Theorems · Theorem · commutative algebra

Multiset.sum_smul

∀ {R : Type u_5} {M : Type u_6} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] {l : Multiset R}
  {x : M}, l.sum • x = (Multiset.map (fun r => r • x) l).sum

Defined in

Mathlib.Algebra.Module.BigOperators

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Quot.sound

Assumes

SemiringAddCommMonoidModule