Theorems · Inductive type · category theory
CategoryTheory.AddMonObj
{C : Type u₁} → [inst : CategoryTheory.Category.{v₁, u₁} C] → [CategoryTheory.MonoidalCategory C] → C → Type v₁An additive monoid object internal to a monoidal category.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 158 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 by240
Results whose statement or proof uses this declaration.
- CategoryTheory.AddMonObj.addstatement and proof · cited by 134
- CategoryTheory.AddMonObj.zerostatement and proof · cited by 100
- CategoryTheory.IsAddMonHomstatement · cited by 49
- CategoryTheory.Hom.addMonoidstatement and proof · cited by 44
- CategoryTheory.AddModObjstatement · cited by 27
- CategoryTheory.AddModObj.vaddstatement and proof · cited by 26
- CategoryTheory.IsCommAddMonObjstatement · cited by 23
- CategoryTheory.AddModstatement · cited by 21
- CategoryTheory.AddMod.Xstatement and proof · cited by 19
- CategoryTheory.yonedaAddMonObjstatement and proof · cited by 12
- CategoryTheory.AddMod.Hom.homstatement and proof · cited by 12
- CategoryTheory.IsAddModHomstatement · cited by 10
Showing the 200 most cited of 240.