Theorems · Theorem · measure theory

MeasureTheory.Measure.measurePreserving_zpow

∀ {G : Type u_1} [inst : CommGroup G] [inst_1 : TopologicalSpace G] [IsTopologicalGroup G] [inst_3 : MeasurableSpace G]
  [BorelSpace G] (μ : MeasureTheory.Measure G) [μ.IsHaarMeasure] [CompactSpace G] [RootableBy G ℤ] {n : ℤ},
  n ≠ 0 → MeasureTheory.MeasurePreserving (fun g => g ^ n) μ μ

Defined in

Mathlib.MeasureTheory.Measure.Haar.Unique

Cited by

1 results in Mathlib

Foundations

Depth 280 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupTopologicalSpaceIsTopologicalGroupMeasurableSpaceBorelSpaceMeasureTheory.Measure.IsHaarMeasureCompactSpaceRootableBy