Theorems · Theorem · category theory

AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompToArrowIso_inv_app_right

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] (X : CategoryTheory.Functor AugmentedSimplexCategory C),
  (AugmentedSimplexCategory.equivAugmentedCosimplicialObjectFunctorCompToArrowIso.inv.app X).right =
    CategoryTheory.CategoryStruct.id (X.obj (CategoryTheory.WithInitial.incl.obj { len := 0 }))

Defined in: Mathlib.AlgebraicTopology.SimplexCategory.Augmented.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement · cited by 32,603
CategoryTheory.Functor.objstatement · cited by 19,642
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CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
CategoryTheory.Functor.compstatement · cited by 6,529
CategoryTheory.Iso.invstatement and proof · cited by 6,514
CategoryTheory.CategoryStruct.idstatement · cited by 6,235
CategoryTheory.Functor.idstatement · cited by 3,333
SimplexCategorystatement · cited by 2,204
CategoryTheory.Equivalence.functorstatement · cited by 1,268
CategoryTheory.Comma.rightstatement · cited by 727

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