Theorems · Theorem
MonoidHom.toAdditiveRight_apply_apply
∀ {α : Type u_3} {β : Type u_4} [inst : AddZeroClass α] [inst_1 : MulOneClass β] (a : Multiplicative α →* β) (a_1 : α),
(MonoidHom.toAdditiveRight a) a_1 = Additive.ofMul (a (Multiplicative.ofAdd a_1))- Defined in
- Mathlib.Algebra.Group.TypeTags.Hom
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses Quot.sound
- Assumes
- AddZeroClassMulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- AddZeroClassstatement and proof · cited by 1,237
- MulOneClassstatement and proof · cited by 1,018
- Multiplicativestatement and proof · cited by 875
- Additivestatement · cited by 356
- Multiplicative.ofAddstatement · cited by 237
- Additive.ofMulstatement · cited by 155
- MonoidHom.toAdditiveRightstatement and proof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- AddMonoidAlgebra.counitAlgHom_comp_mapRingHomproof · cited by 0
- AddMonoidAlgebra.comulAlgHom_comp_mapRingHomproof · cited by 0