Theorems · Theorem · harmonic analysis

UnitAddTorus.measurePreserving_equivPiIoc

∀ {d : Type u_1} [inst : Fintype d] (a : d → ℝ),
  MeasureTheory.MeasurePreserving (⇑(UnitAddTorus.measurableEquivPiIoc a)) MeasureTheory.volume
    (MeasureTheory.Measure.comap Subtype.val MeasureTheory.volume)

The equivalence measurableEquivPiIoc is measure preserving.

Defined in: Mathlib.Analysis.Fourier.AddCircleMulti
Cited by: 2 results in Mathlib
Foundations: Depth 248 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Fintype

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Cites45

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coestatement · cited by 62,936
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HasQuotient.Quotientproof · cited by 2,301
MeasureTheory.Measure.restrictproof · cited by 1,646

Cited by2

Results whose statement or proof uses this declaration.

UnitAddTorus.integral_preimageproof · cited by 1
UnitAddTorus.lintegral_preimageproof · cited by 0