Theorems · Theorem · category theory

CategoryTheory.Bicategory.whiskerLeft_hom_inv_whiskerRight

∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c d : B} (f : a ⟶ b) {g h : b ⟶ c} (η : g ≅ h) (k : c ⟶ d),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Bicategory.whiskerLeft f (CategoryTheory.Bicategory.whiskerRight η.hom k))
      (CategoryTheory.Bicategory.whiskerLeft f (CategoryTheory.Bicategory.whiskerRight η.inv k)) =
    CategoryTheory.CategoryStruct.id (CategoryTheory.CategoryStruct.comp f (CategoryTheory.CategoryStruct.comp g k))

Defined in

Mathlib.CategoryTheory.Bicategory.Basic

Cited by

1 results in Mathlib

Foundations

Depth 6 from the axioms · uses propext

Assumes

CategoryTheory.Bicategory