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Theorems · Definition · category theory

CategoryTheory.CommGrp.toCommMon

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
      [inst_2 : CategoryTheory.BraidedCategory C] → CategoryTheory.CommGrp C → CategoryTheory.CommMon C

A commutative group object is a commutative monoid object.

Defined in
Mathlib.CategoryTheory.Monoidal.CommGrp_
Cited by
1 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategoryCategoryTheory.BraidedCategory
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Around this declaration

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CategoryTheory.CommGrp.toCommMon_X · cited by 0CommGrp.toCommMon_XCategoryTheory.CommGrp.toMon · cited by 0CommGrp.toMonCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.CartesianMonoidalCategory · cited by 947CategoryTheory.CartesianM…CategoryTheory.BraidedCategory · cited by 779CategoryTheory.BraidedCat…CategoryTheory.CommMon · cited by 85CategoryTheory.CommMonCategoryTheory.CommGrp · cited by 74CategoryTheory.CommGrpCategoryTheory.CommGrp.X · cited by 39CommGrp.XCommGrp.toCommMonCITED BYCITES

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Cited by2

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