Theorems · Definition · category theory

CategoryTheory.OplaxFunctor.mapId

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

The 2-morphism underlying the oplax unity constraint.

Defined in

Mathlib.CategoryTheory.Bicategory.Functor.Oplax

Cited by

52 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.BicategoryCategoryTheory.Bicategory