Theorems · Theorem · category theory
CategoryTheory.SimplicialObject.Augmented.rightOpLeftOpIso_hom_left_app
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (X : CategoryTheory.SimplicialObject.Augmented C)
(X_1 : SimplexCategoryᵒᵖ), X.rightOpLeftOpIso.hom.left.app X_1 = CategoryTheory.CategoryStruct.id (X.left.obj X_1)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 38 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
- 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.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.Functor.idstatement · cited by 3,333
- SimplexCategorystatement and proof · cited by 2,204
- CategoryTheory.Comma.leftstatement · cited by 886
- CategoryTheory.SimplicialObjectstatement · cited by 548
- CategoryTheory.CommaMorphism.leftstatement and proof · cited by 526
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