∀ {α : Type u_1} {γ : Type u_3} {Ω : Type u_4} {mα : MeasurableSpace α} {mγ : MeasurableSpace γ}
  [inst : MeasurableSpace.CountablyGenerated γ] {mΩ : MeasurableSpace Ω} [inst_1 : StandardBorelSpace Ω]
  [inst_2 : Nonempty Ω] (κ : ProbabilityTheory.Kernel α (γ × Ω)) [inst_3 : ProbabilityTheory.IsFiniteKernel κ],
  ProbabilityTheory.IsMarkovKernel κ.condKernelBorel