Theorems · Theorem · measure theory

MeasureTheory.AEStronglyMeasurable.fun_const_smul

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  {f : α → β} {𝕜 : Type u_5} [inst_1 : SMul 𝕜 β] [ContinuousConstSMul 𝕜 β],
  MeasureTheory.AEStronglyMeasurable f μ → ∀ (c : 𝕜), MeasureTheory.AEStronglyMeasurable (fun i => c • f i) μ

Eta-expanded form of MeasureTheory.AEStronglyMeasurable.const_smul

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable

Cited by

4 results in Mathlib

Foundations

Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceSMulContinuousConstSMul