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Theorems · Theorem · probability

ProbabilityTheory.Kernel.IsCondKernel.disintegrate

∀ {α : Type u_1} {β : Type u_2} {Ω : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {mΩ : MeasurableSpace Ω} {κ : ProbabilityTheory.Kernel α (β × Ω)} {κCond : ProbabilityTheory.Kernel (α × β) Ω}
  [self : κ.IsCondKernel κCond], κ.fst.compProd κCond = κ
Defined in
Mathlib.Probability.Kernel.Disintegration.Basic
Cited by
1 results in Mathlib
Foundations
Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
ProbabilityTheory.Kernel.IsCondKernel
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ProbabilityTheory.Kernel.disintegrate · cited by 9Kernel.disintegrateMeasurableSpace · cited by 13106MeasurableSpaceProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelProbabilityTheory.Kernel.compProd · cited by 99Kernel.compProdProbabilityTheory.Kernel.fst · cited by 81Kernel.fstProbabilityTheory.Kernel.IsCondKernel · cited by 3Kernel.IsCondKernelIsCondKernel.disintegrateCITED BYCITES

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