Theorems · Theorem · probability
ProbabilityTheory.integrable_condCDF
∀ {α : Type u_1} {mα : MeasurableSpace α} (ρ : MeasureTheory.Measure (α × ℝ)) [MeasureTheory.IsFiniteMeasure ρ] (x : ℝ),
MeasureTheory.Integrable (fun a => ↑(ProbabilityTheory.condCDF ρ a) x) ρ.fst- Cited by
- 0 results in Mathlib
- Foundations
- Depth 268 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.Integrablestatement · cited by 1,367
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- StieltjesFunction.toFunstatement · cited by 120
- MeasureTheory.Measure.fststatement · cited by 70
- ProbabilityTheory.condCDFstatement · cited by 20
- ProbabilityTheory.isCondKernelCDF_condCDFproof · cited by 5
- ProbabilityTheory.IsCondKernelCDF.integrableproof · cited by 2
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