norm_smul

∀ {α : Type u_1} {β : Type u_2} [inst : Norm α] [inst_1 : Norm β] [inst_2 : SMul α β] [NormSMulClass α β] (r : α)
  (x : β), ‖r • x‖ = ‖r‖ * ‖x‖

Defined in: Mathlib.Analysis.Normed.MulAction
Cited by: 242 results in Mathlib
Foundations: Depth 91 from the axioms, rests on 1,597 definitions · uses propext, Classical.choice, Quot.sound
Assumes: Norm Norm SMul NormSMulClass

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