Theorems · Definition
AddMonoidHom.toMultiplicativeRight
{α : Type u_3} →
{β : Type u_4} → [inst : MulOneClass α] → [inst_1 : AddZeroClass β] → (Additive α →+ β) ≃ (α →* Multiplicative β)Reinterpret Additive α →+ β as α →* Multiplicative β.
- Defined in
- Mathlib.Algebra.Group.TypeTags.Hom
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses Quot.sound
- Assumes
- MulOneClassAddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- MulOneClassstatement and proof · cited by 1,018
- Multiplicativestatement and proof · cited by 875
- Additivestatement and proof · cited by 356
- Multiplicative.ofAddproof · cited by 237
- Multiplicative.toAddproof · cited by 161
- Additive.ofMulproof · cited by 155
- Additive.toMulproof · cited by 109
Cited by15
Results whose statement or proof uses this declaration.
- MonoidHom.toAdditiveLeftproof · cited by 6
- AddEquiv.toMultiplicativeLeftproof · cited by 4
- AddEquiv.toMultiplicativeRightproof · cited by 4
- groupHomology.mkH1OfIsTrivialproof · cited by 3
- NumberField.Units.logEmbeddingQuotproof · cited by 2
- Valuation.nonempty_rankOne_iff_mulArchimedeanproof · cited by 1
- Additive.addMonoidHom_extstatement and proof · cited by 1
- AddMonoidHom.coe_toMultiplicativeRightstatement · cited by 0
- NumberField.Units.logEmbeddingQuot_injectiveproof · cited by 0
- Additive.addMonoidHom_ext_iffstatement and proof · cited by 0
- AddEquiv.toMultiplicativeLeft_apply_symm_applystatement · cited by 0
- AddEquiv.toMultiplicativeRight_apply_applystatement · cited by 0