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Theorems · Theorem · probability

MeasureTheory.Measure.IsCondKernel.disintegrate

∀ {α : Type u_1} {Ω : Type u_3} {mα : MeasurableSpace α} {mΩ : MeasurableSpace Ω} {ρ : MeasureTheory.Measure (α × Ω)}
  {ρCond : ProbabilityTheory.Kernel α Ω} [self : ρ.IsCondKernel ρCond], ρ.fst.compProd ρCond = ρ
Defined in
Mathlib.Probability.Kernel.Disintegration.Basic
Cited by
1 results in Mathlib
Foundations
Depth 226 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.Measure.IsCondKernel
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MeasureTheory.Measure.disintegrate · cited by 12Measure.disintegrateMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelMeasureTheory.Measure.compProd · cited by 132Measure.compProdMeasureTheory.Measure.fst · cited by 70Measure.fstMeasureTheory.Measure.IsCondKernel · cited by 6Measure.IsCondKernelIsCondKernel.disintegrateCITED BYCITES

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