Theorems · Theorem · probability

ProbabilityTheory.iCondIndep.iCondIndepSets

∀ {Ω : Type u_1} {ι : Type u_2} {m' mΩ : MeasurableSpace Ω} [inst : StandardBorelSpace Ω] {hm' : m' ≤ mΩ}
  {μ : MeasureTheory.Measure Ω} [inst_1 : MeasureTheory.IsFiniteMeasure μ] {m : ι → MeasurableSpace Ω}
  {s : ι → Set (Set Ω)},
  (∀ (n : ι), m n = MeasurableSpace.generateFrom (s n)) →
    ProbabilityTheory.iCondIndep m' hm' m μ → ProbabilityTheory.iCondIndepSets m' hm' s μ

Defined in

Mathlib.Probability.Independence.Conditional

Cited by

0 results in Mathlib

Foundations

Depth 284 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

StandardBorelSpaceMeasureTheory.IsFiniteMeasure