∀ {Ω : Type u_1} {ι : Type u_2} {x : MeasurableSpace Ω} {μ : MeasureTheory.Measure Ω} {s : ι → Set Ω} {ι' : Type u_6}
  {g : ι' → ι}, Function.Surjective g → ProbabilityTheory.iIndepSet (s ∘ g) μ → ProbabilityTheory.iIndepSet s μ