∀ {Ω : Type u_1} (m' : MeasurableSpace Ω) {mΩ : MeasurableSpace Ω} [inst : StandardBorelSpace Ω] (hm' : m' ≤ mΩ)
  {β : Type u_3} {γ : Type u_4} [inst_1 : MeasurableSpace β] [inst_2 : MeasurableSpace γ] (f : Ω → β) (g : Ω → γ)
  (μ : MeasureTheory.Measure Ω) [inst_3 : MeasureTheory.IsFiniteMeasure μ],
  ProbabilityTheory.CondIndepFun m' hm' f g μ =
    ProbabilityTheory.Kernel.IndepFun f g (ProbabilityTheory.condExpKernel μ m') (μ.trim hm')