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Update theories/Homotopy/ClassifyingSpace.v
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Co-authored-by: Dan Christensen <[email protected]>
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patrick-nicodemus and jdchristensen authored Jan 27, 2025
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3 changes: 1 addition & 2 deletions theories/Homotopy/ClassifyingSpace.v
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Expand Up @@ -581,8 +581,7 @@ Proof.
rapply pequiv_pclassifyingspace_pi1. }
snrapply Build_NatEquiv.
1: intro; exact pequiv_ptr_rec.
rapply (@is1natural_prewhisker _ _ _
(opyon (pTr 1 X)) (opyon X) B _ _ _ _ _ _ _ _ _ _ (opyoneda _ _ _)).
rapply (is1natural_prewhisker (G:=opyon X) B (opyoneda _ _ _)).
Defined.

(** The classifying space functor and the fundamental group functor form an adjunction (pType needs to be restricted to the subcategory of 0-connected pTypes). Note that the full adjunction should also be natural in X, but this was not needed yet. *)
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