Theorems · Theorem · category theory

CategoryTheory.Pseudofunctor.mapComp_id_right_inv

∀ {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 f (CategoryTheory.CategoryStruct.id b)).inv =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.whiskerLeft (F.map f) (F.mapId b).hom)
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.Bicategory.rightUnitor (F.map f)).hom
        (F.map₂ (CategoryTheory.Bicategory.rightUnitor f).inv))

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.Pseudofunctor

Cited by

2 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory