Theorems · Theorem · category theory

CategoryTheory.Bicategory.associator_naturality_left

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

Defined in

Mathlib.CategoryTheory.Bicategory.Basic

Cited by

2 results in Mathlib

Foundations

Depth 7 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.Bicategory