Theorems · Definition · group theory
FiniteAddGrp.ofHom
{X Y : Type u} →
[inst : AddGroup X] →
[inst_1 : Finite X] →
[inst_2 : AddGroup Y] → [inst_3 : Finite Y] → (X →+ Y) → (FiniteAddGrp.of X ⟶ FiniteAddGrp.of Y)The morphism in FiniteAddGrp, induced from a morphism of the category AddGrpCat
- Defined in
- Mathlib.Algebra.Category.Grp.FiniteGrp
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- AddGroupstatement and proof · cited by 4,410
- AddMonoidHomstatement and proof · cited by 3,230
- Finitestatement and proof · cited by 3,029
- CategoryTheory.InducedCategory.homMkproof · cited by 33
- AddGrpCat.ofHomproof · cited by 17
- FiniteAddGrpstatement · cited by 7
- FiniteAddGrp.ofstatement · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- ProfiniteAddGrp.toFiniteQuotientFunctorproof · cited by 2
- FiniteAddGrp.ofHom_applystatement · cited by 0
- ProfiniteAddGrp.ProfiniteCompletion.quotientMapproof · cited by 0
- ProfiniteAddGrp.ProfiniteCompletion.finiteAddGrpDiagramproof · cited by 0