Theorems · Definition · category theory

CategoryTheory.Preadditive.commGrpEquivalence

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [CategoryTheory.Preadditive C] →
      [inst_2 : CategoryTheory.CartesianMonoidalCategory C] →
        [inst_3 : CategoryTheory.BraidedCategory C] → C ≌ CategoryTheory.CommGrp C

An additive category is equivalent to its category of commutative group objects.

Defined in

Mathlib.CategoryTheory.Preadditive.CommGrp_

Cited by

11 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.CartesianMonoidalCategoryCategoryTheory.BraidedCategory