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Theorems · Theorem · probability

MeasureTheory.levyProkhorovEDist_ne_top

∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [inst_1 : PseudoEMetricSpace Ω] (μ ν : MeasureTheory.Measure Ω)
  [MeasureTheory.IsFiniteMeasure μ] [MeasureTheory.IsFiniteMeasure ν], MeasureTheory.levyProkhorovEDist μ ν ≠ ⊤
Defined in
Mathlib.MeasureTheory.Measure.LevyProkhorovMetric
Cited by
1 results in Mathlib
Foundations
Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpacePseudoEMetricSpaceMeasureTheory.IsFiniteMeasureMeasureTheory.IsFiniteMeasure
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Around this declaration

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

MeasureTheory.LevyProkhorov.continuous_toMeasure_probabilityMeasure · cited by 1LevyProkhorov.continuous_…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealTop.top · cited by 9680Top.topPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceMeasureTheory.IsFiniteMeasure · cited by 1078MeasureTheory.IsFiniteMea…LT.lt.ne · cited by 872lt.neMeasureTheory.levyProkhorovEDist · cited by 20MeasureTheory.levyProkhor…MeasureTheory.levyProkhorovEDist_lt_top · cited by 2MeasureTheory.levyProkhor…MeasureTheory.levyProkhorovED…CITED BYCITES

Cites9

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Cited by1

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