∀ {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)}
  {u : Set ι},
  (∃ n ∈ u, ProbabilityTheory.CondIndepSets m' hm' (s n) s' μ) →
    ProbabilityTheory.CondIndepSets m' hm' (⋂ n ∈ u, s n) s' μ