Theorems · Definition · category theory
CategoryTheory.CommGrp.X
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] →
[inst_2 : CategoryTheory.BraidedCategory C] → CategoryTheory.CommGrp C → CThe underlying object in the ambient monoidal category
- Defined in
- Mathlib.CategoryTheory.Monoidal.CommGrp_
- Cited by
- 39 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.CommGrpstatement and proof · cited by 74
Cited by47
Results whose statement or proof uses this declaration.
- CategoryTheory.CommGrp.toGrpproof · cited by 34
- CategoryTheory.Functor.mapCommGrpCompIsoproof · cited by 6
- CategoryTheory.Functor.mapCommGrpIdIsoproof · cited by 6
- CategoryTheory.CommGrp.forget₂CommMonproof · cited by 4
- CategoryTheory.CommGrp.mkIsostatement and proof · cited by 3
- CategoryTheory.Preadditive.commGrpEquivalenceAuxproof · cited by 2
- CategoryTheory.CommGrp.toCommMonproof · cited by 1
- CategoryTheory.CommGrp.mkIso_hom_hom_hom_homstatement and proof · cited by 0
- CategoryTheory.CommGrp.mkIso_inv_hom_hom_homstatement and proof · cited by 0
- CategoryTheory.CommGrp.toCommMon_Xstatement · cited by 0
- CategoryTheory.CommGrp.toGrp_Xstatement · cited by 0
- CategoryTheory.CommGrp.trivial_Xstatement and proof · cited by 0