Theorems · Definition · category theory
CategoryTheory.AddGrp.X
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] → CategoryTheory.AddGrp C → CThe underlying object in the ambient monoidal category
- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 64 results in Mathlib
- Foundations
- Depth 3 from the axioms · 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.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.AddGrpstatement and proof · cited by 91
Cited by74
Results whose statement or proof uses this declaration.
- CategoryTheory.AddGrp.toAddMonproof · cited by 51
- CategoryTheory.Functor.mapAddGrpproof · cited by 27
- CategoryTheory.yonedaAddGrpproof · cited by 7
- CategoryTheory.Functor.mapAddGrpCompIsoproof · cited by 6
- CategoryTheory.Functor.mapAddGrpIdIsoproof · cited by 6
- CategoryTheory.Functor.mapAddGrpNatIsoproof · cited by 4
- CategoryTheory.AddGrp.mkIsostatement and proof · cited by 3
- CategoryTheory.AddGrp.homMkstatement and proof · cited by 3
- CategoryTheory.Functor.mapAddGrpFunctorproof · cited by 2
- CategoryTheory.AddGrp.homMk''statement and proof · cited by 2
- CategoryTheory.Functor.comp_mapAddGrp_addstatement · cited by 1
- CategoryTheory.Functor.comp_mapAddGrp_zerostatement · cited by 1