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Theorems · Definition · probability

ProbabilityTheory.Kernel.swapRight

{α : Type u_1} →
  {β : Type u_2} →
    {γ : Type u_3} →
      {mα : MeasurableSpace α} →
        {mβ : MeasurableSpace β} →
          {mγ : MeasurableSpace γ} → ProbabilityTheory.Kernel α (β × γ) → ProbabilityTheory.Kernel α (γ × β)

Define a Kernel α (γ × β) from a Kernel α (β × γ) by taking the map of Prod.swap. We use mapOfMeasurable in the definition for better defeqs.

Defined in
Mathlib.Probability.Kernel.Composition.MapComap
Cited by
7 results in Mathlib
Foundations
Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
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ProbabilityTheory.Kernel.swapRight_apply' · cited by 2Kernel.swapRight_apply'ProbabilityTheory.Kernel.swapRight_apply · cited by 1Kernel.swapRight_applyProbabilityTheory.Kernel.swapRight_eq · cited by 1Kernel.swapRight_eqProbabilityTheory.Kernel.fst_swapRight · cited by 0Kernel.fst_swapRightProbabilityTheory.Kernel.lintegral_swapRight · cited by 0Kernel.lintegral_swapRightProbabilityTheory.Kernel.swapRight_zero · cited by 0Kernel.swapRight_zeroProbabilityTheory.Kernel.snd_swapRight · cited by 0Kernel.snd_swapRightMeasurableSpace · cited by 13106MeasurableSpaceProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.Kernelmeasurable_swap · cited by 42measurable_swapProbabilityTheory.Kernel.mapOfMeasurable · cited by 4Kernel.mapOfMeasurableKernel.swapRightCITED BYCITES

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