Theorems · Theorem · measure theory

IsUnit.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} {M : Type u_5} [inst_1 : Monoid M] [inst_2 : MulAction M β] [ContinuousConstSMul M β] {c : M},
  IsUnit c → (MeasureTheory.AEStronglyMeasurable (fun x => c • f x) μ ↔ MeasureTheory.AEStronglyMeasurable f μ)

Defined in

Mathlib.MeasureTheory.Function.StronglyMeasurable.AEStronglyMeasurable

Cited by

2 results in Mathlib

Foundations

Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceMonoidMulActionContinuousConstSMul