Theorems · Theorem · probability
ProbabilityTheory.monotone_preCDF
∀ {α : Type u_1} {mα : MeasurableSpace α} (ρ : MeasureTheory.Measure (α × ℝ)) [MeasureTheory.IsFiniteMeasure ρ],
∀ᵐ (a : α) ∂ρ.fst, Monotone fun r => ProbabilityTheory.preCDF ρ r a- Cited by
- 1 results in Mathlib
- Foundations
- Depth 218 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- ENNRealstatement and proof · cited by 9,879
- Top.topproof · cited by 9,680
- Filter.Eventuallystatement · cited by 3,134
- MeasurableSetproof · cited by 3,075
- MeasureTheory.aestatement · cited by 2,352
- MeasureTheory.Measure.restrictproof · cited by 1,646
- Monotonestatement · cited by 1,397
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.isRatCondKernelCDFAux_preCDFproof · cited by 1