∀ {α : Type u_1} {γ : Type u_3} {mα : MeasurableSpace α} {mγ : MeasurableSpace γ}
  [inst : MeasurableSpace.CountablyGenerated γ] (κ : ProbabilityTheory.Kernel α (γ × ℝ))
  [inst_1 : ProbabilityTheory.IsFiniteKernel κ], κ.fst.compProd κ.condKernelReal = κ