Theorems · Theorem · category theory

CategoryTheory.Bicategory.whisker_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),
  CategoryTheory.Bicategory.whiskerRight (CategoryTheory.Bicategory.whiskerLeft f η) h =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.associator f g h).hom
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.Bicategory.whiskerLeft f (CategoryTheory.Bicategory.whiskerRight η h))
        (CategoryTheory.Bicategory.associator f g' h).inv)

Defined in

Mathlib.CategoryTheory.Bicategory.Basic

Cited by

7 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.Bicategory