Theorems · Theorem · probability
ProbabilityTheory.ofReal_condCDF_ae_eq
∀ {α : Type u_1} {mα : MeasurableSpace α} (ρ : MeasureTheory.Measure (α × ℝ)) [MeasureTheory.IsFiniteMeasure ρ] (r : ℚ),
(fun a => ENNReal.ofReal (↑(ProbabilityTheory.condCDF ρ a) ↑r)) =ᵐ[ρ.fst] ProbabilityTheory.preCDF ρ r- Cited by
- 0 results in Mathlib
- Foundations
- Depth 268 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.
- 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
- MeasureTheory.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- LT.lt.neproof · cited by 872
- ENNReal.ofRealstatement and proof · cited by 863
- ENNReal.toRealproof · cited by 859
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.