Theorems · Inductive type · category theory
CategoryTheory.AddMon
(C : Type u₁) → [inst : CategoryTheory.Category.{v₁, u₁} C] → [CategoryTheory.MonoidalCategory C] → Type (max u₁ v₁)An additive monoid object internal to a monoidal category.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 177 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
Cited by224
Results whose statement or proof uses this declaration.
- CategoryTheory.AddMon.Xstatement and proof · cited by 126
- CategoryTheory.AddMon.Hom.homstatement and proof · cited by 94
- CategoryTheory.AddGrp.toAddMonstatement · cited by 51
- CategoryTheory.Functor.mapAddMonstatement and proof · cited by 28
- CategoryTheory.AddGrp.forget₂Monstatement · cited by 20
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.addMonToLaxMonoidalstatement and proof · cited by 15
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.laxMonoidalToAddMonstatement · cited by 15
- CategoryTheory.AddMon.equivLaxMonoidalFunctorPUnitstatement · cited by 13
- CategoryTheory.AddMon.trivialstatement · cited by 11
- CategoryTheory.AddMon.EquivLaxMonoidalFunctorPUnit.addMonToLaxMonoidalObjstatement and proof · cited by 9
- CategoryTheory.AddMon.forgetstatement and proof · cited by 9
- CategoryTheory.yonedaAddMonstatement and proof · cited by 8
Showing the 200 most cited of 224.