Theorems · Theorem · category theory
AugmentedSimplexCategory.equivAugmentedSimplicialObject_counitIso_hom_app_right
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (X : CategoryTheory.SimplicialObject.Augmented C),
(AugmentedSimplexCategory.equivAugmentedSimplicialObject.counitIso.hom.app X).right =
CategoryTheory.CategoryStruct.id X.right- Cited by
- 0 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites30
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 and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.NatTrans.appstatement · cited by 7,406
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- SimplexCategorystatement and proof · cited by 2,204
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