Theorems · Definition · category theory

CategoryTheory.Functor.mapAddGrpIdIso

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      (CategoryTheory.Functor.id C).mapAddGrp ≅ CategoryTheory.Functor.id (CategoryTheory.AddGrp C)

The identity functor is also the identity on additive group objects.

Defined in

Mathlib.CategoryTheory.Monoidal.Grp

Cited by

6 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory