Theorems · Theorem · probability
MeasureTheory.levyProkhorovEDist_lt_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 < ⊤- Cited by
- 2 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- Set.univproof · cited by 3,945
- PseudoEMetricSpacestatement and proof · cited by 1,536
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- LE.le.trans_ltproof · cited by 795
- MeasureTheory.levyProkhorovEDiststatement · cited by 20
- MeasureTheory.levyProkhorovEDist_le_max_measure_univproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.levyProkhorovEDist_ne_topproof · cited by 1
- MeasureTheory.levyProkhorovDist_triangleproof · cited by 0