∀ {α : Type u_1} {Ω : Type u_2} {ι : Type u_3} {_mα : MeasurableSpace α} {f : ι → Set Ω} {_mΩ : MeasurableSpace Ω}
  {κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α},
  ProbabilityTheory.Kernel.iIndep (fun i => MeasurableSpace.comap (fun x => x ∈ f i) ⊤) κ μ ↔
    ProbabilityTheory.Kernel.iIndepSet f κ μ