Theorems · Definition · category theory
CategoryTheory.CommMon.homMk
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] → {A B : CategoryTheory.CommMon C} → (A.toMon ⟶ B.toMon) → (A ⟶ B)Constructor for morphisms in CommMon C.
- Defined in
- Mathlib.CategoryTheory.Monoidal.CommMon_
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.CommMonstatement and proof · cited by 85
- CategoryTheory.CommMon.toMonstatement and proof · cited by 36
Cited by12
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.mapCommMonproof · cited by 27
- CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functorproof · cited by 12
- CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.inverseproof · cited by 12
- CategoryTheory.CommGrp.forget₂CommMonproof · cited by 4
- CategoryTheory.Functor.mapCommMonNatTransproof · cited by 4
- CategoryTheory.Functor.mapCommMonFunctorproof · cited by 3
- CategoryTheory.Functor.FullyFaithful.mapCommMonproof · cited by 1
- CategoryTheory.Functor.FullyFaithful.mapCommMon_preimagestatement · cited by 0
- CategoryTheory.Functor.mapCommMonFunctor_map_appstatement · cited by 0
- CommMonTypeEquivalenceCommMon.inverseproof · cited by 0
- CategoryTheory.CommMon.homMk_homstatement and proof · cited by 0
- CategoryTheory.Monoidal.CommMonFunctorCategoryEquivalence.functor_map_app_hom_homstatement · cited by 0