∀ {α : Type u_1} {Ω : Type u_2} {ι : Type u_3} {β : ι → Type u_8} {mβ : (i : ι) → MeasurableSpace (β i)}
  {_mα : MeasurableSpace α} {_mΩ : MeasurableSpace Ω} {κ : ProbabilityTheory.Kernel α Ω} {μ : MeasureTheory.Measure α}
  {f : (x : ι) → Ω → β x} {ι' : Type u_9} {g : ι' → ι},
  Function.Injective g →
    ProbabilityTheory.Kernel.iIndepFun f κ μ → ProbabilityTheory.Kernel.iIndepFun (fun i => f (g i)) κ μ