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Theorems · Theorem · group theory

smul_add

∀ {M : Type u_1} {A : Type u_7} [inst : AddZeroClass A] [inst_1 : DistribSMul M A] (a : M) (b₁ b₂ : A),
  a • (b₁ + b₂) = a • b₁ + a • b₂
Defined in
Mathlib.Algebra.GroupWithZero.Action.Defs
Cited by
263 results in Mathlib
Foundations
Depth 5 from the axioms, rests on 22 definitions · uses no axioms
Assumes
AddZeroClassDistribSMul

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