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Theorems · Definition · probability

ProbabilityTheory.Kernel.sectL

{α : Type u_1} →
  {β : Type u_2} →
    {mα : MeasurableSpace α} →
      {mβ : MeasurableSpace β} →
        {γ : Type u_4} →
          {mγ : MeasurableSpace γ} → ProbabilityTheory.Kernel (α × β) γ → β → ProbabilityTheory.Kernel α γ

Define a Kernel α γ from a Kernel (α × β) γ by taking the comap of fun a ↦ (a, b) for a given b : β.

Defined in
Mathlib.Probability.Kernel.Composition.MapComap
Cited by
7 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.sectL_prodMkRight · cited by 1Kernel.sectL_prodMkRightProbabilityTheory.Kernel.sectL_apply · cited by 1Kernel.sectL_applyProbabilityTheory.Kernel.sectL_prodMkLeft · cited by 0Kernel.sectL_prodMkLeftProbabilityTheory.Kernel.sectL_swapRight · cited by 0Kernel.sectL_swapRightProbabilityTheory.Kernel.sectL_zero · cited by 0Kernel.sectL_zeroProbabilityTheory.Kernel.comap_sectL · cited by 0Kernel.comap_sectLProbabilityTheory.Kernel.sectR_swapRight · cited by 0Kernel.sectR_swapRightMeasurableSpace · cited by 13106MeasurableSpaceProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelProbabilityTheory.Kernel.comap · cited by 34Kernel.comapKernel.sectLCITED BYCITES

Cites3

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Cited by7

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