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Theorems · Theorem · probability

ProbabilityTheory.Kernel.map_of_not_measurable

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {γ : Type u_4}
  {mγ : MeasurableSpace γ} (κ : ProbabilityTheory.Kernel α β) {f : β → γ}, ¬Measurable f → κ.map f = 0
Defined in
Mathlib.Probability.Kernel.Composition.MapComap
Cited by
7 results in Mathlib
Foundations
Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
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ProbabilityTheory.Kernel.map_comp · cited by 6Kernel.map_compProbabilityTheory.Kernel.map_zero · cited by 4Kernel.map_zeroProbabilityTheory.Kernel.fst_map_prod · cited by 1Kernel.fst_map_prodProbabilityTheory.Kernel.snd_map_prod · cited by 1Kernel.snd_map_prodProbabilityTheory.Kernel.map_prodMkLeft · cited by 0Kernel.map_prodMkLeftProbabilityTheory.Kernel.map_prodMkRight · cited by 0Kernel.map_prodMkRightProbabilityTheory.Kernel.sum_map_seq · cited by 0Kernel.sum_map_seqMeasurableSpace · cited by 13106MeasurableSpaceMeasurable · cited by 1499MeasurableProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelProbabilityTheory.Kernel.map · cited by 84Kernel.mapKernel.map_of_not_measurableCITED BYCITES

Cites4

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Cited by7

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