∀ {Ω : Type u_1} (m' : MeasurableSpace Ω) {mΩ : MeasurableSpace Ω} [inst : StandardBorelSpace Ω] (hm' : m' ≤ mΩ)
  {μ : MeasureTheory.Measure Ω} [inst_1 : MeasureTheory.IsFiniteMeasure μ] {s t : Set Ω},
  MeasurableSet s →
    MeasurableSet t →
      (ProbabilityTheory.CondIndepSets m' hm' {s} {t} μ ↔
        μ[(s ∩ t).indicator fun ω => 1 | m'] =ᵐ[μ] μ[s.indicator fun ω => 1 | m'] * μ[t.indicator fun ω => 1 | m'])