Theorems · Theorem · measure theory

IsUnit.aemeasurable_const_smul_iff

∀ {M : Type u_4} {β : Type u_5} {α : Type u_6} [inst : MeasurableSpace β] [inst_1 : MeasurableSpace α] {f : α → β}
  {μ : MeasureTheory.Measure α} [inst_2 : Monoid M] [inst_3 : MulAction M β] [MeasurableConstSMul M β] {c : M},
  IsUnit c → (AEMeasurable (fun x => c • f x) μ ↔ AEMeasurable f μ)

Defined in

Mathlib.MeasureTheory.Group.Arithmetic

Cited by

1 results in Mathlib

Foundations

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

Assumes

MeasurableSpaceMeasurableSpaceMonoidMulActionMeasurableConstSMul