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Theorems · Theorem · measure theory

MeasureTheory.map_smul

∀ {M : Type v} {α : Type w} {m : MeasurableSpace α} [inst : SMul M α] [MeasurableConstSMul M α] (c : M)
  (μ : MeasureTheory.Measure α) [MeasureTheory.SMulInvariantMeasure M α μ],
  MeasureTheory.Measure.map (fun x => c • x) μ = μ
Defined in
Mathlib.MeasureTheory.Group.Action
Cited by
1 results in Mathlib
Foundations
Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SMulMeasurableConstSMulMeasureTheory.SMulInvariantMeasure
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.integral_smul_eq_self · cited by 0MeasureTheory.integral_sm…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.Measure.map · cited by 858Measure.mapMeasureTheory.SMulInvariantMeasure · cited by 115MeasureTheory.SMulInvaria…MeasurableConstSMul · cited by 92MeasurableConstSMulMeasureTheory.MeasurePreserving.map_eq · cited by 72MeasurePreserving.map_eqMeasureTheory.measurePreserving_smul · cited by 17MeasureTheory.measurePres…MeasureTheory.map_smulCITED BYCITES

Cites7

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Cited by1

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