Theorems · Theorem · probability
ProbabilityTheory.cdf_measure_stieltjesFunction
∀ (f : StieltjesFunction ℝ),
Filter.Tendsto (↑f) Filter.atBot (nhds 0) →
Filter.Tendsto (↑f) Filter.atTop (nhds 1) → ProbabilityTheory.cdf f.measure = f- Defined in
- Mathlib.Probability.CDF
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 271 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- ENNRealproof · cited by 9,879
- nhdsstatement and proof · cited by 5,554
- Filter.Tendstostatement and proof · cited by 3,814
- Filter.atTopstatement and proof · cited by 2,405
- sub_zeroproof · cited by 938
- ENNReal.ofRealproof · cited by 863
- Filter.atBotstatement and proof · cited by 512
- MeasureTheory.IsProbabilityMeasureproof · cited by 392
- StieltjesFunction.toFunstatement and proof · cited by 120
- StieltjesFunctionstatement and proof · cited by 85
- ENNReal.ofReal_oneproof · cited by 61
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