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Theorems · Theorem · measure theory

MeasureTheory.volume_preserving_piFinSuccAbove

∀ {n : ℕ} (α : Fin (n + 1) → Type u) [inst : (i : Fin (n + 1)) → MeasureTheory.MeasureSpace (α i)]
  [∀ (i : Fin (n + 1)), MeasureTheory.SigmaFinite MeasureTheory.volume] (i : Fin (n + 1)),
  MeasureTheory.MeasurePreserving (⇑(MeasurableEquiv.piFinSuccAbove α i)) 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

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

torusIntegral_succAbove · cited by 1torusIntegral_succAboveDFunLike.coe · cited by 62936DFunLike.coeMeasureTheory.MeasureSpace.volume · cited by 1323MeasureSpace.volumeMeasureTheory.SigmaFinite · cited by 526MeasureTheory.SigmaFiniteMeasurableEquiv · cited by 269MeasurableEquivMeasureTheory.MeasurePreserving · cited by 259MeasureTheory.MeasurePres…Fin.succAbove · cited by 249Fin.succAboveMeasureTheory.MeasureSpace · cited by 51MeasureTheory.MeasureSpaceMeasurableEquiv.piFinSuccAbove · cited by 7MeasurableEquiv.piFinSucc…MeasureTheory.measurePreserving_piFinSuccAbove · cited by 3MeasureTheory.measurePres…MeasureTheory.volume_preservi…CITED BYCITES

Cites9

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Cited by1

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