add_smul

∀ {R : Type u_1} {M : Type u_3} [inst : Semiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M] (r s : R) (x : M),
  (r + s) • x = r • x + s • x

Defined in: Mathlib.Algebra.Module.Defs
Cited by: 204 results in Mathlib
Foundations: Depth 13 from the axioms, rests on 115 definitions · uses no axioms
Assumes: Semiring AddCommMonoid Module

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