Theorems · Inductive type · category theory
CategoryTheory.Grp
(C : Type u₁) →
[inst : CategoryTheory.Category.{v₁, u₁} C] → [CategoryTheory.CartesianMonoidalCategory C] → Type (max u₁ v₁)A group object in a Cartesian monoidal category.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 144 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
Cited by191
Results whose statement or proof uses this declaration.
- CategoryTheory.Grp.Xstatement and proof · cited by 99
- CategoryTheory.Grp.toMonstatement and proof · cited by 80
- CategoryTheory.CommGrp.toGrpstatement · cited by 34
- CategoryTheory.Grp.forget₂Monstatement · cited by 32
- CategoryTheory.Functor.mapGrpstatement and proof · cited by 32
- CategoryTheory.Functor.mapCommGrpproof · cited by 25
- CategoryTheory.CommGrp.forget₂Grpstatement · cited by 19
- CategoryTheory.yonedaGrpstatement and proof · cited by 9
- CategoryTheory.Grp.forgetstatement · cited by 7
- CategoryTheory.Functor.mapGrpCompIsostatement and proof · cited by 6
- CategoryTheory.Functor.mapGrpIdIsostatement and proof · cited by 6
- commHopfAlgCatEquivCogrpCommAlgCatstatement and proof · cited by 6