Theorems · Theorem · measure theory

aemeasurable_const_smul_iff

∀ {β : Type u_5} {α : Type u_6} [inst : MeasurableSpace β] [inst_1 : MeasurableSpace α] {f : α → β}
  {μ : MeasureTheory.Measure α} {G : Type u_7} [inst_2 : Group G] [inst_3 : MulAction G β] [MeasurableConstSMul G β]
  (c : G), AEMeasurable (fun x => c • f x) μ ↔ AEMeasurable f μ

Defined in

Mathlib.MeasureTheory.Group.Arithmetic

Cited by

1 results in Mathlib

Foundations

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

Assumes

MeasurableSpaceMeasurableSpaceGroupMulActionMeasurableConstSMul