Theorems · Theorem · probability

ProbabilityTheory.Kernel.iIndepSets.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 → Set (Set Ω)} {κ : ProbabilityTheory.Kernel α Ω}
  [ProbabilityTheory.IsMarkovKernel κ], ProbabilityTheory.Kernel.iIndepSets m κ μ

Defined in

Mathlib.Probability.Independence.Kernel.Indep

Cited by

1 results in Mathlib

Foundations

Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SubsingletonProbabilityTheory.IsMarkovKernel