Theorems · Theorem · category theory

CategoryTheory.Bicategory.Pseudofunctor.ofOplaxFunctorToLocallyGroupoid_mapIdIso_inv

∀ {B : Type u₁} [inst : CategoryTheory.Bicategory B] {B' : Type u₂} [inst_1 : CategoryTheory.Bicategory B']
  [inst_2 : CategoryTheory.Bicategory.IsLocallyGroupoid B] (F : CategoryTheory.OplaxFunctor B' B) (x : B'),
  ((CategoryTheory.Bicategory.Pseudofunctor.ofOplaxFunctorToLocallyGroupoid F).mapIdIso x).inv =
    CategoryTheory.inv (F.mapId x)

Defined in

Mathlib.CategoryTheory.Bicategory.LocallyGroupoid

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses Classical.choice

Assumes

CategoryTheory.BicategoryCategoryTheory.BicategoryCategoryTheory.Bicategory.IsLocallyGroupoid