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Theorems · Definition · probability

MeasureTheory.Measure.IsCondKernel.casesOn

{α : Type u_1} →
  {Ω : Type u_3} →
    {mα : MeasurableSpace α} →
      {mΩ : MeasurableSpace Ω} →
        {ρ : MeasureTheory.Measure (α × Ω)} →
          {ρCond : ProbabilityTheory.Kernel α Ω} →
            {motive : ρ.IsCondKernel ρCond → Sort u} →
              (t : ρ.IsCondKernel ρCond) → ((disintegrate : ρ.fst.compProd ρCond = ρ) → motive ⋯) → motive t
Defined in
Mathlib.Probability.Kernel.Disintegration.Basic
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Foundations
Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound
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MeasurableSpace · 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.casesOnCITED BYCITES

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