Theorems · Definition · category theory

CategoryTheory.Pseudofunctor.mapId

{B : Type u₁} →
  [inst : CategoryTheory.Bicategory B] →
    {C : Type u₂} →
      [inst_1 : CategoryTheory.Bicategory C] →
        (self : CategoryTheory.Pseudofunctor B C) →
          (a : B) → self.map (CategoryTheory.CategoryStruct.id a) ≅ CategoryTheory.CategoryStruct.id (self.obj a)

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.Pseudofunctor

Cited by

175 results in Mathlib

Foundations

Depth 4 from the axioms, rests on 21 definitions · uses no axioms

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory