Theorems · Theorem · probability
ProbabilityTheory.integrable_preCDF
∀ {α : Type u_1} {mα : MeasurableSpace α} (ρ : MeasureTheory.Measure (α × ℝ)) [MeasureTheory.IsFiniteMeasure ρ] (x : ℚ),
MeasureTheory.Integrable (fun a => (ProbabilityTheory.preCDF ρ x a).toReal) ρ.fst- Cited by
- 1 results in Mathlib
- Foundations
- Depth 219 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- Top.topproof · cited by 9,680
- Set.univproof · cited by 3,945
- LE.le.transproof · cited by 3,151
- MeasurableSetproof · cited by 3,075
- Filter.univ_mem'proof · cited by 1,672
- MeasureTheory.Measure.restrictproof · cited by 1,646
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.isRatCondKernelCDFAux_preCDFproof · cited by 1