Theorems · Theorem · category theory

CategoryTheory.LaxFunctor.comp_mapId

∀ {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), (F.comp G).mapId a = CategoryTheory.CategoryStruct.comp (G.mapId (F.obj a)) (G.map₂ (F.mapId a))

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