Theorems · Definition
MonoidHom.toAdditive
{α : Type u_3} →
{β : Type u_4} → [inst : MulOneClass α] → [inst_1 : MulOneClass β] → (α →* β) ≃ (Additive α →+ Additive β)Reinterpret α →* β as Additive α →+ Additive β.
- Defined in
- Mathlib.Algebra.Group.TypeTags.Hom
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
- Assumes
- MulOneClassMulOneClass
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
- MulOneClassstatement and proof · cited by 1,018
- Additivestatement and proof · cited by 356
- Additive.ofMulproof · cited by 155
- Additive.toMulproof · cited by 109
Cited by27
Results whose statement or proof uses this declaration.
- FreeAbelianGroup.liftproof · cited by 33
- MulEquiv.toAdditiveproof · cited by 7
- AddMonCat.equivalenceproof · cited by 6
- AddCommMonCat.equivalenceproof · cited by 6
- GrpCat.toAddGrpproof · cited by 4
- CommGrpCat.toAddCommGrpproof · cited by 4
- monoidEndToAdditiveproof · cited by 2
- MulEquiv.Monoid.Endproof · cited by 1
- MulEquiv.toAdditive_apply_symm_applystatement · cited by 0
- MulEquiv.toAdditive_symm_apply_applystatement · cited by 0
- MulEquiv.toAdditive_symm_apply_symm_applystatement · cited by 0
- Subgroup.toAddSubgroup_comapstatement · cited by 0