Theorems · Definition · category theory
CategoryTheory.AddMon.X
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → CategoryTheory.AddMon C → CThe underlying object in the ambient monoidal category
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 126 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 4 definitions · 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 and proof · cited by 32,673
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.AddMonstatement and proof · cited by 177
Cited by147
Results whose statement or proof uses this declaration.
- CategoryTheory.AddMon.Hom.homstatement · cited by 94
- CategoryTheory.Functor.mapAddMonproof · cited by 28
- CategoryTheory.AddMon.forgetproof · cited by 9
- CategoryTheory.yonedaAddMonproof · cited by 8
- CategoryTheory.Functor.mapAddMonCompIsoproof · cited by 6
- CategoryTheory.Functor.mapAddMonIdIsoproof · cited by 6
- CategoryTheory.AddGrp.trivialproof · cited by 5
- CategoryTheory.AddMon.Hom.extstatement and proof · cited by 4
- CategoryTheory.Functor.mapAddMonFunctorproof · cited by 4
- CategoryTheory.Functor.mapAddMonNatIsoproof · cited by 4
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.counitIsoAuxstatement and proof · cited by 3