Theorems · Theorem · category theory

CategoryTheory.Bicategory.id_whiskerLeft_assoc

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

Defined in

Mathlib.CategoryTheory.Bicategory.Basic

Cited by

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Foundations

Depth 6 from the axioms · uses Quot.sound

Assumes

CategoryTheory.Bicategory