Theorems · Theorem · measure theory

aestronglyMeasurable_smul_const_iff

∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {𝕜 : Type u_4} [inst : NontriviallyNormedField 𝕜]
  [CompleteSpace 𝕜] {E : Type u_5} [inst_2 : NormedAddCommGroup E] [inst_3 : NormedSpace 𝕜 E] {f : α → 𝕜} {c : E},
  c ≠ 0 → (MeasureTheory.AEStronglyMeasurable (fun x => f x • c) μ ↔ MeasureTheory.AEStronglyMeasurable f μ)

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.Lemmas

Cited by

1 results in Mathlib

Foundations

Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldCompleteSpaceNormedAddCommGroupNormedSpace