Theorems · Theorem · probability

ProbabilityTheory.CondIndepSets.iUnion

∀ {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] {s : ι → Set (Set Ω)} {s' : Set (Set Ω)},
  (∀ (n : ι), ProbabilityTheory.CondIndepSets m' hm' (s n) s' μ) →
    ProbabilityTheory.CondIndepSets m' hm' (⋃ n, s n) 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