Theorems · Theorem · probability
ProbabilityTheory.measurable_preCDF
∀ {α : Type u_1} {mα : MeasurableSpace α} {ρ : MeasureTheory.Measure (α × ℝ)} {r : ℚ},
Measurable (ProbabilityTheory.preCDF ρ r)- Cited by
- 6 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- ENNRealstatement · cited by 9,879
- Measurablestatement · cited by 1,499
- MeasureTheory.Measure.measurable_rnDerivproof · cited by 75
- MeasureTheory.Measure.fstproof · cited by 70
- MeasureTheory.Measure.IicSndproof · cited by 18
- ProbabilityTheory.preCDFstatement · cited by 15
Cited by6
Results whose statement or proof uses this declaration.
- ProbabilityTheory.measurable_preCDF'proof · cited by 8
- ProbabilityTheory.setLIntegral_preCDF_fstproof · cited by 4
- ProbabilityTheory.preCDF_le_oneproof · cited by 4
- ProbabilityTheory.setIntegral_preCDF_fstproof · cited by 2
- ProbabilityTheory.integrable_preCDFproof · cited by 1
- ProbabilityTheory.monotone_preCDFproof · cited by 1