Theorems · Theorem · category theory
AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompToArrowIso_hom_app_right
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C]
(X : CategoryTheory.Functor AugmentedSimplexCategoryᵒᵖ C),
(AugmentedSimplexCategory.equivAugmentedSimplicialObjectFunctorCompToArrowIso.hom.app X).right =
CategoryTheory.CategoryStruct.id (X.obj (Opposite.op CategoryTheory.WithInitial.star))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites27
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 · cited by 2,204
- Quiver.Hom.opstatement · cited by 1,948
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