Theorems · Theorem · category theory

CategoryTheory.Bicategory.whiskerLeft_rightUnitor_inv_assoc

∀ {B : Type u} [inst : CategoryTheory.Bicategory B] {a b c : B} (f : a ⟶ b) (g : b ⟶ c) {Z : a ⟶ c}
  (h :
    CategoryTheory.CategoryStruct.comp f (CategoryTheory.CategoryStruct.comp g (CategoryTheory.CategoryStruct.id c)) ⟶
      Z),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Bicategory.whiskerLeft f (CategoryTheory.Bicategory.rightUnitor g).inv) h =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Bicategory.rightUnitor (CategoryTheory.CategoryStruct.comp f g)).inv
      (CategoryTheory.CategoryStruct.comp
        (CategoryTheory.Bicategory.associator f g (CategoryTheory.CategoryStruct.id c)).hom h)

Defined in

Mathlib.CategoryTheory.Bicategory.Basic

Cited by

0 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Bicategory