∀ {Ω : Type u_1} {m' mΩ : MeasurableSpace Ω} [inst : StandardBorelSpace Ω] {hm' : m' ≤ mΩ} {μ : MeasureTheory.Measure Ω}
  [inst_1 : MeasureTheory.IsFiniteMeasure μ] {s₁ s₂ s' : Set (Set Ω)},
  ProbabilityTheory.CondIndepSets m' hm' s₁ s' μ →
    ProbabilityTheory.CondIndepSets m' hm' s₂ s' μ → ProbabilityTheory.CondIndepSets m' hm' (s₁ ∪ s₂) s' μ