Theorems · Definition · category theory

CategoryTheory.LaxFunctor.mapId

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

The 2-morphism underlying the lax unity constraint.

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.Lax

Cited by

61 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory