Theorems · Theorem · category theory
CategoryTheory.Bicategory.LeftLift.homMk.congr_simp
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} {f : b ⟶ a} {g : c ⟶ a}
{s t : CategoryTheory.Bicategory.LeftLift f g} (η η_1 : s.lift ⟶ t.lift) (e_η : η = η_1)
(w : CategoryTheory.CategoryStruct.comp s.unit (CategoryTheory.Bicategory.whiskerRight η f) = t.unit),
CategoryTheory.Bicategory.LeftLift.homMk η w = CategoryTheory.Bicategory.LeftLift.homMk η_1 ⋯- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Bicategory
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Cites9
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 and proof · cited by 17,999
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightstatement and proof · cited by 531
- CategoryTheory.Bicategory.postcompstatement · cited by 48
- CategoryTheory.Bicategory.LeftLiftstatement and proof · cited by 29
- CategoryTheory.Bicategory.LeftLift.liftstatement and proof · cited by 21
- CategoryTheory.Bicategory.LeftLift.unitstatement and proof · cited by 12
- CategoryTheory.Bicategory.LeftLift.homMkstatement and proof · cited by 2
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