Theorems · Theorem · measure theory

MeasureTheory.weightedSMul_smul

∀ {α : Type u_1} {F : Type u_3} {𝕜 : Type u_4} [inst : NormedAddCommGroup F] [inst_1 : NormedSpace ℝ F]
  {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst_2 : SMul 𝕜 F] [SMulCommClass ℝ 𝕜 F] (c : 𝕜) (s : Set α)
  (x : F), (MeasureTheory.weightedSMul μ s) (c • x) = c • (MeasureTheory.weightedSMul μ s) x

Defined in

Mathlib.MeasureTheory.Integral.Bochner.L1

Cited by

3 results in Mathlib

Foundations

Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedSpaceSMulSMulCommClass