Theorems · Theorem · category theory
CategoryTheory.CosimplicialObject.Augmented.whiskering_map_app_left
∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] (D : Type u') [inst_1 : CategoryTheory.Category.{v', u'} D]
{X Y : CategoryTheory.Functor C D} (η : X ⟶ Y) (A : CategoryTheory.CosimplicialObject.Augmented C),
(((CategoryTheory.CosimplicialObject.Augmented.whiskering C D).map η).app A).left =
η.app (CategoryTheory.CosimplicialObject.Augmented.point.obj A)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
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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 and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.idstatement · cited by 3,333
- CategoryTheory.CommaMorphism.leftstatement and proof · cited by 526
- CategoryTheory.CosimplicialObjectstatement · cited by 125
- CategoryTheory.CosimplicialObject.Augmentedstatement and proof · cited by 72
- CategoryTheory.CosimplicialObject.conststatement · cited by 55
- CategoryTheory.CosimplicialObject.Augmented.pointstatement · cited by 7
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