Theorems · Definition · category theory
CategoryTheory.CommMon.X
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] → CategoryTheory.CommMon C → CThe underlying object in the ambient monoidal category
- Defined in
- Mathlib.CategoryTheory.Monoidal.CommMon_
- Cited by
- 50 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.CommMonstatement and proof · cited by 85
Cited by60
Results whose statement or proof uses this declaration.
- CategoryTheory.CommMon.toMonproof · cited by 36
- CategoryTheory.Functor.mapCommMonCompIsoproof · cited by 6
- CategoryTheory.Functor.mapCommMonIdIsoproof · cited by 6
- CategoryTheory.Functor.mapCommMonFunctorproof · cited by 3
- CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.unitIsoproof · cited by 3
- CategoryTheory.CommMon.EquivLaxBraidedFunctorPUnit.counitIsoproof · cited by 3
- CategoryTheory.CommMon.mkIsostatement and proof · cited by 1
- CategoryTheory.CommGrp.toCommMon_Xstatement and proof · cited by 0
- CategoryTheory.CommMon.mkIso.congr_simpstatement and proof · cited by 0
- CategoryTheory.CommMon.forget_objstatement · cited by 0
- CategoryTheory.CommMon.forget₂Mon_obj_Xstatement · cited by 0