Theorems · Theorem · category theory

CategoryTheory.Pseudofunctor.mapComp_id_left

∀ {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 =
    F.map₂Iso (CategoryTheory.Bicategory.leftUnitor f) ≪≫
      (CategoryTheory.Bicategory.leftUnitor (F.map f)).symm ≪≫
        (CategoryTheory.Bicategory.whiskerRightIso (F.mapId a) (F.map f)).symm

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.Pseudofunctor

Cited by

2 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory