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Theorems · Theorem · probability

ProbabilityTheory.Kernel.iIndepFun.of_subsingleton

∀ {α : Type u_1} {Ω : Type u_2} {ι : Type u_3} {_mα : MeasurableSpace α} {_mΩ : MeasurableSpace Ω}
  {κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α} [Subsingleton ι] {β : ι → Type u_10}
  {m : (i : ι) → MeasurableSpace (β i)} {f : (i : ι) → Ω → β i} [ProbabilityTheory.IsMarkovKernel κ],
  ProbabilityTheory.Kernel.iIndepFun f κ μ
Defined in
Mathlib.Probability.Independence.Kernel.IndepFun
Cited by
2 results in Mathlib
Foundations
Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SubsingletonProbabilityTheory.IsMarkovKernel
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ProbabilityTheory.iIndepFun.of_subsingleton · cited by 1iIndepFun.of_subsingletonProbabilityTheory.iCondIndepFun.of_subsingleton · cited by 0iCondIndepFun.of_subsingl…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelProbabilityTheory.IsMarkovKernel · cited by 124ProbabilityTheory.IsMarko…ProbabilityTheory.Kernel.iIndepFun · cited by 65Kernel.iIndepFuniIndepFun.of_subsingletonCITED BYCITES

Cites5

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Cited by2

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