Theorems · Theorem · category theory
CategoryTheory.Bicategory.LeftExtension.whiskering_map
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} {f : a ⟶ b} {g : a ⟶ c} {x : B} (h : c ⟶ x)
{X Y : CategoryTheory.Bicategory.LeftExtension f g} (η : X ⟶ Y),
(CategoryTheory.Bicategory.LeftExtension.whiskering h).map η =
CategoryTheory.Bicategory.LeftExtension.homMk
(CategoryTheory.Bicategory.whiskerRight (CategoryTheory.StructuredArrow.Hom.right η) h) ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Bicategory
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightstatement · cited by 531
- CategoryTheory.StructuredArrow.rightstatement · cited by 213
- CategoryTheory.StructuredArrow.Hom.rightstatement · cited by 82
- CategoryTheory.Bicategory.precompstatement · cited by 40
- CategoryTheory.Bicategory.LeftExtensionstatement and proof · cited by 29
- CategoryTheory.Bicategory.LeftExtension.whiskerstatement · cited by 15
- CategoryTheory.Bicategory.LeftExtension.whiskeringstatement and proof · cited by 2
- CategoryTheory.Bicategory.LeftExtension.homMkstatement · cited by 2
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