Theorems · Theorem · category theory
CategoryTheory.cosimplicialSimplicialEquiv_counitIso_hom_app_app
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] (X : CategoryTheory.Functor SimplexCategoryᵒᵖ Cᵒᵖ)
(X_1 : SimplexCategoryᵒᵖ),
((CategoryTheory.cosimplicialSimplicialEquiv C).counitIso.hom.app X).app X_1 =
CategoryTheory.CategoryStruct.id (X.obj X_1)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Iso.homstatement and proof · cited by 7,684
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- SimplexCategorystatement and proof · cited by 2,204
- CategoryTheory.Functor.opstatement · cited by 997
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