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Theorems · Definition · ring theory

AddMonoidHom.smulLeft

Deprecated since 2026-01-07Use DistribSMul.toAddMonoidHom instead.

{M : Type u_3} → {A : Type u_4} → [inst : AddMonoid A] → [DistribSMul M A] → M → A →+ A

Scalar multiplication on the left as an additive monoid homomorphism. See also the linear map version of this Module.End.smulLeft.

Defined in
Mathlib.Algebra.Module.Hom
Cited by
1 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
AddMonoidDistribSMul
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddMonoidHom.smulLeft_apply · cited by 0AddMonoidHom.smulLeft_app…AddMonoidHom · cited by 3230AddMonoidHomAddMonoid · cited by 2864AddMonoidDistribSMul · cited by 117DistribSMulDistribSMul.toAddMonoidHom · cited by 20DistribSMul.toAddMonoidHomAddMonoidHom.smulLeftCITED BYCITES

Cites4

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Cited by1

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