Theorems · Definition · category theory

CategoryTheory.Equivalence.mapAddGrp

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      {D : Type u₂} →
        [inst_2 : CategoryTheory.Category.{v₂, u₂} D] →
          [inst_3 : CategoryTheory.CartesianMonoidalCategory D] →
            (e : C ≌ D) →
              [e.functor.Monoidal] → [e.inverse.Monoidal] → CategoryTheory.AddGrp C ≌ CategoryTheory.AddGrp D

An equivalence of categories lifts to an equivalence of their additive group objects.

Defined in

Mathlib.CategoryTheory.Monoidal.Grp

Cited by

4 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.Functor.MonoidalCategoryTheory.Functor.Monoidal