Theorems · Inductive type · category theory
CategoryTheory.CommGrp
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] → [CategoryTheory.BraidedCategory C] → Type (max u₁ v₁)A commutative group object internal to a Cartesian monoidal category.
- Defined in
- Mathlib.CategoryTheory.Monoidal.CommGrp_
- Cited by
- 74 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 · cited by 32,673
- CategoryTheory.CartesianMonoidalCategorystatement · cited by 947
- CategoryTheory.BraidedCategorystatement · cited by 779
Cited by113
Results whose statement or proof uses this declaration.
- CategoryTheory.CommGrp.Xstatement and proof · cited by 39
- CategoryTheory.CommGrp.toGrpstatement and proof · cited by 34
- CategoryTheory.Functor.mapCommGrpstatement and proof · cited by 25
- CategoryTheory.CommGrp.forget₂Grpstatement · cited by 19
- CategoryTheory.Preadditive.commGrpEquivalencestatement · cited by 11
- CategoryTheory.CommGrp.forgetstatement · cited by 8
- CategoryTheory.Preadditive.toCommGrpstatement · cited by 7
- CategoryTheory.Functor.mapCommGrpCompIsostatement and proof · cited by 6
- CategoryTheory.Functor.mapCommGrpIdIsostatement and proof · cited by 6
- CategoryTheory.yonedaCommGrpGrpObjstatement and proof · cited by 4
- CategoryTheory.Equivalence.mapCommGrpstatement · cited by 4
- CommGrpTypeEquivalenceCommGrp.inversestatement · cited by 4