Theorems · Theorem · measure theory

aestronglyMeasurable_const_smul_iff

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  {f : α → β} {G : Type u_6} [inst_1 : Group G] [inst_2 : MulAction G β] [ContinuousConstSMul G β] (c : G),
  MeasureTheory.AEStronglyMeasurable (fun x => c • f x) μ ↔ MeasureTheory.AEStronglyMeasurable f μ

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable

Cited by

1 results in Mathlib

Foundations

Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceGroupMulActionContinuousConstSMul