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 →
    ∀ {X : Type u_2} [inst_8 : MeasurableSpace X] {μ' : MeasureTheory.Measure X} {f : X → G},
      MeasureTheory.MeasurePreserving f μ' μ → MeasureTheory.MeasurePreserving (fun x => f x ^ n) μ' μ

Defined in

Mathlib.MeasureTheory.Measure.Haar.Unique

Cited by

0 results in Mathlib

Foundations

Depth 281 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupTopologicalSpaceIsTopologicalGroupMeasurableSpaceBorelSpaceMeasureTheory.Measure.IsHaarMeasureCompactSpaceRootableByMeasurableSpace