Theorems · Definition · category theory
CategoryTheory.Grp.toMon
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.CartesianMonoidalCategory C] → CategoryTheory.Grp C → CategoryTheory.Mon CA group object is a monoid object.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Grp
- Cited by
- 80 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.Monstatement · cited by 465
- CategoryTheory.Grpstatement and proof · cited by 144
- CategoryTheory.Grp.Xproof · cited by 99
Cited by84
Results whose statement or proof uses this declaration.
- CategoryTheory.Grp.forget₂Monproof · cited by 32
- CategoryTheory.Functor.mapGrpNatTransproof · cited by 3
- CategoryTheory.Grp.homMk'statement and proof · cited by 2
- CategoryTheory.Grp.hom_extstatement · cited by 2
- CategoryTheory.Grp.comp'statement · cited by 1
- CategoryTheory.Grp.comp_hom_homstatement · cited by 1
- CategoryTheory.CommGrp.hom_extstatement · cited by 1
- CategoryTheory.Grp.Hom.hom_powstatement · 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