Theorems · Theorem · category theory

CategoryTheory.Bicategory.whiskerRight_comp_assoc

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