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Theorems · Theorem · probability

ProbabilityTheory.Kernel.iIndep.of_subsingleton

∀ {α : Type u_1} {Ω : Type u_2} {ι : Type u_3} {_mα : MeasurableSpace α} {_mΩ : MeasurableSpace Ω}
  {μ : MeasureTheory.Measure α} [Subsingleton ι] {m : ι → MeasurableSpace Ω} {κ : ProbabilityTheory.Kernel α Ω}
  [ProbabilityTheory.IsMarkovKernel κ], ProbabilityTheory.Kernel.iIndep m κ μ
Defined in
Mathlib.Probability.Independence.Kernel.Indep
Cited by
1 results in Mathlib
Foundations
Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SubsingletonProbabilityTheory.IsMarkovKernel
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Around this declaration

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ProbabilityTheory.iIndep.of_subsingleton · cited by 0iIndep.of_subsingletonMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelProbabilityTheory.IsMarkovKernel · cited by 124ProbabilityTheory.IsMarko…ProbabilityTheory.Kernel.iIndep · cited by 33Kernel.iIndepiIndep.of_subsingletonCITED BYCITES

Cites5

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Cited by1

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