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Theorems · Inductive type · probability

ProbabilityTheory.Kernel.IsCondKernel

{α : Type u_1} →
  {β : Type u_2} →
    {Ω : Type u_3} →
      {mα : MeasurableSpace α} →
        {mβ : MeasurableSpace β} →
          {mΩ : MeasurableSpace Ω} → ProbabilityTheory.Kernel α (β × Ω) → ProbabilityTheory.Kernel (α × β) Ω → Prop

A kernel κCond is a conditional kernel for a kernel κ if it disintegrates it in the sense that κ.fst ⊗ₖ κCond = κ.

Defined in
Mathlib.Probability.Kernel.Disintegration.Basic
Cited by
3 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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ProbabilityTheory.Kernel.disintegrate · cited by 9Kernel.disintegrateProbabilityTheory.Kernel.IsCondKernel.disintegrate · cited by 1IsCondKernel.disintegrateProbabilityTheory.Kernel.IsCondKernel.casesOn · cited by 0IsCondKernel.casesOnProbabilityTheory.Kernel.IsCondKernel.isProbabilityMeasure_ae · cited by 0IsCondKernel.isProbabilit…ProbabilityTheory.Kernel.IsCondKernel.recOn · cited by 0IsCondKernel.recOnMeasurableSpace · cited by 13106MeasurableSpaceProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelKernel.IsCondKernelCITED BYCITES

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