Theorems · Definition · category theory
CategoryTheory.AddGrp.toAddMon
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] → CategoryTheory.AddGrp C → CategoryTheory.AddMon CAn additive group object is an additive monoid object.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 51 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.AddMonstatement · cited by 177
- CategoryTheory.AddGrpstatement and proof · cited by 91
- CategoryTheory.AddGrp.Xproof · cited by 64
Cited by55
Results whose statement or proof uses this declaration.
- CategoryTheory.AddGrp.forget₂Monproof · cited by 20
- CategoryTheory.Functor.mapAddGrpNatTransproof · cited by 3
- CategoryTheory.AddGrp.Hom.hom_nsmulstatement · cited by 1
- CategoryTheory.AddGrp.comp'statement · cited by 1
- CategoryTheory.AddGrp.comp_hom_homstatement · cited by 1
- CategoryTheory.AddGrp.homMk'statement and proof · cited by 1
- CategoryTheory.AddGrp.hom_extstatement · cited by 1
- CategoryTheory.AddGrp.id'statement · cited by 0
- CategoryTheory.AddGrp.id_hom_homstatement · cited by 0
- CategoryTheory.AddGrp.Hom.hom_addstatement · cited by 0
- CategoryTheory.AddGrp.Hom.hom_hom_negstatement · cited by 0
- CategoryTheory.yonedaAddGrp_map_appstatement · cited by 0