Theorems · Theorem · category theory

CategoryTheory.Bicategory.whisker_exchange

∀ {B : Type u} [self : CategoryTheory.Bicategory B] {a b c : B} {f g : a ⟶ b} {h i : b ⟶ c} (η : f ⟶ g) (θ : h ⟶ i),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerLeft f θ)
      (CategoryTheory.Bicategory.whiskerRight η i) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerRight η h)
      (CategoryTheory.Bicategory.whiskerLeft g θ)

Defined in

Mathlib.CategoryTheory.Bicategory.Basic

Cited by

13 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.Bicategory