Theorems · Theorem · category theory

CategoryTheory.LaxFunctor.comp_mapComp

∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {C : Type u₂} [inst_1 : CategoryTheory.Bicategory C] {D : Type u₃}
  [inst_2 : CategoryTheory.Bicategory D] (F : CategoryTheory.LaxFunctor B C) (G : CategoryTheory.LaxFunctor C D)
  {a b c : B} (f : a ⟶ b) (g : b ⟶ c),
  (F.comp G).mapComp f g = CategoryTheory.CategoryStruct.comp (G.mapComp (F.map f) (F.map g)) (G.map₂ (F.mapComp f g))

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.Lax

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses propext, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.BicategoryCategoryTheory.Bicategory