Theorems · Definition
AddMonoidHom.toMultiplicative
{α : Type u_3} →
{β : Type u_4} →
[inst : AddZeroClass α] → [inst_1 : AddZeroClass β] → (α →+ β) ≃ (Multiplicative α →* Multiplicative β)Reinterpret α →+ β as Multiplicative α →* Multiplicative β.
- Defined in
- Mathlib.Algebra.Group.TypeTags.Hom
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
- Assumes
- AddZeroClassAddZeroClass
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.
- DFunLike.coeproof · cited by 62,936
- Equivstatement · cited by 8,337
- MonoidHomstatement and proof · cited by 3,629
- AddMonoidHomstatement and proof · cited by 3,230
- AddZeroClassstatement and proof · cited by 1,237
- Multiplicativestatement and proof · cited by 875
- Multiplicative.ofAddproof · cited by 237
- Multiplicative.toAddproof · cited by 161
Cited by29
Results whose statement or proof uses this declaration.
- AddEquiv.toMultiplicativeproof · cited by 8
- AddCommMonCat.equivalenceproof · cited by 6
- AddMonCat.equivalenceproof · cited by 6
- AddGrpCat.toGrpproof · cited by 4
- LocallyFiniteOrder.orderMonoidHomproof · cited by 4
- AddCommGrpCat.toCommGrpproof · cited by 4
- Finsupp.mulHom_ext'statement and proof · cited by 3
- addMonoidEndToMultiplicativeproof · cited by 2
- MulEquiv.AddMonoid.Endproof · cited by 1
- AddMonoidHom.coe_toMultiplicativestatement · cited by 0
- AddMonoidHom.coe_toMultiplicative_mapstatement · cited by 0
- AddGrpCat.toGrp_mapstatement · cited by 0