Theorems · Theorem · category theory

CategoryTheory.Lax.LaxTrans.LaxFunctor.bicategory_whiskerLeft_as_app

∀ (B : Type u₁) [inst : CategoryTheory.Bicategory B] (C : Type u₂) [inst_1 : CategoryTheory.Bicategory C]
  {x x_1 x_2 : CategoryTheory.LaxFunctor B C} (η : x ⟶ x_1) (x_3 x_4 : x_1 ⟶ x_2) (Γ : x_3 ⟶ x_4) (a : B),
  (CategoryTheory.Bicategory.whiskerLeft η Γ).as.app a = CategoryTheory.Bicategory.whiskerLeft (η.app a) (Γ.as.app a)

Defined in

Mathlib.CategoryTheory.Bicategory.FunctorBicategory.Lax

Cited by

0 results in Mathlib

Foundations

Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory