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Theorems · Theorem · measure theory

MeasureTheory.volume_preserving_piFinTwo

∀ (α : Fin 2 → Type u) [inst : (i : Fin 2) → MeasureTheory.MeasureSpace (α i)]
  [∀ (i : Fin 2), MeasureTheory.SigmaFinite MeasureTheory.volume],
  MeasureTheory.MeasurePreserving (⇑(MeasurableEquiv.piFinTwo α)) 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
MeasureTheory.MeasureSpaceMeasureTheory.SigmaFinite
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Around this declaration

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MeasureTheory.hausdorffMeasure_prod_real · cited by 0MeasureTheory.hausdorffMe…DFunLike.coe · cited by 62936DFunLike.coeMeasureTheory.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.piFinTwo · cited by 6MeasurableEquiv.piFinTwoMeasureTheory.measurePreserving_piFinTwo · cited by 2MeasureTheory.measurePres…MeasureTheory.volume_preservi…CITED BYCITES

Cites8

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Cited by1

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