Theorems · Theorem · category theory
CategoryTheory.Bicategory.RightLift.whisker_counit
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} {f : b ⟶ a} {g : c ⟶ a}
(t : CategoryTheory.Bicategory.RightLift f g) {x : B} (h : x ⟶ c),
(t.whisker h).counit =
CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.associator h t.lift f).hom
(CategoryTheory.Bicategory.whiskerLeft h t.counit)- Cited by
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- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Bicategory
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Cites10
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- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Iso.homstatement · cited by 7,684
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerLeftstatement · cited by 524
- CategoryTheory.Bicategory.associatorstatement · cited by 405
- CategoryTheory.Bicategory.RightLiftstatement and proof · cited by 19
- CategoryTheory.Bicategory.RightLift.liftstatement · cited by 13
- CategoryTheory.Bicategory.RightLift.counitstatement · cited by 8
- CategoryTheory.Bicategory.RightLift.whiskerstatement · cited by 8
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