Theorems · Theorem · category theory

CategoryTheory.Bicategory.triangle_assoc

∀ {B : Type u} [self : CategoryTheory.Bicategory B] {a b c : B} (f : a ⟶ b) (g : b ⟶ c) {Z : a ⟶ c}
  (h : CategoryTheory.CategoryStruct.comp f g ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.associator f (CategoryTheory.CategoryStruct.id b) g).hom
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.Bicategory.whiskerLeft f (CategoryTheory.Bicategory.leftUnitor g).hom) h) =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Bicategory.whiskerRight (CategoryTheory.Bicategory.rightUnitor f).hom g) h

Defined in

Mathlib.CategoryTheory.Bicategory.Basic

Cited by

2 results in Mathlib

Foundations

Depth 6 from the axioms · uses Quot.sound

Assumes

CategoryTheory.Bicategory