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Theorems · Theorem · probability

ProbabilityTheory.HasCondDistrib.aemeasurable_snd

∀ {Ω : Type u_1} {𝓧 : Type u_2} {𝓨 : Type u_3} {mΩ : MeasurableSpace Ω} {m𝓧 : MeasurableSpace 𝓧}
  {m𝓨 : MeasurableSpace 𝓨} {P : MeasureTheory.Measure Ω} {X : Ω → 𝓧} {Y : Ω → 𝓨} {κ : ProbabilityTheory.Kernel 𝓧 𝓨},
  ProbabilityTheory.HasCondDistrib Y X κ P → AEMeasurable Y P
Defined in
Mathlib.Probability.HasCondDistrib
Cited by
4 results in Mathlib
Foundations
Depth 227 from the axioms · uses propext, Classical.choice, Quot.sound
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ProbabilityTheory.HasCondDistrib.comp_left · cited by 2HasCondDistrib.comp_leftProbabilityTheory.HasCondDistrib.comp_right · cited by 1HasCondDistrib.comp_rightProbabilityTheory.HasCondDistrib.hasLaw_of_const · cited by 0HasCondDistrib.hasLaw_of_…ProbabilityTheory.HasCondDistrib.of_compProd · cited by 0HasCondDistrib.of_compProdMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelAEMeasurable · cited by 840AEMeasurableProbabilityTheory.HasLaw.aemeasurable · cited by 24HasLaw.aemeasurableAEMeasurable.snd · cited by 23AEMeasurable.sndProbabilityTheory.HasCondDistrib · cited by 10ProbabilityTheory.HasCond…HasCondDistrib.aemeasurable_s…CITED BYCITES

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