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Theorems · Theorem · probability

ProbabilityTheory.isRatCondKernelCDF_preCDF

∀ {α : Type u_1} {mα : MeasurableSpace α} (ρ : MeasureTheory.Measure (α × ℝ)) [MeasureTheory.IsFiniteMeasure ρ],
  ProbabilityTheory.IsRatCondKernelCDF (fun p r => (ProbabilityTheory.preCDF ρ r p.2).toReal)
    (ProbabilityTheory.Kernel.const Unit ρ) (ProbabilityTheory.Kernel.const Unit ρ.fst)
Defined in
Mathlib.Probability.Kernel.Disintegration.CondCDF
Cited by
2 results in Mathlib
Foundations
Depth 266 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.IsFiniteMeasure
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ProbabilityTheory.isCondKernelCDF_condCDF · cited by 5ProbabilityTheory.isCondK…ProbabilityTheory.condCDF_ae_eq · cited by 1ProbabilityTheory.condCDF…Real · cited by 25697RealMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.IsFiniteMeasure · cited by 1078MeasureTheory.IsFiniteMea…ENNReal.toReal · cited by 859ENNReal.toRealProbabilityTheory.Kernel.const · cited by 93Kernel.constMeasureTheory.Measure.fst · cited by 70Measure.fstProbabilityTheory.IsRatCondKernelCDF · cited by 20ProbabilityTheory.IsRatCo…ProbabilityTheory.preCDF · cited by 15ProbabilityTheory.preCDFProbabilityTheory.IsRatCondKernelCDFAux.isRatCondKernelCDF · cited by 2IsRatCondKernelCDFAux.isR…ProbabilityTheory.isRatCondKernelCDFAux_preCDF · cited by 1ProbabilityTheory.isRatCo…ProbabilityTheory.isRatCondKe…CITED BYCITES

Cites11

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Cited by2

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