Theorems · Theorem · category theory

CategoryTheory.Pseudofunctor.mapComp_id_left_hom

∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {C : Type u₂} [inst_1 : CategoryTheory.Bicategory C]
  (F : CategoryTheory.Pseudofunctor B C) {a b : B} (f : a ⟶ b),
  (F.mapComp (CategoryTheory.CategoryStruct.id a) f).hom =
    CategoryTheory.CategoryStruct.comp (F.map₂ (CategoryTheory.Bicategory.leftUnitor f).hom)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.leftUnitor (F.map f)).inv
        (CategoryTheory.Bicategory.whiskerRight (F.mapId a).inv (F.map f)))

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.Pseudofunctor

Cited by

4 results in Mathlib

Foundations

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

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory