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database.ml
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database.ml
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needs "help.ml";;
theorems :=
[
"ABSORPTION",ABSORPTION;
"ABS_SIMP",ABS_SIMP;
"ADD",ADD;
"ADD1",ADD1;
"ADD_0",ADD_0;
"ADD_AC",ADD_AC;
"ADD_ASSOC",ADD_ASSOC;
"ADD_CLAUSES",ADD_CLAUSES;
"ADD_EQ_0",ADD_EQ_0;
"ADD_SUB",ADD_SUB;
"ADD_SUB2",ADD_SUB2;
"ADD_SUBR",ADD_SUBR;
"ADD_SUBR2",ADD_SUBR2;
"ADD_SUC",ADD_SUC;
"ADD_SYM",ADD_SYM;
"ADMISSIBLE_BASE",ADMISSIBLE_BASE;
"ADMISSIBLE_COMB",ADMISSIBLE_COMB;
"ADMISSIBLE_COND",ADMISSIBLE_COND;
"ADMISSIBLE_CONST",ADMISSIBLE_CONST;
"ADMISSIBLE_GUARDED_PATTERN",ADMISSIBLE_GUARDED_PATTERN;
"ADMISSIBLE_IMP_SUPERADMISSIBLE",ADMISSIBLE_IMP_SUPERADMISSIBLE;
"ADMISSIBLE_LAMBDA",ADMISSIBLE_LAMBDA;
"ADMISSIBLE_MAP",ADMISSIBLE_MAP;
"ADMISSIBLE_MATCH",ADMISSIBLE_MATCH;
"ADMISSIBLE_MATCH_SEQPATTERN",ADMISSIBLE_MATCH_SEQPATTERN;
"ADMISSIBLE_NEST",ADMISSIBLE_NEST;
"ADMISSIBLE_NSUM",ADMISSIBLE_NSUM;
"ADMISSIBLE_RAND",ADMISSIBLE_RAND;
"ADMISSIBLE_SEQPATTERN",ADMISSIBLE_SEQPATTERN;
"ADMISSIBLE_SUM",ADMISSIBLE_SUM;
"ADMISSIBLE_UNGUARDED_PATTERN",ADMISSIBLE_UNGUARDED_PATTERN;
"ALL",ALL;
"ALL2",ALL2;
"ALL2_ALL",ALL2_ALL;
"ALL2_AND_RIGHT",ALL2_AND_RIGHT;
"ALL2_DEF",ALL2_DEF;
"ALL2_MAP",ALL2_MAP;
"ALL2_MAP2",ALL2_MAP2;
"ALLPAIRS",ALLPAIRS;
"ALLPAIRS_EQ",ALLPAIRS_EQ;
"ALLPAIRS_MAP",ALLPAIRS_MAP;
"ALLPAIRS_MEM",ALLPAIRS_MEM;
"ALLPAIRS_SYM",ALLPAIRS_SYM;
"ALL_APPEND",ALL_APPEND;
"ALL_EL",ALL_EL;
"ALL_EQ",ALL_EQ;
"ALL_FILTER",ALL_FILTER;
"ALL_IMP",ALL_IMP;
"ALL_MAP",ALL_MAP;
"ALL_MEM",ALL_MEM;
"ALL_MP",ALL_MP;
"ALL_T",ALL_T;
"AND_ALL",AND_ALL;
"AND_ALL2",AND_ALL2;
"AND_CLAUSES",AND_CLAUSES;
"AND_DEF",AND_DEF;
"AND_FORALL_THM",AND_FORALL_THM;
"APPEND",APPEND;
"APPEND_ASSOC",APPEND_ASSOC;
"APPEND_BUTLAST_LAST",APPEND_BUTLAST_LAST;
"APPEND_EQ_NIL",APPEND_EQ_NIL;
"APPEND_LCANCEL",APPEND_LCANCEL;
"APPEND_NIL",APPEND_NIL;
"APPEND_RCANCEL",APPEND_RCANCEL;
"APPEND_SING",APPEND_SING;
"ARB",ARB;
"ARBITRARY",ARBITRARY;
"ARBITRARY_INTERSECTION_OF_COMPLEMENT",ARBITRARY_INTERSECTION_OF_COMPLEMENT;
"ARBITRARY_INTERSECTION_OF_EMPTY",ARBITRARY_INTERSECTION_OF_EMPTY;
"ARBITRARY_INTERSECTION_OF_IDEMPOT",ARBITRARY_INTERSECTION_OF_IDEMPOT;
"ARBITRARY_INTERSECTION_OF_INC",ARBITRARY_INTERSECTION_OF_INC;
"ARBITRARY_INTERSECTION_OF_INTER",ARBITRARY_INTERSECTION_OF_INTER;
"ARBITRARY_INTERSECTION_OF_INTERS",ARBITRARY_INTERSECTION_OF_INTERS;
"ARBITRARY_INTERSECTION_OF_UNION",ARBITRARY_INTERSECTION_OF_UNION;
"ARBITRARY_INTERSECTION_OF_UNION_EQ",ARBITRARY_INTERSECTION_OF_UNION_EQ;
"ARBITRARY_UNION_OF_ALT",ARBITRARY_UNION_OF_ALT;
"ARBITRARY_UNION_OF_COMPLEMENT",ARBITRARY_UNION_OF_COMPLEMENT;
"ARBITRARY_UNION_OF_EMPTY",ARBITRARY_UNION_OF_EMPTY;
"ARBITRARY_UNION_OF_IDEMPOT",ARBITRARY_UNION_OF_IDEMPOT;
"ARBITRARY_UNION_OF_INC",ARBITRARY_UNION_OF_INC;
"ARBITRARY_UNION_OF_INTER",ARBITRARY_UNION_OF_INTER;
"ARBITRARY_UNION_OF_INTER_EQ",ARBITRARY_UNION_OF_INTER_EQ;
"ARBITRARY_UNION_OF_UNION",ARBITRARY_UNION_OF_UNION;
"ARBITRARY_UNION_OF_UNIONS",ARBITRARY_UNION_OF_UNIONS;
"ARITH",ARITH;
"ARITH_ADD",ARITH_ADD;
"ARITH_EQ",ARITH_EQ;
"ARITH_EVEN",ARITH_EVEN;
"ARITH_EXP",ARITH_EXP;
"ARITH_GE",ARITH_GE;
"ARITH_GT",ARITH_GT;
"ARITH_LE",ARITH_LE;
"ARITH_LT",ARITH_LT;
"ARITH_MULT",ARITH_MULT;
"ARITH_ODD",ARITH_ODD;
"ARITH_PRE",ARITH_PRE;
"ARITH_SUB",ARITH_SUB;
"ARITH_SUC",ARITH_SUC;
"ARITH_ZERO",ARITH_ZERO;
"ASSOC",ASSOC;
"BETA_THM",BETA_THM;
"BIJ",BIJ;
"BIJECTIONS_CARD_EQ",BIJECTIONS_CARD_EQ;
"BIJECTIONS_HAS_SIZE",BIJECTIONS_HAS_SIZE;
"BIJECTIONS_HAS_SIZE_EQ",BIJECTIONS_HAS_SIZE_EQ;
"BIJECTIVE_LEFT_RIGHT_INVERSE",BIJECTIVE_LEFT_RIGHT_INVERSE;
"BIJECTIVE_ON_LEFT_RIGHT_INVERSE",BIJECTIVE_ON_LEFT_RIGHT_INVERSE;
"BINARY_INDUCT",BINARY_INDUCT;
"BIT0",BIT0;
"BIT0_0",BIT0_0;
"BIT0_DEF",BIT0_DEF;
"BIT0_THM",BIT0_THM;
"BIT1",BIT1;
"BIT1_0",BIT1_0;
"BIT1_DEF",BIT1_DEF;
"BIT1_THM",BIT1_THM;
"BOOL_CASES_AX",BOOL_CASES_AX;
"BOTTOM",BOTTOM;
"BOUNDS_DIVIDED",BOUNDS_DIVIDED;
"BOUNDS_IGNORE",BOUNDS_IGNORE;
"BOUNDS_LINEAR",BOUNDS_LINEAR;
"BOUNDS_LINEAR_0",BOUNDS_LINEAR_0;
"BOUNDS_NOTZERO",BOUNDS_NOTZERO;
"BUTLAST",BUTLAST;
"BUTLAST_APPEND",BUTLAST_APPEND;
"BUTLAST_CLAUSES",BUTLAST_CLAUSES;
"CARD",CARD;
"CARD_BOOL",CARD_BOOL;
"CARD_CART_UNIV",CARD_CART_UNIV;
"CARD_CLAUSES",CARD_CLAUSES;
"CARD_CROSS",CARD_CROSS;
"CARD_DELETE",CARD_DELETE;
"CARD_DIFF",CARD_DIFF;
"CARD_EQ_0",CARD_EQ_0;
"CARD_EQ_BIJECTION",CARD_EQ_BIJECTION;
"CARD_EQ_BIJECTIONS",CARD_EQ_BIJECTIONS;
"CARD_EQ_BIJECTIONS_SPECIAL",CARD_EQ_BIJECTIONS_SPECIAL;
"CARD_EQ_NSUM",CARD_EQ_NSUM;
"CARD_EQ_SUM",CARD_EQ_SUM;
"CARD_FINITE_IMAGE",CARD_FINITE_IMAGE;
"CARD_FUNSPACE",CARD_FUNSPACE;
"CARD_FUNSPACE_UNIV",CARD_FUNSPACE_UNIV;
"CARD_IMAGE_EQ_INJ",CARD_IMAGE_EQ_INJ;
"CARD_IMAGE_INJ",CARD_IMAGE_INJ;
"CARD_IMAGE_INJ_EQ",CARD_IMAGE_INJ_EQ;
"CARD_IMAGE_LE",CARD_IMAGE_LE;
"CARD_LE_1",CARD_LE_1;
"CARD_LE_INJ",CARD_LE_INJ;
"CARD_LE_UNIONS_CHAIN",CARD_LE_UNIONS_CHAIN;
"CARD_NUMSEG",CARD_NUMSEG;
"CARD_NUMSEG_1",CARD_NUMSEG_1;
"CARD_NUMSEG_LE",CARD_NUMSEG_LE;
"CARD_NUMSEG_LEMMA",CARD_NUMSEG_LEMMA;
"CARD_NUMSEG_LT",CARD_NUMSEG_LT;
"CARD_POWERSET",CARD_POWERSET;
"CARD_PRODUCT",CARD_PRODUCT;
"CARD_PSUBSET",CARD_PSUBSET;
"CARD_PSUBSET_EQ",CARD_PSUBSET_EQ;
"CARD_PSUBSET_IMP",CARD_PSUBSET_IMP;
"CARD_SET_OF_LIST_LE",CARD_SET_OF_LIST_LE;
"CARD_SING",CARD_SING;
"CARD_SUBSET",CARD_SUBSET;
"CARD_SUBSET_EQ",CARD_SUBSET_EQ;
"CARD_SUBSET_IMAGE",CARD_SUBSET_IMAGE;
"CARD_SUBSET_LE",CARD_SUBSET_LE;
"CARD_UNION",CARD_UNION;
"CARD_UNIONS",CARD_UNIONS;
"CARD_UNIONS_LE",CARD_UNIONS_LE;
"CARD_UNION_EQ",CARD_UNION_EQ;
"CARD_UNION_GEN",CARD_UNION_GEN;
"CARD_UNION_LE",CARD_UNION_LE;
"CARD_UNION_OVERLAP",CARD_UNION_OVERLAP;
"CARD_UNION_OVERLAP_EQ",CARD_UNION_OVERLAP_EQ;
"CARTESIAN_PRODUCT",CARTESIAN_PRODUCT;
"CARTESIAN_PRODUCT_AS_RESTRICTIONS",CARTESIAN_PRODUCT_AS_RESTRICTIONS;
"CARTESIAN_PRODUCT_EMPTY",CARTESIAN_PRODUCT_EMPTY;
"CARTESIAN_PRODUCT_EQ",CARTESIAN_PRODUCT_EQ;
"CARTESIAN_PRODUCT_EQ_EMPTY",CARTESIAN_PRODUCT_EQ_EMPTY;
"CARTESIAN_PRODUCT_EQ_MEMBERS",CARTESIAN_PRODUCT_EQ_MEMBERS;
"CARTESIAN_PRODUCT_EQ_MEMBERS_EQ",CARTESIAN_PRODUCT_EQ_MEMBERS_EQ;
"CARTESIAN_PRODUCT_SINGS",CARTESIAN_PRODUCT_SINGS;
"CARTESIAN_PRODUCT_SINGS_GEN",CARTESIAN_PRODUCT_SINGS_GEN;
"CARTESIAN_PRODUCT_UNIV",CARTESIAN_PRODUCT_UNIV;
"CART_EQ",CART_EQ;
"CART_EQ_FULL",CART_EQ_FULL;
"CASEWISE",CASEWISE;
"CASEWISE_CASES",CASEWISE_CASES;
"CASEWISE_DEF",CASEWISE_DEF;
"CASEWISE_WORKS",CASEWISE_WORKS;
"CHOICE",CHOICE;
"CHOICE_DEF",CHOICE_DEF;
"CHOICE_PAIRED_THM",CHOICE_PAIRED_THM;
"CHOICE_UNPAIR_THM",CHOICE_UNPAIR_THM;
"CHOOSE_SUBSET",CHOOSE_SUBSET;
"CHOOSE_SUBSET_BETWEEN",CHOOSE_SUBSET_BETWEEN;
"CHOOSE_SUBSET_EQ",CHOOSE_SUBSET_EQ;
"CHOOSE_SUBSET_STRONG",CHOOSE_SUBSET_STRONG;
"COMMA_DEF",COMMA_DEF;
"COMPL_COMPL",COMPL_COMPL;
"COMPONENT",COMPONENT;
"COND_ABS",COND_ABS;
"COND_CLAUSES",COND_CLAUSES;
"COND_DEF",COND_DEF;
"COND_ELIM_THM",COND_ELIM_THM;
"COND_EXPAND",COND_EXPAND;
"COND_ID",COND_ID;
"COND_RAND",COND_RAND;
"COND_RATOR",COND_RATOR;
"COND_SWAP",COND_SWAP;
"CONG",CONG;
"CONG_DIV2",CONG_DIV2;
"CONG_LMOD",CONG_LMOD;
"CONG_NSUM",CONG_NSUM;
"CONG_RMOD",CONG_RMOD;
"CONJ_ACI",CONJ_ACI;
"CONJ_ASSOC",CONJ_ASSOC;
"CONJ_SYM",CONJ_SYM;
"CONSTR",CONSTR;
"CONSTR_BOT",CONSTR_BOT;
"CONSTR_IND",CONSTR_IND;
"CONSTR_INJ",CONSTR_INJ;
"CONSTR_REC",CONSTR_REC;
"CONS_11",CONS_11;
"CONS_HD_TL",CONS_HD_TL;
"CONTRAPOS_THM",CONTRAPOS_THM;
"COPRIME_LMOD",COPRIME_LMOD;
"COPRIME_RMOD",COPRIME_RMOD;
"COUNTABLE",COUNTABLE;
"CROSS",CROSS;
"CROSS_DIFF",CROSS_DIFF;
"CROSS_EMPTY",CROSS_EMPTY;
"CROSS_EQ",CROSS_EQ;
"CROSS_EQ_EMPTY",CROSS_EQ_EMPTY;
"CROSS_INTER",CROSS_INTER;
"CROSS_INTERS",CROSS_INTERS;
"CROSS_INTERS_INTERS",CROSS_INTERS_INTERS;
"CROSS_MONO",CROSS_MONO;
"CROSS_SING",CROSS_SING;
"CROSS_UNION",CROSS_UNION;
"CROSS_UNIONS",CROSS_UNIONS;
"CROSS_UNIONS_UNIONS",CROSS_UNIONS_UNIONS;
"CROSS_UNIV",CROSS_UNIV;
"CURRY_DEF",CURRY_DEF;
"DECIMAL",DECIMAL;
"DECOMPOSITION",DECOMPOSITION;
"DELETE",DELETE;
"DELETE_COMM",DELETE_COMM;
"DELETE_DELETE",DELETE_DELETE;
"DELETE_INSERT",DELETE_INSERT;
"DELETE_INTER",DELETE_INTER;
"DELETE_NON_ELEMENT",DELETE_NON_ELEMENT;
"DELETE_SUBSET",DELETE_SUBSET;
"DEPENDENT_CHOICE",DEPENDENT_CHOICE;
"DEPENDENT_CHOICE_FIXED",DEPENDENT_CHOICE_FIXED;
"DEST_REC_INJ",DEST_REC_INJ;
"DE_MORGAN_THM",DE_MORGAN_THM;
"DIFF",DIFF;
"DIFF_DIFF",DIFF_DIFF;
"DIFF_EMPTY",DIFF_EMPTY;
"DIFF_EQ_EMPTY",DIFF_EQ_EMPTY;
"DIFF_INSERT",DIFF_INSERT;
"DIFF_INTERS",DIFF_INTERS;
"DIFF_RESTRICT",DIFF_RESTRICT;
"DIFF_UNIONS",DIFF_UNIONS;
"DIFF_UNIONS_NONEMPTY",DIFF_UNIONS_NONEMPTY;
"DIFF_UNIONS_PAIRWISE_DISJOINT",DIFF_UNIONS_PAIRWISE_DISJOINT;
"DIFF_UNIV",DIFF_UNIV;
"DIMINDEX_1",DIMINDEX_1;
"DIMINDEX_2",DIMINDEX_2;
"DIMINDEX_3",DIMINDEX_3;
"DIMINDEX_4",DIMINDEX_4;
"DIMINDEX_CLAUSES",DIMINDEX_CLAUSES;
"DIMINDEX_FINITE_DIFF",DIMINDEX_FINITE_DIFF;
"DIMINDEX_FINITE_IMAGE",DIMINDEX_FINITE_IMAGE;
"DIMINDEX_FINITE_PROD",DIMINDEX_FINITE_PROD;
"DIMINDEX_FINITE_SUM",DIMINDEX_FINITE_SUM;
"DIMINDEX_GE_1",DIMINDEX_GE_1;
"DIMINDEX_HAS_SIZE_FINITE_DIFF",DIMINDEX_HAS_SIZE_FINITE_DIFF;
"DIMINDEX_HAS_SIZE_FINITE_PROD",DIMINDEX_HAS_SIZE_FINITE_PROD;
"DIMINDEX_HAS_SIZE_FINITE_SUM",DIMINDEX_HAS_SIZE_FINITE_SUM;
"DIMINDEX_NONZERO",DIMINDEX_NONZERO;
"DIMINDEX_TYBIT0",DIMINDEX_TYBIT0;
"DIMINDEX_TYBIT1",DIMINDEX_TYBIT1;
"DIMINDEX_UNIQUE",DIMINDEX_UNIQUE;
"DIMINDEX_UNIV",DIMINDEX_UNIV;
"DISJOINT",DISJOINT;
"DISJOINT_CROSS",DISJOINT_CROSS;
"DISJOINT_DELETE_SYM",DISJOINT_DELETE_SYM;
"DISJOINT_DISJOINT_UNION",DISJOINT_DISJOINT_UNION;
"DISJOINT_EMPTY",DISJOINT_EMPTY;
"DISJOINT_EMPTY_REFL",DISJOINT_EMPTY_REFL;
"DISJOINT_INSERT",DISJOINT_INSERT;
"DISJOINT_NUMSEG",DISJOINT_NUMSEG;
"DISJOINT_PCROSS",DISJOINT_PCROSS;
"DISJOINT_SING",DISJOINT_SING;
"DISJOINT_SYM",DISJOINT_SYM;
"DISJOINT_UNION",DISJOINT_UNION;
"DISJOINT_UNION_EQ",DISJOINT_UNION_EQ;
"DISJOINT_UNION_EQ_EMPTY",DISJOINT_UNION_EQ_EMPTY;
"DISJ_ACI",DISJ_ACI;
"DISJ_ASSOC",DISJ_ASSOC;
"DISJ_SYM",DISJ_SYM;
"DIST_ADD2",DIST_ADD2;
"DIST_ADD2_REV",DIST_ADD2_REV;
"DIST_ADDBOUND",DIST_ADDBOUND;
"DIST_ELIM_THM",DIST_ELIM_THM;
"DIST_EQ_0",DIST_EQ_0;
"DIST_LADD",DIST_LADD;
"DIST_LADD_0",DIST_LADD_0;
"DIST_LE_CASES",DIST_LE_CASES;
"DIST_LMUL",DIST_LMUL;
"DIST_LZERO",DIST_LZERO;
"DIST_RADD",DIST_RADD;
"DIST_RADD_0",DIST_RADD_0;
"DIST_REFL",DIST_REFL;
"DIST_RMUL",DIST_RMUL;
"DIST_RZERO",DIST_RZERO;
"DIST_SYM",DIST_SYM;
"DIST_TRIANGLE",DIST_TRIANGLE;
"DIST_TRIANGLES_LE",DIST_TRIANGLES_LE;
"DIST_TRIANGLE_LE",DIST_TRIANGLE_LE;
"DIVIDES_ANTISYM",DIVIDES_ANTISYM;
"DIVIDES_DIVIDES_DIV",DIVIDES_DIVIDES_DIV;
"DIVIDES_DIVIDES_DIV_EQ",DIVIDES_DIVIDES_DIV_EQ;
"DIVIDES_DIVIDES_DIV_IMP",DIVIDES_DIVIDES_DIV_IMP;
"DIVIDES_DIV_DIVIDES",DIVIDES_DIV_DIVIDES;
"DIVIDES_DIV_MULT",DIVIDES_DIV_MULT;
"DIVIDES_DIV_SELF",DIVIDES_DIV_SELF;
"DIVIDES_LE",DIVIDES_LE;
"DIVIDES_LE_IMP",DIVIDES_LE_IMP;
"DIVIDES_LE_STRONG",DIVIDES_LE_STRONG;
"DIVIDES_MOD",DIVIDES_MOD;
"DIVIDES_ONE",DIVIDES_ONE;
"DIVISION",DIVISION;
"DIVISION_0",DIVISION_0;
"DIVISION_SIMP",DIVISION_SIMP;
"DIVMOD_ELIM_THM",DIVMOD_ELIM_THM;
"DIVMOD_ELIM_THM'",DIVMOD_ELIM_THM';
"DIVMOD_EXIST",DIVMOD_EXIST;
"DIVMOD_EXIST_0",DIVMOD_EXIST_0;
"DIVMOD_UNIQ",DIVMOD_UNIQ;
"DIVMOD_UNIQ_LEMMA",DIVMOD_UNIQ_LEMMA;
"DIV_0",DIV_0;
"DIV_1",DIV_1;
"DIV_ADD",DIV_ADD;
"DIV_ADD_MOD",DIV_ADD_MOD;
"DIV_BY_DIV",DIV_BY_DIV;
"DIV_DIV",DIV_DIV;
"DIV_EQ_0",DIV_EQ_0;
"DIV_EQ_EXCLUSION",DIV_EQ_EXCLUSION;
"DIV_EQ_SELF",DIV_EQ_SELF;
"DIV_EXP",DIV_EXP;
"DIV_LE",DIV_LE;
"DIV_LE_EXCLUSION",DIV_LE_EXCLUSION;
"DIV_LT",DIV_LT;
"DIV_MOD",DIV_MOD;
"DIV_MONO",DIV_MONO;
"DIV_MONO2",DIV_MONO2;
"DIV_MONO_LT",DIV_MONO_LT;
"DIV_MULT",DIV_MULT;
"DIV_MULT2",DIV_MULT2;
"DIV_MULT_ADD",DIV_MULT_ADD;
"DIV_MUL_LE",DIV_MUL_LE;
"DIV_REFL",DIV_REFL;
"DIV_UNIQ",DIV_UNIQ;
"DIV_ZERO",DIV_ZERO;
"DOUBLE_HALF",DOUBLE_HALF;
"EL",EL;
"ELEMENT_LE_SUP",ELEMENT_LE_SUP;
"EL_APPEND",EL_APPEND;
"EL_CONS",EL_CONS;
"EL_LIST_OF_SEQ",EL_LIST_OF_SEQ;
"EL_MAP",EL_MAP;
"EL_MAP2",EL_MAP2;
"EL_TL",EL_TL;
"EMPTY",EMPTY;
"EMPTY_DELETE",EMPTY_DELETE;
"EMPTY_DIFF",EMPTY_DIFF;
"EMPTY_GSPEC",EMPTY_GSPEC;
"EMPTY_NOT_UNIV",EMPTY_NOT_UNIV;
"EMPTY_NUMSEG",EMPTY_NUMSEG;
"EMPTY_SUBSET",EMPTY_SUBSET;
"EMPTY_UNION",EMPTY_UNION;
"EMPTY_UNIONS",EMPTY_UNIONS;
"EQ_ADD_LCANCEL",EQ_ADD_LCANCEL;
"EQ_ADD_LCANCEL_0",EQ_ADD_LCANCEL_0;
"EQ_ADD_RCANCEL",EQ_ADD_RCANCEL;
"EQ_ADD_RCANCEL_0",EQ_ADD_RCANCEL_0;
"EQ_CLAUSES",EQ_CLAUSES;
"EQ_DIVMOD",EQ_DIVMOD;
"EQ_EXP",EQ_EXP;
"EQ_EXT",EQ_EXT;
"EQ_IMP",EQ_IMP;
"EQ_IMP_LE",EQ_IMP_LE;
"EQ_MULT_LCANCEL",EQ_MULT_LCANCEL;
"EQ_MULT_RCANCEL",EQ_MULT_RCANCEL;
"EQ_REFL",EQ_REFL;
"EQ_SYM",EQ_SYM;
"EQ_SYM_EQ",EQ_SYM_EQ;
"EQ_TRANS",EQ_TRANS;
"EQ_UNIV",EQ_UNIV;
"ETA_AX",ETA_AX;
"EVEN",EVEN;
"EVEN_ADD",EVEN_ADD;
"EVEN_AND_ODD",EVEN_AND_ODD;
"EVEN_DOUBLE",EVEN_DOUBLE;
"EVEN_EXISTS",EVEN_EXISTS;
"EVEN_EXISTS_LEMMA",EVEN_EXISTS_LEMMA;
"EVEN_EXP",EVEN_EXP;
"EVEN_MOD",EVEN_MOD;
"EVEN_MOD_EVEN",EVEN_MOD_EVEN;
"EVEN_MULT",EVEN_MULT;
"EVEN_ODD_DECOMPOSITION",EVEN_ODD_DECOMPOSITION;
"EVEN_OR_ODD",EVEN_OR_ODD;
"EVEN_SUB",EVEN_SUB;
"EX",EX;
"EXCLUDED_MIDDLE",EXCLUDED_MIDDLE;
"EXISTS_BOOL_THM",EXISTS_BOOL_THM;
"EXISTS_CARTESIAN_PRODUCT_ELEMENT",EXISTS_CARTESIAN_PRODUCT_ELEMENT;
"EXISTS_CURRY",EXISTS_CURRY;
"EXISTS_DEF",EXISTS_DEF;
"EXISTS_EX",EXISTS_EX;
"EXISTS_FINITE_SUBSET_IMAGE",EXISTS_FINITE_SUBSET_IMAGE;
"EXISTS_FINITE_SUBSET_IMAGE_INJ",EXISTS_FINITE_SUBSET_IMAGE_INJ;
"EXISTS_INT_CASES",EXISTS_INT_CASES;
"EXISTS_IN_CLAUSES",EXISTS_IN_CLAUSES;
"EXISTS_IN_CROSS",EXISTS_IN_CROSS;
"EXISTS_IN_GSPEC",EXISTS_IN_GSPEC;
"EXISTS_IN_IMAGE",EXISTS_IN_IMAGE;
"EXISTS_IN_INSERT",EXISTS_IN_INSERT;
"EXISTS_IN_PCROSS",EXISTS_IN_PCROSS;
"EXISTS_IN_UNION",EXISTS_IN_UNION;
"EXISTS_IN_UNIONS",EXISTS_IN_UNIONS;
"EXISTS_LT_MOD_THM",EXISTS_LT_MOD_THM;
"EXISTS_MOD_THM",EXISTS_MOD_THM;
"EXISTS_NOT_THM",EXISTS_NOT_THM;
"EXISTS_ONE_REP",EXISTS_ONE_REP;
"EXISTS_ONE_THM",EXISTS_ONE_THM;
"EXISTS_OR_THM",EXISTS_OR_THM;
"EXISTS_PAIRED_THM",EXISTS_PAIRED_THM;
"EXISTS_PAIR_FUN_THM",EXISTS_PAIR_FUN_THM;
"EXISTS_PAIR_THM",EXISTS_PAIR_THM;
"EXISTS_PASTECART",EXISTS_PASTECART;
"EXISTS_REFL",EXISTS_REFL;
"EXISTS_SIMP",EXISTS_SIMP;
"EXISTS_SMALL_SUBSET_IMAGE",EXISTS_SMALL_SUBSET_IMAGE;
"EXISTS_SMALL_SUBSET_IMAGE_INJ",EXISTS_SMALL_SUBSET_IMAGE_INJ;
"EXISTS_SUBSET_IMAGE",EXISTS_SUBSET_IMAGE;
"EXISTS_SUBSET_IMAGE_INJ",EXISTS_SUBSET_IMAGE_INJ;
"EXISTS_SUBSET_INSERT",EXISTS_SUBSET_INSERT;
"EXISTS_SUBSET_UNION",EXISTS_SUBSET_UNION;
"EXISTS_SWAP_FUN_THM",EXISTS_SWAP_FUN_THM;
"EXISTS_THM",EXISTS_THM;
"EXISTS_TRIPLED_THM",EXISTS_TRIPLED_THM;
"EXISTS_UNCURRY",EXISTS_UNCURRY;
"EXISTS_UNIQUE",EXISTS_UNIQUE;
"EXISTS_UNIQUE_ALT",EXISTS_UNIQUE_ALT;
"EXISTS_UNIQUE_DEF",EXISTS_UNIQUE_DEF;
"EXISTS_UNIQUE_REFL",EXISTS_UNIQUE_REFL;
"EXISTS_UNIQUE_THM",EXISTS_UNIQUE_THM;
"EXISTS_UNPAIR_FUN_THM",EXISTS_UNPAIR_FUN_THM;
"EXISTS_UNPAIR_THM",EXISTS_UNPAIR_THM;
"EXP",EXP;
"EXP_1",EXP_1;
"EXP_2",EXP_2;
"EXP_2_NE_0",EXP_2_NE_0;
"EXP_ADD",EXP_ADD;
"EXP_EQ_0",EXP_EQ_0;
"EXP_EQ_1",EXP_EQ_1;
"EXP_EXP",EXP_EXP;
"EXP_LT_0",EXP_LT_0;
"EXP_MONO_EQ",EXP_MONO_EQ;
"EXP_MONO_LE",EXP_MONO_LE;
"EXP_MONO_LE_IMP",EXP_MONO_LE_IMP;
"EXP_MONO_LT",EXP_MONO_LT;
"EXP_MONO_LT_IMP",EXP_MONO_LT_IMP;
"EXP_MULT",EXP_MULT;
"EXP_ONE",EXP_ONE;
"EXP_ZERO",EXP_ZERO;
"EXTENSION",EXTENSION;
"EXTENSIONAL",EXTENSIONAL;
"EXTENSIONAL_EMPTY",EXTENSIONAL_EMPTY;
"EXTENSIONAL_EQ",EXTENSIONAL_EQ;
"EXTENSIONAL_UNIV",EXTENSIONAL_UNIV;
"EX_IMP",EX_IMP;
"EX_MAP",EX_MAP;
"EX_MEM",EX_MEM;
"FACT",FACT;
"FACT_LE",FACT_LE;
"FACT_LT",FACT_LT;
"FACT_MONO",FACT_MONO;
"FACT_NZ",FACT_NZ;
"FCONS",FCONS;
"FCONS_UNDO",FCONS_UNDO;
"FILTER",FILTER;
"FILTER_APPEND",FILTER_APPEND;
"FILTER_MAP",FILTER_MAP;
"FINITE_1",FINITE_1;
"FINITE_BOOL",FINITE_BOOL;
"FINITE_CARD_LE_IMAGE",FINITE_CARD_LE_IMAGE;
"FINITE_CARD_LE_SUBSET",FINITE_CARD_LE_SUBSET;
"FINITE_CARD_LE_UNION",FINITE_CARD_LE_UNION;
"FINITE_CARD_LE_UNIONS",FINITE_CARD_LE_UNIONS;
"FINITE_CART",FINITE_CART;
"FINITE_CART_UNIV",FINITE_CART_UNIV;
"FINITE_CASES",FINITE_CASES;
"FINITE_CLAUSES",FINITE_CLAUSES;
"FINITE_CROSS",FINITE_CROSS;
"FINITE_CROSS_EQ",FINITE_CROSS_EQ;
"FINITE_CROSS_UNIV",FINITE_CROSS_UNIV;
"FINITE_DELETE",FINITE_DELETE;
"FINITE_DELETE_IMP",FINITE_DELETE_IMP;
"FINITE_DIFF",FINITE_DIFF;
"FINITE_DIFF_IMAGE",FINITE_DIFF_IMAGE;
"FINITE_EMPTY",FINITE_EMPTY;
"FINITE_FINITE_IMAGE",FINITE_FINITE_IMAGE;
"FINITE_FINITE_PREIMAGE",FINITE_FINITE_PREIMAGE;
"FINITE_FINITE_PREIMAGE_GENERAL",FINITE_FINITE_PREIMAGE_GENERAL;
"FINITE_FINITE_UNIONS",FINITE_FINITE_UNIONS;
"FINITE_FUNSPACE",FINITE_FUNSPACE;
"FINITE_FUNSPACE_UNIV",FINITE_FUNSPACE_UNIV;
"FINITE_HAS_SIZE",FINITE_HAS_SIZE;
"FINITE_IMAGE",FINITE_IMAGE;
"FINITE_IMAGE_EQ",FINITE_IMAGE_EQ;
"FINITE_IMAGE_EQ_INJ",FINITE_IMAGE_EQ_INJ;
"FINITE_IMAGE_EXPAND",FINITE_IMAGE_EXPAND;
"FINITE_IMAGE_GEN",FINITE_IMAGE_GEN;
"FINITE_IMAGE_IMAGE",FINITE_IMAGE_IMAGE;
"FINITE_IMAGE_INFINITE",FINITE_IMAGE_INFINITE;
"FINITE_IMAGE_INJ",FINITE_IMAGE_INJ;
"FINITE_IMAGE_INJ_EQ",FINITE_IMAGE_INJ_EQ;
"FINITE_IMAGE_INJ_GENERAL",FINITE_IMAGE_INJ_GENERAL;
"FINITE_INDEX_INJ",FINITE_INDEX_INJ;
"FINITE_INDEX_INRANGE",FINITE_INDEX_INRANGE;
"FINITE_INDEX_INRANGE_2",FINITE_INDEX_INRANGE_2;
"FINITE_INDEX_NUMBERS",FINITE_INDEX_NUMBERS;
"FINITE_INDEX_NUMSEG",FINITE_INDEX_NUMSEG;
"FINITE_INDEX_WORKS",FINITE_INDEX_WORKS;
"FINITE_INDUCT",FINITE_INDUCT;
"FINITE_INDUCT_DELETE",FINITE_INDUCT_DELETE;
"FINITE_INDUCT_STRONG",FINITE_INDUCT_STRONG;
"FINITE_INSERT",FINITE_INSERT;
"FINITE_INTER",FINITE_INTER;
"FINITE_INTERSECTION_OF_COMPLEMENT",FINITE_INTERSECTION_OF_COMPLEMENT;
"FINITE_INTERSECTION_OF_EMPTY",FINITE_INTERSECTION_OF_EMPTY;
"FINITE_INTERSECTION_OF_IDEMPOT",FINITE_INTERSECTION_OF_IDEMPOT;
"FINITE_INTERSECTION_OF_INC",FINITE_INTERSECTION_OF_INC;
"FINITE_INTERSECTION_OF_INTER",FINITE_INTERSECTION_OF_INTER;
"FINITE_INTERSECTION_OF_INTERS",FINITE_INTERSECTION_OF_INTERS;
"FINITE_INTERSECTION_OF_UNION",FINITE_INTERSECTION_OF_UNION;
"FINITE_INTERSECTION_OF_UNION_EQ",FINITE_INTERSECTION_OF_UNION_EQ;
"FINITE_INT_SEG",FINITE_INT_SEG;
"FINITE_NUMSEG",FINITE_NUMSEG;
"FINITE_NUMSEG_LE",FINITE_NUMSEG_LE;
"FINITE_NUMSEG_LT",FINITE_NUMSEG_LT;
"FINITE_PCROSS",FINITE_PCROSS;
"FINITE_PCROSS_EQ",FINITE_PCROSS_EQ;
"FINITE_POWERSET",FINITE_POWERSET;
"FINITE_POWERSET_EQ",FINITE_POWERSET_EQ;
"FINITE_PRODUCT",FINITE_PRODUCT;
"FINITE_PRODUCT_DEPENDENT",FINITE_PRODUCT_DEPENDENT;
"FINITE_PROD_IMAGE",FINITE_PROD_IMAGE;
"FINITE_REAL_INTERVAL",FINITE_REAL_INTERVAL;
"FINITE_RECURSION",FINITE_RECURSION;
"FINITE_RECURSION_DELETE",FINITE_RECURSION_DELETE;
"FINITE_RESTRICT",FINITE_RESTRICT;
"FINITE_RESTRICTED_FUNSPACE",FINITE_RESTRICTED_FUNSPACE;
"FINITE_RESTRICTED_POWERSET",FINITE_RESTRICTED_POWERSET;
"FINITE_RESTRICTED_SUBSETS",FINITE_RESTRICTED_SUBSETS;
"FINITE_RULES",FINITE_RULES;
"FINITE_SET_OF_LIST",FINITE_SET_OF_LIST;
"FINITE_SING",FINITE_SING;
"FINITE_SUBSET",FINITE_SUBSET;
"FINITE_SUBSET_IMAGE",FINITE_SUBSET_IMAGE;
"FINITE_SUBSET_IMAGE_IMP",FINITE_SUBSET_IMAGE_IMP;
"FINITE_SUBSET_NUMSEG",FINITE_SUBSET_NUMSEG;
"FINITE_SUBSET_UNIONS",FINITE_SUBSET_UNIONS;
"FINITE_SUBSET_UNIONS_CHAIN",FINITE_SUBSET_UNIONS_CHAIN;
"FINITE_SUM_IMAGE",FINITE_SUM_IMAGE;
"FINITE_SUPPORT",FINITE_SUPPORT;
"FINITE_SUPPORT_DELTA",FINITE_SUPPORT_DELTA;
"FINITE_TRANSITIVITY_CHAIN",FINITE_TRANSITIVITY_CHAIN;
"FINITE_TYBIT0",FINITE_TYBIT0;
"FINITE_TYBIT1",FINITE_TYBIT1;
"FINITE_UNION",FINITE_UNION;
"FINITE_UNIONS",FINITE_UNIONS;
"FINITE_UNION_IMP",FINITE_UNION_IMP;
"FINITE_UNION_OF_COMPLEMENT",FINITE_UNION_OF_COMPLEMENT;
"FINITE_UNION_OF_EMPTY",FINITE_UNION_OF_EMPTY;
"FINITE_UNION_OF_IDEMPOT",FINITE_UNION_OF_IDEMPOT;
"FINITE_UNION_OF_INC",FINITE_UNION_OF_INC;
"FINITE_UNION_OF_INTER",FINITE_UNION_OF_INTER;
"FINITE_UNION_OF_INTER_EQ",FINITE_UNION_OF_INTER_EQ;
"FINITE_UNION_OF_UNION",FINITE_UNION_OF_UNION;
"FINITE_UNION_OF_UNIONS",FINITE_UNION_OF_UNIONS;
"FINITE_UNIV_PAIR",FINITE_UNIV_PAIR;
"FINREC",FINREC;
"FINREC_1_LEMMA",FINREC_1_LEMMA;
"FINREC_EXISTS_LEMMA",FINREC_EXISTS_LEMMA;
"FINREC_FUN",FINREC_FUN;
"FINREC_FUN_LEMMA",FINREC_FUN_LEMMA;
"FINREC_SUC_LEMMA",FINREC_SUC_LEMMA;
"FINREC_UNIQUE_LEMMA",FINREC_UNIQUE_LEMMA;
"FNIL",FNIL;
"FORALL_ALL",FORALL_ALL;
"FORALL_AND_THM",FORALL_AND_THM;
"FORALL_BOOL_THM",FORALL_BOOL_THM;
"FORALL_CARTESIAN_PRODUCT_ELEMENTS",FORALL_CARTESIAN_PRODUCT_ELEMENTS;
"FORALL_CARTESIAN_PRODUCT_ELEMENTS_EQ",FORALL_CARTESIAN_PRODUCT_ELEMENTS_EQ;
"FORALL_CURRY",FORALL_CURRY;
"FORALL_DEF",FORALL_DEF;
"FORALL_FINITE_INDEX",FORALL_FINITE_INDEX;
"FORALL_FINITE_SUBSET_IMAGE",FORALL_FINITE_SUBSET_IMAGE;
"FORALL_FINITE_SUBSET_IMAGE_INJ",FORALL_FINITE_SUBSET_IMAGE_INJ;
"FORALL_INTERSECTION_OF",FORALL_INTERSECTION_OF;
"FORALL_INT_CASES",FORALL_INT_CASES;
"FORALL_IN_CLAUSES",FORALL_IN_CLAUSES;
"FORALL_IN_CROSS",FORALL_IN_CROSS;
"FORALL_IN_GSPEC",FORALL_IN_GSPEC;
"FORALL_IN_IMAGE",FORALL_IN_IMAGE;
"FORALL_IN_IMAGE_2",FORALL_IN_IMAGE_2;
"FORALL_IN_INSERT",FORALL_IN_INSERT;
"FORALL_IN_PCROSS",FORALL_IN_PCROSS;
"FORALL_IN_UNION",FORALL_IN_UNION;
"FORALL_IN_UNIONS",FORALL_IN_UNIONS;
"FORALL_LT_MOD_THM",FORALL_LT_MOD_THM;
"FORALL_MOD_THM",FORALL_MOD_THM;
"FORALL_NOT_THM",FORALL_NOT_THM;
"FORALL_ONE_THM",FORALL_ONE_THM;
"FORALL_OPTION_THM",FORALL_OPTION_THM;
"FORALL_PAIRED_THM",FORALL_PAIRED_THM;
"FORALL_PAIR_FUN_THM",FORALL_PAIR_FUN_THM;
"FORALL_PAIR_THM",FORALL_PAIR_THM;
"FORALL_PASTECART",FORALL_PASTECART;
"FORALL_SIMP",FORALL_SIMP;
"FORALL_SMALL_SUBSET_IMAGE",FORALL_SMALL_SUBSET_IMAGE;
"FORALL_SMALL_SUBSET_IMAGE_INJ",FORALL_SMALL_SUBSET_IMAGE_INJ;
"FORALL_SUBSET_IMAGE",FORALL_SUBSET_IMAGE;
"FORALL_SUBSET_IMAGE_INJ",FORALL_SUBSET_IMAGE_INJ;
"FORALL_SUBSET_INSERT",FORALL_SUBSET_INSERT;
"FORALL_SUBSET_UNION",FORALL_SUBSET_UNION;
"FORALL_TRIPLED_THM",FORALL_TRIPLED_THM;
"FORALL_UNCURRY",FORALL_UNCURRY;
"FORALL_UNION_OF",FORALL_UNION_OF;
"FORALL_UNPAIR_FUN_THM",FORALL_UNPAIR_FUN_THM;
"FORALL_UNPAIR_THM",FORALL_UNPAIR_THM;
"FORALL_UNWIND_THM1",FORALL_UNWIND_THM1;
"FORALL_UNWIND_THM2",FORALL_UNWIND_THM2;
"FST",FST;
"FSTCART_COMPONENT",FSTCART_COMPONENT;
"FSTCART_PASTECART",FSTCART_PASTECART;
"FST_DEF",FST_DEF;
"FUNCTION_FACTORS_LEFT",FUNCTION_FACTORS_LEFT;
"FUNCTION_FACTORS_LEFT_GEN",FUNCTION_FACTORS_LEFT_GEN;
"FUNCTION_FACTORS_RIGHT",FUNCTION_FACTORS_RIGHT;
"FUNCTION_FACTORS_RIGHT_GEN",FUNCTION_FACTORS_RIGHT_GEN;
"FUN_EQ_THM",FUN_EQ_THM;
"FUN_IN_IMAGE",FUN_IN_IMAGE;
"F_DEF",F_DEF;
"GABS_DEF",GABS_DEF;
"GCD",GCD;
"GE",GE;
"GEQ_DEF",GEQ_DEF;
"GE_C",GE_C;
"GSPEC",GSPEC;
"GT",GT;
"HALF_DOUBLE",HALF_DOUBLE;
"HAS_INF",HAS_INF;
"HAS_INF_APPROACH",HAS_INF_APPROACH;
"HAS_INF_INF",HAS_INF_INF;
"HAS_INF_LBOUND",HAS_INF_LBOUND;
"HAS_INF_LE",HAS_INF_LE;
"HAS_SIZE",HAS_SIZE;
"HAS_SIZE_0",HAS_SIZE_0;
"HAS_SIZE_1",HAS_SIZE_1;
"HAS_SIZE_2",HAS_SIZE_2;
"HAS_SIZE_3",HAS_SIZE_3;
"HAS_SIZE_4",HAS_SIZE_4;
"HAS_SIZE_BOOL",HAS_SIZE_BOOL;
"HAS_SIZE_CARD",HAS_SIZE_CARD;
"HAS_SIZE_CART_UNIV",HAS_SIZE_CART_UNIV;
"HAS_SIZE_CLAUSES",HAS_SIZE_CLAUSES;
"HAS_SIZE_CROSS",HAS_SIZE_CROSS;
"HAS_SIZE_DIFF",HAS_SIZE_DIFF;
"HAS_SIZE_FINITE_IMAGE",HAS_SIZE_FINITE_IMAGE;
"HAS_SIZE_FUNSPACE",HAS_SIZE_FUNSPACE;
"HAS_SIZE_FUNSPACE_UNIV",HAS_SIZE_FUNSPACE_UNIV;
"HAS_SIZE_IMAGE_INJ",HAS_SIZE_IMAGE_INJ;
"HAS_SIZE_IMAGE_INJ_EQ",HAS_SIZE_IMAGE_INJ_EQ;
"HAS_SIZE_IMAGE_INJ_RESTRICT",HAS_SIZE_IMAGE_INJ_RESTRICT;
"HAS_SIZE_INDEX",HAS_SIZE_INDEX;
"HAS_SIZE_NUMSEG",HAS_SIZE_NUMSEG;
"HAS_SIZE_NUMSEG_1",HAS_SIZE_NUMSEG_1;
"HAS_SIZE_NUMSEG_LE",HAS_SIZE_NUMSEG_LE;
"HAS_SIZE_NUMSEG_LT",HAS_SIZE_NUMSEG_LT;
"HAS_SIZE_PCROSS",HAS_SIZE_PCROSS;
"HAS_SIZE_POWERSET",HAS_SIZE_POWERSET;
"HAS_SIZE_PRODUCT",HAS_SIZE_PRODUCT;
"HAS_SIZE_PRODUCT_DEPENDENT",HAS_SIZE_PRODUCT_DEPENDENT;
"HAS_SIZE_SET_OF_LIST",HAS_SIZE_SET_OF_LIST;
"HAS_SIZE_SUC",HAS_SIZE_SUC;
"HAS_SIZE_TYBIT0",HAS_SIZE_TYBIT0;
"HAS_SIZE_TYBIT1",HAS_SIZE_TYBIT1;
"HAS_SIZE_UNION",HAS_SIZE_UNION;
"HAS_SIZE_UNIONS",HAS_SIZE_UNIONS;
"HAS_SUP",HAS_SUP;
"HAS_SUP_APPROACH",HAS_SUP_APPROACH;
"HAS_SUP_LE",HAS_SUP_LE;
"HAS_SUP_SUP",HAS_SUP_SUP;
"HAS_SUP_UBOUND",HAS_SUP_UBOUND;
"HD",HD;
"HD_APPEND",HD_APPEND;
"HD_REVERSE",HD_REVERSE;
"HREAL_ADD_AC",HREAL_ADD_AC;
"HREAL_ADD_ASSOC",HREAL_ADD_ASSOC;
"HREAL_ADD_LCANCEL",HREAL_ADD_LCANCEL;
"HREAL_ADD_LDISTRIB",HREAL_ADD_LDISTRIB;
"HREAL_ADD_LID",HREAL_ADD_LID;
"HREAL_ADD_RDISTRIB",HREAL_ADD_RDISTRIB;
"HREAL_ADD_RID",HREAL_ADD_RID;
"HREAL_ADD_SYM",HREAL_ADD_SYM;
"HREAL_ARCH",HREAL_ARCH;
"HREAL_COMPLETE",HREAL_COMPLETE;
"HREAL_EQ_ADD_LCANCEL",HREAL_EQ_ADD_LCANCEL;
"HREAL_EQ_ADD_RCANCEL",HREAL_EQ_ADD_RCANCEL;
"HREAL_INV_0",HREAL_INV_0;
"HREAL_LE_ADD",HREAL_LE_ADD;
"HREAL_LE_ADD2",HREAL_LE_ADD2;
"HREAL_LE_ADD_LCANCEL",HREAL_LE_ADD_LCANCEL;
"HREAL_LE_ADD_RCANCEL",HREAL_LE_ADD_RCANCEL;
"HREAL_LE_ANTISYM",HREAL_LE_ANTISYM;
"HREAL_LE_EXISTS",HREAL_LE_EXISTS;
"HREAL_LE_EXISTS_DEF",HREAL_LE_EXISTS_DEF;
"HREAL_LE_MUL_RCANCEL_IMP",HREAL_LE_MUL_RCANCEL_IMP;
"HREAL_LE_REFL",HREAL_LE_REFL;
"HREAL_LE_TOTAL",HREAL_LE_TOTAL;
"HREAL_LE_TRANS",HREAL_LE_TRANS;
"HREAL_MUL_ASSOC",HREAL_MUL_ASSOC;
"HREAL_MUL_LID",HREAL_MUL_LID;
"HREAL_MUL_LINV",HREAL_MUL_LINV;
"HREAL_MUL_LZERO",HREAL_MUL_LZERO;
"HREAL_MUL_RZERO",HREAL_MUL_RZERO;
"HREAL_MUL_SYM",HREAL_MUL_SYM;
"HREAL_OF_NUM_ADD",HREAL_OF_NUM_ADD;
"HREAL_OF_NUM_EQ",HREAL_OF_NUM_EQ;
"HREAL_OF_NUM_LE",HREAL_OF_NUM_LE;
"HREAL_OF_NUM_MUL",HREAL_OF_NUM_MUL;
"Hashek.hashek_def",Hashek.hashek_def;
"Hashek.hashek_eq",Hashek.hashek_eq;
"Hashek.hashek_prop",Hashek.hashek_prop;
"Hashek.hashek_thm",Hashek.hashek_thm;
"IMAGE",IMAGE;
"IMAGE_CLAUSES",IMAGE_CLAUSES;
"IMAGE_CONST",IMAGE_CONST;
"IMAGE_DELETE_INJ",IMAGE_DELETE_INJ;
"IMAGE_DELETE_INJ_ALT",IMAGE_DELETE_INJ_ALT;
"IMAGE_DIFF_INJ",IMAGE_DIFF_INJ;
"IMAGE_DIFF_INJ_ALT",IMAGE_DIFF_INJ_ALT;
"IMAGE_EQ_EMPTY",IMAGE_EQ_EMPTY;
"IMAGE_FSTCART_PCROSS",IMAGE_FSTCART_PCROSS;
"IMAGE_FST_CROSS",IMAGE_FST_CROSS;
"IMAGE_I",IMAGE_I;
"IMAGE_ID",IMAGE_ID;
"IMAGE_IMP_INJECTIVE",IMAGE_IMP_INJECTIVE;
"IMAGE_IMP_INJECTIVE_GEN",IMAGE_IMP_INJECTIVE_GEN;
"IMAGE_INJECTIVE_IMAGE_OF_SUBSET",IMAGE_INJECTIVE_IMAGE_OF_SUBSET;
"IMAGE_INTERS",IMAGE_INTERS;
"IMAGE_INTERS_SATURATED",IMAGE_INTERS_SATURATED;
"IMAGE_INTERS_SATURATED_GEN",IMAGE_INTERS_SATURATED_GEN;
"IMAGE_INTERS_SUBSET",IMAGE_INTERS_SUBSET;
"IMAGE_INTER_INJ",IMAGE_INTER_INJ;
"IMAGE_INTER_SATURATED",IMAGE_INTER_SATURATED;
"IMAGE_INTER_SATURATED_GEN",IMAGE_INTER_SATURATED_GEN;
"IMAGE_INTER_SUBSET",IMAGE_INTER_SUBSET;
"IMAGE_PAIRED_CROSS",IMAGE_PAIRED_CROSS;
"IMAGE_PRODUCT_MAP",IMAGE_PRODUCT_MAP;
"IMAGE_PROJECTION_CARTESIAN_PRODUCT",IMAGE_PROJECTION_CARTESIAN_PRODUCT;
"IMAGE_RESTRICTION",IMAGE_RESTRICTION;
"IMAGE_SNDCART_PCROSS",IMAGE_SNDCART_PCROSS;
"IMAGE_SND_CROSS",IMAGE_SND_CROSS;
"IMAGE_SUBSET",IMAGE_SUBSET;
"IMAGE_UNION",IMAGE_UNION;
"IMAGE_UNIONS",IMAGE_UNIONS;
"IMAGE_o",IMAGE_o;
"IMP_CLAUSES",IMP_CLAUSES;
"IMP_CONJ",IMP_CONJ;
"IMP_CONJ_ALT",IMP_CONJ_ALT;
"IMP_DEF",IMP_DEF;
"IMP_IMP",IMP_IMP;
"IN",IN;
"IND_SUC_0",IND_SUC_0;
"IND_SUC_0_EXISTS",IND_SUC_0_EXISTS;
"IND_SUC_INJ",IND_SUC_INJ;
"IND_SUC_SPEC",IND_SUC_SPEC;
"INF",INF;
"INFINITE",INFINITE;
"INFINITE_CROSS_EQ",INFINITE_CROSS_EQ;
"INFINITE_CROSS_UNIV",INFINITE_CROSS_UNIV;
"INFINITE_DIFF_FINITE",INFINITE_DIFF_FINITE;
"INFINITE_ENUMERATE",INFINITE_ENUMERATE;
"INFINITE_ENUMERATE_EQ",INFINITE_ENUMERATE_EQ;
"INFINITE_ENUMERATE_SUBSET",INFINITE_ENUMERATE_SUBSET;
"INFINITE_IMAGE",INFINITE_IMAGE;
"INFINITE_IMAGE_INJ",INFINITE_IMAGE_INJ;
"INFINITE_NONEMPTY",INFINITE_NONEMPTY;
"INFINITE_SUPERSET",INFINITE_SUPERSET;
"INFINITE_UNIV_PAIR",INFINITE_UNIV_PAIR;
"INFINITY_AX",INFINITY_AX;
"INF_APPROACH",INF_APPROACH;
"INF_EQ",INF_EQ;
"INF_EXISTS",INF_EXISTS;
"INF_FINITE",INF_FINITE;
"INF_FINITE_LEMMA",INF_FINITE_LEMMA;
"INF_INSERT_FINITE",INF_INSERT_FINITE;
"INF_INSERT_INSERT",INF_INSERT_INSERT;
"INF_LE_ELEMENT",INF_LE_ELEMENT;
"INF_SING",INF_SING;
"INF_UNION",INF_UNION;
"INF_UNIQUE",INF_UNIQUE;
"INF_UNIQUE_FINITE",INF_UNIQUE_FINITE;
"INJ",INJ;
"INJA",INJA;
"INJA_INJ",INJA_INJ;
"INJECTIVE_ALT",INJECTIVE_ALT;
"INJECTIVE_IMAGE",INJECTIVE_IMAGE;
"INJECTIVE_LEFT_INVERSE",INJECTIVE_LEFT_INVERSE;
"INJECTIVE_MAP",INJECTIVE_MAP;
"INJECTIVE_ON_ALT",INJECTIVE_ON_ALT;
"INJECTIVE_ON_IMAGE",INJECTIVE_ON_IMAGE;
"INJECTIVE_ON_LEFT_INVERSE",INJECTIVE_ON_LEFT_INVERSE;
"INJECTIVE_ON_PREIMAGE",INJECTIVE_ON_PREIMAGE;
"INJECTIVE_PREIMAGE",INJECTIVE_PREIMAGE;
"INJF",INJF;
"INJF_INJ",INJF_INJ;
"INJN",INJN;
"INJN_INJ",INJN_INJ;
"INJP",INJP;
"INJP_INJ",INJP_INJ;
"INJ_INVERSE2",INJ_INVERSE2;
"INSERT",INSERT;
"INSERT_AC",INSERT_AC;
"INSERT_COMM",INSERT_COMM;
"INSERT_DEF",INSERT_DEF;
"INSERT_DELETE",INSERT_DELETE;
"INSERT_DIFF",INSERT_DIFF;
"INSERT_INSERT",INSERT_INSERT;
"INSERT_INTER",INSERT_INTER;
"INSERT_RESTRICT",INSERT_RESTRICT;
"INSERT_SUBSET",INSERT_SUBSET;
"INSERT_UNION",INSERT_UNION;
"INSERT_UNION_EQ",INSERT_UNION_EQ;
"INSERT_UNIV",INSERT_UNIV;
"INTEGER_REAL_OF_INT",INTEGER_REAL_OF_INT;
"INTER",INTER;
"INTERS",INTERS;
"INTERSECTION_OF",INTERSECTION_OF;
"INTERSECTION_OF_EMPTY",INTERSECTION_OF_EMPTY;
"INTERSECTION_OF_INC",INTERSECTION_OF_INC;
"INTERSECTION_OF_MONO",INTERSECTION_OF_MONO;
"INTERS_0",INTERS_0;
"INTERS_1",INTERS_1;
"INTERS_2",INTERS_2;
"INTERS_ANTIMONO",INTERS_ANTIMONO;
"INTERS_ANTIMONO_GEN",INTERS_ANTIMONO_GEN;
"INTERS_EQ_UNIV",INTERS_EQ_UNIV;
"INTERS_GSPEC",INTERS_GSPEC;
"INTERS_IMAGE",INTERS_IMAGE;
"INTERS_INSERT",INTERS_INSERT;
"INTERS_IN_CHAIN",INTERS_IN_CHAIN;
"INTERS_OVER_UNIONS",INTERS_OVER_UNIONS;
"INTERS_SUBSET",INTERS_SUBSET;
"INTERS_SUBSET_STRONG",INTERS_SUBSET_STRONG;
"INTERS_UNION",INTERS_UNION;
"INTERS_UNIONS",INTERS_UNIONS;
"INTER_ACI",INTER_ACI;
"INTER_ASSOC",INTER_ASSOC;
"INTER_CARTESIAN_PRODUCT",INTER_CARTESIAN_PRODUCT;
"INTER_COMM",INTER_COMM;
"INTER_CROSS",INTER_CROSS;
"INTER_DISJOINT_UNION",INTER_DISJOINT_UNION;
"INTER_EMPTY",INTER_EMPTY;
"INTER_IDEMPOT",INTER_IDEMPOT;
"INTER_INTERS",INTER_INTERS;
"INTER_NUMSEG",INTER_NUMSEG;
"INTER_OVER_UNION",INTER_OVER_UNION;
"INTER_PCROSS",INTER_PCROSS;
"INTER_RESTRICT",INTER_RESTRICT;
"INTER_SUBSET",INTER_SUBSET;
"INTER_UNIONS",INTER_UNIONS;
"INTER_UNIONS_PAIRWISE_DISJOINT",INTER_UNIONS_PAIRWISE_DISJOINT;
"INTER_UNIV",INTER_UNIV;
"INT_2_DIVIDES_ADD",INT_2_DIVIDES_ADD;
"INT_2_DIVIDES_MUL",INT_2_DIVIDES_MUL;
"INT_2_DIVIDES_POW",INT_2_DIVIDES_POW;
"INT_2_DIVIDES_SUB",INT_2_DIVIDES_SUB;
"INT_ABS",INT_ABS;
"INT_ABS_0",INT_ABS_0;
"INT_ABS_1",INT_ABS_1;
"INT_ABS_ABS",INT_ABS_ABS;
"INT_ABS_BETWEEN",INT_ABS_BETWEEN;
"INT_ABS_BETWEEN1",INT_ABS_BETWEEN1;
"INT_ABS_BETWEEN2",INT_ABS_BETWEEN2;
"INT_ABS_BOUND",INT_ABS_BOUND;
"INT_ABS_BOUNDS",INT_ABS_BOUNDS;
"INT_ABS_CASES",INT_ABS_CASES;
"INT_ABS_CIRCLE",INT_ABS_CIRCLE;
"INT_ABS_LE",INT_ABS_LE;
"INT_ABS_MUL",INT_ABS_MUL;
"INT_ABS_MUL_1",INT_ABS_MUL_1;
"INT_ABS_NEG",INT_ABS_NEG;
"INT_ABS_NUM",INT_ABS_NUM;
"INT_ABS_NZ",INT_ABS_NZ;
"INT_ABS_POS",INT_ABS_POS;
"INT_ABS_POW",INT_ABS_POW;
"INT_ABS_REFL",INT_ABS_REFL;
"INT_ABS_SGN",INT_ABS_SGN;
"INT_ABS_SIGN",INT_ABS_SIGN;
"INT_ABS_SIGN2",INT_ABS_SIGN2;
"INT_ABS_STILLNZ",INT_ABS_STILLNZ;
"INT_ABS_SUB",INT_ABS_SUB;
"INT_ABS_SUB_ABS",INT_ABS_SUB_ABS;
"INT_ABS_TRIANGLE",INT_ABS_TRIANGLE;
"INT_ABS_ZERO",INT_ABS_ZERO;
"INT_ADD2_SUB2",INT_ADD2_SUB2;
"INT_ADD_AC",INT_ADD_AC;
"INT_ADD_ASSOC",INT_ADD_ASSOC;
"INT_ADD_LDISTRIB",INT_ADD_LDISTRIB;
"INT_ADD_LID",INT_ADD_LID;
"INT_ADD_LINV",INT_ADD_LINV;
"INT_ADD_RDISTRIB",INT_ADD_RDISTRIB;
"INT_ADD_REM",INT_ADD_REM;
"INT_ADD_RID",INT_ADD_RID;
"INT_ADD_RINV",INT_ADD_RINV;
"INT_ADD_SUB",INT_ADD_SUB;
"INT_ADD_SUB2",INT_ADD_SUB2;
"INT_ADD_SYM",INT_ADD_SYM;
"INT_ARCH",INT_ARCH;
"INT_BOUNDS_LE",INT_BOUNDS_LE;
"INT_BOUNDS_LT",INT_BOUNDS_LT;
"INT_CONG_DIV2",INT_CONG_DIV2;
"INT_CONG_IMP_EQ",INT_CONG_IMP_EQ;
"INT_CONG_LREM",INT_CONG_LREM;
"INT_CONG_NUM_EXISTS",INT_CONG_NUM_EXISTS;
"INT_CONG_RREM",INT_CONG_RREM;
"INT_CONG_SOLVE_BOUNDS",INT_CONG_SOLVE_BOUNDS;
"INT_DIFFSQ",INT_DIFFSQ;
"INT_DIVIDES_ABS",INT_DIVIDES_ABS;
"INT_DIVIDES_DIVIDES_DIV",INT_DIVIDES_DIVIDES_DIV;
"INT_DIVIDES_DIVIDES_DIV_EQ",INT_DIVIDES_DIVIDES_DIV_EQ;
"INT_DIVIDES_DIV_DIVIDES",INT_DIVIDES_DIV_DIVIDES;
"INT_DIVIDES_DIV_SELF",INT_DIVIDES_DIV_SELF;
"INT_DIVIDES_LABS",INT_DIVIDES_LABS;
"INT_DIVIDES_LCM_GCD",INT_DIVIDES_LCM_GCD;
"INT_DIVIDES_LE",INT_DIVIDES_LE;
"INT_DIVIDES_RABS",INT_DIVIDES_RABS;
"INT_DIVISION",INT_DIVISION;
"INT_DIVISION_0",INT_DIVISION_0;
"INT_DIVISION_SIMP",INT_DIVISION_SIMP;
"INT_DIVMOD_EXIST_0",INT_DIVMOD_EXIST_0;
"INT_DIVMOD_UNIQ",INT_DIVMOD_UNIQ;
"INT_DIV_0",INT_DIV_0;
"INT_DIV_1",INT_DIV_1;
"INT_DIV_BY_DIV",INT_DIV_BY_DIV;
"INT_DIV_DIV",INT_DIV_DIV;
"INT_DIV_EQ_0",INT_DIV_EQ_0;
"INT_DIV_LE",INT_DIV_LE;
"INT_DIV_LE_EQ",INT_DIV_LE_EQ;
"INT_DIV_LNEG",INT_DIV_LNEG;
"INT_DIV_LT",INT_DIV_LT;
"INT_DIV_LT_EQ",INT_DIV_LT_EQ;
"INT_DIV_MUL",INT_DIV_MUL;
"INT_DIV_MUL_ADD",INT_DIV_MUL_ADD;
"INT_DIV_NEG2",INT_DIV_NEG2;
"INT_DIV_REFL",INT_DIV_REFL;
"INT_DIV_REM",INT_DIV_REM;
"INT_DIV_RNEG",INT_DIV_RNEG;
"INT_DIV_UNIQ",INT_DIV_UNIQ;
"INT_DIV_ZERO",INT_DIV_ZERO;
"INT_ENTIRE",INT_ENTIRE;
"INT_EQ_ADD_LCANCEL",INT_EQ_ADD_LCANCEL;
"INT_EQ_ADD_LCANCEL_0",INT_EQ_ADD_LCANCEL_0;
"INT_EQ_ADD_RCANCEL",INT_EQ_ADD_RCANCEL;
"INT_EQ_ADD_RCANCEL_0",INT_EQ_ADD_RCANCEL_0;
"INT_EQ_IMP_LE",INT_EQ_IMP_LE;
"INT_EQ_LCANCEL_IMP",INT_EQ_LCANCEL_IMP;
"INT_EQ_MUL_LCANCEL",INT_EQ_MUL_LCANCEL;
"INT_EQ_MUL_RCANCEL",INT_EQ_MUL_RCANCEL;
"INT_EQ_NEG2",INT_EQ_NEG2;
"INT_EQ_RCANCEL_IMP",INT_EQ_RCANCEL_IMP;
"INT_EQ_SGN_ABS",INT_EQ_SGN_ABS;
"INT_EQ_SQUARE_ABS",INT_EQ_SQUARE_ABS;
"INT_EQ_SUB_LADD",INT_EQ_SUB_LADD;
"INT_EQ_SUB_RADD",INT_EQ_SUB_RADD;
"INT_EVENPOW_ABS",INT_EVENPOW_ABS;
"INT_EXISTS_ABS",INT_EXISTS_ABS;
"INT_EXISTS_POS",INT_EXISTS_POS;