Theorems · Definition · category theory
CategoryTheory.AddMon.Hom.hom
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → {M N : CategoryTheory.AddMon C} → M.Hom N → (M.X ⟶ N.X)The underlying morphism
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 94 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 11 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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 · cited by 32,603
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.AddMonstatement and proof · cited by 177
- CategoryTheory.AddMon.Xstatement · cited by 126
- CategoryTheory.AddMon.Homstatement and proof · cited by 8
Cited by100
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.mapAddMonproof · cited by 28
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.addMonToLaxMonoidalproof · cited by 15
- CategoryTheory.AddMon.forgetproof · cited by 9
- CategoryTheory.yonedaAddMonproof · cited by 8
- CategoryTheory.AddMon.Hom.extstatement and proof · cited by 4
- CategoryTheory.AddMon.Hom.ext'statement and proof · cited by 1
- CategoryTheory.AddMon.Hom.hom_nsmulstatement and proof · cited by 1
- CategoryTheory.Functor.FullyFaithful.mapAddMonproof · cited by 1
- CategoryTheory.AddMon.compproof · cited by 1
- CategoryTheory.AddMon.comp_hom'statement · cited by 1
- CategoryTheory.AddGrp.comp_hom_homstatement · cited by 1
- CategoryTheory.AddGrp.hom_extstatement and proof · cited by 1