Theorems · Definition · probability

ProbabilityTheory.Kernel.snd

{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

Define a Kernel α γ from a Kernel α (β × γ) by taking the map of the second projection. We use mapOfMeasurable for better defeqs.

Defined in: Mathlib.Probability.Kernel.Composition.MapComap
Cited by: 17 results in Mathlib
Foundations: Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

MeasurableSpacestatement and proof · cited by 13,106
ProbabilityTheory.Kernelstatement and proof · cited by 1,281
measurable_sndproof · cited by 94
ProbabilityTheory.Kernel.mapOfMeasurableproof · cited by 4

Cited by17

Results whose statement or proof uses this declaration.

ProbabilityTheory.Kernel.snd_apply'statement · cited by 5
ProbabilityTheory.Kernel.snd_eqstatement · cited by 4
ProbabilityTheory.Kernel.comp_eq_snd_compProdstatement and proof · cited by 2
ProbabilityTheory.Kernel.compProd_prodMkLeft_eq_compproof · cited by 1
ProbabilityTheory.Kernel.snd_applystatement · cited by 1
ProbabilityTheory.Kernel.snd_map_prodstatement and proof · cited by 1
ProbabilityTheory.Kernel.snd_prodstatement · cited by 1
ProbabilityTheory.Kernel.snd_zerostatement · cited by 1
ProbabilityTheory.Kernel.lintegral_sndstatement · cited by 0
ProbabilityTheory.HasCondDistrib.sndstatement · cited by 0
ProbabilityTheory.Kernel.fst_swapRightstatement and proof · cited by 0
ProbabilityTheory.Kernel.snd_compstatement · cited by 0