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Theorems · Theorem · probability

ProbabilityTheory.Kernel.snd_apply

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {mγ : MeasurableSpace γ} (κ : ProbabilityTheory.Kernel α (β × γ)) (a : α),
  κ.snd a = MeasureTheory.Measure.map Prod.snd (κ a)
Defined in
Mathlib.Probability.Kernel.Composition.MapComap
Cited by
1 results in Mathlib
Foundations
Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
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ProbabilityTheory.Kernel.snd_apply' · cited by 5Kernel.snd_apply'DFunLike.coe · cited by 62936DFunLike.coeMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelMeasureTheory.Measure.map · cited by 858Measure.mapProbabilityTheory.Kernel.snd · cited by 17Kernel.sndKernel.snd_applyCITED BYCITES

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