Theorems · Theorem · category theory
CategoryTheory.CosimplicialObject.Augmented.leftOp_hom_app
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (X : CategoryTheory.CosimplicialObject.Augmented Cᵒᵖ)
(X_1 : SimplexCategoryᵒᵖ), X.leftOp.hom.app X_1 = (X.hom.app (Opposite.unop X_1)).unop- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 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.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.idstatement · cited by 3,333
- Opposite.unopstatement · cited by 2,231
- SimplexCategorystatement and proof · cited by 2,204
- Quiver.Hom.unopstatement · cited by 903
- CategoryTheory.Comma.leftstatement · cited by 886
- CategoryTheory.Comma.rightstatement · cited by 727
- CategoryTheory.SimplicialObjectstatement · cited by 548
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