Theorems · Theorem · category theory

CategoryTheory.Bicategory.whisker_assoc_assoc

∀ {B : Type u} [self : CategoryTheory.Bicategory B] {a b c d : B} (f : a ⟶ b) {g g' : b ⟶ c} (η : g ⟶ g') (h : c ⟶ d)
  {Z : a ⟶ d} (h_1 : CategoryTheory.CategoryStruct.comp (CategoryTheory.CategoryStruct.comp f g') h ⟶ Z),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Bicategory.whiskerRight (CategoryTheory.Bicategory.whiskerLeft f η) h) h_1 =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.associator f g h).hom
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.Bicategory.whiskerLeft f (CategoryTheory.Bicategory.whiskerRight η h))
        (CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.associator f g' h).inv h_1))

Defined in

Mathlib.CategoryTheory.Bicategory.Basic

Cited by

0 results in Mathlib

Foundations

Depth 6 from the axioms · uses Quot.sound

Assumes

CategoryTheory.Bicategory