Theorems · Definition · category theory
CategoryTheory.CommGrp.toGrp
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] → CategoryTheory.CommGrp C → CategoryTheory.Grp CA commutative group object is a group object.
- Defined in
- Mathlib.CategoryTheory.Monoidal.CommGrp_
- Cited by
- 34 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Grpstatement · cited by 144
- CategoryTheory.CommGrpstatement and proof · cited by 74
- CategoryTheory.CommGrp.Xproof · cited by 39
Cited by41
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.mapCommGrpproof · cited by 25
- CategoryTheory.CommGrp.forget₂Grpproof · cited by 19
- CategoryTheory.yonedaCommGrpGrpObjproof · cited by 4
- CategoryTheory.Functor.mapCommGrpNatIsoproof · cited by 4
- CategoryTheory.Functor.mapCommGrpNatTransproof · cited by 4
- CategoryTheory.yonedaCommGrpGrpproof · cited by 2
- CategoryTheory.CommGrp.hom_extstatement · cited by 1
- CategoryTheory.CommGrp.mkIso'_hom_hom_hom_homstatement · cited by 0
- CategoryTheory.CommGrp.mkIso'_inv_hom_hom_homstatement · cited by 0
- CategoryTheory.CommGrp.mkIso_hom_hom_hom_homstatement · cited by 0
- CategoryTheory.CommGrp.mkIso_inv_hom_hom_homstatement · cited by 0
- CategoryTheory.CommGrp.toGrp_Xstatement and proof · cited by 0