker lemmas (compatibility lemmas)

+

Weaker lemmas (compatibility lemmas)

diff --git a/master/stdlib/Coq.Logic.ClassicalFacts.html b/master/stdlib/Coq.Logic.ClassicalFacts.html index 38ce9a617b..95a0d93314 100644 --- a/master/stdlib/Coq.Logic.ClassicalFacts.html +++ b/master/stdlib/Coq.Logic.ClassicalFacts.html @@ -114,7 +114,7 @@

Library Coq.Logic.ClassicalFacts

-

Prop degeneracy = excluded-middle + prop extensionality

+

Prop degeneracy = excluded-middle + prop extensionality

@@ -190,11 +190,11 @@

Library Coq.Logic.ClassicalFacts

-

Classical logic and proof-irrelevance

+

Classical logic and proof-irrelevance

-

CC |- prop ext + A inhabited -> (A = A->A) -> A has fixpoint

+

CC |- prop ext + A inhabited -> (A = A->A) -> A has fixpoint

@@ -247,7 +247,7 @@

Library Coq.Logic.ClassicalFacts

-

CC |- prop_ext /\ dep elim on bool -> proof-irrelevance

+

CC |- prop_ext /\ dep elim on bool -> proof-irrelevance

@@ -344,7 +344,7 @@

Library Coq.Logic.ClassicalFacts

-

CIC |- prop. ext. -> proof-irrelevance

+

CIC |- prop. ext. -> proof-irrelevance

@@ -398,7 +398,7 @@

Library Coq.Logic.ClassicalFacts

-

CC |- excluded-middle + dep elim on bool -> proof-irrelevance

+

CC |- excluded-middle + dep elim on bool -> proof-irrelevance

@@ -570,7 +570,7 @@

Library Coq.Logic.ClassicalFacts

-

CIC |- excluded-middle -> proof-irrelevance

+

CIC |- excluded-middle -> proof-irrelevance

@@ -635,7 +635,7 @@

Library Coq.Logic.ClassicalFacts

-

Weak classical axioms

+

Weak classical axioms

@@ -657,7 +657,7 @@

Library Coq.Logic.ClassicalFacts

-

Weak excluded-middle

+

Weak excluded-middle

@@ -712,7 +712,7 @@

Library Coq.Logic.ClassicalFacts

-

Gödel-Dummett axiom

+

Gödel-Dummett axiom

@@ -783,7 +783,7 @@

Library Coq.Logic.ClassicalFacts

-

Independence of general premises and drinker's paradox

+

Independence of general premises and drinker's paradox

@@ -873,11 +873,11 @@

Library Coq.Logic.ClassicalFacts

-

Axioms equivalent to classical logic

+

Axioms equivalent to classical logic

-

Principle of unrestricted minimization

+

Principle of unrestricted minimization

@@ -950,7 +950,7 @@

Library Coq.Logic.ClassicalFacts

-

Choice of representatives in a partition of bool

+

Choice of representatives in a partition of bool

diff --git a/master/stdlib/Coq.Logic.Diaconescu.html b/master/stdlib/Coq.Logic.Diaconescu.html index b0aced863f..f146fbae16 100644 --- a/master/stdlib/Coq.Logic.Diaconescu.html +++ b/master/stdlib/Coq.Logic.Diaconescu.html @@ -108,7 +108,7 @@

Library Coq.Logic.Diaconescu

-

Pred. Ext. + Rel. Axiom of Choice -> Excluded-Middle

+

Pred. Ext. + Rel. Axiom of Choice -> Excluded-Middle

@@ -204,7 +204,7 @@

Library Coq.Logic.Diaconescu

-

Proof-Irrel. + Rel. Axiom of Choice -> Excl.-Middle for Equality

+

Proof-Irrel. + Rel. Axiom of Choice -> Excl.-Middle for Equality

@@ -311,7 +311,7 @@

Library Coq.Logic.Diaconescu

-

Extensional Hilbert's epsilon description operator -> Excluded-Middle

+

Extensional Hilbert's epsilon description operator -> Excluded-Middle

diff --git a/master/stdlib/Coq.Logic.EqdepFacts.html b/master/stdlib/Coq.Logic.EqdepFacts.html index 47cce67c4c..ec2334af91 100644 --- a/master/stdlib/Coq.Logic.EqdepFacts.html +++ b/master/stdlib/Coq.Logic.EqdepFacts.html @@ -116,7 +116,7 @@

Library Coq.Logic.EqdepFacts

-

Definition of dependent equality and equivalence with equality of dependent pairs

+

Definition of dependent equality and equivalence with equality of dependent pairs

@@ -284,7 +284,7 @@

Library Coq.Logic.EqdepFacts

-

Eq_rect_eq <-> Eq_dep_eq <-> UIP <-> UIP_refl <-> K

+

Eq_rect_eq <-> Eq_dep_eq <-> UIP <-> UIP_refl <-> K

@@ -510,7 +510,7 @@

Library Coq.Logic.EqdepFacts

-

Definition of the functor that builds properties of dependent equalities assuming axiom eq_rect_eq

+

Definition of the functor that builds properties of dependent equalities assuming axiom eq_rect_eq

diff --git a/master/stdlib/Coq.Logic.Eqdep_dec.html b/master/stdlib/Coq.Logic.Eqdep_dec.html index 8e5ece4295..7443718e2c 100644 --- a/master/stdlib/Coq.Logic.Eqdep_dec.html +++ b/master/stdlib/Coq.Logic.Eqdep_dec.html @@ -88,7 +88,7 @@

Library Coq.Logic.Eqdep_dec

-

Streicher's K and injectivity of dependent pair hold on decidable types

+

Streicher's K and injectivity of dependent pair hold on decidable types

@@ -249,7 +249,7 @@

Library Coq.Logic.Eqdep_dec

-

Definition of the functor that builds properties of dependent equalities on decidable sets in Type

+

Definition of the functor that builds properties of dependent equalities on decidable sets in Type

@@ -373,7 +373,7 @@

Library Coq.Logic.Eqdep_dec

-

Definition of the functor that builds properties of dependent equalities on decidable sets in Set

+

Definition of the functor that builds properties of dependent equalities on decidable sets in Set

diff --git a/master/stdlib/Coq.Logic.ExtensionalityFacts.html b/master/stdlib/Coq.Logic.ExtensionalityFacts.html index e186d66839..05e9d6aa37 100644 --- a/master/stdlib/Coq.Logic.ExtensionalityFacts.html +++ b/master/stdlib/Coq.Logic.ExtensionalityFacts.html @@ -105,7 +105,7 @@

Library Coq.Logic.ExtensionalityFacts

-

Definitions

+

Definitions

@@ -197,7 +197,7 @@

Library Coq.Logic.ExtensionalityFacts

-

Functional extensionality <-> Equality of projections from diagonal

+

Functional extensionality <-> Equality of projections from diagonal

@@ -209,7 +209,7 @@

Library Coq.Logic.ExtensionalityFacts

-

Functional extensionality <-> Unicity of bijection inverse

+

Functional extensionality <-> Unicity of bijection inverse

@@ -227,7 +227,7 @@

Library Coq.Logic.ExtensionalityFacts

-

Functional extensionality <-> Bijectivity of bijective composition

+

Functional extensionality <-> Bijectivity of bijective composition

diff --git a/master/stdlib/Coq.Logic.FinFun.html b/master/stdlib/Coq.Logic.FinFun.html index 5d38c5c2e0..53a26d9417 100644 --- a/master/stdlib/Coq.Logic.FinFun.html +++ b/master/stdlib/Coq.Logic.FinFun.html @@ -49,7 +49,7 @@

Library Coq.Logic.FinFun

-

Functions on finite domains

+

Functions on finite domains

diff --git a/master/stdlib/Coq.Logic.Hurkens.html b/master/stdlib/Coq.Logic.Hurkens.html index 90b47c64f6..ca2aac862a 100644 --- a/master/stdlib/Coq.Logic.Hurkens.html +++ b/master/stdlib/Coq.Logic.Hurkens.html @@ -176,7 +176,7 @@

Library Coq.Logic.Hurkens

-

A modular proof of Hurkens's paradox.

+

A modular proof of Hurkens's paradox.

@@ -203,7 +203,7 @@

Library Coq.Logic.Hurkens

-

Axiomatisation of impredicative universes in a Martin-Löf style

+

Axiomatisation of impredicative universes in a Martin-Löf style

@@ -214,7 +214,7 @@

Library Coq.Logic.Hurkens

actual system U-.
-

Large universe

+

Large universe

@@ -223,7 +223,7 @@

Library Coq.Logic.Hurkens

-

Closure by small product

+

Closure by small product

@@ -239,7 +239,7 @@

Library Coq.Logic.Hurkens

-

Closure by large products

+

Closure by large products

U1 only needs to quantify over itself.
@@ -256,7 +256,7 @@

Library Coq.Logic.Hurkens

-

Small universe

+

Small universe

The small universe is an element of the large one.
@@ -266,7 +266,7 @@

Library Coq.Logic.Hurkens

-

Closure by small product

+

Closure by small product

U0 does not need reduction rules
@@ -280,7 +280,7 @@

Library Coq.Logic.Hurkens

-

Closure by large products

+

Closure by large products

@@ -295,7 +295,7 @@

Library Coq.Logic.Hurkens

-

Automating the rewrite rules of our encoding.

+

Automating the rewrite rules of our encoding.

@@ -313,7 +313,7 @@

Library Coq.Logic.Hurkens

-

Hurkens's paradox.

+

Hurkens's paradox.

@@ -326,7 +326,7 @@

Library Coq.Logic.Hurkens

-

Preliminary definitions

+

Preliminary definitions

@@ -355,7 +355,7 @@

Library Coq.Logic.Hurkens

-

Proof

+

Proof

@@ -440,7 +440,7 @@

Library Coq.Logic.Hurkens

-

Impredicative universes are not retracts.

+

Impredicative universes are not retracts.

@@ -467,7 +467,7 @@

Library Coq.Logic.Hurkens

-

U1 is impredicative

+

U1 is impredicative

@@ -494,7 +494,7 @@

Library Coq.Logic.Hurkens

-

U0 is a retract of U1

+

U0 is a retract of U1

@@ -507,7 +507,7 @@

Library Coq.Logic.Hurkens

-

Paradox

+

Paradox

@@ -571,7 +571,7 @@

Library Coq.Logic.Hurkens

-

Modal fragments of Prop are not retracts

+

Modal fragments of Prop are not retracts

@@ -590,7 +590,7 @@

Library Coq.Logic.Hurkens

-

Monadic modality

+

Monadic modality

@@ -613,7 +613,7 @@

Library Coq.Logic.Hurkens

-

The universe of modal propositions

+

The universe of modal propositions

@@ -643,7 +643,7 @@

Library Coq.Logic.Hurkens

-

Retract of the modal fragment of Prop in a small type

+

Retract of the modal fragment of Prop in a small type

@@ -663,7 +663,7 @@

Library Coq.Logic.Hurkens

-

Paradox

+

Paradox

@@ -722,7 +722,7 @@

Library Coq.Logic.Hurkens

-

The negative fragment of Prop is not a retract

+

The negative fragment of Prop is not a retract

@@ -739,7 +739,7 @@

Library Coq.Logic.Hurkens

-

The universe of negative propositions.

+

The universe of negative propositions.

@@ -755,7 +755,7 @@

Library Coq.Logic.Hurkens

-

Retract of the negative fragment of Prop in a small type

+

Retract of the negative fragment of Prop in a small type

@@ -775,7 +775,7 @@

Library Coq.Logic.Hurkens

-

Paradox

+

Paradox

@@ -806,7 +806,7 @@

Library Coq.Logic.Hurkens

-

Prop is not a retract

+

Prop is not a retract

@@ -823,7 +823,7 @@

Library Coq.Logic.Hurkens

-

The universe of propositions.

+

The universe of propositions.

@@ -839,7 +839,7 @@

Library Coq.Logic.Hurkens

-

Retract of Prop in a small type, using the identity modality.

+

Retract of Prop in a small type, using the identity modality.

@@ -855,7 +855,7 @@

Library Coq.Logic.Hurkens

-

Paradox

+

Paradox

@@ -886,7 +886,7 @@

Library Coq.Logic.Hurkens

-

Retract of Prop in a small type

+

Retract of Prop in a small type

@@ -904,7 +904,7 @@

Library Coq.Logic.Hurkens

-

Paradox

+

Paradox

@@ -931,7 +931,7 @@

Library Coq.Logic.Hurkens

-

Large universes are not retracts of Prop.

+

Large universes are not retracts of Prop.

@@ -956,7 +956,7 @@

Library Coq.Logic.Hurkens

-

Assumption of a retract from Type into Prop

+

Assumption of a retract from Type into Prop

@@ -970,7 +970,7 @@

Library Coq.Logic.Hurkens

-

Paradox

+

Paradox

@@ -1025,7 +1025,7 @@

Library Coq.Logic.Hurkens

-

A<>Type

+

A<>Type

@@ -1046,7 +1046,7 @@

Library Coq.Logic.Hurkens

-

Universe U is equal to one of its elements.

+

Universe U is equal to one of its elements.

@@ -1060,7 +1060,7 @@

Library Coq.Logic.Hurkens

-

Universe U is a retract of A

+

Universe U is a retract of A

@@ -1150,7 +1150,7 @@

Library Coq.Logic.Hurkens

-

Prop<>Type.

+

Prop<>Type.

diff --git a/master/stdlib/Coq.Logic.PropExtensionalityFacts.html b/master/stdlib/Coq.Logic.PropExtensionalityFacts.html index 16ad1993de..847c37a4c0 100644 --- a/master/stdlib/Coq.Logic.PropExtensionalityFacts.html +++ b/master/stdlib/Coq.Logic.PropExtensionalityFacts.html @@ -117,7 +117,7 @@

Library Coq.Logic.PropExtensionalityFacts

-

Definitions

+

Definitions

@@ -181,11 +181,11 @@

Library Coq.Logic.PropExtensionalityFacts

-

Propositional and predicate extensionality

+

Propositional and predicate extensionality

-

Predicate extensionality <-> Propositional extensionality + Propositional functional extensionality

+

Predicate extensionality <-> Propositional extensionality + Propositional functional extensionality

@@ -208,7 +208,7 @@

Library Coq.Logic.PropExtensionalityFacts

-

Propositional extensionality and provable proposition extensionality

+

Propositional extensionality and provable proposition extensionality

@@ -220,7 +220,7 @@

Library Coq.Logic.PropExtensionalityFacts

-

Propositional extensionality and refutable proposition extensionality

+

Propositional extensionality and refutable proposition extensionality

diff --git a/master/stdlib/Coq.Logic.PropFacts.html b/master/stdlib/Coq.Logic.PropFacts.html index ef557a4482..e3f6c94e64 100644 --- a/master/stdlib/Coq.Logic.PropFacts.html +++ b/master/stdlib/Coq.Logic.PropFacts.html @@ -49,7 +49,7 @@

Library Coq.Logic.PropFacts

-

Basic facts about Prop as a type

+

Basic facts about Prop as a type

diff --git a/master/stdlib/Coq.Logic.SetIsType.html b/master/stdlib/Coq.Logic.SetIsType.html index 1029584f30..8ad7fe853a 100644 --- a/master/stdlib/Coq.Logic.SetIsType.html +++ b/master/stdlib/Coq.Logic.SetIsType.html @@ -49,7 +49,7 @@

Library Coq.Logic.SetIsType

-

The Set universe seen as a synonym for Type

+

The Set universe seen as a synonym for Type

diff --git a/master/stdlib/Coq.MSets.MSetAVL.html b/master/stdlib/Coq.MSets.MSetAVL.html index 18ec239bcb..2530d8b587 100644 --- a/master/stdlib/Coq.MSets.MSetAVL.html +++ b/master/stdlib/Coq.MSets.MSetAVL.html @@ -49,7 +49,7 @@

Library Coq.MSets.MSetAVL

-

MSetAVL : Implementation of MSetInterface via AVL trees

+

MSetAVL : Implementation of MSetInterface via AVL trees

@@ -91,7 +91,7 @@

Library Coq.MSets.MSetAVL

-

Ops : the pure functions

+

Ops : the pure functions

@@ -105,7 +105,7 @@

Library Coq.MSets.MSetAVL

-

Generic trees instantiated with integer height

+

Generic trees instantiated with integer height

@@ -125,7 +125,7 @@

Library Coq.MSets.MSetAVL

-

Height of trees

+

Height of trees

@@ -141,7 +141,7 @@

Library Coq.MSets.MSetAVL

-

Singleton set

+

Singleton set

@@ -153,7 +153,7 @@

Library Coq.MSets.MSetAVL

-

Helper functions

+

Helper functions

@@ -216,7 +216,7 @@

Library Coq.MSets.MSetAVL

-

Insertion

+

Insertion

@@ -236,7 +236,7 @@

Library Coq.MSets.MSetAVL

-

Join

+

Join

@@ -265,7 +265,7 @@

Library Coq.MSets.MSetAVL

-

Extraction of minimum element

+

Extraction of minimum element

@@ -289,7 +289,7 @@

Library Coq.MSets.MSetAVL

-

Merging two trees

+

Merging two trees

@@ -313,7 +313,7 @@

Library Coq.MSets.MSetAVL

-

Deletion

+

Deletion

@@ -333,7 +333,7 @@

Library Coq.MSets.MSetAVL

-

Concatenation

+

Concatenation

@@ -357,7 +357,7 @@

Library Coq.MSets.MSetAVL

-

Splitting

+

Splitting

@@ -397,7 +397,7 @@

Library Coq.MSets.MSetAVL

-

Intersection

+

Intersection

@@ -416,7 +416,7 @@

Library Coq.MSets.MSetAVL

-

Difference

+

Difference

@@ -435,7 +435,7 @@

Library Coq.MSets.MSetAVL

-

Union

+

Union

@@ -466,7 +466,7 @@

Library Coq.MSets.MSetAVL

-

Filter

+

Filter

@@ -484,7 +484,7 @@

Library Coq.MSets.MSetAVL

-

Partition

+

Partition

@@ -507,7 +507,7 @@

Library Coq.MSets.MSetAVL

-

MakeRaw

+

MakeRaw

@@ -606,7 +606,7 @@

Library Coq.MSets.MSetAVL

-

Singleton set

+

Singleton set

@@ -622,7 +622,7 @@

Library Coq.MSets.MSetAVL

-

Helper functions

+

Helper functions

@@ -649,7 +649,7 @@

Library Coq.MSets.MSetAVL

-

Insertion

+

Insertion

@@ -673,7 +673,7 @@

Library Coq.MSets.MSetAVL

-

Join

+

Join

@@ -712,7 +712,7 @@

Library Coq.MSets.MSetAVL

-

Extraction of minimum element

+

Extraction of minimum element

@@ -736,7 +736,7 @@

Library Coq.MSets.MSetAVL

-

Merging two trees

+

Merging two trees

@@ -755,7 +755,7 @@

Library Coq.MSets.MSetAVL

-

Deletion

+

Deletion

@@ -772,7 +772,7 @@

Library Coq.MSets.MSetAVL

-

Concatenation

+

Concatenation

@@ -791,7 +791,7 @@

Library Coq.MSets.MSetAVL

-

Splitting

+

Splitting

@@ -823,7 +823,7 @@

Library Coq.MSets.MSetAVL

-

Intersection

+

Intersection

@@ -853,7 +853,7 @@

Library Coq.MSets.MSetAVL

-

Difference

+

Difference

@@ -874,7 +874,7 @@

Library Coq.MSets.MSetAVL

-

Union

+

Union

@@ -891,7 +891,7 @@

Library Coq.MSets.MSetAVL

-

Filter

+

Filter

@@ -913,7 +913,7 @@

Library Coq.MSets.MSetAVL

-

Partition

+

Partition

@@ -950,7 +950,7 @@

Library Coq.MSets.MSetAVL

-

Encapsulation

+

Encapsulation

diff --git a/master/stdlib/Coq.MSets.MSetDecide.html b/master/stdlib/Coq.MSets.MSetDecide.html index 6abd16ba96..b27987b15e 100644 --- a/master/stdlib/Coq.MSets.MSetDecide.html +++ b/master/stdlib/Coq.MSets.MSetDecide.html @@ -75,7 +75,7 @@

Library Coq.MSets.MSetDecide

-

Overview

+

Overview

This functor defines the tactic fsetdec, which will solve any valid goal of the form @@ -181,7 +181,7 @@

Library Coq.MSets.MSetDecide

-

Facts and Tactics for Propositional Logic

+

Facts and Tactics for Propositional Logic

These lemmas and tactics are in a module so that they do not affect the namespace if you import the enclosing @@ -196,18 +196,18 @@

Library Coq.MSets.MSetDecide

-

Lemmas and Tactics About Decidable Propositions

+

Lemmas and Tactics About Decidable Propositions

-

Propositional Equivalences Involving Negation

+

Propositional Equivalences Involving Negation

These are all written with the unfolded form of negation, since I am not sure if setoid rewriting will always perform conversion.
-

Tactics for Negations

+

Tactics for Negations

@@ -458,7 +458,7 @@

Library Coq.MSets.MSetDecide

-

Auxiliary Tactics

+

Auxiliary Tactics

Again, these lemmas and tactics are in a module so that they do not affect the namespace if you import the @@ -471,7 +471,7 @@

Library Coq.MSets.MSetDecide

-

Generic Tactics

+

Generic Tactics

We begin by defining a few generic, useful tactics.
@@ -588,7 +588,7 @@

Library Coq.MSets.MSetDecide

-

Discarding Irrelevant Hypotheses

+

Discarding Irrelevant Hypotheses

We will want to clear the context of any non-MSet-related hypotheses in order to increase the @@ -668,7 +668,7 @@

Library Coq.MSets.MSetDecide

-

Turning Set Operators into Propositional Connectives

+

Turning Set Operators into Propositional Connectives

The lemmas from MSetFacts will be used to break down set operations into propositional formulas built over @@ -694,7 +694,7 @@

Library Coq.MSets.MSetDecide

-

Decidability of MSet Propositions

+

Decidability of MSet Propositions

@@ -729,7 +729,7 @@

Library Coq.MSets.MSetDecide

-

Normalizing Propositions About Equality

+

Normalizing Propositions About Equality

We have to deal with the fact that E.eq may be convertible with Coq's equality. Thus, we will find the @@ -812,7 +812,7 @@

Library Coq.MSets.MSetDecide

-

Considering Decidability of Base Propositions

+

Considering Decidability of Base Propositions

This tactic adds assertions about the decidability of E.eq and In to the context. This is necessary for @@ -861,7 +861,7 @@

Library Coq.MSets.MSetDecide

-

Handling Empty, Subset, and Equal

+

Handling Empty, Subset, and Equal

This tactic instantiates universally quantified hypotheses (which arise from the unfolding of Empty, @@ -909,7 +909,7 @@

Library Coq.MSets.MSetDecide

-

The Core fsetdec Auxiliary Tactics

+

The Core fsetdec Auxiliary Tactics

@@ -951,7 +951,7 @@

Library Coq.MSets.MSetDecide

-

The fsetdec Tactic

+

The fsetdec Tactic

Here is the top-level tactic (the only one intended for clients of this library). It's specification is given at @@ -1065,7 +1065,7 @@

Library Coq.MSets.MSetDecide

-

Examples

+

Examples

diff --git a/master/stdlib/Coq.MSets.MSetEqProperties.html b/master/stdlib/Coq.MSets.MSetEqProperties.html index 3fa4f152f8..07bc11a5b6 100644 --- a/master/stdlib/Coq.MSets.MSetEqProperties.html +++ b/master/stdlib/Coq.MSets.MSetEqProperties.html @@ -49,7 +49,7 @@

Library Coq.MSets.MSetEqProperties

-

Finite sets library

+

Finite sets library

diff --git a/master/stdlib/Coq.MSets.MSetFacts.html b/master/stdlib/Coq.MSets.MSetFacts.html index 17855088fe..fd31ee621f 100644 --- a/master/stdlib/Coq.MSets.MSetFacts.html +++ b/master/stdlib/Coq.MSets.MSetFacts.html @@ -49,7 +49,7 @@

Library Coq.MSets.MSetFacts

-

Finite sets library

+

Finite sets library

@@ -88,7 +88,7 @@

Library Coq.MSets.MSetFacts

-

Specifications written using implications :

+

Specifications written using implications :

this used to be the default interface.
@@ -205,7 +205,7 @@

Library Coq.MSets.MSetFacts

-

Specifications written using equivalences :

+

Specifications written using equivalences :

this is now provided by the default interface.
@@ -294,7 +294,7 @@

Library Coq.MSets.MSetFacts

-

Specifications written using boolean predicates

+

Specifications written using boolean predicates

@@ -358,7 +358,7 @@

Library Coq.MSets.MSetFacts

-

Declarations of morphisms with respects to E.eq and Equal

+

Declarations of morphisms with respects to E.eq and Equal

diff --git a/master/stdlib/Coq.MSets.MSetGenTree.html b/master/stdlib/Coq.MSets.MSetGenTree.html index 94fe7c7e6e..632e91fcba 100644 --- a/master/stdlib/Coq.MSets.MSetGenTree.html +++ b/master/stdlib/Coq.MSets.MSetGenTree.html @@ -49,7 +49,7 @@

Library Coq.MSets.MSetGenTree

-

MSetGenTree : sets via generic trees

+

MSetGenTree : sets via generic trees

@@ -107,7 +107,7 @@

Library Coq.MSets.MSetGenTree

-

Ops : the pure functions

+

Ops : the pure functions

@@ -129,7 +129,7 @@

Library Coq.MSets.MSetGenTree

-

The empty set and emptyness test

+

The empty set and emptyness test

@@ -148,7 +148,7 @@

Library Coq.MSets.MSetGenTree

-

Membership test

+

Membership test

@@ -173,7 +173,7 @@

Library Coq.MSets.MSetGenTree

-

Minimal, maximal, arbitrary elements

+

Minimal, maximal, arbitrary elements

@@ -201,7 +201,7 @@

Library Coq.MSets.MSetGenTree

-

Iteration on elements

+

Iteration on elements

@@ -258,7 +258,7 @@

Library Coq.MSets.MSetGenTree

-

Testing universal or existential properties.

+

Testing universal or existential properties.

@@ -283,7 +283,7 @@

Library Coq.MSets.MSetGenTree

-

Comparison of trees

+

Comparison of trees

@@ -390,7 +390,7 @@

Library Coq.MSets.MSetGenTree

-

Subset test

+

Subset test

@@ -449,7 +449,7 @@

Library Coq.MSets.MSetGenTree

-

Props : correctness proofs of these generic operations

+

Props : correctness proofs of these generic operations

@@ -461,7 +461,7 @@

Library Coq.MSets.MSetGenTree

-

Occurrence in a tree

+

Occurrence in a tree

@@ -479,7 +479,7 @@

Library Coq.MSets.MSetGenTree

-

Some shortcuts

+

Some shortcuts

@@ -495,7 +495,7 @@

Library Coq.MSets.MSetGenTree

-

Binary search trees

+

Binary search trees

@@ -573,7 +573,7 @@

Library Coq.MSets.MSetGenTree

-

Known facts about ordered types

+

Known facts about ordered types

@@ -585,7 +585,7 @@

Library Coq.MSets.MSetGenTree

-

Automation and dedicated tactics

+

Automation and dedicated tactics

@@ -692,7 +692,7 @@

Library Coq.MSets.MSetGenTree

-

Basic results about In

+

Basic results about In

@@ -790,7 +790,7 @@

Library Coq.MSets.MSetGenTree

-

Empty set

+

Empty set

@@ -806,7 +806,7 @@

Library Coq.MSets.MSetGenTree

-

Emptyness test

+

Emptyness test

@@ -818,7 +818,7 @@

Library Coq.MSets.MSetGenTree

-

Membership

+

Membership

@@ -830,7 +830,7 @@

Library Coq.MSets.MSetGenTree

-

Minimal and maximal elements

+

Minimal and maximal elements

@@ -870,7 +870,7 @@

Library Coq.MSets.MSetGenTree

-

Elements

+

Elements

@@ -946,7 +946,7 @@

Library Coq.MSets.MSetGenTree

-

for_all and exists

+

for_all and exists

@@ -963,7 +963,7 @@

Library Coq.MSets.MSetGenTree

-

Fold

+

Fold

@@ -980,7 +980,7 @@

Library Coq.MSets.MSetGenTree

-

Subset

+

Subset

@@ -1005,7 +1005,7 @@

Library Coq.MSets.MSetGenTree

-

Comparison

+

Comparison

@@ -1107,7 +1107,7 @@

Library Coq.MSets.MSetGenTree

-

Equality test

+

Equality test

@@ -1120,7 +1120,7 @@

Library Coq.MSets.MSetGenTree

-

A few results about mindepth and maxdepth

+

A few results about mindepth and maxdepth

diff --git a/master/stdlib/Coq.MSets.MSetInterface.html b/master/stdlib/Coq.MSets.MSetInterface.html index 5da49ecfda..de0e01f108 100644 --- a/master/stdlib/Coq.MSets.MSetInterface.html +++ b/master/stdlib/Coq.MSets.MSetInterface.html @@ -49,7 +49,7 @@

Library Coq.MSets.MSetInterface

-

Finite set library

+

Finite set library

@@ -318,7 +318,7 @@

Library Coq.MSets.MSetInterface

-

Functorial signature for weak sets

+

Functorial signature for weak sets

@@ -432,7 +432,7 @@

Library Coq.MSets.MSetInterface

-

Static signature for weak sets

+

Static signature for weak sets

@@ -452,7 +452,7 @@

Library Coq.MSets.MSetInterface

-

Functorial signature for sets on ordered elements

+

Functorial signature for sets on ordered elements

@@ -564,7 +564,7 @@

Library Coq.MSets.MSetInterface

-

Static signature for sets on ordered elements

+

Static signature for sets on ordered elements

@@ -587,7 +587,7 @@

Library Coq.MSets.MSetInterface

-

Some subtyping tests

+

Some subtyping tests

 WSetsOn ---> WSets
@@ -604,7 +604,7 @@ 
Library Coq.MSets.MSetInterface

 
 
 

 
-
Signatures for set representations with ill-formed values.

+
Signatures for set representations with ill-formed values.

 
 
 
 

diff --git a/master/stdlib/Coq.MSets.MSetList.html b/master/stdlib/Coq.MSets.MSetList.html
index e17bbf7ef7..7a8d05c27c 100644
--- a/master/stdlib/Coq.MSets.MSetList.html
+++ b/master/stdlib/Coq.MSets.MSetList.html
@@ -49,7 +49,7 @@ 
Library Coq.MSets.MSetList
-

Finite sets library

+

Finite sets library

@@ -66,7 +66,7 @@

Library Coq.MSets.MSetList

-

Functions over lists

+

Functions over lists

@@ -94,7 +94,7 @@

Library Coq.MSets.MSetList

-

The set operations.

+

The set operations.

@@ -302,7 +302,7 @@

Library Coq.MSets.MSetList

-

Proofs of set operation specifications.

+

Proofs of set operation specifications.

@@ -643,7 +643,7 @@

Library Coq.MSets.MSetList

-

Encapsulation

+

Encapsulation

diff --git a/master/stdlib/Coq.MSets.MSetProperties.html b/master/stdlib/Coq.MSets.MSetProperties.html index 426b4a66b8..fc3a0a7f72 100644 --- a/master/stdlib/Coq.MSets.MSetProperties.html +++ b/master/stdlib/Coq.MSets.MSetProperties.html @@ -49,7 +49,7 @@

Library Coq.MSets.MSetProperties

-

Finite sets library

+

Finite sets library

@@ -342,7 +342,7 @@

Library Coq.MSets.MSetProperties

-

Properties of elements

+

Properties of elements

@@ -357,7 +357,7 @@

Library Coq.MSets.MSetProperties

-

Conversions between lists and sets

+

Conversions between lists and sets

@@ -381,7 +381,7 @@

Library Coq.MSets.MSetProperties

-

Fold

+

Fold

@@ -409,7 +409,7 @@

Library Coq.MSets.MSetProperties

-

Induction principles for fold (contributed by S. Lescuyer)

+

Induction principles for fold (contributed by S. Lescuyer)

@@ -515,7 +515,7 @@

Library Coq.MSets.MSetProperties

-

Alternative (weaker) specifications for fold

+

Alternative (weaker) specifications for fold

@@ -587,7 +587,7 @@

Library Coq.MSets.MSetProperties

-

Fold is a morphism

+

Fold is a morphism

@@ -604,7 +604,7 @@

Library Coq.MSets.MSetProperties

-

Fold and other set operators

+

Fold and other set operators

@@ -656,11 +656,11 @@

Library Coq.MSets.MSetProperties

-

Cardinal

+

Cardinal

-

Characterization of cardinal in terms of fold

+

Characterization of cardinal in terms of fold

@@ -672,7 +672,7 @@

Library Coq.MSets.MSetProperties

-

Old specifications for cardinal.

+

Old specifications for cardinal.

@@ -695,7 +695,7 @@

Library Coq.MSets.MSetProperties

-

Cardinal and (non-)emptiness

+

Cardinal and (non-)emptiness

@@ -720,7 +720,7 @@

Library Coq.MSets.MSetProperties

-

Cardinal is a morphism

+

Cardinal is a morphism

@@ -740,7 +740,7 @@

Library Coq.MSets.MSetProperties

-

Cardinal and set operators

+

Cardinal and set operators

diff --git a/master/stdlib/Coq.MSets.MSetRBT.html b/master/stdlib/Coq.MSets.MSetRBT.html index 45cb4de1b7..246132991a 100644 --- a/master/stdlib/Coq.MSets.MSetRBT.html +++ b/master/stdlib/Coq.MSets.MSetRBT.html @@ -49,7 +49,7 @@

Library Coq.MSets.MSetRBT

-

MSetRBT : Implementation of MSetInterface via Red-Black trees

+

MSetRBT : Implementation of MSetInterface via Red-Black trees

@@ -153,7 +153,7 @@

Library Coq.MSets.MSetRBT

-

Ops : the pure functions

+

Ops : the pure functions

@@ -165,7 +165,7 @@

Library Coq.MSets.MSetRBT

-

Generic trees instantiated with color

+

Generic trees instantiated with color

@@ -187,7 +187,7 @@

Library Coq.MSets.MSetRBT

-

Basic tree

+

Basic tree

@@ -199,7 +199,7 @@

Library Coq.MSets.MSetRBT

-

Changing root color

+

Changing root color

@@ -222,7 +222,7 @@

Library Coq.MSets.MSetRBT

-

Balancing

+

Balancing

@@ -303,7 +303,7 @@

Library Coq.MSets.MSetRBT

-

Insertion

+

Insertion

@@ -335,7 +335,7 @@

Library Coq.MSets.MSetRBT

-

Deletion

+

Deletion

@@ -395,7 +395,7 @@

Library Coq.MSets.MSetRBT

-

Removing minimal element

+

Removing minimal element

@@ -425,7 +425,7 @@

Library Coq.MSets.MSetRBT

-

Tree-ification

+

Tree-ification

@@ -488,7 +488,7 @@

Library Coq.MSets.MSetRBT

-

Filtering

+

Filtering

@@ -526,7 +526,7 @@

Library Coq.MSets.MSetRBT

-

Union, intersection, difference

+

Union, intersection, difference

@@ -686,7 +686,7 @@

Library Coq.MSets.MSetRBT

-

MakeRaw : the pure functions and their specifications

+

MakeRaw : the pure functions and their specifications

@@ -724,7 +724,7 @@

Library Coq.MSets.MSetRBT

-

Singleton set

+

Singleton set

@@ -740,7 +740,7 @@

Library Coq.MSets.MSetRBT

-

makeBlack, MakeRed

+

makeBlack, MakeRed

@@ -763,7 +763,7 @@

Library Coq.MSets.MSetRBT

-

Generic handling for red-matching and red-red-matching

+

Generic handling for red-matching and red-red-matching

@@ -888,7 +888,7 @@

Library Coq.MSets.MSetRBT

-

Balancing for insertion

+

Balancing for insertion

@@ -934,7 +934,7 @@

Library Coq.MSets.MSetRBT

-

Insertion

+

Insertion

@@ -967,7 +967,7 @@

Library Coq.MSets.MSetRBT

-

Balancing for deletion

+

Balancing for deletion

@@ -997,7 +997,7 @@

Library Coq.MSets.MSetRBT

-

Append for deletion

+

Append for deletion

@@ -1050,7 +1050,7 @@

Library Coq.MSets.MSetRBT

-

Deletion

+

Deletion

@@ -1081,7 +1081,7 @@

Library Coq.MSets.MSetRBT

-

Removing the minimal element

+

Removing the minimal element

@@ -1110,7 +1110,7 @@

Library Coq.MSets.MSetRBT

-

Treeify

+

Treeify

@@ -1162,7 +1162,7 @@

Library Coq.MSets.MSetRBT

-

Filter

+

Filter

@@ -1188,7 +1188,7 @@

Library Coq.MSets.MSetRBT

-

Partition

+

Partition

@@ -1224,7 +1224,7 @@

Library Coq.MSets.MSetRBT

-

An invariant for binary list functions with accumulator.

+

An invariant for binary list functions with accumulator.

@@ -1271,7 +1271,7 @@

Library Coq.MSets.MSetRBT

-

union

+

union

@@ -1319,7 +1319,7 @@

Library Coq.MSets.MSetRBT

-

inter

+

inter

@@ -1360,7 +1360,7 @@

Library Coq.MSets.MSetRBT

-

difference

+

difference

@@ -1409,7 +1409,7 @@

Library Coq.MSets.MSetRBT

-

Balancing properties

+

Balancing properties

@@ -1432,7 +1432,7 @@

Library Coq.MSets.MSetRBT

-

Red-Black invariants

+

Red-Black invariants

@@ -1503,7 +1503,7 @@

Library Coq.MSets.MSetRBT

-

Basic tactics and results about red-black

+

Basic tactics and results about red-black

@@ -1538,7 +1538,7 @@

Library Coq.MSets.MSetRBT

-

A Red-Black tree has indeed a logarithmic depth

+

A Red-Black tree has indeed a logarithmic depth

@@ -1564,7 +1564,7 @@

Library Coq.MSets.MSetRBT

-

Singleton

+

Singleton

@@ -1576,7 +1576,7 @@

Library Coq.MSets.MSetRBT

-

makeBlack and makeRed

+

makeBlack and makeRed

@@ -1592,7 +1592,7 @@

Library Coq.MSets.MSetRBT

-

Balancing

+

Balancing

@@ -1629,7 +1629,7 @@

Library Coq.MSets.MSetRBT

-

Insertion

+

Insertion

@@ -1662,7 +1662,7 @@

Library Coq.MSets.MSetRBT

-

Deletion

+

Deletion

@@ -1693,7 +1693,7 @@

Library Coq.MSets.MSetRBT

-

Treeify

+

Treeify

@@ -1740,7 +1740,7 @@

Library Coq.MSets.MSetRBT

-

Filtering

+

Filtering

@@ -1761,7 +1761,7 @@

Library Coq.MSets.MSetRBT

-

Union, intersection, difference

+

Union, intersection, difference

@@ -1790,7 +1790,7 @@

Library Coq.MSets.MSetRBT

-

Final Encapsulation

+

Final Encapsulation

diff --git a/master/stdlib/Coq.MSets.MSetToFiniteSet.html b/master/stdlib/Coq.MSets.MSetToFiniteSet.html index b09bb6c2c2..a8d515af8e 100644 --- a/master/stdlib/Coq.MSets.MSetToFiniteSet.html +++ b/master/stdlib/Coq.MSets.MSetToFiniteSet.html @@ -49,7 +49,7 @@

Library Coq.MSets.MSetToFiniteSet

-

Finite sets library : conversion to old Finite_sets

+

Finite sets library : conversion to old Finite_sets

@@ -62,7 +62,7 @@

Library Coq.MSets.MSetToFiniteSet

-

Going from MSets with usual Leibniz equality

+

Going from MSets with usual Leibniz equality

to the good old Ensembles and Finite_sets theory.
diff --git a/master/stdlib/Coq.MSets.MSetWeakList.html b/master/stdlib/Coq.MSets.MSetWeakList.html index 73b43bb514..57b539606e 100644 --- a/master/stdlib/Coq.MSets.MSetWeakList.html +++ b/master/stdlib/Coq.MSets.MSetWeakList.html @@ -49,7 +49,7 @@

Library Coq.MSets.MSetWeakList

-

Finite sets library

+

Finite sets library

@@ -69,7 +69,7 @@

Library Coq.MSets.MSetWeakList

-

Functions over lists

+

Functions over lists

@@ -79,7 +79,7 @@

Library Coq.MSets.MSetWeakList

And the functions returning sets are proved to preserve this invariant.
-

The set operations.

+

The set operations.

@@ -194,7 +194,7 @@

Library Coq.MSets.MSetWeakList

-

Proofs of set operation specifications.

+

Proofs of set operation specifications.

@@ -426,7 +426,7 @@

Library Coq.MSets.MSetWeakList

-

Encapsulation

+

Encapsulation

diff --git a/master/stdlib/Coq.NArith.BinNat.html b/master/stdlib/Coq.NArith.BinNat.html index 49e5cb3371..e40d0d8bb4 100644 --- a/master/stdlib/Coq.NArith.BinNat.html +++ b/master/stdlib/Coq.NArith.BinNat.html @@ -55,7 +55,7 @@

Library Coq.NArith.BinNat

-

Binary natural numbers, operations and properties

+

Binary natural numbers, operations and properties

@@ -886,7 +886,7 @@

Library Coq.NArith.BinNat

-

Properties of iter

+

Properties of iter

diff --git a/master/stdlib/Coq.NArith.BinNatDef.html b/master/stdlib/Coq.NArith.BinNatDef.html index 5347decaa9..d2bee95dfa 100644 --- a/master/stdlib/Coq.NArith.BinNatDef.html +++ b/master/stdlib/Coq.NArith.BinNatDef.html @@ -61,7 +61,7 @@

Library Coq.NArith.BinNatDef

-

Binary natural numbers, definitions of operations

+

Binary natural numbers, definitions of operations

@@ -76,7 +76,7 @@

Library Coq.NArith.BinNatDef

-

Nicer name N.pos for constructor Npos

+

Nicer name N.pos for constructor Npos

@@ -88,7 +88,7 @@

Library Coq.NArith.BinNatDef

-

Constants

+

Constants

@@ -102,7 +102,7 @@

Library Coq.NArith.BinNatDef

-

Operation x -> 2*x+1

+

Operation x -> 2*x+1

@@ -118,7 +118,7 @@

Library Coq.NArith.BinNatDef

-

Operation x -> 2*x

+

Operation x -> 2*x

@@ -134,7 +134,7 @@

Library Coq.NArith.BinNatDef

-

Successor

+

Successor

@@ -150,7 +150,7 @@

Library Coq.NArith.BinNatDef

-

Predecessor

+

Predecessor

@@ -166,7 +166,7 @@

Library Coq.NArith.BinNatDef

-

The successor of a N can be seen as a positive

+

The successor of a N can be seen as a positive

@@ -182,7 +182,7 @@

Library Coq.NArith.BinNatDef

-

Addition

+

Addition

diff --git a/master/stdlib/Coq.NArith.Nnat.html b/master/stdlib/Coq.NArith.Nnat.html index 5af3ceddd6..58cab5c7b9 100644 --- a/master/stdlib/Coq.NArith.Nnat.html +++ b/master/stdlib/Coq.NArith.Nnat.html @@ -52,7 +52,7 @@

Library Coq.NArith.Nnat

-

Conversions from N to nat

+

Conversions from N to nat

@@ -168,7 +168,7 @@

Library Coq.NArith.Nnat

-

Conversions from nat to N

+

Conversions from nat to N

diff --git a/master/stdlib/Coq.Numbers.AltBinNotations.html b/master/stdlib/Coq.Numbers.AltBinNotations.html index 9119385b9c..82657986a6 100644 --- a/master/stdlib/Coq.Numbers.AltBinNotations.html +++ b/master/stdlib/Coq.Numbers.AltBinNotations.html @@ -49,7 +49,7 @@

Library Coq.Numbers.AltBinNotations

-

Alternative Binary Number Notations

+

Alternative Binary Number Notations

diff --git a/master/stdlib/Coq.Numbers.BinNums.html b/master/stdlib/Coq.Numbers.BinNums.html index f4f383c9f5..bdb406cf76 100644 --- a/master/stdlib/Coq.Numbers.BinNums.html +++ b/master/stdlib/Coq.Numbers.BinNums.html @@ -49,7 +49,7 @@

Library Coq.Numbers.BinNums

-

Binary Numerical Datatypes

+

Binary Numerical Datatypes

diff --git a/master/stdlib/Coq.Numbers.Cyclic.Abstract.CyclicAxioms.html b/master/stdlib/Coq.Numbers.Cyclic.Abstract.CyclicAxioms.html index 314ae15275..d065b2f962 100644 --- a/master/stdlib/Coq.Numbers.Cyclic.Abstract.CyclicAxioms.html +++ b/master/stdlib/Coq.Numbers.Cyclic.Abstract.CyclicAxioms.html @@ -49,7 +49,7 @@

Library Coq.Numbers.Cyclic.Abstract.CyclicAxioms

-

Signature and specification of bounded integers

+

Signature and specification of bounded integers

diff --git a/master/stdlib/Coq.Numbers.Cyclic.Abstract.NZCyclic.html b/master/stdlib/Coq.Numbers.Cyclic.Abstract.NZCyclic.html index 8098b55599..dedd9759ff 100644 --- a/master/stdlib/Coq.Numbers.Cyclic.Abstract.NZCyclic.html +++ b/master/stdlib/Coq.Numbers.Cyclic.Abstract.NZCyclic.html @@ -57,7 +57,7 @@

Library Coq.Numbers.Cyclic.Abstract.NZCyclic

-

From CyclicType to NZAxiomsSig

+

From CyclicType to NZAxiomsSig

diff --git a/master/stdlib/Coq.Numbers.Cyclic.Int63.Cyclic63.html b/master/stdlib/Coq.Numbers.Cyclic.Int63.Cyclic63.html index ffda2e009b..830e7d6266 100644 --- a/master/stdlib/Coq.Numbers.Cyclic.Int63.Cyclic63.html +++ b/master/stdlib/Coq.Numbers.Cyclic.Int63.Cyclic63.html @@ -49,7 +49,7 @@

Library Coq.Numbers.Cyclic.Int63.Cyclic63

-

Uint63 numbers defines indeed a cyclic structure : Z/(2^63)Z

+

Uint63 numbers defines indeed a cyclic structure : Z/(2^63)Z

diff --git a/master/stdlib/Coq.Numbers.Cyclic.Int63.Ring63.html b/master/stdlib/Coq.Numbers.Cyclic.Int63.Ring63.html index 00bac6c111..27b48e6b13 100644 --- a/master/stdlib/Coq.Numbers.Cyclic.Int63.Ring63.html +++ b/master/stdlib/Coq.Numbers.Cyclic.Int63.Ring63.html @@ -49,7 +49,7 @@

Library Coq.Numbers.Cyclic.Int63.Ring63

-

Uint63 numbers defines Z/(2^63)Z, and can hence be equipped

+

Uint63 numbers defines Z/(2^63)Z, and can hence be equipped

with a ring structure and a ring tactic
diff --git a/master/stdlib/Coq.Numbers.DecimalFacts.html b/master/stdlib/Coq.Numbers.DecimalFacts.html index 02575e7027..09cb281011 100644 --- a/master/stdlib/Coq.Numbers.DecimalFacts.html +++ b/master/stdlib/Coq.Numbers.DecimalFacts.html @@ -49,7 +49,7 @@

Library Coq.Numbers.DecimalFacts

-

DecimalFacts : some facts about Decimal numbers

+

DecimalFacts : some facts about Decimal numbers

diff --git a/master/stdlib/Coq.Numbers.DecimalN.html b/master/stdlib/Coq.Numbers.DecimalN.html index c3bd9a917f..ea51618165 100644 --- a/master/stdlib/Coq.Numbers.DecimalN.html +++ b/master/stdlib/Coq.Numbers.DecimalN.html @@ -49,7 +49,7 @@

Library Coq.Numbers.DecimalN

-

DecimalN

+

DecimalN

diff --git a/master/stdlib/Coq.Numbers.DecimalNat.html b/master/stdlib/Coq.Numbers.DecimalNat.html index ff8c18ab75..dc5f707911 100644 --- a/master/stdlib/Coq.Numbers.DecimalNat.html +++ b/master/stdlib/Coq.Numbers.DecimalNat.html @@ -49,7 +49,7 @@

Library Coq.Numbers.DecimalNat

-

DecimalNat

+

DecimalNat

diff --git a/master/stdlib/Coq.Numbers.DecimalPos.html b/master/stdlib/Coq.Numbers.DecimalPos.html index ee843502ba..07ea2ee74c 100644 --- a/master/stdlib/Coq.Numbers.DecimalPos.html +++ b/master/stdlib/Coq.Numbers.DecimalPos.html @@ -49,7 +49,7 @@

Library Coq.Numbers.DecimalPos

-

DecimalPos

+

DecimalPos

diff --git a/master/stdlib/Coq.Numbers.DecimalQ.html b/master/stdlib/Coq.Numbers.DecimalQ.html index f2b6607e94..3789dee230 100644 --- a/master/stdlib/Coq.Numbers.DecimalQ.html +++ b/master/stdlib/Coq.Numbers.DecimalQ.html @@ -49,7 +49,7 @@

Library Coq.Numbers.DecimalQ

-

DecimalQ

+

DecimalQ

diff --git a/master/stdlib/Coq.Numbers.DecimalR.html b/master/stdlib/Coq.Numbers.DecimalR.html index 95a60768e4..e5790fbeea 100644 --- a/master/stdlib/Coq.Numbers.DecimalR.html +++ b/master/stdlib/Coq.Numbers.DecimalR.html @@ -49,7 +49,7 @@

Library Coq.Numbers.DecimalR

-

DecimalR

+

DecimalR

diff --git a/master/stdlib/Coq.Numbers.DecimalString.html b/master/stdlib/Coq.Numbers.DecimalString.html index b95e5d5117..3e1dc06523 100644 --- a/master/stdlib/Coq.Numbers.DecimalString.html +++ b/master/stdlib/Coq.Numbers.DecimalString.html @@ -52,7 +52,7 @@

Library Coq.Numbers.DecimalString

-

Conversion between decimal numbers and Coq strings

+

Conversion between decimal numbers and Coq strings

diff --git a/master/stdlib/Coq.Numbers.DecimalZ.html b/master/stdlib/Coq.Numbers.DecimalZ.html index d995b6164f..a4b9cda6fd 100644 --- a/master/stdlib/Coq.Numbers.DecimalZ.html +++ b/master/stdlib/Coq.Numbers.DecimalZ.html @@ -49,7 +49,7 @@

Library Coq.Numbers.DecimalZ

-

DecimalZ

+

DecimalZ

diff --git a/master/stdlib/Coq.Numbers.HexadecimalFacts.html b/master/stdlib/Coq.Numbers.HexadecimalFacts.html index 9520be41a6..fdca1e347d 100644 --- a/master/stdlib/Coq.Numbers.HexadecimalFacts.html +++ b/master/stdlib/Coq.Numbers.HexadecimalFacts.html @@ -49,7 +49,7 @@

Library Coq.Numbers.HexadecimalFacts

-

HexadecimalFacts : some facts about Hexadecimal numbers

+

HexadecimalFacts : some facts about Hexadecimal numbers

diff --git a/master/stdlib/Coq.Numbers.HexadecimalN.html b/master/stdlib/Coq.Numbers.HexadecimalN.html index be63c7302d..42e73f5705 100644 --- a/master/stdlib/Coq.Numbers.HexadecimalN.html +++ b/master/stdlib/Coq.Numbers.HexadecimalN.html @@ -49,7 +49,7 @@

Library Coq.Numbers.HexadecimalN

-

HexadecimalN

+

HexadecimalN

diff --git a/master/stdlib/Coq.Numbers.HexadecimalNat.html b/master/stdlib/Coq.Numbers.HexadecimalNat.html index f6cd4e21dd..2c989021ae 100644 --- a/master/stdlib/Coq.Numbers.HexadecimalNat.html +++ b/master/stdlib/Coq.Numbers.HexadecimalNat.html @@ -49,7 +49,7 @@

Library Coq.Numbers.HexadecimalNat

-

HexadecimalNat

+

HexadecimalNat

diff --git a/master/stdlib/Coq.Numbers.HexadecimalPos.html b/master/stdlib/Coq.Numbers.HexadecimalPos.html index ad5b1ff523..3fc4ef11d8 100644 --- a/master/stdlib/Coq.Numbers.HexadecimalPos.html +++ b/master/stdlib/Coq.Numbers.HexadecimalPos.html @@ -49,7 +49,7 @@

Library Coq.Numbers.HexadecimalPos

-

HexadecimalPos

+

HexadecimalPos

diff --git a/master/stdlib/Coq.Numbers.HexadecimalQ.html b/master/stdlib/Coq.Numbers.HexadecimalQ.html index 4234541fef..4736b3fdf6 100644 --- a/master/stdlib/Coq.Numbers.HexadecimalQ.html +++ b/master/stdlib/Coq.Numbers.HexadecimalQ.html @@ -49,7 +49,7 @@

Library Coq.Numbers.HexadecimalQ

-

HexadecimalQ

+

HexadecimalQ

diff --git a/master/stdlib/Coq.Numbers.HexadecimalR.html b/master/stdlib/Coq.Numbers.HexadecimalR.html index 9afcc7100f..a6a69e2aaa 100644 --- a/master/stdlib/Coq.Numbers.HexadecimalR.html +++ b/master/stdlib/Coq.Numbers.HexadecimalR.html @@ -49,7 +49,7 @@

Library Coq.Numbers.HexadecimalR

-

HexadecimalR

+

HexadecimalR

diff --git a/master/stdlib/Coq.Numbers.HexadecimalString.html b/master/stdlib/Coq.Numbers.HexadecimalString.html index 0987d42160..0a3c06e3b3 100644 --- a/master/stdlib/Coq.Numbers.HexadecimalString.html +++ b/master/stdlib/Coq.Numbers.HexadecimalString.html @@ -52,7 +52,7 @@

Library Coq.Numbers.HexadecimalString

-

Conversion between hexadecimal numbers and Coq strings

+

Conversion between hexadecimal numbers and Coq strings

diff --git a/master/stdlib/Coq.Numbers.HexadecimalZ.html b/master/stdlib/Coq.Numbers.HexadecimalZ.html index 7f2bcf98c9..9a7077e540 100644 --- a/master/stdlib/Coq.Numbers.HexadecimalZ.html +++ b/master/stdlib/Coq.Numbers.HexadecimalZ.html @@ -49,7 +49,7 @@

Library Coq.Numbers.HexadecimalZ

-

HexadecimalZ

+

HexadecimalZ

diff --git a/master/stdlib/Coq.Numbers.Integer.Abstract.ZBits.html b/master/stdlib/Coq.Numbers.Integer.Abstract.ZBits.html index 385b654b5b..120d4031be 100644 --- a/master/stdlib/Coq.Numbers.Integer.Abstract.ZBits.html +++ b/master/stdlib/Coq.Numbers.Integer.Abstract.ZBits.html @@ -473,7 +473,7 @@

Library Coq.Numbers.Integer.Abstract.ZBits

-

Properties of shifts

+

Properties of shifts

diff --git a/master/stdlib/Coq.Numbers.Integer.Abstract.ZDivEucl.html b/master/stdlib/Coq.Numbers.Integer.Abstract.ZDivEucl.html index 967ad62286..87f84f1a05 100644 --- a/master/stdlib/Coq.Numbers.Integer.Abstract.ZDivEucl.html +++ b/master/stdlib/Coq.Numbers.Integer.Abstract.ZDivEucl.html @@ -52,7 +52,7 @@

Library Coq.Numbers.Integer.Abstract.ZDivEucl

-

Euclidean Division for integers, Euclid convention

+

Euclidean Division for integers, Euclid convention

@@ -243,7 +243,7 @@

Library Coq.Numbers.Integer.Abstract.ZDivEucl

-

Basic values of divisions and modulo.

+

Basic values of divisions and modulo.

@@ -279,7 +279,7 @@

Library Coq.Numbers.Integer.Abstract.ZDivEucl

-

Order results about mod and div

+

Order results about mod and div

@@ -408,7 +408,7 @@

Library Coq.Numbers.Integer.Abstract.ZDivEucl

-

Relations between usual operations and mod and div

+

Relations between usual operations and mod and div

diff --git a/master/stdlib/Coq.Numbers.Integer.Abstract.ZDivFloor.html b/master/stdlib/Coq.Numbers.Integer.Abstract.ZDivFloor.html index a06791362c..f30bd1fe38 100644 --- a/master/stdlib/Coq.Numbers.Integer.Abstract.ZDivFloor.html +++ b/master/stdlib/Coq.Numbers.Integer.Abstract.ZDivFloor.html @@ -52,7 +52,7 @@

Library Coq.Numbers.Integer.Abstract.ZDivFloor

-

Euclidean Division for integers (Floor convention)

+

Euclidean Division for integers (Floor convention)

@@ -284,7 +284,7 @@

Library Coq.Numbers.Integer.Abstract.ZDivFloor

-

Basic values of divisions and modulo.

+

Basic values of divisions and modulo.

@@ -320,7 +320,7 @@

Library Coq.Numbers.Integer.Abstract.ZDivFloor

-

Order results about mod and div

+

Order results about mod and div

@@ -457,7 +457,7 @@

Library Coq.Numbers.Integer.Abstract.ZDivFloor

-

Relations between usual operations and mod and div

+

Relations between usual operations and mod and div

diff --git a/master/stdlib/Coq.Numbers.Integer.Abstract.ZDivTrunc.html b/master/stdlib/Coq.Numbers.Integer.Abstract.ZDivTrunc.html index f2e8a8e0b8..6bba1628da 100644 --- a/master/stdlib/Coq.Numbers.Integer.Abstract.ZDivTrunc.html +++ b/master/stdlib/Coq.Numbers.Integer.Abstract.ZDivTrunc.html @@ -52,7 +52,7 @@

Library Coq.Numbers.Integer.Abstract.ZDivTrunc

-

Euclidean Division for integers (Trunc convention)

+

Euclidean Division for integers (Trunc convention)

@@ -209,7 +209,7 @@

Library Coq.Numbers.Integer.Abstract.ZDivTrunc

-

Basic values of divisions and modulo.

+

Basic values of divisions and modulo.

@@ -307,7 +307,7 @@

Library Coq.Numbers.Integer.Abstract.ZDivTrunc

-

Order results about rem and quot

+

Order results about rem and quot

@@ -442,7 +442,7 @@

Library Coq.Numbers.Integer.Abstract.ZDivTrunc

-

Relations between usual operations and rem and quot

+

Relations between usual operations and rem and quot

diff --git a/master/stdlib/Coq.Numbers.Integer.Abstract.ZLcm.html b/master/stdlib/Coq.Numbers.Integer.Abstract.ZLcm.html index 8571ac07ab..5ff95b4823 100644 --- a/master/stdlib/Coq.Numbers.Integer.Abstract.ZLcm.html +++ b/master/stdlib/Coq.Numbers.Integer.Abstract.ZLcm.html @@ -52,7 +52,7 @@

Library Coq.Numbers.Integer.Abstract.ZLcm

-

Least Common Multiple

+

Least Common Multiple

diff --git a/master/stdlib/Coq.Numbers.Integer.Abstract.ZMaxMin.html b/master/stdlib/Coq.Numbers.Integer.Abstract.ZMaxMin.html index c8f8abd365..fc8c3c6f4d 100644 --- a/master/stdlib/Coq.Numbers.Integer.Abstract.ZMaxMin.html +++ b/master/stdlib/Coq.Numbers.Integer.Abstract.ZMaxMin.html @@ -52,7 +52,7 @@

Library Coq.Numbers.Integer.Abstract.ZMaxMin

-

Properties of minimum and maximum specific to integer numbers

+

Properties of minimum and maximum specific to integer numbers

diff --git a/master/stdlib/Coq.Numbers.Integer.Binary.ZBinary.html b/master/stdlib/Coq.Numbers.Integer.Binary.ZBinary.html index 3e251599dd..118c853c57 100644 --- a/master/stdlib/Coq.Numbers.Integer.Binary.ZBinary.html +++ b/master/stdlib/Coq.Numbers.Integer.Binary.ZBinary.html @@ -69,7 +69,7 @@

Library Coq.Numbers.Integer.Binary.ZBinary

-

An order tactic for integers

+

An order tactic for integers

diff --git a/master/stdlib/Coq.Numbers.NaryFunctions.html b/master/stdlib/Coq.Numbers.NaryFunctions.html index b7f044c5f0..dca4cdc511 100644 --- a/master/stdlib/Coq.Numbers.NaryFunctions.html +++ b/master/stdlib/Coq.Numbers.NaryFunctions.html @@ -57,7 +57,7 @@

Library Coq.Numbers.NaryFunctions

-

Generic dependently-typed operators about n-ary functions

+

Generic dependently-typed operators about n-ary functions

diff --git a/master/stdlib/Coq.Numbers.NatInt.NZAxioms.html b/master/stdlib/Coq.Numbers.NatInt.NZAxioms.html index fdc66f4f19..fbb2d05e51 100644 --- a/master/stdlib/Coq.Numbers.NatInt.NZAxioms.html +++ b/master/stdlib/Coq.Numbers.NatInt.NZAxioms.html @@ -50,22 +50,112 @@

Library Coq.Numbers.NatInt.NZAxioms

Initial Author : Evgeny Makarov, INRIA, 2007 +
+ +

Axioms for a domain with zero, succ, pred.

+

-Require Export Equalities Orders NumPrelude GenericMinMax.
+From Coq.Structures Require Export Equalities Orders.

-Axiomatization of a domain with zero, successor, predecessor, - and a bi-directional induction principle. We require P (S n) = n - but not the other way around, since this domain is meant - to be either N or Z. In fact it can be a few other things, +We use the Equalities module in order to work with a general decidable + equality eq. +
+ + The Orders module contains module types about orders lt and le in + Prop. + +
+
+ +
+From Coq.Numbers Require Export NumPrelude.
+ +
+From Coq.Structures Require Export GenericMinMax.
+
+ +
+The GenericMinMax module adds specifications and basic lemmas for min + and max operators on ordered types. +
+ + At the end of the day, this file defines the module types + NZDecOrdAxiomsSig and NZDecOrdAxiomsSig' (with notations) : +
+Module Type
+ NZDecOrdAxiomsSig' =
+ Sig
+   Parameter t : Type.
+   Parameter eq : t -> t -> Prop.
+   Parameter eq_equiv : Equivalence eq.
+   Parameter zero : t.
+   Parameter succ : t -> t.
+   Parameter pred : t -> t.
+   Parameter succ_wd : Proper (eq ==> eq) succ.
+   Parameter pred_wd : Proper (eq ==> eq) pred.
+   Parameter pred_succ : forall n : t, eq (pred (succ n)) n.
+   Parameter bi_induction :
+     forall A : t -> Prop,
+     Proper (eq ==> iff) A ->
+     A zero -> (forall n : t, A n <-> A (succ n)) -> forall n : t, A n.
+   Parameter one : t.
+   Parameter two : t.
+   Parameter one_succ : eq one (succ zero).
+   Parameter two_succ : eq two (succ one).
+   Parameter lt : t -> t -> Prop.
+   Parameter le : t -> t -> Prop.
+   Parameter lt_wd : Proper (eq ==> eq ==> iff) lt.
+   Parameter lt_eq_cases : forall n m : t, le n m <-> lt n m \/ eq n m.
+   Parameter lt_irrefl : forall n : t, ~ lt n n.
+   Parameter lt_succ_r : forall n m : t, lt n (succ m) <-> le n m.
+   Parameter add : t -> t -> t.
+   Parameter sub : t -> t -> t.
+   Parameter mul : t -> t -> t.
+   Parameter add_wd : Proper (eq ==> eq ==> eq) add.
+   Parameter sub_wd : Proper (eq ==> eq ==> eq) sub.
+   Parameter mul_wd : Proper (eq ==> eq ==> eq) mul.
+   Parameter add_0_l : forall n : t, eq (add zero n) n.
+   Parameter add_succ_l :
+     forall n m : t, eq (add (succ n) m) (succ (add n m)).
+   Parameter sub_0_r : forall n : t, eq (sub n zero) n.
+   Parameter sub_succ_r :
+     forall n m : t, eq (sub n (succ m)) (pred (sub n m)).
+   Parameter mul_0_l : forall n : t, eq (mul zero n) zero.
+   Parameter mul_succ_l :
+     forall n m : t, eq (mul (succ n) m) (add (mul n m) m).
+   Parameter max : t -> t -> t.
+   Parameter max_l : forall x y : t, le y x -> eq (max x y) x.
+   Parameter max_r : forall x y : t, le x y -> eq (max x y) y.
+   Parameter min : t -> t -> t.
+   Parameter min_l : forall x y : t, le x y -> eq (min x y) x.
+   Parameter min_r : forall x y : t, le y x -> eq (min x y) y.
+   Parameter compare : t -> t -> comparison.
+   Parameter compare_spec :
+     forall x y : t, CompareSpec (eq x y) (lt x y) (lt y x) (compare x y).
+ End +
+ + +
+ +

Axiomatization of a domain with zero, succ, pred and a bi-directional induction principle.

+ +
+ + We require P (S n) = n but not the other way around, since this domain + is meant to be either N or Z. In fact it can be a few other things, for instance Z/nZ (See file NZDomain for a study of that). +
+ + The Typ module type in Equalities only has a parameter t : Type.
@@ -87,6 +177,15 @@

Library Coq.Numbers.NatInt.NZAxioms

Module Type ZeroSuccPred' (T:Typ) :=
 ZeroSuccPred T <+ ZeroSuccPredNotation T.
+
+
+ +
+The Eq' module type in Equalities is a Type t with a binary predicate + eq denoted ==. The negation of == is denoted ~=. +
+
+
Module Type IsNZDomain (Import E:Eq')(Import NZ:ZeroSuccPred' E).
#[global]
@@ -103,12 +202,12 @@

Library Coq.Numbers.NatInt.NZAxioms

-Axiomatization of some more constants +

Axiomatization of some more constants

- Simply denoting "1" for (S 0) and so on works ok when implementing - by nat, but leaves some (N.succ N0) when implementing by N. + Simply denoting "1" for (S 0) and so on works ok when implementing + by nat, but leaves some (N.succ N0) when implementing by N.
@@ -144,7 +243,24 @@

Library Coq.Numbers.NatInt.NZAxioms

-Axiomatization of basic operations : + - * +At this point, a module implementing NZDomainSig has : +
    +
  • two unary operators pred and succ such that + forall n, pred (succ n) = n. + +
    • +
  • a bidirectional induction principle + +
    • +
  • three constants 0, 1 = S 0, 2 = S 1 + +
    • +
+ +
+ +

Axiomatization of basic operations : + - *

+
@@ -199,11 +315,14 @@

Library Coq.Numbers.NatInt.NZAxioms

-Axiomatization of order +

Axiomatization of order

+ +
+ + The module type HasLt (resp. HasLe) is just a type equipped with + a relation lt (resp. le) in Prop.
- -
Module Type NZOrd := NZDomainSig <+ HasLt <+ HasLe.
Module Type NZOrd' := NZDomainSig' <+ HasLt <+ HasLe <+
                      LtNotation <+ LeNotation <+ LtLeNotation.
@@ -235,6 +354,10 @@

Library Coq.Numbers.NatInt.NZAxioms

Everything together : +
+ + The HasMinMax module type is a type with min and max operators + consistent with le.
@@ -249,6 +372,12 @@

Library Coq.Numbers.NatInt.NZAxioms

Same, plus a comparison function. +
+ + The HasCompare module type requires a comparison function in type + comparison consistent with eq and lt. In particular, this imposes + that the order is decidable. +
diff --git a/master/stdlib/Coq.Numbers.NatInt.NZDiv.html b/master/stdlib/Coq.Numbers.NatInt.NZDiv.html index 9dd0c9dae8..2b32c28966 100644 --- a/master/stdlib/Coq.Numbers.NatInt.NZDiv.html +++ b/master/stdlib/Coq.Numbers.NatInt.NZDiv.html @@ -190,7 +190,7 @@

Library Coq.Numbers.NatInt.NZDiv

-

Basic values of divisions and modulo.

+

Basic values of divisions and modulo.

@@ -223,7 +223,7 @@

Library Coq.Numbers.NatInt.NZDiv

-

Order results about mod and div

+

Order results about mod and div

@@ -335,7 +335,7 @@

Library Coq.Numbers.NatInt.NZDiv

-

Relations between usual operations and mod and div

+

Relations between usual operations and mod and div

diff --git a/master/stdlib/Coq.Numbers.NatInt.NZDomain.html b/master/stdlib/Coq.Numbers.NatInt.NZDomain.html index fe416804f8..61ffba6c77 100644 --- a/master/stdlib/Coq.Numbers.NatInt.NZDomain.html +++ b/master/stdlib/Coq.Numbers.NatInt.NZDomain.html @@ -76,7 +76,7 @@

Library Coq.Numbers.NatInt.NZDomain

-

Relationship between points thanks to succ and pred.

+

Relationship between points thanks to succ and pred.

@@ -127,7 +127,7 @@

Library Coq.Numbers.NatInt.NZDomain

-

Study of initial point w.r.t. succ (if any).

+

Study of initial point w.r.t. succ (if any).

@@ -251,7 +251,7 @@

Library Coq.Numbers.NatInt.NZDomain

-

An alternative induction principle using S and P.

+

An alternative induction principle using S and P.

diff --git a/master/stdlib/Coq.Numbers.NatInt.NZLog.html b/master/stdlib/Coq.Numbers.NatInt.NZLog.html index de0483be8f..665e354bad 100644 --- a/master/stdlib/Coq.Numbers.NatInt.NZLog.html +++ b/master/stdlib/Coq.Numbers.NatInt.NZLog.html @@ -418,7 +418,7 @@

Library Coq.Numbers.NatInt.NZLog

-

log2_up : a binary logarithm that rounds up instead of down

+

log2_up : a binary logarithm that rounds up instead of down

diff --git a/master/stdlib/Coq.Numbers.NatInt.NZSqrt.html b/master/stdlib/Coq.Numbers.NatInt.NZSqrt.html index 152e2faeb9..4d72f14edb 100644 --- a/master/stdlib/Coq.Numbers.NatInt.NZSqrt.html +++ b/master/stdlib/Coq.Numbers.NatInt.NZSqrt.html @@ -348,7 +348,7 @@

Library Coq.Numbers.NatInt.NZSqrt

-

sqrt_up : a square root that rounds up instead of down

+

sqrt_up : a square root that rounds up instead of down

diff --git a/master/stdlib/Coq.Numbers.Natural.Abstract.NDiv.html b/master/stdlib/Coq.Numbers.Natural.Abstract.NDiv.html index 55e0ce582c..febfd7de97 100644 --- a/master/stdlib/Coq.Numbers.Natural.Abstract.NDiv.html +++ b/master/stdlib/Coq.Numbers.Natural.Abstract.NDiv.html @@ -158,7 +158,7 @@

Library Coq.Numbers.Natural.Abstract.NDiv

-

Basic values of divisions and modulo.

+

Basic values of divisions and modulo.

@@ -191,7 +191,7 @@

Library Coq.Numbers.Natural.Abstract.NDiv

-

Order results about mod and div

+

Order results about mod and div

@@ -289,7 +289,7 @@

Library Coq.Numbers.Natural.Abstract.NDiv

-

Relations between usual operations and mod and div

+

Relations between usual operations and mod and div

diff --git a/master/stdlib/Coq.Numbers.Natural.Abstract.NLcm.html b/master/stdlib/Coq.Numbers.Natural.Abstract.NLcm.html index 0329666b29..74c5ad4539 100644 --- a/master/stdlib/Coq.Numbers.Natural.Abstract.NLcm.html +++ b/master/stdlib/Coq.Numbers.Natural.Abstract.NLcm.html @@ -52,7 +52,7 @@

Library Coq.Numbers.Natural.Abstract.NLcm

-

Least Common Multiple

+

Least Common Multiple

diff --git a/master/stdlib/Coq.Numbers.Natural.Abstract.NMaxMin.html b/master/stdlib/Coq.Numbers.Natural.Abstract.NMaxMin.html index 7fca2985c1..012a78a9b2 100644 --- a/master/stdlib/Coq.Numbers.Natural.Abstract.NMaxMin.html +++ b/master/stdlib/Coq.Numbers.Natural.Abstract.NMaxMin.html @@ -52,7 +52,7 @@

Library Coq.Numbers.Natural.Abstract.NMaxMin

-

Properties of minimum and maximum specific to natural numbers

+

Properties of minimum and maximum specific to natural numbers

diff --git a/master/stdlib/Coq.Numbers.Natural.Binary.NBinary.html b/master/stdlib/Coq.Numbers.Natural.Binary.NBinary.html index 0416a7396d..7403e72e87 100644 --- a/master/stdlib/Coq.Numbers.Natural.Binary.NBinary.html +++ b/master/stdlib/Coq.Numbers.Natural.Binary.NBinary.html @@ -57,7 +57,7 @@

Library Coq.Numbers.Natural.Binary.NBinary

-

BinNat.N already implements NAxiomSig

+

BinNat.N already implements NAxiomSig

diff --git a/master/stdlib/Coq.PArith.BinPos.html b/master/stdlib/Coq.PArith.BinPos.html index 5a3390633c..471408f113 100644 --- a/master/stdlib/Coq.PArith.BinPos.html +++ b/master/stdlib/Coq.PArith.BinPos.html @@ -57,7 +57,7 @@

Library Coq.PArith.BinPos

-

Binary positive numbers, operations and properties

+

Binary positive numbers, operations and properties

@@ -91,7 +91,7 @@

Library Coq.PArith.BinPos

-

Definitions of operations, now in a separate file

+

Definitions of operations, now in a separate file

@@ -113,7 +113,7 @@

Library Coq.PArith.BinPos

-

Logical Predicates

+

Logical Predicates

@@ -145,11 +145,11 @@

Library Coq.PArith.BinPos

-

Properties of operations over positive numbers

+

Properties of operations over positive numbers

-

Decidability of equality on binary positive numbers

+

Decidability of equality on binary positive numbers

@@ -161,11 +161,11 @@

Library Coq.PArith.BinPos

-

Properties of successor on binary positive numbers

+

Properties of successor on binary positive numbers

-

Specification of xI in term of succ and xO

+

Specification of xI in term of succ and xO

@@ -180,7 +180,7 @@

Library Coq.PArith.BinPos

-

Successor and double

+

Successor and double

@@ -204,7 +204,7 @@

Library Coq.PArith.BinPos

-

Successor and predecessor

+

Successor and predecessor

@@ -225,7 +225,7 @@

Library Coq.PArith.BinPos

-

Injectivity of successor

+

Injectivity of successor

@@ -237,7 +237,7 @@

Library Coq.PArith.BinPos

-

Predecessor to N

+

Predecessor to N

@@ -249,11 +249,11 @@

Library Coq.PArith.BinPos

-

Properties of addition on binary positive numbers

+

Properties of addition on binary positive numbers

-

Specification of succ in term of add

+

Specification of succ in term of add

@@ -268,7 +268,7 @@

Library Coq.PArith.BinPos

-

Specification of add_carry

+

Specification of add_carry

@@ -280,7 +280,7 @@

Library Coq.PArith.BinPos

-

Commutativity

+

Commutativity

@@ -292,7 +292,7 @@

Library Coq.PArith.BinPos

-

Permutation of add and succ

+

Permutation of add and succ

@@ -307,7 +307,7 @@

Library Coq.PArith.BinPos

-

No neutral elements for addition

+

No neutral elements for addition

@@ -317,7 +317,7 @@

Library Coq.PArith.BinPos

-

Simplification

+

Simplification

@@ -350,7 +350,7 @@

Library Coq.PArith.BinPos

-

Addition is associative

+

Addition is associative

@@ -362,7 +362,7 @@

Library Coq.PArith.BinPos

-

Commutation of addition and double

+

Commutation of addition and double

@@ -382,7 +382,7 @@

Library Coq.PArith.BinPos

-

Miscellaneous

+

Miscellaneous

@@ -394,7 +394,7 @@

Library Coq.PArith.BinPos

-

Peano induction and recursion on binary positive positive numbers

+

Peano induction and recursion on binary positive positive numbers

@@ -512,11 +512,11 @@

Library Coq.PArith.BinPos

-

Properties of multiplication on binary positive numbers

+

Properties of multiplication on binary positive numbers

-

One is neutral for multiplication

+

One is neutral for multiplication

@@ -531,7 +531,7 @@

Library Coq.PArith.BinPos

-

Right reduction properties for multiplication

+

Right reduction properties for multiplication

@@ -546,7 +546,7 @@

Library Coq.PArith.BinPos

-

Commutativity of multiplication

+

Commutativity of multiplication

@@ -558,7 +558,7 @@

Library Coq.PArith.BinPos

-

Distributivity of multiplication over addition

+

Distributivity of multiplication over addition

@@ -575,7 +575,7 @@

Library Coq.PArith.BinPos

-

Associativity of multiplication

+

Associativity of multiplication

@@ -587,7 +587,7 @@

Library Coq.PArith.BinPos

-

Successor and multiplication

+

Successor and multiplication

@@ -602,7 +602,7 @@

Library Coq.PArith.BinPos

-

Parity properties of multiplication

+

Parity properties of multiplication

@@ -617,7 +617,7 @@

Library Coq.PArith.BinPos

-

Simplification properties of multiplication

+

Simplification properties of multiplication

@@ -638,7 +638,7 @@

Library Coq.PArith.BinPos

-

Inversion of multiplication

+

Inversion of multiplication

@@ -656,7 +656,7 @@

Library Coq.PArith.BinPos

-

Square

+

Square

@@ -671,7 +671,7 @@

Library Coq.PArith.BinPos

-

Properties of iter

+

Properties of iter

@@ -717,7 +717,7 @@

Library Coq.PArith.BinPos

-

Properties of power

+

Properties of power

@@ -732,7 +732,7 @@

Library Coq.PArith.BinPos

-

Properties of square

+

Properties of square

@@ -744,7 +744,7 @@

Library Coq.PArith.BinPos

-

Properties of sub_mask

+

Properties of sub_mask

@@ -791,7 +791,7 @@

Library Coq.PArith.BinPos

-

Properties of boolean comparisons

+

Properties of boolean comparisons

@@ -820,7 +820,7 @@

Library Coq.PArith.BinPos

-

Properties of comparison on binary positive numbers

+

Properties of comparison on binary positive numbers

@@ -1014,7 +1014,7 @@

Library Coq.PArith.BinPos

-

Facts about gt and ge

+

Facts about gt and ge

@@ -1047,7 +1047,7 @@

Library Coq.PArith.BinPos

-

Comparison and the successor

+

Comparison and the successor

@@ -1073,7 +1073,7 @@

Library Coq.PArith.BinPos

-

1 is the least positive number

+

1 is the least positive number

@@ -1091,7 +1091,7 @@

Library Coq.PArith.BinPos

-

Properties of the order

+

Properties of the order

@@ -1164,7 +1164,7 @@

Library Coq.PArith.BinPos

-

Comparison and addition

+

Comparison and addition

@@ -1179,7 +1179,7 @@

Library Coq.PArith.BinPos

-

Order and addition

+

Order and addition

@@ -1209,7 +1209,7 @@

Library Coq.PArith.BinPos

-

Comparison and multiplication

+

Comparison and multiplication

@@ -1224,7 +1224,7 @@

Library Coq.PArith.BinPos

-

Order and multiplication

+

Order and multiplication

@@ -1260,7 +1260,7 @@

Library Coq.PArith.BinPos

-

Properties of subtraction on binary positive numbers

+

Properties of subtraction on binary positive numbers

@@ -1278,7 +1278,7 @@

Library Coq.PArith.BinPos

-

Properties of subtraction without underflow

+

Properties of subtraction without underflow

@@ -1376,7 +1376,7 @@

Library Coq.PArith.BinPos

-

Results concerning size and size_nat

+

Results concerning size and size_nat

@@ -1394,7 +1394,7 @@

Library Coq.PArith.BinPos

-

Properties of min and max

+

Properties of min and max

@@ -1490,7 +1490,7 @@

Library Coq.PArith.BinPos

-

Results concerning iter_op

+

Results concerning iter_op

@@ -1505,7 +1505,7 @@

Library Coq.PArith.BinPos

-

Results about of_nat and of_succ_nat

+

Results about of_nat and of_succ_nat

@@ -1523,7 +1523,7 @@

Library Coq.PArith.BinPos

-

Correctness proofs for the square root function

+

Correctness proofs for the square root function

@@ -1549,7 +1549,7 @@

Library Coq.PArith.BinPos

-

Correctness proofs for the gcd function

+

Correctness proofs for the gcd function

diff --git a/master/stdlib/Coq.PArith.BinPosDef.html b/master/stdlib/Coq.PArith.BinPosDef.html index cf1b020e9f..e264c26cfe 100644 --- a/master/stdlib/Coq.PArith.BinPosDef.html +++ b/master/stdlib/Coq.PArith.BinPosDef.html @@ -49,7 +49,7 @@

Library Coq.PArith.BinPosDef

-

Binary positive numbers, operations

+

Binary positive numbers, operations

@@ -98,11 +98,11 @@

Library Coq.PArith.BinPosDef

-

Operations over positive numbers

+

Operations over positive numbers

-

Successor

+

Successor

@@ -119,7 +119,7 @@

Library Coq.PArith.BinPosDef

-

Addition

+

Addition

@@ -158,7 +158,7 @@

Library Coq.PArith.BinPosDef

-

Operation x -> 2*x-1

+

Operation x -> 2*x-1

@@ -175,7 +175,7 @@

Library Coq.PArith.BinPosDef

-

Predecessor

+

Predecessor

@@ -192,7 +192,7 @@

Library Coq.PArith.BinPosDef

-

The predecessor of a positive number can be seen as a N

+

The predecessor of a positive number can be seen as a N

@@ -209,7 +209,7 @@

Library Coq.PArith.BinPosDef

-

An auxiliary type for subtraction

+

An auxiliary type for subtraction

@@ -224,7 +224,7 @@

Library Coq.PArith.BinPosDef

-

Operation x -> 2*x+1

+

Operation x -> 2*x+1

@@ -241,7 +241,7 @@

Library Coq.PArith.BinPosDef

-

Operation x -> 2*x

+

Operation x -> 2*x

@@ -258,7 +258,7 @@

Library Coq.PArith.BinPosDef

-

Operation x -> 2*x-2

+

Operation x -> 2*x-2

@@ -275,7 +275,7 @@

Library Coq.PArith.BinPosDef

-

Predecessor with mask

+

Predecessor with mask

@@ -293,7 +293,7 @@

Library Coq.PArith.BinPosDef

-

Subtraction, result as a mask

+

Subtraction, result as a mask

@@ -326,7 +326,7 @@

Library Coq.PArith.BinPosDef

-

Subtraction, result as a positive, returning 1 if x<=y

+

Subtraction, result as a positive, returning 1 if x<=y

@@ -345,7 +345,7 @@

Library Coq.PArith.BinPosDef

-

Multiplication

+

Multiplication

@@ -365,7 +365,7 @@

Library Coq.PArith.BinPosDef

-

Iteration over a positive number

+

Iteration over a positive number

@@ -382,7 +382,7 @@

Library Coq.PArith.BinPosDef

-

Power

+

Power

@@ -397,7 +397,7 @@

Library Coq.PArith.BinPosDef

-

Square

+

Square

@@ -414,7 +414,7 @@

Library Coq.PArith.BinPosDef

-

Division by 2 rounded below but for 1

+

Division by 2 rounded below but for 1

@@ -447,7 +447,7 @@

Library Coq.PArith.BinPosDef

-

Number of digits in a positive number

+

Number of digits in a positive number

@@ -480,7 +480,7 @@

Library Coq.PArith.BinPosDef

-

Comparison on binary positive numbers

+

Comparison on binary positive numbers

@@ -523,7 +523,7 @@

Library Coq.PArith.BinPosDef

-

Boolean equality and comparisons

+

Boolean equality and comparisons

@@ -554,7 +554,7 @@

Library Coq.PArith.BinPosDef

-

A Square Root function for positive numbers

+

A Square Root function for positive numbers

@@ -600,7 +600,7 @@

Library Coq.PArith.BinPosDef

-

Greatest Common Divisor

+

Greatest Common Divisor

@@ -875,7 +875,7 @@

Library Coq.PArith.BinPosDef

-

From binary positive numbers to Peano natural numbers

+

From binary positive numbers to Peano natural numbers

@@ -895,7 +895,7 @@

Library Coq.PArith.BinPosDef

-

From Peano natural numbers to binary positive numbers

+

From Peano natural numbers to binary positive numbers

@@ -924,7 +924,7 @@

Library Coq.PArith.BinPosDef

-

Conversion with a decimal representation for printing/parsing

+

Conversion with a decimal representation for printing/parsing

diff --git a/master/stdlib/Coq.PArith.POrderedType.html b/master/stdlib/Coq.PArith.POrderedType.html index 9e933f9c4f..6a0fcebfa6 100644 --- a/master/stdlib/Coq.PArith.POrderedType.html +++ b/master/stdlib/Coq.PArith.POrderedType.html @@ -55,7 +55,7 @@

Library Coq.PArith.POrderedType

-

DecidableType structure for positive numbers

+

DecidableType structure for positive numbers

@@ -71,7 +71,7 @@

Library Coq.PArith.POrderedType

interfaces, such as DecidableType or EqualityType.
-

OrderedType structure for positive numbers

+

OrderedType structure for positive numbers

@@ -87,7 +87,7 @@

Library Coq.PArith.POrderedType

and a OrderedType (and also as a DecidableType).
-

An order tactic for positive numbers

+

An order tactic for positive numbers

diff --git a/master/stdlib/Coq.Program.Combinators.html b/master/stdlib/Coq.Program.Combinators.html index 8699f3a0a7..7c0b465603 100644 --- a/master/stdlib/Coq.Program.Combinators.html +++ b/master/stdlib/Coq.Program.Combinators.html @@ -47,7 +47,7 @@

Library Coq.Program.Combinators

-

Proofs about standard combinators, exports functional extensionality.

+

Proofs about standard combinators, exports functional extensionality.

diff --git a/master/stdlib/Coq.QArith.QArith_base.html b/master/stdlib/Coq.QArith.QArith_base.html index 39a22e9ae2..d0b4dc1c42 100644 --- a/master/stdlib/Coq.QArith.QArith_base.html +++ b/master/stdlib/Coq.QArith.QArith_base.html @@ -55,7 +55,7 @@

Library Coq.QArith.QArith_base

-

Definition of Q and basic properties

+

Definition of Q and basic properties

@@ -198,7 +198,7 @@

Library Coq.QArith.QArith_base

-

Properties of equality.

+

Properties of equality.

@@ -290,7 +290,7 @@

Library Coq.QArith.QArith_base

-

Addition, multiplication and opposite

+

Addition, multiplication and opposite

@@ -557,7 +557,7 @@

Library Coq.QArith.QArith_base

-

Setoid compatibility results

+

Setoid compatibility results

@@ -631,7 +631,7 @@

Library Coq.QArith.QArith_base

-

Properties of Qadd

+

Properties of Qadd

@@ -671,7 +671,7 @@

Library Coq.QArith.QArith_base

-

Properties of Qopp

+

Properties of Qopp

@@ -702,7 +702,7 @@

Library Coq.QArith.QArith_base

-

Properties of Qmult

+

Properties of Qmult

@@ -784,7 +784,7 @@

Library Coq.QArith.QArith_base

-

inject_Z is a ring homomorphism:

+

inject_Z is a ring homomorphism:

@@ -802,7 +802,7 @@

Library Coq.QArith.QArith_base

-

Inverse and division.

+

Inverse and division.

@@ -854,11 +854,11 @@

Library Coq.QArith.QArith_base

-

Reduction and construction of Q

+

Reduction and construction of Q

-

Removal/introduction of common factor in both numerator and denominator.

+

Removal/introduction of common factor in both numerator and denominator.

@@ -903,7 +903,7 @@

Library Coq.QArith.QArith_base

-

Construction of a new rational by multiplication with an integer or pure fraction

+

Construction of a new rational by multiplication with an integer or pure fraction

@@ -929,7 +929,7 @@

Library Coq.QArith.QArith_base

-

Properties of order upon Q.

+

Properties of order upon Q.

@@ -1043,7 +1043,7 @@

Library Coq.QArith.QArith_base

-

Some decidability results about orders.

+

Some decidability results about orders.

@@ -1061,7 +1061,7 @@

Library Coq.QArith.QArith_base

-

Compatibility of addition with order

+

Compatibility of addition with order

@@ -1114,7 +1114,7 @@

Library Coq.QArith.QArith_base

-

Compatibility of multiplication with order.

+

Compatibility of multiplication with order.

@@ -1173,7 +1173,7 @@

Library Coq.QArith.QArith_base

-

Compatibility of inversion and division with order

+

Compatibility of inversion and division with order

@@ -1224,7 +1224,7 @@

Library Coq.QArith.QArith_base

-

Rational to the n-th power

+

Rational to the n-th power

diff --git a/master/stdlib/Coq.QArith.QOrderedType.html b/master/stdlib/Coq.QArith.QOrderedType.html index 6ba970586d..c7bd583b58 100644 --- a/master/stdlib/Coq.QArith.QOrderedType.html +++ b/master/stdlib/Coq.QArith.QOrderedType.html @@ -55,7 +55,7 @@

Library Coq.QArith.QOrderedType

-

DecidableType structure for rational numbers

+

DecidableType structure for rational numbers

@@ -93,7 +93,7 @@

Library Coq.QArith.QOrderedType

interfaces, such as DecidableType or EqualityType.
-

OrderedType structure for rational numbers

+

OrderedType structure for rational numbers

@@ -124,7 +124,7 @@

Library Coq.QArith.QOrderedType

-

An order tactic for Q numbers

+

An order tactic for Q numbers

diff --git a/master/stdlib/Coq.QArith.Qcabs.html b/master/stdlib/Coq.QArith.Qcabs.html index a628df7e2e..d33a1ac2b2 100644 --- a/master/stdlib/Coq.QArith.Qcabs.html +++ b/master/stdlib/Coq.QArith.Qcabs.html @@ -49,7 +49,7 @@

Library Coq.QArith.Qcabs

-

An absolute value for normalized rational numbers.

+

An absolute value for normalized rational numbers.

diff --git a/master/stdlib/Coq.QArith.Qfield.html b/master/stdlib/Coq.QArith.Qfield.html index ff4cf5f71c..c8ab424892 100644 --- a/master/stdlib/Coq.QArith.Qfield.html +++ b/master/stdlib/Coq.QArith.Qfield.html @@ -54,7 +54,7 @@

Library Coq.QArith.Qfield

-

field and ring tactics for rational numbers

+

field and ring tactics for rational numbers

diff --git a/master/stdlib/Coq.QArith.Qminmax.html b/master/stdlib/Coq.QArith.Qminmax.html index 773d728238..44a896ee15 100644 --- a/master/stdlib/Coq.QArith.Qminmax.html +++ b/master/stdlib/Coq.QArith.Qminmax.html @@ -52,7 +52,7 @@

Library Coq.QArith.Qminmax

-

Maximum and Minimum of two rational numbers

+

Maximum and Minimum of two rational numbers

@@ -101,7 +101,7 @@

Library Coq.QArith.Qminmax

-

Properties specific to the Q domain

+

Properties specific to the Q domain

diff --git a/master/stdlib/Coq.QArith.Qpower.html b/master/stdlib/Coq.QArith.Qpower.html index 60d7d3c384..ebfa7db5a9 100644 --- a/master/stdlib/Coq.QArith.Qpower.html +++ b/master/stdlib/Coq.QArith.Qpower.html @@ -52,11 +52,11 @@

Library Coq.QArith.Qpower

-

Properties of Qpower_positive

+

Properties of Qpower_positive

-

Values of Qpower_positive for specific arguments

+

Values of Qpower_positive for specific arguments

@@ -71,7 +71,7 @@

Library Coq.QArith.Qpower

-

Relation of Qpower_positive to zero

+

Relation of Qpower_positive to zero

@@ -86,7 +86,7 @@

Library Coq.QArith.Qpower

-

Qpower_positive and multiplication, exponent subtraction

+

Qpower_positive and multiplication, exponent subtraction

@@ -101,7 +101,7 @@

Library Coq.QArith.Qpower

-

Qpower_positive and inversion, division, exponent subtraction

+

Qpower_positive and inversion, division, exponent subtraction

@@ -118,7 +118,7 @@

Library Coq.QArith.Qpower

-

Qpower and exponent multiplication

+

Qpower and exponent multiplication

@@ -131,7 +131,7 @@

Library Coq.QArith.Qpower

-

Qpower_positive decomposition

+

Qpower_positive decomposition

@@ -147,11 +147,11 @@

Library Coq.QArith.Qpower

-

Properties of Qpower

+

Properties of Qpower

-

Values of Qpower for specific arguments

+

Values of Qpower for specific arguments

@@ -174,7 +174,7 @@

Library Coq.QArith.Qpower

-

Relation of Qpower to zero

+

Relation of Qpower to zero

@@ -196,7 +196,7 @@

Library Coq.QArith.Qpower

-

Relation of Qpower to 1

+

Relation of Qpower to 1

@@ -221,7 +221,7 @@

Library Coq.QArith.Qpower

-

Qpower and multiplication, exponent addition

+

Qpower and multiplication, exponent addition

@@ -239,7 +239,7 @@

Library Coq.QArith.Qpower

-

Qpower and inversion, division, exponent subtraction

+

Qpower and inversion, division, exponent subtraction

@@ -272,7 +272,7 @@

Library Coq.QArith.Qpower

-

Qpower and exponent multiplication

+

Qpower and exponent multiplication

@@ -284,7 +284,7 @@

Library Coq.QArith.Qpower

-

Qpower decomposition

+

Qpower decomposition

@@ -305,7 +305,7 @@

Library Coq.QArith.Qpower

-

Compatibility of Qpower with relational operators

+

Compatibility of Qpower with relational operators

@@ -330,7 +330,7 @@

Library Coq.QArith.Qpower

-

Qpower and inject_Z

+

Qpower and inject_Z

@@ -342,7 +342,7 @@

Library Coq.QArith.Qpower

-

Square

+

Square

@@ -354,7 +354,7 @@

Library Coq.QArith.Qpower

-

Power of 2 positive upper bound

+

Power of 2 positive upper bound

diff --git a/master/stdlib/Coq.Reals.AltSeries.html b/master/stdlib/Coq.Reals.AltSeries.html index bb4c9972a3..3d2cd9eca8 100644 --- a/master/stdlib/Coq.Reals.AltSeries.html +++ b/master/stdlib/Coq.Reals.AltSeries.html @@ -58,7 +58,7 @@

Library Coq.Reals.AltSeries

-

Formalization of alternated series

+

Formalization of alternated series

@@ -121,7 +121,7 @@

Library Coq.Reals.AltSeries

-

Convergence of alternated series

+

Convergence of alternated series

@@ -143,7 +143,7 @@

Library Coq.Reals.AltSeries

-

Application : construction of PI

+

Application : construction of PI

diff --git a/master/stdlib/Coq.Reals.Cauchy.ConstructiveCauchyReals.html b/master/stdlib/Coq.Reals.Cauchy.ConstructiveCauchyReals.html index d6297786e3..30408636e3 100644 --- a/master/stdlib/Coq.Reals.Cauchy.ConstructiveCauchyReals.html +++ b/master/stdlib/Coq.Reals.Cauchy.ConstructiveCauchyReals.html @@ -408,7 +408,7 @@

Library Coq.Reals.Cauchy.ConstructiveCauchyReals

-

Algebraic operations

+

Algebraic operations

diff --git a/master/stdlib/Coq.Reals.Cauchy.ConstructiveCauchyRealsMult.html b/master/stdlib/Coq.Reals.Cauchy.ConstructiveCauchyRealsMult.html index 83d62a40aa..6504f3e2f0 100644 --- a/master/stdlib/Coq.Reals.Cauchy.ConstructiveCauchyRealsMult.html +++ b/master/stdlib/Coq.Reals.Cauchy.ConstructiveCauchyRealsMult.html @@ -296,7 +296,7 @@

Library Coq.Reals.Cauchy.ConstructiveCauchyRealsMult

-

Field

+

Field

diff --git a/master/stdlib/Coq.Reals.Cauchy.QExtra.html b/master/stdlib/Coq.Reals.Cauchy.QExtra.html index 4670a3cbe8..5f671b61f0 100644 --- a/master/stdlib/Coq.Reals.Cauchy.QExtra.html +++ b/master/stdlib/Coq.Reals.Cauchy.QExtra.html @@ -55,7 +55,7 @@

Library Coq.Reals.Cauchy.QExtra

-

Power of 2 open and closed upper and lower bounds for q : Q

+

Power of 2 open and closed upper and lower bounds for q : Q

@@ -96,7 +96,7 @@

Library Coq.Reals.Cauchy.QExtra

-

Power of two closed upper bound q <= 2^z

+

Power of two closed upper bound q <= 2^z

@@ -125,7 +125,7 @@

Library Coq.Reals.Cauchy.QExtra

-

Power of two open upper bound q < 2^z and Qabs q < 2^z

+

Power of two open upper bound q < 2^z and Qabs q < 2^z

@@ -171,7 +171,7 @@

Library Coq.Reals.Cauchy.QExtra

-

Power of 2 open lower bounds for 2^z < q and 2^z < Qabs q

+

Power of 2 open lower bounds for 2^z < q and 2^z < Qabs q

@@ -202,7 +202,7 @@

Library Coq.Reals.Cauchy.QExtra

-

Existential formulations of power of 2 lower and upper bounds

+

Existential formulations of power of 2 lower and upper bounds

diff --git a/master/stdlib/Coq.Reals.ClassicalDedekindReals.html b/master/stdlib/Coq.Reals.ClassicalDedekindReals.html index cd40eb5c78..ed27003be9 100644 --- a/master/stdlib/Coq.Reals.ClassicalDedekindReals.html +++ b/master/stdlib/Coq.Reals.ClassicalDedekindReals.html @@ -63,7 +63,7 @@

Library Coq.Reals.ClassicalDedekindReals

-

Q Auxiliary Lemmas

+

Q Auxiliary Lemmas

@@ -86,11 +86,11 @@

Library Coq.Reals.ClassicalDedekindReals

-

Dedekind cuts

+

Dedekind cuts

-

Definition

+

Definition

@@ -132,7 +132,7 @@

Library Coq.Reals.ClassicalDedekindReals

-

Properties

+

Properties

@@ -164,11 +164,11 @@

Library Coq.Reals.ClassicalDedekindReals

-

Classical Dedekind reals

+

Classical Dedekind reals

-

Definition

+

Definition

@@ -181,7 +181,7 @@

Library Coq.Reals.ClassicalDedekindReals

-

Induction principle

+

Induction principle

@@ -195,11 +195,11 @@

Library Coq.Reals.ClassicalDedekindReals

-

Conversion to and from constructive Cauchy real CReal

+

Conversion to and from constructive Cauchy real CReal

-

Conversion from CReal to DReal

+

Conversion from CReal to DReal

@@ -218,7 +218,7 @@

Library Coq.Reals.ClassicalDedekindReals

-

Conversion from DReal to CReal

+

Conversion from DReal to CReal

@@ -269,7 +269,7 @@

Library Coq.Reals.ClassicalDedekindReals

-

Order for DReal

+

Order for DReal

diff --git a/master/stdlib/Coq.Reals.RIneq.html b/master/stdlib/Coq.Reals.RIneq.html index 7b72eb6cee..6836a9c09f 100644 --- a/master/stdlib/Coq.Reals.RIneq.html +++ b/master/stdlib/Coq.Reals.RIneq.html @@ -49,7 +49,7 @@

Library Coq.Reals.RIneq

-

Basic lemmas for the classical real numbers

+

Basic lemmas for the classical real numbers

@@ -137,7 +137,7 @@

Library Coq.Reals.RIneq

-

Relation between orders and equality

+

Relation between orders and equality

@@ -227,7 +227,7 @@

Library Coq.Reals.RIneq

-

Strong decidable equality

+

Strong decidable equality

@@ -239,11 +239,11 @@

Library Coq.Reals.RIneq

-

Relating <, >, <= and >=

+

Relating <, >, <= and >=

-

Relating strict and large orders

+

Relating strict and large orders

@@ -348,7 +348,7 @@

Library Coq.Reals.RIneq

-

Asymmetry

+

Asymmetry

@@ -369,7 +369,7 @@

Library Coq.Reals.RIneq

-

Antisymmetry

+

Antisymmetry

@@ -398,7 +398,7 @@

Library Coq.Reals.RIneq

-

Compatibility with equality

+

Compatibility with equality

@@ -415,7 +415,7 @@

Library Coq.Reals.RIneq

-

Transitivity

+

Transitivity

@@ -458,7 +458,7 @@

Library Coq.Reals.RIneq

-

(Classical) decidability with sumbool types

+

(Classical) decidability with sumbool types

@@ -509,7 +509,7 @@

Library Coq.Reals.RIneq

-

Same theorems with disjunctions instead of sumbools

+

Same theorems with disjunctions instead of sumbools

@@ -563,7 +563,7 @@

Library Coq.Reals.RIneq

-

Addition

+

Addition

@@ -637,7 +637,7 @@

Library Coq.Reals.RIneq

-

Opposite

+

Opposite

@@ -679,7 +679,7 @@

Library Coq.Reals.RIneq

-

Multiplication

+

Multiplication

@@ -795,7 +795,7 @@

Library Coq.Reals.RIneq

-

Opposite and multiplication

+

Opposite and multiplication

@@ -823,7 +823,7 @@

Library Coq.Reals.RIneq

-

Subtraction

+

Subtraction

@@ -935,7 +935,7 @@

Library Coq.Reals.RIneq

-

Inverse

+

Inverse

@@ -989,7 +989,7 @@

Library Coq.Reals.RIneq

-

Square function

+

Square function

@@ -1011,11 +1011,11 @@

Library Coq.Reals.RIneq

-

Order and addition

+

Order and addition

-

Compatibility

+

Compatibility

@@ -1116,7 +1116,7 @@

Library Coq.Reals.RIneq

-

Cancellation

+

Cancellation

@@ -1168,7 +1168,7 @@

Library Coq.Reals.RIneq

-

Comparison of addition with left operand

+

Comparison of addition with left operand

@@ -1189,7 +1189,7 @@

Library Coq.Reals.RIneq

-

Sign of addition

+

Sign of addition

@@ -1222,11 +1222,11 @@

Library Coq.Reals.RIneq

-

Order and opposite

+

Order and opposite

-

Contravariant compatibility

+

Contravariant compatibility

@@ -1302,7 +1302,7 @@

Library Coq.Reals.RIneq

-

Cancellation

+

Cancellation

@@ -1327,7 +1327,7 @@

Library Coq.Reals.RIneq

-

Sign of opposite

+

Sign of opposite

@@ -1342,14 +1342,14 @@

Library Coq.Reals.RIneq

-

Order and multiplication

+

Order and multiplication

Remark: Rmult_lt_compat_l is in Raxioms.v
-

Covariant compatibility

+

Covariant compatibility

@@ -1420,7 +1420,7 @@

Library Coq.Reals.RIneq

-

Contravariant compatibility

+

Contravariant compatibility

@@ -1445,7 +1445,7 @@

Library Coq.Reals.RIneq

-

Sign of multiplication

+

Sign of multiplication

@@ -1480,7 +1480,7 @@

Library Coq.Reals.RIneq

-

Order and square function

+

Order and square function

@@ -1501,7 +1501,7 @@

Library Coq.Reals.RIneq

-

Zero is less than one

+

Zero is less than one

@@ -1518,7 +1518,7 @@

Library Coq.Reals.RIneq

-

Sign of inverse

+

Sign of inverse

@@ -1537,7 +1537,7 @@

Library Coq.Reals.RIneq

-

Cancellation in inequalities of products

+

Cancellation in inequalities of products

@@ -1564,7 +1564,7 @@

Library Coq.Reals.RIneq

-

Order and inverse

+

Order and inverse

@@ -1595,7 +1595,7 @@

Library Coq.Reals.RIneq

-

Sign of inverse

+

Sign of inverse

@@ -1610,7 +1610,7 @@

Library Coq.Reals.RIneq

-

Order and subtraction

+

Order and subtraction

@@ -1654,7 +1654,7 @@

Library Coq.Reals.RIneq

-

Division

+

Division

@@ -1754,7 +1754,7 @@

Library Coq.Reals.RIneq

-

Sign of division

+

Sign of division

@@ -1779,7 +1779,7 @@

Library Coq.Reals.RIneq

-

Miscellaneous

+

Miscellaneous

@@ -1833,7 +1833,7 @@

Library Coq.Reals.RIneq

-

Injection from nat to R

+

Injection from nat to R

@@ -1932,7 +1932,7 @@

Library Coq.Reals.RIneq

-

Injection from positive to R

+

Injection from positive to R

@@ -2013,7 +2013,7 @@

Library Coq.Reals.RIneq

-

Injection from Z to R

+

Injection from Z to R

@@ -2150,7 +2150,7 @@

Library Coq.Reals.RIneq

-

Definitions of new types

+

Definitions of new types

@@ -2177,7 +2177,7 @@

Library Coq.Reals.RIneq

-

A few common instances

+

A few common instances

@@ -2193,7 +2193,7 @@

Library Coq.Reals.RIneq

-

Compatibility

+

Compatibility

diff --git a/master/stdlib/Coq.Reals.ROrderedType.html b/master/stdlib/Coq.Reals.ROrderedType.html index 196d745eb7..0b85a30fd0 100644 --- a/master/stdlib/Coq.Reals.ROrderedType.html +++ b/master/stdlib/Coq.Reals.ROrderedType.html @@ -55,7 +55,7 @@

Library Coq.Reals.ROrderedType

-

DecidableType structure for real numbers

+

DecidableType structure for real numbers

@@ -90,7 +90,7 @@

Library Coq.Reals.ROrderedType

and a DecidableTypeOrig.
-

OrderedType structure for binary integers

+

OrderedType structure for binary integers

@@ -138,7 +138,7 @@

Library Coq.Reals.ROrderedType

and a OrderedType (and also as a DecidableType).
-

An order tactic for real numbers

+

An order tactic for real numbers

diff --git a/master/stdlib/Coq.Reals.R_Ifp.html b/master/stdlib/Coq.Reals.R_Ifp.html index 2731319b29..ed74860a31 100644 --- a/master/stdlib/Coq.Reals.R_Ifp.html +++ b/master/stdlib/Coq.Reals.R_Ifp.html @@ -62,7 +62,7 @@

Library Coq.Reals.R_Ifp

-

Fractional part

+

Fractional part

@@ -97,7 +97,7 @@

Library Coq.Reals.R_Ifp

-

Properties

+

Properties

diff --git a/master/stdlib/Coq.Reals.R_sqrt.html b/master/stdlib/Coq.Reals.R_sqrt.html index bebdd21647..c8cecf6e68 100644 --- a/master/stdlib/Coq.Reals.R_sqrt.html +++ b/master/stdlib/Coq.Reals.R_sqrt.html @@ -55,7 +55,7 @@

Library Coq.Reals.R_sqrt

-

Continuous extension of Rsqrt on R

+

Continuous extension of Rsqrt on R

@@ -196,7 +196,7 @@

Library Coq.Reals.R_sqrt

-

Resolution of a*X^2+b*X+c=0

+

Resolution of a*X^2+b*X+c=0

diff --git a/master/stdlib/Coq.Reals.Ranalysis1.html b/master/stdlib/Coq.Reals.Ranalysis1.html index 2ce7db4272..5f54b6197b 100644 --- a/master/stdlib/Coq.Reals.Ranalysis1.html +++ b/master/stdlib/Coq.Reals.Ranalysis1.html @@ -57,7 +57,7 @@

Library Coq.Reals.Ranalysis1

-

Basic operations on functions

+

Basic operations on functions

@@ -106,7 +106,7 @@

Library Coq.Reals.Ranalysis1

-

Variations of functions

+

Variations of functions

@@ -127,7 +127,7 @@

Library Coq.Reals.Ranalysis1

-

Definition of continuity as a limit

+

Definition of continuity as a limit

@@ -231,7 +231,7 @@

Library Coq.Reals.Ranalysis1

-

Derivative's definition using Landau's kernel

+

Derivative's definition using Landau's kernel

@@ -271,7 +271,7 @@

Library Coq.Reals.Ranalysis1

-

Class of differential functions

+

Class of differential functions

@@ -327,7 +327,7 @@

Library Coq.Reals.Ranalysis1

-

Equivalence of this definition with the one using limit concept

+

Equivalence of this definition with the one using limit concept

@@ -358,7 +358,7 @@

Library Coq.Reals.Ranalysis1

-

derivability -> continuity

+

derivability -> continuity

@@ -376,11 +376,11 @@

Library Coq.Reals.Ranalysis1

-

Main rules

+

Main rules

-

Rules for derivable_pt_lim (value of the derivative at a point)

+

Rules for derivable_pt_lim (value of the derivative at a point)

@@ -458,7 +458,7 @@

Library Coq.Reals.Ranalysis1

-

Rules for derivable_pt (derivability at a point)

+

Rules for derivable_pt (derivability at a point)

@@ -524,7 +524,7 @@

Library Coq.Reals.Ranalysis1

-

Rules for derivable (derivability on whole domain)

+

Rules for derivable (derivability on whole domain)

@@ -568,7 +568,7 @@

Library Coq.Reals.Ranalysis1

-

Rules for derive_pt (derivative function on whole domain)

+

Rules for derive_pt (derivative function on whole domain)

@@ -638,7 +638,7 @@

Library Coq.Reals.Ranalysis1

-

Definition and derivative of power function with natural number exponent

+

Definition and derivative of power function with natural number exponent

@@ -672,7 +672,7 @@

Library Coq.Reals.Ranalysis1

-

Irrelevance of derivability proof for derivative

+

Irrelevance of derivability proof for derivative

@@ -700,7 +700,7 @@

Library Coq.Reals.Ranalysis1

-

Local extremum's condition

+

Local extremum's condition

diff --git a/master/stdlib/Coq.Reals.Ranalysis5.html b/master/stdlib/Coq.Reals.Ranalysis5.html index c4ed0e6e77..0496cf032c 100644 --- a/master/stdlib/Coq.Reals.Ranalysis5.html +++ b/master/stdlib/Coq.Reals.Ranalysis5.html @@ -63,7 +63,7 @@

Library Coq.Reals.Ranalysis5

-

Preliminaries lemmas

+

Preliminaries lemmas

@@ -139,11 +139,11 @@

Library Coq.Reals.Ranalysis5

-

The derivative of a reciprocal function

+

The derivative of a reciprocal function

-

Continuity of the reciprocal function

+

Continuity of the reciprocal function

@@ -171,7 +171,7 @@

Library Coq.Reals.Ranalysis5

-

Derivability of the reciprocal function

+

Derivability of the reciprocal function

@@ -245,7 +245,7 @@

Library Coq.Reals.Ranalysis5

-

Value of the derivative of the reciprocal function

+

Value of the derivative of the reciprocal function

@@ -321,7 +321,7 @@

Library Coq.Reals.Ranalysis5

-

Existence of the derivative of a function which is the limit of a sequence of functions

+

Existence of the derivative of a function which is the limit of a sequence of functions

diff --git a/master/stdlib/Coq.Reals.Ratan.html b/master/stdlib/Coq.Reals.Ratan.html index 8eb085d80d..bc5b4eda22 100644 --- a/master/stdlib/Coq.Reals.Ratan.html +++ b/master/stdlib/Coq.Reals.Ratan.html @@ -69,11 +69,11 @@

Library Coq.Reals.Ratan

-

Preliminaries

+

Preliminaries

-

Various generic lemmas which probably should go somewhere else

+

Various generic lemmas which probably should go somewhere else

@@ -121,11 +121,11 @@

Library Coq.Reals.Ratan

-

Properties of tangent

+

Properties of tangent

-

Derivative of tangent

+

Derivative of tangent

@@ -143,7 +143,7 @@

Library Coq.Reals.Ratan

-

Proof that tangent is a bijection

+

Proof that tangent is a bijection

@@ -193,11 +193,11 @@

Library Coq.Reals.Ratan

-

Definition of arctangent

+

Definition of arctangent

-

Definition of arctangent as the reciprocal function of tangent and proof of this status

+

Definition of arctangent as the reciprocal function of tangent and proof of this status

@@ -270,7 +270,7 @@

Library Coq.Reals.Ratan

-

Derivative of arctangent

+

Derivative of arctangent

@@ -287,7 +287,7 @@

Library Coq.Reals.Ratan

-

Definition of the arctangent function as the sum of the arctan power series

+

Definition of the arctangent function as the sum of the arctan power series

@@ -335,7 +335,7 @@

Library Coq.Reals.Ratan

-

Proof of the equivalence of the two definitions between -1 and 1

+

Proof of the equivalence of the two definitions between -1 and 1

@@ -474,7 +474,7 @@

Library Coq.Reals.Ratan

-

Relation between arctangent and sine and cosine

+

Relation between arctangent and sine and cosine

@@ -491,7 +491,7 @@

Library Coq.Reals.Ratan

-

Definition of arcsine based on arctangent

+

Definition of arcsine based on arctangent

@@ -509,7 +509,7 @@

Library Coq.Reals.Ratan

-

Relation between arcsin and arctangent

+

Relation between arcsin and arctangent

@@ -522,7 +522,7 @@

Library Coq.Reals.Ratan

-

arcsine of specific values

+

arcsine of specific values

@@ -544,7 +544,7 @@

Library Coq.Reals.Ratan

-

Bounds of arcsine

+

Bounds of arcsine

@@ -561,7 +561,7 @@

Library Coq.Reals.Ratan

-

arcsine is the left and right inverse of sine

+

arcsine is the left and right inverse of sine

@@ -578,7 +578,7 @@

Library Coq.Reals.Ratan

-

Relation between arcsin, cosine and tangent

+

Relation between arcsin, cosine and tangent

@@ -595,7 +595,7 @@

Library Coq.Reals.Ratan

-

Derivative of arcsine

+

Derivative of arcsine

@@ -612,7 +612,7 @@

Library Coq.Reals.Ratan

-

Definition of arccosine based on arctangent

+

Definition of arccosine based on arctangent

@@ -630,7 +630,7 @@

Library Coq.Reals.Ratan

-

Relation between arccosine, arcsine and arctangent

+

Relation between arccosine, arcsine and arctangent

@@ -651,7 +651,7 @@

Library Coq.Reals.Ratan

-

arccosine of specific values

+

arccosine of specific values

@@ -673,7 +673,7 @@

Library Coq.Reals.Ratan

-

Bounds of arccosine

+

Bounds of arccosine

@@ -690,7 +690,7 @@

Library Coq.Reals.Ratan

-

arccosine is the left and right inverse of cosine

+

arccosine is the left and right inverse of cosine

@@ -707,7 +707,7 @@

Library Coq.Reals.Ratan

-

Relation between arccosine, sine and tangent

+

Relation between arccosine, sine and tangent

@@ -724,7 +724,7 @@

Library Coq.Reals.Ratan

-

Derivative of arccosine

+

Derivative of arccosine

diff --git a/master/stdlib/Coq.Reals.Raxioms.html b/master/stdlib/Coq.Reals.Raxioms.html index ab9b15c32f..c5ed091e17 100644 --- a/master/stdlib/Coq.Reals.Raxioms.html +++ b/master/stdlib/Coq.Reals.Raxioms.html @@ -69,11 +69,11 @@

Library Coq.Reals.Raxioms

-

Field operations

+

Field operations

-

Addition

+

Addition

@@ -141,7 +141,7 @@

Library Coq.Reals.Raxioms

-

Multiplication

+

Multiplication

@@ -176,7 +176,7 @@

Library Coq.Reals.Raxioms

-

Distributivity

+

Distributivity

@@ -192,11 +192,11 @@

Library Coq.Reals.Raxioms

-

Order

+

Order

-

Lower

+

Lower

@@ -222,7 +222,7 @@

Library Coq.Reals.Raxioms

-

Injection from N to R

+

Injection from N to R

@@ -241,7 +241,7 @@

Library Coq.Reals.Raxioms

-

R Archimedean

+

R Archimedean

@@ -269,7 +269,7 @@

Library Coq.Reals.Raxioms

-

R Complete

+

R Complete

diff --git a/master/stdlib/Coq.Reals.Rbasic_fun.html b/master/stdlib/Coq.Reals.Rbasic_fun.html index 27eecfe106..197c7afeb4 100644 --- a/master/stdlib/Coq.Reals.Rbasic_fun.html +++ b/master/stdlib/Coq.Reals.Rbasic_fun.html @@ -65,7 +65,7 @@

Library Coq.Reals.Rbasic_fun

-

Rmin

+

Rmin

@@ -131,7 +131,7 @@

Library Coq.Reals.Rbasic_fun

-

Rmax

+

Rmax

@@ -203,7 +203,7 @@

Library Coq.Reals.Rbasic_fun

-

Rabsolu

+

Rabsolu

diff --git a/master/stdlib/Coq.Reals.Rdefinitions.html b/master/stdlib/Coq.Reals.Rdefinitions.html index 83e773a604..1a3e7acffe 100644 --- a/master/stdlib/Coq.Reals.Rdefinitions.html +++ b/master/stdlib/Coq.Reals.Rdefinitions.html @@ -178,7 +178,7 @@

Library Coq.Reals.Rdefinitions

-

Injection from Z to R

+

Injection from Z to R

@@ -266,7 +266,7 @@

Library Coq.Reals.Rdefinitions

-

Number notation for constants

+

Number notation for constants

diff --git a/master/stdlib/Coq.Reals.Rfunctions.html b/master/stdlib/Coq.Reals.Rfunctions.html index 8f8aff7058..573f2752d2 100644 --- a/master/stdlib/Coq.Reals.Rfunctions.html +++ b/master/stdlib/Coq.Reals.Rfunctions.html @@ -74,7 +74,7 @@

Library Coq.Reals.Rfunctions

-

Lemmas about factorial

+

Lemmas about factorial

@@ -91,7 +91,7 @@

Library Coq.Reals.Rfunctions

-

Power

+

Power

@@ -230,7 +230,7 @@

Library Coq.Reals.Rfunctions

-

PowerRZ

+

PowerRZ

@@ -379,7 +379,7 @@

Library Coq.Reals.Rfunctions

-

Sum of n first naturals

+

Sum of n first naturals

@@ -403,7 +403,7 @@

Library Coq.Reals.Rfunctions

-

Sum

+

Sum

@@ -431,7 +431,7 @@

Library Coq.Reals.Rfunctions

-

Distance in R

+

Distance in R

@@ -477,7 +477,7 @@

Library Coq.Reals.Rfunctions

-

Infinite Sum

+

Infinite Sum

diff --git a/master/stdlib/Coq.Reals.Rgeom.html b/master/stdlib/Coq.Reals.Rgeom.html index 84c2b1bc25..fcfddb2507 100644 --- a/master/stdlib/Coq.Reals.Rgeom.html +++ b/master/stdlib/Coq.Reals.Rgeom.html @@ -57,7 +57,7 @@

Library Coq.Reals.Rgeom

-

Distance

+

Distance

@@ -91,7 +91,7 @@

Library Coq.Reals.Rgeom

-

Translation

+

Translation

@@ -113,7 +113,7 @@

Library Coq.Reals.Rgeom

-

Rotation

+

Rotation

@@ -147,7 +147,7 @@

Library Coq.Reals.Rgeom

-

Similarity

+

Similarity

diff --git a/master/stdlib/Coq.Reals.RiemannInt_SF.html b/master/stdlib/Coq.Reals.RiemannInt_SF.html index 50d8ca7418..256a8cd2d1 100644 --- a/master/stdlib/Coq.Reals.RiemannInt_SF.html +++ b/master/stdlib/Coq.Reals.RiemannInt_SF.html @@ -62,7 +62,7 @@

Library Coq.Reals.RiemannInt_SF

-

Each bounded subset of N has a maximal element

+

Each bounded subset of N has a maximal element

@@ -84,7 +84,7 @@

Library Coq.Reals.RiemannInt_SF

-

Step functions

+

Step functions

@@ -124,7 +124,7 @@

Library Coq.Reals.RiemannInt_SF

-

Class of step functions

+

Class of step functions

@@ -156,7 +156,7 @@

Library Coq.Reals.RiemannInt_SF

-

Integral of step functions

+

Integral of step functions

@@ -170,7 +170,7 @@

Library Coq.Reals.RiemannInt_SF

-

Properties of step functions

+

Properties of step functions

diff --git a/master/stdlib/Coq.Reals.Rlimit.html b/master/stdlib/Coq.Reals.Rlimit.html index b9759e600e..5672477314 100644 --- a/master/stdlib/Coq.Reals.Rlimit.html +++ b/master/stdlib/Coq.Reals.Rlimit.html @@ -63,7 +63,7 @@

Library Coq.Reals.Rlimit

-

Calculus

+

Calculus

@@ -101,7 +101,7 @@

Library Coq.Reals.Rlimit

-

Metric space

+

Metric space

@@ -120,7 +120,7 @@

Library Coq.Reals.Rlimit

-

Limit in Metric space

+

Limit in Metric space

@@ -139,7 +139,7 @@

Library Coq.Reals.Rlimit

-

R is a metric space

+

R is a metric space

@@ -155,7 +155,7 @@

Library Coq.Reals.Rlimit

-

Limit 1 arg

+

Limit 1 arg

diff --git a/master/stdlib/Coq.Reals.Rlogic.html b/master/stdlib/Coq.Reals.Rlogic.html index 5a555eb862..c9551b7195 100644 --- a/master/stdlib/Coq.Reals.Rlogic.html +++ b/master/stdlib/Coq.Reals.Rlogic.html @@ -75,7 +75,7 @@

Library Coq.Reals.Rlogic

-

Decidability of arithmetical statements

+

Decidability of arithmetical statements

@@ -101,7 +101,7 @@

Library Coq.Reals.Rlogic

-

Derivability of the Archimedean axiom

+

Derivability of the Archimedean axiom

@@ -121,7 +121,7 @@

Library Coq.Reals.Rlogic

-

Decidability of negated formulas

+

Decidability of negated formulas

diff --git a/master/stdlib/Coq.Reals.Rminmax.html b/master/stdlib/Coq.Reals.Rminmax.html index e6f70f0633..8d63237db7 100644 --- a/master/stdlib/Coq.Reals.Rminmax.html +++ b/master/stdlib/Coq.Reals.Rminmax.html @@ -55,7 +55,7 @@

Library Coq.Reals.Rminmax

-

Maximum and Minimum of two real numbers

+

Maximum and Minimum of two real numbers

@@ -112,7 +112,7 @@

Library Coq.Reals.Rminmax

-

Properties specific to the R domain

+

Properties specific to the R domain

diff --git a/master/stdlib/Coq.Reals.Rpower.html b/master/stdlib/Coq.Reals.Rpower.html index 3a7b9ed61a..3f71f4b8b5 100644 --- a/master/stdlib/Coq.Reals.Rpower.html +++ b/master/stdlib/Coq.Reals.Rpower.html @@ -76,7 +76,7 @@

Library Coq.Reals.Rpower

-

Properties of Exp

+

Properties of Exp

@@ -129,7 +129,7 @@

Library Coq.Reals.Rpower

-

Properties of Ln

+

Properties of Ln

@@ -169,7 +169,7 @@

Library Coq.Reals.Rpower

-

Definition of Rpower

+

Definition of Rpower

@@ -181,7 +181,7 @@

Library Coq.Reals.Rpower

-

Properties of Rpower

+

Properties of Rpower

@@ -248,7 +248,7 @@

Library Coq.Reals.Rpower

-

Differentiability of Ln and Rpower

+

Differentiability of Ln and Rpower

diff --git a/master/stdlib/Coq.Reals.Rseries.html b/master/stdlib/Coq.Reals.Rseries.html index 0d5f4ed685..6610aef97d 100644 --- a/master/stdlib/Coq.Reals.Rseries.html +++ b/master/stdlib/Coq.Reals.Rseries.html @@ -58,7 +58,7 @@

Library Coq.Reals.Rseries

-

Definition of sequence and properties

+

Definition of sequence and properties

@@ -130,7 +130,7 @@

Library Coq.Reals.Rseries

-

Definition of Power Series and properties

+

Definition of Power Series and properties

diff --git a/master/stdlib/Coq.Reals.Rtopology.html b/master/stdlib/Coq.Reals.Rtopology.html index c2b57bbc48..ebea85ac4f 100644 --- a/master/stdlib/Coq.Reals.Rtopology.html +++ b/master/stdlib/Coq.Reals.Rtopology.html @@ -59,7 +59,7 @@

Library Coq.Reals.Rtopology

-

General definitions and propositions

+

General definitions and propositions

@@ -307,7 +307,7 @@

Library Coq.Reals.Rtopology

-

Proof of Bolzano-Weierstrass theorem

+

Proof of Bolzano-Weierstrass theorem

@@ -380,7 +380,7 @@

Library Coq.Reals.Rtopology

-

Proof of Heine's theorem

+

Proof of Heine's theorem

diff --git a/master/stdlib/Coq.Reals.Rtrigo1.html b/master/stdlib/Coq.Reals.Rtrigo1.html index a327a91682..d58c5bcac0 100644 --- a/master/stdlib/Coq.Reals.Rtrigo1.html +++ b/master/stdlib/Coq.Reals.Rtrigo1.html @@ -164,7 +164,7 @@

Library Coq.Reals.Rtrigo1

-

Some properties of cos, sin and tan

+

Some properties of cos, sin and tan

@@ -258,7 +258,7 @@

Library Coq.Reals.Rtrigo1

-

Using series definitions of cos and sin

+

Using series definitions of cos and sin

@@ -292,7 +292,7 @@

Library Coq.Reals.Rtrigo1

-

Increasing and decreasing of cos and sin

+

Increasing and decreasing of cos and sin

diff --git a/master/stdlib/Coq.Reals.Rtrigo_def.html b/master/stdlib/Coq.Reals.Rtrigo_def.html index 47df4e413b..1143b23ebc 100644 --- a/master/stdlib/Coq.Reals.Rtrigo_def.html +++ b/master/stdlib/Coq.Reals.Rtrigo_def.html @@ -54,7 +54,7 @@

Library Coq.Reals.Rtrigo_def

-

Definition of exponential

+

Definition of exponential

@@ -80,7 +80,7 @@

Library Coq.Reals.Rtrigo_def

-

Definition of hyperbolic functions

+

Definition of hyperbolic functions

@@ -154,7 +154,7 @@

Library Coq.Reals.Rtrigo_def

-

Properties

+

Properties

diff --git a/master/stdlib/Coq.Reals.Rtrigo_facts.html b/master/stdlib/Coq.Reals.Rtrigo_facts.html index 6ab61e5100..8fe7b87a7c 100644 --- a/master/stdlib/Coq.Reals.Rtrigo_facts.html +++ b/master/stdlib/Coq.Reals.Rtrigo_facts.html @@ -61,7 +61,7 @@

Library Coq.Reals.Rtrigo_facts

-

Bounds of expressions with trigonometric functions

+

Bounds of expressions with trigonometric functions

@@ -78,11 +78,11 @@

Library Coq.Reals.Rtrigo_facts

-

Express trigonometric functions with each other

+

Express trigonometric functions with each other

-

Express sin and cos with each other

+

Express sin and cos with each other

@@ -115,7 +115,7 @@

Library Coq.Reals.Rtrigo_facts

-

Express tan with sin and cos

+

Express tan with sin and cos

@@ -148,7 +148,7 @@

Library Coq.Reals.Rtrigo_facts

-

Express sin and cos with tan

+

Express sin and cos with tan

@@ -165,7 +165,7 @@

Library Coq.Reals.Rtrigo_facts

-

Additional shift lemmas for sin, cos, tan

+

Additional shift lemmas for sin, cos, tan

diff --git a/master/stdlib/Coq.Relations.Operators_Properties.html b/master/stdlib/Coq.Relations.Operators_Properties.html index b7d0a59d00..9c26c3ae1a 100644 --- a/master/stdlib/Coq.Relations.Operators_Properties.html +++ b/master/stdlib/Coq.Relations.Operators_Properties.html @@ -49,8 +49,8 @@

Library Coq.Relations.Operators_Properties

-

Some properties of the operators on relations

-

Initial version by Bruno Barras

+

Some properties of the operators on relations

+

Initial version by Bruno Barras

@@ -180,12 +180,12 @@

Library Coq.Relations.Operators_Properties

-

Equivalences between the different definition of the reflexive,

+

Equivalences between the different definition of the reflexive,

symmetric, transitive closures
-

Contributed by P. Castéran

+

Contributed by P. Castéran

diff --git a/master/stdlib/Coq.Relations.Relation_Operators.html b/master/stdlib/Coq.Relations.Relation_Operators.html index d093c664e8..97a3be1596 100644 --- a/master/stdlib/Coq.Relations.Relation_Operators.html +++ b/master/stdlib/Coq.Relations.Relation_Operators.html @@ -49,14 +49,14 @@

Library Coq.Relations.Relation_Operators

-

Some operators on relations

-

Initial authors: Bruno Barras, Cristina Cornes

-

-

Some of the initial definitions were taken from :

-

Constructing Recursion Operators in Type Theory

-

L. Paulson JSC (1986) 2, 325-355

-

-

Further extensions by Pierre Castéran

+

Some operators on relations

+

Initial authors: Bruno Barras, Cristina Cornes

+

+

Some of the initial definitions were taken from :

+

Constructing Recursion Operators in Type Theory

+

L. Paulson JSC (1986) 2, 325-355

+

+

Further extensions by Pierre Castéran

@@ -68,7 +68,7 @@

Library Coq.Relations.Relation_Operators

-

Transitive closure

+

Transitive closure

@@ -124,7 +124,7 @@

Library Coq.Relations.Relation_Operators

-

Reflexive closure

+

Reflexive closure

@@ -154,7 +154,7 @@

Library Coq.Relations.Relation_Operators

-

Reflexive-transitive closure

+

Reflexive-transitive closure

@@ -214,7 +214,7 @@

Library Coq.Relations.Relation_Operators

-

Reflexive-symmetric-transitive closure

+

Reflexive-symmetric-transitive closure

@@ -276,7 +276,7 @@

Library Coq.Relations.Relation_Operators

-

Converse of a relation

+

Converse of a relation

@@ -294,7 +294,7 @@

Library Coq.Relations.Relation_Operators

-

Union of relations

+

Union of relations

@@ -312,7 +312,7 @@

Library Coq.Relations.Relation_Operators

-

Disjoint union of relations

+

Disjoint union of relations

@@ -336,7 +336,7 @@

Library Coq.Relations.Relation_Operators

-

Lexicographic order on dependent pairs

+

Lexicographic order on dependent pairs

@@ -369,7 +369,7 @@

Library Coq.Relations.Relation_Operators

-

Lexicographic order on pairs

+

Lexicographic order on pairs

@@ -404,7 +404,7 @@

Library Coq.Relations.Relation_Operators

-

Product of relations

+

Product of relations

@@ -430,7 +430,7 @@

Library Coq.Relations.Relation_Operators

-

Multiset of two relations

+

Multiset of two relations

diff --git a/master/stdlib/Coq.Sorting.CPermutation.html b/master/stdlib/Coq.Sorting.CPermutation.html index a3444a2666..167786867b 100644 --- a/master/stdlib/Coq.Sorting.CPermutation.html +++ b/master/stdlib/Coq.Sorting.CPermutation.html @@ -49,7 +49,7 @@

Library Coq.Sorting.CPermutation

-

Circular Shifts (aka Cyclic Permutations)

+

Circular Shifts (aka Cyclic Permutations)

diff --git a/master/stdlib/Coq.Sorting.Heap.html b/master/stdlib/Coq.Sorting.Heap.html index e2471e3e32..aa029533e3 100644 --- a/master/stdlib/Coq.Sorting.Heap.html +++ b/master/stdlib/Coq.Sorting.Heap.html @@ -74,11 +74,11 @@

Library Coq.Sorting.Heap

-

Trees and heap trees

+

Trees and heap trees

-

Definition of trees over an ordered set

+

Definition of trees over an ordered set

@@ -143,7 +143,7 @@

Library Coq.Sorting.Heap

-

The heap property

+

The heap property

@@ -195,7 +195,7 @@

Library Coq.Sorting.Heap

-

Merging two sorted lists

+

Merging two sorted lists

@@ -227,7 +227,7 @@

Library Coq.Sorting.Heap

-

From trees to multisets

+

From trees to multisets

@@ -263,11 +263,11 @@

Library Coq.Sorting.Heap

-

From lists to sorted lists

+

From lists to sorted lists

-

Specification of heap insertion

+

Specification of heap insertion

@@ -289,7 +289,7 @@

Library Coq.Sorting.Heap

-

Building a heap from a list

+

Building a heap from a list

@@ -309,7 +309,7 @@

Library Coq.Sorting.Heap

-

Building the sorted list

+

Building the sorted list

@@ -330,7 +330,7 @@

Library Coq.Sorting.Heap

-

Specification of treesort

+

Specification of treesort

diff --git a/master/stdlib/Coq.Sorting.PermutSetoid.html b/master/stdlib/Coq.Sorting.PermutSetoid.html index 64a9ce24ec..f53331cb23 100644 --- a/master/stdlib/Coq.Sorting.PermutSetoid.html +++ b/master/stdlib/Coq.Sorting.PermutSetoid.html @@ -89,7 +89,7 @@

Library Coq.Sorting.PermutSetoid

-

From lists to multisets

+

From lists to multisets

@@ -128,7 +128,7 @@

Library Coq.Sorting.PermutSetoid

-

permutation: definition and basic properties

+

permutation: definition and basic properties

@@ -202,7 +202,7 @@

Library Coq.Sorting.PermutSetoid

-

Some inversion results.

+

Some inversion results.

diff --git a/master/stdlib/Coq.Sorting.Permutation.html b/master/stdlib/Coq.Sorting.Permutation.html index 0c17f298a7..cc69cb79d1 100644 --- a/master/stdlib/Coq.Sorting.Permutation.html +++ b/master/stdlib/Coq.Sorting.Permutation.html @@ -49,7 +49,7 @@

Library Coq.Sorting.Permutation

-

List permutations as a composition of adjacent transpositions

+

List permutations as a composition of adjacent transpositions

diff --git a/master/stdlib/Coq.Strings.Ascii.html b/master/stdlib/Coq.Strings.Ascii.html index c04e02d6d4..18a3b9723b 100644 --- a/master/stdlib/Coq.Strings.Ascii.html +++ b/master/stdlib/Coq.Strings.Ascii.html @@ -62,7 +62,7 @@

Library Coq.Strings.Ascii

-

Definition of ascii characters

+

Definition of ascii characters

@@ -142,7 +142,7 @@

Library Coq.Strings.Ascii

-

Conversion between natural numbers modulo 256 and ascii characters

+

Conversion between natural numbers modulo 256 and ascii characters

@@ -284,7 +284,7 @@

Library Coq.Strings.Ascii

-

Concrete syntax

+

Concrete syntax

diff --git a/master/stdlib/Coq.Strings.String.html b/master/stdlib/Coq.Strings.String.html index 1ef7b4c7e2..ed46dfb5ef 100644 --- a/master/stdlib/Coq.Strings.String.html +++ b/master/stdlib/Coq.Strings.String.html @@ -65,7 +65,7 @@

Library Coq.Strings.String

-

Definition of strings

+

Definition of strings

@@ -136,7 +136,7 @@

Library Coq.Strings.String

-

Compare strings lexicographically

+

Compare strings lexicographically

@@ -186,7 +186,7 @@

Library Coq.Strings.String

-

Concatenation of strings

+

Concatenation of strings

@@ -277,7 +277,7 @@

Library Coq.Strings.String

-

Substrings

+

Substrings

@@ -326,7 +326,7 @@

Library Coq.Strings.String

-

Concatenating lists of strings

+

Concatenating lists of strings

@@ -347,7 +347,7 @@

Library Coq.Strings.String

-

Test functions

+

Test functions

@@ -499,7 +499,7 @@

Library Coq.Strings.String

-

Conversion to/from list ascii and list byte

+

Conversion to/from list ascii and list byte

@@ -542,7 +542,7 @@

Library Coq.Strings.String

-

Concrete syntax

+

Concrete syntax

diff --git a/master/stdlib/Coq.Structures.DecidableType.html b/master/stdlib/Coq.Structures.DecidableType.html index 975fb92de0..88b587adad 100644 --- a/master/stdlib/Coq.Structures.DecidableType.html +++ b/master/stdlib/Coq.Structures.DecidableType.html @@ -60,7 +60,7 @@

Library Coq.Structures.DecidableType

FSets and FMap. Please use Structures/Equalities.v directly now.
-

Types with Equalities, and nothing more (for subtyping purpose)

+

Types with Equalities, and nothing more (for subtyping purpose)

@@ -72,7 +72,7 @@

Library Coq.Structures.DecidableType

-

Types with decidable Equalities (but no ordering)

+

Types with decidable Equalities (but no ordering)

@@ -84,7 +84,7 @@

Library Coq.Structures.DecidableType

-

Additional notions about keys and datas used in FMap

+

Additional notions about keys and datas used in FMap

diff --git a/master/stdlib/Coq.Structures.DecidableTypeEx.html b/master/stdlib/Coq.Structures.DecidableTypeEx.html index ebfbc1f238..30550f3e0e 100644 --- a/master/stdlib/Coq.Structures.DecidableTypeEx.html +++ b/master/stdlib/Coq.Structures.DecidableTypeEx.html @@ -57,7 +57,7 @@

Library Coq.Structures.DecidableTypeEx

FSets and FMap. Please use Structures/Equalities.v directly now.
-

Examples of Decidable Type structures.

+

Examples of Decidable Type structures.

diff --git a/master/stdlib/Coq.Structures.Equalities.html b/master/stdlib/Coq.Structures.Equalities.html index 467cc695d1..fc0c9d47ec 100644 --- a/master/stdlib/Coq.Structures.Equalities.html +++ b/master/stdlib/Coq.Structures.Equalities.html @@ -69,7 +69,7 @@

Library Coq.Structures.Equalities

-

Structure with just a base type t

+

Structure with just a base type t

@@ -83,7 +83,7 @@

Library Coq.Structures.Equalities

-

Structure with an equality relation eq

+

Structure with an equality relation eq

@@ -109,7 +109,7 @@

Library Coq.Structures.Equalities

-

Specification of the equality via the Equivalence type class

+

Specification of the equality via the Equivalence type class

@@ -124,7 +124,7 @@

Library Coq.Structures.Equalities

-

Earlier specification of equality by three separate lemmas.

+

Earlier specification of equality by three separate lemmas.

@@ -144,7 +144,7 @@

Library Coq.Structures.Equalities

-

Types with decidable equality

+

Types with decidable equality

@@ -158,7 +158,7 @@

Library Coq.Structures.Equalities

-

Boolean Equality

+

Boolean Equality

@@ -253,7 +253,7 @@

Library Coq.Structures.Equalities

-

Compatibility wrapper from/to the old version of

+

Compatibility wrapper from/to the old version of

EqualityType and DecidableType
@@ -292,7 +292,7 @@

Library Coq.Structures.Equalities

-

Having eq_dec is equivalent to having eqb and its spec.

+

Having eq_dec is equivalent to having eqb and its spec.

@@ -390,7 +390,7 @@

Library Coq.Structures.Equalities

-

UsualDecidableType

+

UsualDecidableType

diff --git a/master/stdlib/Coq.Structures.EqualitiesFacts.html b/master/stdlib/Coq.Structures.EqualitiesFacts.html index e1d764d297..6b7c90cf72 100644 --- a/master/stdlib/Coq.Structures.EqualitiesFacts.html +++ b/master/stdlib/Coq.Structures.EqualitiesFacts.html @@ -55,7 +55,7 @@

Library Coq.Structures.EqualitiesFacts

-

Keys and datas used in the future MMaps

+

Keys and datas used in the future MMaps

@@ -227,7 +227,7 @@

Library Coq.Structures.EqualitiesFacts

-

PairDecidableType

+

PairDecidableType

diff --git a/master/stdlib/Coq.Structures.GenericMinMax.html b/master/stdlib/Coq.Structures.GenericMinMax.html index 5c85b117f8..05813d79ab 100644 --- a/master/stdlib/Coq.Structures.GenericMinMax.html +++ b/master/stdlib/Coq.Structures.GenericMinMax.html @@ -52,11 +52,11 @@

Library Coq.Structures.GenericMinMax

-

A Generic construction of min and max

+

A Generic construction of min and max

-

First, an interface for types with max and/or min

+

First, an interface for types with max and/or min

@@ -82,7 +82,7 @@

Library Coq.Structures.GenericMinMax

-

Any OrderedTypeFull can be equipped by max and min

+

Any OrderedTypeFull can be equipped by max and min

based on the compare function.
@@ -123,7 +123,7 @@

Library Coq.Structures.GenericMinMax

-

Consequences of the minimalist interface: facts about max and min.

+

Consequences of the minimalist interface: facts about max and min.

@@ -201,7 +201,7 @@

Library Coq.Structures.GenericMinMax

-

Semi-lattice algebraic properties of max

+

Semi-lattice algebraic properties of max

@@ -228,7 +228,7 @@

Library Coq.Structures.GenericMinMax

-

Least-upper bound properties of max

+

Least-upper bound properties of max

@@ -387,7 +387,7 @@

Library Coq.Structures.GenericMinMax

-

Combined properties of min and max

+

Combined properties of min and max

@@ -469,7 +469,7 @@

Library Coq.Structures.GenericMinMax

-

Properties requiring a decidable order

+

Properties requiring a decidable order

@@ -549,7 +549,7 @@

Library Coq.Structures.GenericMinMax

-

When the equality is Leibniz, we can skip a few Proper precondition.

+

When the equality is Leibniz, we can skip a few Proper precondition.

diff --git a/master/stdlib/Coq.Structures.OrderedType.html b/master/stdlib/Coq.Structures.OrderedType.html index c066528625..0944697934 100644 --- a/master/stdlib/Coq.Structures.OrderedType.html +++ b/master/stdlib/Coq.Structures.OrderedType.html @@ -57,7 +57,7 @@

Library Coq.Structures.OrderedType

FSets and FMap. Please use Structures/Orders.v directly now.
-

Ordered types

+

Ordered types

@@ -138,7 +138,7 @@

Library Coq.Structures.OrderedType

-

Ordered types properties

+

Ordered types properties

diff --git a/master/stdlib/Coq.Structures.OrderedTypeAlt.html b/master/stdlib/Coq.Structures.OrderedTypeAlt.html index 0f3e84aad9..fbd0abc2fb 100644 --- a/master/stdlib/Coq.Structures.OrderedTypeAlt.html +++ b/master/stdlib/Coq.Structures.OrderedTypeAlt.html @@ -50,7 +50,7 @@

Library Coq.Structures.OrderedTypeAlt

-

An alternative (but equivalent) presentation for an Ordered Type

+

An alternative (but equivalent) presentation for an Ordered Type

inferface.
diff --git a/master/stdlib/Coq.Structures.OrderedTypeEx.html b/master/stdlib/Coq.Structures.OrderedTypeEx.html index acd3cab074..aba89d11c1 100644 --- a/master/stdlib/Coq.Structures.OrderedTypeEx.html +++ b/master/stdlib/Coq.Structures.OrderedTypeEx.html @@ -56,7 +56,7 @@

Library Coq.Structures.OrderedTypeEx

-

Examples of Ordered Type structures.

+

Examples of Ordered Type structures.

diff --git a/master/stdlib/Coq.Structures.Orders.html b/master/stdlib/Coq.Structures.Orders.html index 94fb5598fc..00fc7e6367 100644 --- a/master/stdlib/Coq.Structures.Orders.html +++ b/master/stdlib/Coq.Structures.Orders.html @@ -53,7 +53,7 @@

Library Coq.Structures.Orders

-

Ordered types

+

Ordered types

@@ -188,7 +188,7 @@

Library Coq.Structures.Orders

DecidableType.
-

Versions with eq being the usual Leibniz equality of Coq

+

Versions with eq being the usual Leibniz equality of Coq

@@ -220,7 +220,7 @@

Library Coq.Structures.Orders

-

Purely logical versions

+

Purely logical versions

@@ -243,7 +243,7 @@

Library Coq.Structures.Orders

-

Conversions

+

Conversions

@@ -304,7 +304,7 @@

Library Coq.Structures.Orders

-

Versions with boolean comparisons

+

Versions with boolean comparisons

@@ -406,7 +406,7 @@

Library Coq.Structures.Orders

-

From OrderedTypeFull to TotalTransitiveLeBool

+

From OrderedTypeFull to TotalTransitiveLeBool

@@ -437,7 +437,7 @@

Library Coq.Structures.Orders

-

From TotalTransitiveLeBool to OrderedTypeFull

+

From TotalTransitiveLeBool to OrderedTypeFull

diff --git a/master/stdlib/Coq.Structures.OrdersAlt.html b/master/stdlib/Coq.Structures.OrdersAlt.html index fceea9da06..39fd97df30 100644 --- a/master/stdlib/Coq.Structures.OrdersAlt.html +++ b/master/stdlib/Coq.Structures.OrdersAlt.html @@ -55,12 +55,12 @@

Library Coq.Structures.OrdersAlt

-

Some alternative (but equivalent) presentations for an Ordered Type

+

Some alternative (but equivalent) presentations for an Ordered Type

inferface.
-

The original interface

+

The original interface

@@ -72,7 +72,7 @@

Library Coq.Structures.OrdersAlt

-

An interface based on compare

+

An interface based on compare

@@ -102,7 +102,7 @@

Library Coq.Structures.OrdersAlt

-

From OrderedTypeOrig to OrderedType.

+

From OrderedTypeOrig to OrderedType.

@@ -141,7 +141,7 @@

Library Coq.Structures.OrdersAlt

-

From OrderedType to OrderedTypeOrig.

+

From OrderedType to OrderedTypeOrig.

@@ -170,7 +170,7 @@

Library Coq.Structures.OrdersAlt

-

From OrderedTypeAlt to OrderedType.

+

From OrderedTypeAlt to OrderedType.

diff --git a/master/stdlib/Coq.Structures.OrdersEx.html b/master/stdlib/Coq.Structures.OrdersEx.html index 160fd3776c..92740f16f5 100644 --- a/master/stdlib/Coq.Structures.OrdersEx.html +++ b/master/stdlib/Coq.Structures.OrdersEx.html @@ -56,7 +56,7 @@

Library Coq.Structures.OrdersEx

-

Examples of Ordered Type structures.

+

Examples of Ordered Type structures.

diff --git a/master/stdlib/Coq.Structures.OrdersFacts.html b/master/stdlib/Coq.Structures.OrdersFacts.html index b16664558d..3d8e525725 100644 --- a/master/stdlib/Coq.Structures.OrdersFacts.html +++ b/master/stdlib/Coq.Structures.OrdersFacts.html @@ -56,7 +56,7 @@

Library Coq.Structures.OrdersFacts

-

Properties of compare

+

Properties of compare

@@ -105,7 +105,7 @@

Library Coq.Structures.OrdersFacts

-

Properties of OrderedTypeFull

+

Properties of OrderedTypeFull

@@ -165,7 +165,7 @@

Library Coq.Structures.OrdersFacts

-

Properties of OrderedType

+

Properties of OrderedType

@@ -260,7 +260,7 @@

Library Coq.Structures.OrdersFacts

-

Tests of the order tactic

+

Tests of the order tactic

@@ -298,7 +298,7 @@

Library Coq.Structures.OrdersFacts

-

Reversed OrderedTypeFull.

+

Reversed OrderedTypeFull.

@@ -349,7 +349,7 @@

Library Coq.Structures.OrdersFacts

-

Order relations derived from a compare function.

+

Order relations derived from a compare function.

diff --git a/master/stdlib/Coq.Structures.OrdersLists.html b/master/stdlib/Coq.Structures.OrdersLists.html index 742550fec5..5eed1e9972 100644 --- a/master/stdlib/Coq.Structures.OrdersLists.html +++ b/master/stdlib/Coq.Structures.OrdersLists.html @@ -55,7 +55,7 @@

Library Coq.Structures.OrdersLists

-

Specialization of results about lists modulo.

+

Specialization of results about lists modulo.

@@ -110,7 +110,7 @@

Library Coq.Structures.OrdersLists

-

Results about keys and data as manipulated in the future MMaps.

+

Results about keys and data as manipulated in the future MMaps.

diff --git a/master/stdlib/Coq.Structures.OrdersTac.html b/master/stdlib/Coq.Structures.OrdersTac.html index 4051f899ca..7a6c7711be 100644 --- a/master/stdlib/Coq.Structures.OrdersTac.html +++ b/master/stdlib/Coq.Structures.OrdersTac.html @@ -53,7 +53,7 @@

Library Coq.Structures.OrdersTac

-

The order tactic

+

The order tactic

@@ -92,7 +92,7 @@

Library Coq.Structures.OrdersTac

-

The tactic requirements : a total order

+

The tactic requirements : a total order

@@ -128,7 +128,7 @@

Library Coq.Structures.OrdersTac

-

Properties that will be used by the order tactic

+

Properties that will be used by the order tactic

@@ -238,7 +238,7 @@

Library Coq.Structures.OrdersTac

-

MakeOrderTac : The functor providing the order tactic.

+

MakeOrderTac : The functor providing the order tactic.

diff --git a/master/stdlib/Coq.Vectors.VectorDef.html b/master/stdlib/Coq.Vectors.VectorDef.html index fc61848309..e4c55a638d 100644 --- a/master/stdlib/Coq.Vectors.VectorDef.html +++ b/master/stdlib/Coq.Vectors.VectorDef.html @@ -427,7 +427,7 @@

Library Coq.Vectors.VectorDef

-

Here are special non dependent useful instantiation of induction schemes

+

Here are special non dependent useful instantiation of induction schemes

@@ -554,7 +554,7 @@

Library Coq.Vectors.VectorDef

-

vector <=> list functions

+

vector <=> list functions

diff --git a/master/stdlib/Coq.Vectors.VectorSpec.html b/master/stdlib/Coq.Vectors.VectorSpec.html index b584b41650..ff0b0f3d14 100644 --- a/master/stdlib/Coq.Vectors.VectorSpec.html +++ b/master/stdlib/Coq.Vectors.VectorSpec.html @@ -85,7 +85,7 @@

Library Coq.Vectors.VectorSpec

is true for the one that use lt
-

Properties of nth and nth_order

+

Properties of nth and nth_order

@@ -126,7 +126,7 @@

Library Coq.Vectors.VectorSpec

-

Properties of replace

+

Properties of replace

@@ -172,7 +172,7 @@

Library Coq.Vectors.VectorSpec

-

Properties of const

+

Properties of const

@@ -187,7 +187,7 @@

Library Coq.Vectors.VectorSpec

-

Properties of map

+

Properties of map

@@ -228,7 +228,7 @@

Library Coq.Vectors.VectorSpec

-

Properties of fold_left

+

Properties of fold_left

@@ -242,7 +242,7 @@

Library Coq.Vectors.VectorSpec

-

Properties of take

+

Properties of take

@@ -264,7 +264,7 @@

Library Coq.Vectors.VectorSpec

-

Properties of uncons and splitat

+

Properties of uncons and splitat

@@ -295,7 +295,7 @@

Library Coq.Vectors.VectorSpec

-

Properties of In

+

Properties of In

@@ -308,7 +308,7 @@

Library Coq.Vectors.VectorSpec

-

Properties of Forall and Forall2

+

Properties of Forall and Forall2

@@ -358,7 +358,7 @@

Library Coq.Vectors.VectorSpec

-

Properties of shiftin and shiftrepeat

+

Properties of shiftin and shiftrepeat

@@ -397,7 +397,7 @@

Library Coq.Vectors.VectorSpec

-

Properties of rev

+

Properties of rev

@@ -435,7 +435,7 @@

Library Coq.Vectors.VectorSpec

-

Properties of to_list

+

Properties of to_list

diff --git a/master/stdlib/Coq.ZArith.BinInt.html b/master/stdlib/Coq.ZArith.BinInt.html index b2614029a9..96ffffea1d 100644 --- a/master/stdlib/Coq.ZArith.BinInt.html +++ b/master/stdlib/Coq.ZArith.BinInt.html @@ -55,7 +55,7 @@

Library Coq.ZArith.BinInt

-

Binary Integers

+

Binary Integers

@@ -90,7 +90,7 @@

Library Coq.ZArith.BinInt

-

Definitions of operations, now in a separate file

+

Definitions of operations, now in a separate file

@@ -122,7 +122,7 @@

Library Coq.ZArith.BinInt

-

Logic Predicates

+

Logic Predicates

@@ -172,7 +172,7 @@

Library Coq.ZArith.BinInt

-

Decidability of equality.

+

Decidability of equality.

@@ -184,7 +184,7 @@

Library Coq.ZArith.BinInt

-

Proofs of morphisms, obvious since eq is Leibniz

+

Proofs of morphisms, obvious since eq is Leibniz

@@ -209,7 +209,7 @@

Library Coq.ZArith.BinInt

-

Properties of pos_sub

+

Properties of pos_sub

@@ -280,7 +280,7 @@

Library Coq.ZArith.BinInt

-

Operations and constants

+

Operations and constants

@@ -298,7 +298,7 @@

Library Coq.ZArith.BinInt

-

Addition is commutative

+

Addition is commutative

@@ -310,7 +310,7 @@

Library Coq.ZArith.BinInt

-

Opposite distributes over addition

+

Opposite distributes over addition

@@ -322,7 +322,7 @@

Library Coq.ZArith.BinInt

-

Opposite is injective

+

Opposite is injective

@@ -334,7 +334,7 @@

Library Coq.ZArith.BinInt

-

Addition is associative

+

Addition is associative

@@ -356,7 +356,7 @@

Library Coq.ZArith.BinInt

-

Opposite is inverse for addition

+

Opposite is inverse for addition

@@ -368,7 +368,7 @@

Library Coq.ZArith.BinInt

-

Multiplication and Opposite

+

Multiplication and Opposite

@@ -380,7 +380,7 @@

Library Coq.ZArith.BinInt

-

Distributivity of multiplication over addition

+

Distributivity of multiplication over addition

@@ -399,11 +399,11 @@

Library Coq.ZArith.BinInt

-

Proofs of specifications

+

Proofs of specifications

-

Specification of constants

+

Specification of constants

@@ -418,7 +418,7 @@

Library Coq.ZArith.BinInt

-

Specification of addition

+

Specification of addition

@@ -433,7 +433,7 @@

Library Coq.ZArith.BinInt

-

Specification of opposite

+

Specification of opposite

@@ -448,7 +448,7 @@

Library Coq.ZArith.BinInt

-

Specification of successor and predecessor

+

Specification of successor and predecessor

@@ -466,7 +466,7 @@

Library Coq.ZArith.BinInt

-

Specification of subtraction

+

Specification of subtraction

@@ -481,7 +481,7 @@

Library Coq.ZArith.BinInt

-

Specification of multiplication

+

Specification of multiplication

@@ -496,7 +496,7 @@

Library Coq.ZArith.BinInt

-

Specification of comparisons and order

+

Specification of comparisons and order

@@ -588,7 +588,7 @@

Library Coq.ZArith.BinInt

-

Specification of minimum and maximum

+

Specification of minimum and maximum

@@ -609,7 +609,7 @@

Library Coq.ZArith.BinInt

-

Induction principles based on successor / predecessor

+

Induction principles based on successor / predecessor

@@ -650,7 +650,7 @@

Library Coq.ZArith.BinInt

-

Specification of absolute value

+

Specification of absolute value

@@ -665,7 +665,7 @@

Library Coq.ZArith.BinInt

-

Specification of sign

+

Specification of sign

@@ -683,7 +683,7 @@

Library Coq.ZArith.BinInt

-

Specification of power

+

Specification of power

@@ -712,7 +712,7 @@

Library Coq.ZArith.BinInt

-

Specification of square

+

Specification of square

@@ -724,7 +724,7 @@

Library Coq.ZArith.BinInt

-

Specification of square root

+

Specification of square root

@@ -747,7 +747,7 @@

Library Coq.ZArith.BinInt

-

Specification of logarithm

+

Specification of logarithm

@@ -776,7 +776,7 @@

Library Coq.ZArith.BinInt

-

Multiplication and Doubling

+

Multiplication and Doubling

@@ -794,7 +794,7 @@

Library Coq.ZArith.BinInt

-

Correctness proofs for Trunc division

+

Correctness proofs for Trunc division

@@ -826,7 +826,7 @@

Library Coq.ZArith.BinInt

-

Correctness proofs for Floor division

+

Correctness proofs for Floor division

@@ -859,7 +859,7 @@

Library Coq.ZArith.BinInt

-

Extra properties about divide

+

Extra properties about divide

@@ -877,7 +877,7 @@

Library Coq.ZArith.BinInt

-

Correctness proofs for gcd

+

Correctness proofs for gcd

@@ -918,7 +918,7 @@

Library Coq.ZArith.BinInt

-

Extra properties about testbit

+

Extra properties about testbit

@@ -943,7 +943,7 @@

Library Coq.ZArith.BinInt

-

Proofs of specifications for bitwise operations

+

Proofs of specifications for bitwise operations

@@ -1128,7 +1128,7 @@

Library Coq.ZArith.BinInt

-

Comparison and opposite

+

Comparison and opposite

@@ -1140,7 +1140,7 @@

Library Coq.ZArith.BinInt

-

Comparison and addition

+

Comparison and addition

@@ -1152,7 +1152,7 @@

Library Coq.ZArith.BinInt

-

testbit in terms of comparison.

+

testbit in terms of comparison.

diff --git a/master/stdlib/Coq.ZArith.BinIntDef.html b/master/stdlib/Coq.ZArith.BinIntDef.html index c6c473bbeb..32248bb05d 100644 --- a/master/stdlib/Coq.ZArith.BinIntDef.html +++ b/master/stdlib/Coq.ZArith.BinIntDef.html @@ -61,7 +61,7 @@

Library Coq.ZArith.BinIntDef

-

Binary Integers, Definitions of Operations

+

Binary Integers, Definitions of Operations

@@ -79,7 +79,7 @@

Library Coq.ZArith.BinIntDef

-

Nicer names Z.pos and Z.neg for constructors

+

Nicer names Z.pos and Z.neg for constructors

@@ -92,7 +92,7 @@

Library Coq.ZArith.BinIntDef

-

Constants

+

Constants

@@ -106,7 +106,7 @@

Library Coq.ZArith.BinIntDef

-

Doubling and variants

+

Doubling and variants

@@ -139,7 +139,7 @@

Library Coq.ZArith.BinIntDef

-

Subtraction of positive into Z

+

Subtraction of positive into Z

@@ -162,7 +162,7 @@

Library Coq.ZArith.BinIntDef

-

Addition

+

Addition

@@ -185,7 +185,7 @@

Library Coq.ZArith.BinIntDef

-

Opposite

+

Opposite

@@ -205,7 +205,7 @@

Library Coq.ZArith.BinIntDef

-

Successor

+

Successor

@@ -217,7 +217,7 @@

Library Coq.ZArith.BinIntDef

-

Predecessor

+

Predecessor

@@ -229,7 +229,7 @@

Library Coq.ZArith.BinIntDef

-

Subtraction

+

Subtraction

@@ -244,7 +244,7 @@

Library Coq.ZArith.BinIntDef

-

Multiplication

+

Multiplication

@@ -267,7 +267,7 @@

Library Coq.ZArith.BinIntDef

-

Power function

+

Power function

@@ -290,7 +290,7 @@

Library Coq.ZArith.BinIntDef

-

Square

+

Square

@@ -307,7 +307,7 @@

Library Coq.ZArith.BinIntDef

-

Comparison

+

Comparison

@@ -333,7 +333,7 @@

Library Coq.ZArith.BinIntDef

-

Sign function

+

Sign function

@@ -412,7 +412,7 @@

Library Coq.ZArith.BinIntDef

-

Minimum and maximum

+

Minimum and maximum

@@ -435,7 +435,7 @@

Library Coq.ZArith.BinIntDef

-

Absolute value

+

Absolute value

@@ -452,7 +452,7 @@

Library Coq.ZArith.BinIntDef

-

Conversions

+

Conversions

@@ -627,7 +627,7 @@

Library Coq.ZArith.BinIntDef

-

Iteration of a function

+

Iteration of a function

@@ -648,7 +648,7 @@

Library Coq.ZArith.BinIntDef

-

Euclidean divisions for binary integers

+

Euclidean divisions for binary integers

@@ -663,7 +663,7 @@

Library Coq.ZArith.BinIntDef

-

Floor division

+

Floor division

@@ -758,7 +758,7 @@

Library Coq.ZArith.BinIntDef

-

Trunc Division

+

Trunc Division

@@ -819,7 +819,7 @@

Library Coq.ZArith.BinIntDef

No infix notation for rem, otherwise it becomes a keyword
-

Parity functions

+

Parity functions

@@ -846,7 +846,7 @@

Library Coq.ZArith.BinIntDef

-

Division by two

+

Division by two

@@ -892,7 +892,7 @@

Library Coq.ZArith.BinIntDef

NB: Z.quot2 used to be named Z.div2 in Coq <= 8.3
-

Base-2 logarithm

+

Base-2 logarithm

@@ -909,7 +909,7 @@

Library Coq.ZArith.BinIntDef

-

Square root

+

Square root

@@ -937,7 +937,7 @@

Library Coq.ZArith.BinIntDef

-

Greatest Common Divisor

+

Greatest Common Divisor

@@ -980,7 +980,7 @@

Library Coq.ZArith.BinIntDef

-

Bitwise functions

+

Bitwise functions

diff --git a/master/stdlib/Coq.ZArith.Int.html b/master/stdlib/Coq.ZArith.Int.html index 32f96c4ffd..2ed949376f 100644 --- a/master/stdlib/Coq.ZArith.Int.html +++ b/master/stdlib/Coq.ZArith.Int.html @@ -49,7 +49,7 @@

Library Coq.ZArith.Int

-

An light axiomatization of integers (used in MSetAVL).

+

An light axiomatization of integers (used in MSetAVL).

@@ -74,7 +74,7 @@

Library Coq.ZArith.Int

-

A specification of integers

+

A specification of integers

@@ -210,7 +210,7 @@

Library Coq.ZArith.Int

-

Facts and tactics using Int

+

Facts and tactics using Int

@@ -564,7 +564,7 @@

Library Coq.ZArith.Int

-

An implementation of Int

+

An implementation of Int

diff --git a/master/stdlib/Coq.ZArith.ZArith_dec.html b/master/stdlib/Coq.ZArith.ZArith_dec.html index ad2ce807a6..6a552f1d23 100644 --- a/master/stdlib/Coq.ZArith.ZArith_dec.html +++ b/master/stdlib/Coq.ZArith.ZArith_dec.html @@ -74,7 +74,7 @@

Library Coq.ZArith.ZArith_dec

-

Decidability of order on binary integers

+

Decidability of order on binary integers

@@ -116,7 +116,7 @@

Library Coq.ZArith.ZArith_dec

-

Cotransitivity of order on binary integers

+

Cotransitivity of order on binary integers

diff --git a/master/stdlib/Coq.ZArith.Zabs.html b/master/stdlib/Coq.ZArith.Zabs.html index cda479bb59..3864fd04d8 100644 --- a/master/stdlib/Coq.ZArith.Zabs.html +++ b/master/stdlib/Coq.ZArith.Zabs.html @@ -74,7 +74,7 @@

Library Coq.ZArith.Zabs

-

Properties of absolute value

+

Properties of absolute value

@@ -92,7 +92,7 @@

Library Coq.ZArith.Zabs

-

Proving a property of the absolute value by cases

+

Proving a property of the absolute value by cases

@@ -117,7 +117,7 @@

Library Coq.ZArith.Zabs

-

Some results about the sign function.

+

Some results about the sign function.

diff --git a/master/stdlib/Coq.ZArith.Zbitwise.html b/master/stdlib/Coq.ZArith.Zbitwise.html index 3a73fa17ca..3037f9b48c 100644 --- a/master/stdlib/Coq.ZArith.Zbitwise.html +++ b/master/stdlib/Coq.ZArith.Zbitwise.html @@ -152,13 +152,13 @@

Library Coq.ZArith.Zbitwise

Explicit formulas for carry bits during addition. Conceptually, the theory -

here matches the bitblasting rules for integers. However, the vector of

+

here matches the bitblasting rules for integers. However, the vector of

-

carry bits is represented as a Z so it can be used in bitwise operations.

+

carry bits is represented as a Z so it can be used in bitwise operations.

-

The last three lemmas about addcarries are the main interface, but the

+

The last three lemmas about addcarries are the main interface, but the

-

generalization adccarries is provided as the same theory applies.

+

generalization adccarries is provided as the same theory applies.

diff --git a/master/stdlib/Coq.ZArith.Zbool.html b/master/stdlib/Coq.ZArith.Zbool.html index bf8118df33..a4e90dab3d 100644 --- a/master/stdlib/Coq.ZArith.Zbool.html +++ b/master/stdlib/Coq.ZArith.Zbool.html @@ -60,7 +60,7 @@

Library Coq.ZArith.Zbool

-

Boolean operations from decidability of order

+

Boolean operations from decidability of order

The decidability of equality and order relations over type Z gives some boolean functions with the adequate specification.
@@ -85,7 +85,7 @@

Library Coq.ZArith.Zbool

-

Boolean comparisons of binary integers

+

Boolean comparisons of binary integers

diff --git a/master/stdlib/Coq.ZArith.Zcompare.html b/master/stdlib/Coq.ZArith.Zcompare.html index 75f598755a..191160ca6e 100644 --- a/master/stdlib/Coq.ZArith.Zcompare.html +++ b/master/stdlib/Coq.ZArith.Zcompare.html @@ -68,7 +68,7 @@

Library Coq.ZArith.Zcompare

-

Comparison on integers

+

Comparison on integers

@@ -83,7 +83,7 @@

Library Coq.ZArith.Zcompare

-

Transitivity of comparison

+

Transitivity of comparison

@@ -100,7 +100,7 @@

Library Coq.ZArith.Zcompare

-

Comparison and opposite

+

Comparison and opposite

@@ -112,7 +112,7 @@

Library Coq.ZArith.Zcompare

-

Comparison first-order specification

+

Comparison first-order specification

@@ -124,7 +124,7 @@

Library Coq.ZArith.Zcompare

-

Comparison and addition

+

Comparison and addition

@@ -146,7 +146,7 @@

Library Coq.ZArith.Zcompare

-

Successor and comparison

+

Successor and comparison

@@ -158,7 +158,7 @@

Library Coq.ZArith.Zcompare

-

Multiplication and comparison

+

Multiplication and comparison

@@ -179,7 +179,7 @@

Library Coq.ZArith.Zcompare

-

Relating x ?= y to =, <=, <, >= or >

+

Relating x ?= y to =, <=, <, >= or >

diff --git a/master/stdlib/Coq.ZArith.Zdiv.html b/master/stdlib/Coq.ZArith.Zdiv.html index a6b013d019..04027ef5cb 100644 --- a/master/stdlib/Coq.ZArith.Zdiv.html +++ b/master/stdlib/Coq.ZArith.Zdiv.html @@ -49,7 +49,7 @@

Library Coq.ZArith.Zdiv

-

Euclidean Division

+

Euclidean Division

@@ -89,7 +89,7 @@

Library Coq.ZArith.Zdiv

-

Main division theorems

+

Main division theorems

@@ -238,7 +238,7 @@

Library Coq.ZArith.Zdiv

-

Basic values of divisions and modulo.

+

Basic values of divisions and modulo.

@@ -294,7 +294,7 @@

Library Coq.ZArith.Zdiv

-

Order results about Z.modulo and Z.div

+

Order results about Z.modulo and Z.div

@@ -452,7 +452,7 @@

Library Coq.ZArith.Zdiv

-

Relations between usual operations and Z.modulo and Z.div

+

Relations between usual operations and Z.modulo and Z.div

@@ -691,7 +691,7 @@

Library Coq.ZArith.Zdiv

-

Compatibility

+

Compatibility

@@ -727,7 +727,7 @@

Library Coq.ZArith.Zdiv

-

A direct way to compute Z.modulo

+

A direct way to compute Z.modulo

@@ -779,9 +779,9 @@

Library Coq.ZArith.Zdiv

Another convention is possible for division by negative numbers: -

quotient is always the biggest integer smaller than or equal to a/b

+

quotient is always the biggest integer smaller than or equal to a/b

-

remainder is hence always positive or null.

+

remainder is hence always positive or null.

diff --git a/master/stdlib/Coq.ZArith.Zeuclid.html b/master/stdlib/Coq.ZArith.Zeuclid.html index b7d9f0a34c..41ed51632e 100644 --- a/master/stdlib/Coq.ZArith.Zeuclid.html +++ b/master/stdlib/Coq.ZArith.Zeuclid.html @@ -53,7 +53,7 @@

Library Coq.ZArith.Zeuclid

-

Definitions of division for binary integers, Euclid convention.

+

Definitions of division for binary integers, Euclid convention.

diff --git a/master/stdlib/Coq.ZArith.Zeven.html b/master/stdlib/Coq.ZArith.Zeven.html index 79725eae2e..81a53b3160 100644 --- a/master/stdlib/Coq.ZArith.Zeven.html +++ b/master/stdlib/Coq.ZArith.Zeven.html @@ -176,7 +176,7 @@

Library Coq.ZArith.Zeven

-

Definition of Z.quot2, Z.div2 and properties wrt Zeven

+

Definition of Z.quot2, Z.div2 and properties wrt Zeven

and Zodd
diff --git a/master/stdlib/Coq.ZArith.Zgcd_alt.html b/master/stdlib/Coq.ZArith.Zgcd_alt.html index 1ace934380..0c2638ac7f 100644 --- a/master/stdlib/Coq.ZArith.Zgcd_alt.html +++ b/master/stdlib/Coq.ZArith.Zgcd_alt.html @@ -49,7 +49,7 @@

Library Coq.ZArith.Zgcd_alt

-

Zgcd_alt : an alternate version of Z.gcd, based on Euclid's algorithm

+

Zgcd_alt : an alternate version of Z.gcd, based on Euclid's algorithm

diff --git a/master/stdlib/Coq.ZArith.Zhints.html b/master/stdlib/Coq.ZArith.Zhints.html index 045949f7cd..eeb95107fc 100644 --- a/master/stdlib/Coq.ZArith.Zhints.html +++ b/master/stdlib/Coq.ZArith.Zhints.html @@ -102,7 +102,7 @@

Library Coq.ZArith.Zhints

-

Simplification lemmas

+

Simplification lemmas

@@ -116,7 +116,7 @@

Library Coq.ZArith.Zhints

  
-

Reversible simplification lemmas (no loss of information)

+

Reversible simplification lemmas (no loss of information)

Should clearly be declared as hints
@@ -171,7 +171,7 @@

Library Coq.ZArith.Zhints

  
-

Irreversible simplification lemmas

+

Irreversible simplification lemmas

Probably to be declared as hints, when no other simplification is possible
diff --git a/master/stdlib/Coq.ZArith.Znat.html b/master/stdlib/Coq.ZArith.Znat.html index 7f88793242..ce9ef6ef67 100644 --- a/master/stdlib/Coq.ZArith.Znat.html +++ b/master/stdlib/Coq.ZArith.Znat.html @@ -95,7 +95,7 @@

Library Coq.ZArith.Znat

-

Chains of conversions

+

Chains of conversions

@@ -148,7 +148,7 @@

Library Coq.ZArith.Znat

-

Conversions between Z and N

+

Conversions between Z and N

@@ -525,7 +525,7 @@

Library Coq.ZArith.Znat

-

Conversions between Z and nat

+

Conversions between Z and nat

diff --git a/master/stdlib/Coq.ZArith.Znumtheory.html b/master/stdlib/Coq.ZArith.Znumtheory.html index 293b6c7a35..b1fde77732 100644 --- a/master/stdlib/Coq.ZArith.Znumtheory.html +++ b/master/stdlib/Coq.ZArith.Znumtheory.html @@ -245,7 +245,7 @@

Library Coq.ZArith.Znumtheory

-

Greatest common divisor (gcd).

+

Greatest common divisor (gcd).

@@ -307,7 +307,7 @@

Library Coq.ZArith.Znumtheory

-

Extended Euclid algorithm.

+

Extended Euclid algorithm.

@@ -395,7 +395,7 @@

Library Coq.ZArith.Znumtheory

-

Bezout's coefficients

+

Bezout's coefficients

@@ -431,7 +431,7 @@

Library Coq.ZArith.Znumtheory

-

Relative primality

+

Relative primality

@@ -525,7 +525,7 @@

Library Coq.ZArith.Znumtheory

-

Primality

+

Primality

diff --git a/master/stdlib/Coq.ZArith.Zorder.html b/master/stdlib/Coq.ZArith.Zorder.html index 5069b9fbaf..7b0714b072 100644 --- a/master/stdlib/Coq.ZArith.Zorder.html +++ b/master/stdlib/Coq.ZArith.Zorder.html @@ -71,7 +71,7 @@

Library Coq.ZArith.Zorder

Properties of the order relations on binary integers
-

Trichotomy

+

Trichotomy

@@ -86,7 +86,7 @@

Library Coq.ZArith.Zorder

-

Decidability of equality and order on Z

+

Decidability of equality and order on Z

@@ -112,7 +112,7 @@

Library Coq.ZArith.Zorder

-

Relating strict and large orders

+

Relating strict and large orders

@@ -152,7 +152,7 @@

Library Coq.ZArith.Zorder

-

Equivalence and order properties

+

Equivalence and order properties

@@ -276,11 +276,11 @@

Library Coq.ZArith.Zorder

-

Compatibility of order and operations on Z

+

Compatibility of order and operations on Z

-

Successor

+

Successor

@@ -458,7 +458,7 @@

Library Coq.ZArith.Zorder

-

Addition

+

Addition

Compatibility of addition wrt to order
@@ -528,7 +528,7 @@

Library Coq.ZArith.Zorder

-

Multiplication

+

Multiplication

Compatibility of multiplication by a positive wrt to order
@@ -656,7 +656,7 @@

Library Coq.ZArith.Zorder

-

Square

+

Square

Simplification of square wrt order
@@ -671,7 +671,7 @@

Library Coq.ZArith.Zorder

-

Equivalence between inequalities

+

Equivalence between inequalities

diff --git a/master/stdlib/Coq.ZArith.Zpow_def.html b/master/stdlib/Coq.ZArith.Zpow_def.html index 7c1abefa99..d07a7f43bc 100644 --- a/master/stdlib/Coq.ZArith.Zpow_def.html +++ b/master/stdlib/Coq.ZArith.Zpow_def.html @@ -53,7 +53,7 @@

Library Coq.ZArith.Zpow_def

-

Power functions over Z

+

Power functions over Z

diff --git a/master/stdlib/Coq.ZArith.Zpow_facts.html b/master/stdlib/Coq.ZArith.Zpow_facts.html index 53b9424beb..5ed2b201a2 100644 --- a/master/stdlib/Coq.ZArith.Zpow_facts.html +++ b/master/stdlib/Coq.ZArith.Zpow_facts.html @@ -132,7 +132,7 @@

Library Coq.ZArith.Zpow_facts

-

Z.pow and modulo

+

Z.pow and modulo

@@ -208,7 +208,7 @@

Library Coq.ZArith.Zpow_facts

-

Z.square: a direct definition of z^2

+

Z.square: a direct definition of z^2

diff --git a/master/stdlib/Coq.ZArith.Zpower.html b/master/stdlib/Coq.ZArith.Zpower.html index f99f5faefb..eacdc5412e 100644 --- a/master/stdlib/Coq.ZArith.Zpower.html +++ b/master/stdlib/Coq.ZArith.Zpower.html @@ -54,7 +54,7 @@

Library Coq.ZArith.Zpower

-

Power functions over Z

+

Power functions over Z

@@ -154,7 +154,7 @@

Library Coq.ZArith.Zpower

-

Powers of 2

+

Powers of 2

@@ -283,7 +283,7 @@

Library Coq.ZArith.Zpower

-

Division by a power of two.

+

Division by a power of two.

diff --git a/master/stdlib/Coq.ZArith.Zquot.html b/master/stdlib/Coq.ZArith.Zquot.html index f30d786189..30a1d68a91 100644 --- a/master/stdlib/Coq.ZArith.Zquot.html +++ b/master/stdlib/Coq.ZArith.Zquot.html @@ -153,7 +153,7 @@

Library Coq.ZArith.Zquot

-

Division and Opposite

+

Division and Opposite

@@ -232,7 +232,7 @@

Library Coq.ZArith.Zquot

-

Unicity results

+

Unicity results

@@ -265,7 +265,7 @@

Library Coq.ZArith.Zquot

-

Order results about Zrem and Zquot

+

Order results about Zrem and Zquot

@@ -363,7 +363,7 @@

Library Coq.ZArith.Zquot

-

Relations between usual operations and Z.modulo and Z.div

+

Relations between usual operations and Z.modulo and Z.div

@@ -527,7 +527,7 @@

Library Coq.ZArith.Zquot

-

Interaction with "historic" Zdiv

+

Interaction with "historic" Zdiv

diff --git a/master/stdlib/Coq.ZArith.auxiliary.html b/master/stdlib/Coq.ZArith.auxiliary.html index 4a0407d461..866b591694 100644 --- a/master/stdlib/Coq.ZArith.auxiliary.html +++ b/master/stdlib/Coq.ZArith.auxiliary.html @@ -68,7 +68,7 @@

Library Coq.ZArith.auxiliary

-

Moving terms from one side to the other of an inequality

+

Moving terms from one side to the other of an inequality

diff --git a/master/stdlib/Coq.btauto.Algebra.html b/master/stdlib/Coq.btauto.Algebra.html index f3777d26c4..e40def9044 100644 --- a/master/stdlib/Coq.btauto.Algebra.html +++ b/master/stdlib/Coq.btauto.Algebra.html @@ -144,7 +144,7 @@

Library Coq.btauto.Algebra

-

Global, inductive definitions.

+

Global, inductive definitions.

@@ -217,7 +217,7 @@

Library Coq.btauto.Algebra

-

The core reflexive part.

+

The core reflexive part.

diff --git a/master/stdlib/Coq.extraction.ExtrHaskellNatInt.html b/master/stdlib/Coq.extraction.ExtrHaskellNatInt.html index 128f4e0a86..79e46f4908 100644 --- a/master/stdlib/Coq.extraction.ExtrHaskellNatInt.html +++ b/master/stdlib/Coq.extraction.ExtrHaskellNatInt.html @@ -62,11 +62,11 @@

Library Coq.extraction.ExtrHaskellNatInt

-

Disclaimer: trying to obtain efficient certified programs

+

Disclaimer: trying to obtain efficient certified programs

-

by extracting nat into Int is definitively *not* a good idea.

+

by extracting nat into Int is definitively *not* a good idea.

-

See comments in ExtrOcamlNatInt.v.

+

See comments in ExtrOcamlNatInt.v.

diff --git a/master/stdlib/Coq.extraction.ExtrHaskellNatInteger.html b/master/stdlib/Coq.extraction.ExtrHaskellNatInteger.html index 0196a3fd86..7488376d51 100644 --- a/master/stdlib/Coq.extraction.ExtrHaskellNatInteger.html +++ b/master/stdlib/Coq.extraction.ExtrHaskellNatInteger.html @@ -62,11 +62,11 @@

Library Coq.extraction.ExtrHaskellNatInteger

-

Disclaimer: trying to obtain efficient certified programs

+

Disclaimer: trying to obtain efficient certified programs

-

by extracting nat into Integer isn't necessarily a good idea.

+

by extracting nat into Integer isn't necessarily a good idea.

-

See comments in ExtrOcamlNatInt.v.

+

See comments in ExtrOcamlNatInt.v.

diff --git a/master/stdlib/Coq.extraction.ExtrHaskellNatNum.html b/master/stdlib/Coq.extraction.ExtrHaskellNatNum.html index a10f49a1f9..b35f8f2b4f 100644 --- a/master/stdlib/Coq.extraction.ExtrHaskellNatNum.html +++ b/master/stdlib/Coq.extraction.ExtrHaskellNatNum.html @@ -47,15 +47,15 @@

Library Coq.extraction.ExtrHaskellNatNum

-

Efficient (but uncertified) extraction of usual nat functions

+

Efficient (but uncertified) extraction of usual nat functions

-

into equivalent versions in Haskell's Prelude that are defined

+

into equivalent versions in Haskell's Prelude that are defined

-

for any Num typeclass instances. Useful in combination with

+

for any Num typeclass instances. Useful in combination with

-

Extract Inductive nat that maps nat onto a Haskell type that

+

Extract Inductive nat that maps nat onto a Haskell type that

-

implements Num.

+

implements Num.

diff --git a/master/stdlib/Coq.extraction.ExtrHaskellString.html b/master/stdlib/Coq.extraction.ExtrHaskellString.html index baf167b971..1b4c229254 100644 --- a/master/stdlib/Coq.extraction.ExtrHaskellString.html +++ b/master/stdlib/Coq.extraction.ExtrHaskellString.html @@ -47,7 +47,7 @@

Library Coq.extraction.ExtrHaskellString

-

Special handling of ascii and strings for extraction to Haskell.

+

Special handling of ascii and strings for extraction to Haskell.

@@ -68,16 +68,16 @@

Library Coq.extraction.ExtrHaskellString

-

At the moment, Coq's extraction has no way to add extra import

+

At the moment, Coq's extraction has no way to add extra import

-

statements to the extracted Haskell code. You will have to

+

statements to the extracted Haskell code. You will have to

-

manually add:

+

manually add:

* -

import qualified Data.Bits

+

import qualified Data.Bits

-

import qualified Data.Char

+

import qualified Data.Char

diff --git a/master/stdlib/Coq.extraction.ExtrHaskellZInt.html b/master/stdlib/Coq.extraction.ExtrHaskellZInt.html index 94705b9cf6..59d8de156c 100644 --- a/master/stdlib/Coq.extraction.ExtrHaskellZInt.html +++ b/master/stdlib/Coq.extraction.ExtrHaskellZInt.html @@ -62,11 +62,11 @@

Library Coq.extraction.ExtrHaskellZInt

-

Disclaimer: trying to obtain efficient certified programs

+

Disclaimer: trying to obtain efficient certified programs

-

by extracting Z into Int is definitively *not* a good idea.

+

by extracting Z into Int is definitively *not* a good idea.

-

See comments in ExtrOcamlNatInt.v.

+

See comments in ExtrOcamlNatInt.v.

diff --git a/master/stdlib/Coq.extraction.ExtrHaskellZNum.html b/master/stdlib/Coq.extraction.ExtrHaskellZNum.html index 1bde8c0134..7af5d8cd1a 100644 --- a/master/stdlib/Coq.extraction.ExtrHaskellZNum.html +++ b/master/stdlib/Coq.extraction.ExtrHaskellZNum.html @@ -47,15 +47,15 @@

Library Coq.extraction.ExtrHaskellZNum

-

Efficient (but uncertified) extraction of usual Z functions

+

Efficient (but uncertified) extraction of usual Z functions

-

into equivalent versions in Haskell's Prelude that are defined

+

into equivalent versions in Haskell's Prelude that are defined

-

for any Num typeclass instances. Useful in combination with

+

for any Num typeclass instances. Useful in combination with

-

Extract Inductive Z that maps Z onto a Haskell type that

+

Extract Inductive Z that maps Z onto a Haskell type that

-

implements Num.

+

implements Num.

diff --git a/master/stdlib/Coq.omega.PreOmega.html b/master/stdlib/Coq.omega.PreOmega.html index 04a968d5c8..272730b54f 100644 --- a/master/stdlib/Coq.omega.PreOmega.html +++ b/master/stdlib/Coq.omega.PreOmega.html @@ -55,7 +55,7 @@

Library Coq.omega.PreOmega

-

Z.div_mod_to_equations, Z.quot_rem_to_equations, Z.to_euclidean_division_equations:

+

Z.div_mod_to_equations, Z.quot_rem_to_equations, Z.to_euclidean_division_equations:

the tactics for preprocessing Z.div and Z.modulo, Z.quot and Z.rem
diff --git a/master/stdlib/Ltac2.Bool.html b/master/stdlib/Ltac2.Bool.html index 63daddf711..f53a766082 100644 --- a/master/stdlib/Ltac2.Bool.html +++ b/master/stdlib/Ltac2.Bool.html @@ -52,7 +52,7 @@

Library Ltac2.Bool

-

Boolean operators

+

Boolean operators

@@ -119,7 +119,7 @@

Library Ltac2.Bool

-

Boolean operators with lazy evaluation of the second argument

+

Boolean operators with lazy evaluation of the second argument

diff --git a/master/stdlib/index_global_T.html b/master/stdlib/index_global_T.html index ee02c8c2bf..dba2391f39 100644 --- a/master/stdlib/index_global_T.html +++ b/master/stdlib/index_global_T.html @@ -529,8 +529,8 @@ t [abbreviation, in Coq.micromega.VarMap]
t [inductive, in Coq.micromega.VarMap]
t [inductive, in Coq.Vectors.VectorDef]
-Tactics [library]
Tactics [library]
+Tactics [library]
tactic_view [constructor, in Coq.ssr.ssreflect]
Tadd [definition, in Coq.rtauto.Bintree]
tag [definition, in Coq.ssr.ssrfun]
diff --git a/master/stdlib/index_global_W.html b/master/stdlib/index_global_W.html index 16a60b02bb..e4c1431416 100644 --- a/master/stdlib/index_global_W.html +++ b/master/stdlib/index_global_W.html @@ -958,8 +958,8 @@ WEqProperties_fun.Add [definition, in Coq.FSets.FSetEqProperties]
WEqProperties_fun.MP [module, in Coq.FSets.FSetEqProperties]
WEqProperties_fun [module, in Coq.FSets.FSetEqProperties]
-Wf [library]
Wf [library]
+Wf [library]
WFacts [module, in Coq.FSets.FMapFacts]
WFacts [module, in Coq.MSets.MSetFacts]
WFacts [module, in Coq.FSets.FSetFacts]
diff --git a/master/stdlib/index_library_T.html b/master/stdlib/index_library_T.html index d5e9b78c59..ab2a79df10 100644 --- a/master/stdlib/index_library_T.html +++ b/master/stdlib/index_library_T.html @@ -524,8 +524,8 @@

T (library)

-Tactics
Tactics
+Tactics
Tauto
Tauto
Transitive_Closure
diff --git a/master/stdlib/index_library_W.html b/master/stdlib/index_library_W.html index 4383c7f3ba..13dd8bdae2 100644 --- a/master/stdlib/index_library_W.html +++ b/master/stdlib/index_library_W.html @@ -527,8 +527,8 @@ WeakFan
Wellfounded
Well_Ordering
-Wf
Wf
+Wf
Wf_nat
Wf_Z
WKL