Theorems · Inductive type · category theory
CategoryTheory.CommMon
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → [CategoryTheory.BraidedCategory C] → Type (max u₁ v₁)A commutative monoid object internal to a monoidal category.
- Defined in
- Mathlib.CategoryTheory.Monoidal.CommMon_
- Cited by
- 85 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MonoidalCategorystatement · cited by 3,095
- CategoryTheory.BraidedCategorystatement · cited by 779
Cited by128
Results whose statement or proof uses this declaration.
- CategoryTheory.CommMon.Xstatement and proof · cited by 50
- CategoryTheory.CommMon.toMonstatement and proof · cited by 36
- CategoryTheory.Functor.mapCommMonstatement and proof · cited by 27
- CategoryTheory.CommMon.forget₂Monstatement · cited by 22
- CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functorstatement and proof · cited by 12
- CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.inversestatement and proof · cited by 12
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraidedstatement and proof · cited by 11
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.laxBraidedToCommMonstatement · cited by 11
- CategoryTheory.Functor.mapCommMonCompIsostatement and proof · cited by 6
- CategoryTheory.Functor.mapCommMonIdIsostatement and proof · cited by 6
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.commMonToLaxBraidedObjstatement and proof · cited by 6
- CategoryTheory.Functor.mapCommMonNatIsostatement and proof · cited by 5