Theorems · Definition · category theory

CategoryTheory.CommGrp.toMon

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

A commutative group object is a monoid object.

Defined in: Mathlib.CategoryTheory.Monoidal.CommGrp_
Cited by: 0 results in Mathlib
Foundations: Depth 8 from the axioms · uses no axioms
Assumes: CategoryTheory.Category CategoryTheory.CartesianMonoidalCategory CategoryTheory.BraidedCategory

Mathlib docs Source Loogle LeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
CategoryTheory.BraidedCategorystatement and proof · cited by 779
CategoryTheory.Monstatement · cited by 465
CategoryTheory.CommGrpstatement and proof · cited by 74
CategoryTheory.CommMon.toMonproof · cited by 36
CategoryTheory.CommGrp.toCommMonproof · cited by 1

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.