Theorems · Theorem
MonoidHom.toAdditive_apply_apply
∀ {α : Type u_3} {β : Type u_4} [inst : MulOneClass α] [inst_1 : MulOneClass β] (f : α →* β) (a : Additive α),
(MonoidHom.toAdditive f) a = Additive.ofMul (f (Additive.toMul a))- Defined in
- Mathlib.Algebra.Group.TypeTags.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
- Assumes
- MulOneClassMulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- MonoidHomstatement and proof · cited by 3,629
- AddMonoidHomstatement · cited by 3,230
- MulOneClassstatement and proof · cited by 1,018
- Additivestatement and proof · cited by 356
- Additive.ofMulstatement · cited by 155
- Additive.toMulstatement · cited by 109
- MonoidHom.toAdditivestatement and proof · cited by 19
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.