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Theorems · Theorem · measure theory

MeasureTheory.volume_preserving_piEquivPiSubtypeProd

∀ {ι : Type u_1} [inst : Fintype ι] (α : ι → Type u_4) [inst_1 : (i : ι) → MeasureTheory.MeasureSpace (α i)]
  [∀ (i : ι), MeasureTheory.SigmaFinite MeasureTheory.volume] (p : ι → Prop) [inst_3 : DecidablePred p],
  MeasureTheory.MeasurePreserving (⇑(MeasurableEquiv.piEquivPiSubtypeProd α p)) MeasureTheory.volume
    MeasureTheory.volume
Defined in
Mathlib.MeasureTheory.Constructions.Pi
Cited by
1 results in Mathlib
Foundations
Depth 232 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeMeasureTheory.MeasureSpaceMeasureTheory.SigmaFiniteDecidablePred
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NumberField.mixedEmbedding.volume_preserving_homeoRealMixedSpacePolarSpace · cited by 2mixedEmbedding.volume_pre…DFunLike.coe · cited by 62936DFunLike.coeFintype · cited by 7736FintypeMeasureTheory.MeasureSpace.volume · cited by 1323MeasureSpace.volumeMeasureTheory.SigmaFinite · cited by 526MeasureTheory.SigmaFiniteMeasurableEquiv · cited by 269MeasurableEquivMeasureTheory.MeasurePreserving · cited by 259MeasureTheory.MeasurePres…MeasureTheory.MeasureSpace · cited by 51MeasureTheory.MeasureSpaceMeasurableEquiv.piEquivPiSubtypeProd · cited by 5MeasurableEquiv.piEquivPi…MeasureTheory.measurePreserving_piEquivPiSubtypeProd · cited by 1MeasureTheory.measurePres…MeasureTheory.volume_preservi…CITED BYCITES

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Cited by1

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