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Theorems · Definition · probability

ProbabilityTheory.Kernel.swapLeft

{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 (β × α) γ

Define a Kernel (β × α) γ from a Kernel (α × β) γ by taking the comap of Prod.swap.

Defined in
Mathlib.Probability.Kernel.Composition.MapComap
Cited by
8 results in Mathlib
Foundations
Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ProbabilityTheory.Kernel.swapLeft_apply · cited by 1Kernel.swapLeft_applyProbabilityTheory.Kernel.sectL_swapRight · cited by 0Kernel.sectL_swapRightProbabilityTheory.Kernel.sectR_swapRight · cited by 0Kernel.sectR_swapRightProbabilityTheory.Kernel.lintegral_swapLeft · cited by 0Kernel.lintegral_swapLeftProbabilityTheory.Kernel.swapLeft_apply' · cited by 0Kernel.swapLeft_apply'ProbabilityTheory.Kernel.swapLeft_prodMkLeft · cited by 0Kernel.swapLeft_prodMkLeftProbabilityTheory.Kernel.swapLeft_prodMkRight · cited by 0Kernel.swapLeft_prodMkRig…ProbabilityTheory.Kernel.swapLeft_zero · cited by 0Kernel.swapLeft_zeroMeasurableSpace · cited by 13106MeasurableSpaceProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.Kernelmeasurable_swap · cited by 42measurable_swapProbabilityTheory.Kernel.comap · cited by 34Kernel.comapKernel.swapLeftCITED BYCITES

Cites4

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Cited by8

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