∀ {Ω : Type u_1} {m : MeasurableSpace Ω} [mΩ : MeasurableSpace Ω] [inst : StandardBorelSpace Ω]
  {μ : MeasureTheory.Measure Ω} [inst_1 : MeasureTheory.IsFiniteMeasure μ] [inst_2 : Nonempty Ω] {ω : Ω},
  (ProbabilityTheory.condExpKernel μ m) ω = (ProbabilityTheory.condDistrib id id μ) (id ω)