Theorems · Theorem · measure theory

MeasureTheory.NullMeasurableSet.smul

∀ {G : Type u} {α : Type w} {m : MeasurableSpace α} [inst : Group G] [inst_1 : MulAction G α]
  {μ : MeasureTheory.Measure α} [MeasureTheory.SMulInvariantMeasure G α μ] [MeasurableConstSMul G α] {s : Set α},
  MeasureTheory.NullMeasurableSet s μ → ∀ (c : G), MeasureTheory.NullMeasurableSet (c • s) μ

Defined in

Mathlib.MeasureTheory.Group.Action

Cited by

4 results in Mathlib

Foundations

Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupMulActionMeasureTheory.SMulInvariantMeasureMeasurableConstSMul