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Theorems · Theorem · measure theory

MeasureTheory.Measure.volume_pi_eq_dirac

∀ {ι : Type u_4} [inst : Fintype ι] [inst_1 : IsEmpty ι] {α : ι → Type u_5}
  [inst_2 : (i : ι) → MeasureTheory.MeasureSpace (α i)] (x : optParam ((a : ι) → α a) fun a => isEmptyElim a),
  MeasureTheory.volume = MeasureTheory.Measure.dirac x
Defined in
Mathlib.MeasureTheory.Constructions.Pi
Cited by
1 results in Mathlib
Foundations
Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeIsEmptyMeasureTheory.MeasureSpace
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Around this declaration

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

volume_euclideanSpace_eq_dirac · cited by 0volume_euclideanSpace_eq_…MeasureTheory.Measure · cited by 10939MeasureTheory.MeasureFintype · cited by 7736FintypeMeasureTheory.MeasureSpace.volume · cited by 1323MeasureSpace.volumeIsEmpty · cited by 759IsEmptyMeasureTheory.Measure.dirac · cited by 210Measure.diracisEmptyElim · cited by 59isEmptyElimMeasureTheory.MeasureSpace · cited by 51MeasureTheory.MeasureSpaceMeasureTheory.Measure.pi_of_empty · cited by 6Measure.pi_of_emptyMeasure.volume_pi_eq_diracCITED BYCITES

Cites8

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Cited by1

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