Theorems · Definition · category theory
CategoryTheory.Grp.X
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] → CategoryTheory.Grp C → CThe underlying object in the ambient monoidal category
- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 99 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 4 definitions · 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.Grpstatement and proof · cited by 144
Cited by115
Results whose statement or proof uses this declaration.
- CategoryTheory.Grp.toMonproof · cited by 80
- CategoryTheory.Functor.mapGrpproof · cited by 32
- CategoryTheory.Functor.mapCommGrpproof · cited by 25
- CategoryTheory.yonedaGrpproof · cited by 9
- CategoryTheory.Functor.mapGrpCompIsoproof · cited by 6
- commHopfAlgCatEquivCogrpCommAlgCatproof · cited by 6
- CategoryTheory.Functor.mapGrpIdIsoproof · cited by 6
- CategoryTheory.Grp.homMkstatement and proof · cited by 4
- CategoryTheory.Grp.homMk''statement and proof · cited by 4
- CategoryTheory.Grp.mkIsostatement and proof · cited by 4
- CommGrpTypeEquivalenceCommGrp.inverseproof · cited by 4
- CategoryTheory.Functor.mapCommGrpNatIsoproof · cited by 4