Theorems · Theorem · category theory
CategoryTheory.Bicategory.LeftLift.w_assoc
∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} {f : b ⟶ a} {g : c ⟶ a}
{s t : CategoryTheory.Bicategory.LeftLift f g} (h : s ⟶ t) {Z : c ⟶ a}
(h_1 : CategoryTheory.CategoryStruct.comp (CategoryTheory.StructuredArrow.right t) f ⟶ Z),
CategoryTheory.CategoryStruct.comp s.unit
(CategoryTheory.CategoryStruct.comp
(CategoryTheory.Bicategory.whiskerRight (CategoryTheory.StructuredArrow.Hom.right h) f) h_1) =
CategoryTheory.CategoryStruct.comp t.unit h_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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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 and proof · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.Bicategory.whiskerRightstatement and proof · cited by 531
- CategoryTheory.StructuredArrow.rightstatement and proof · cited by 213
- CategoryTheory.StructuredArrow.Hom.rightstatement and proof · cited by 82
- CategoryTheory.Bicategory.postcompstatement · cited by 48
- CategoryTheory.Bicategory.LeftLiftstatement and proof · cited by 29
- CategoryTheory.Bicategory.LeftLift.liftstatement · cited by 21
- CategoryTheory.Bicategory.LeftLift.unitstatement and proof · cited by 12
- CategoryTheory.Bicategory.LeftLift.wproof · cited by 1
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