{α : Type u_1} →
  {β : Type u_2} →
    {Ω : Type u_3} →
      {mα : MeasurableSpace α} →
        {mβ : MeasurableSpace β} →
          {mΩ : MeasurableSpace Ω} →
            [Countable α] →
              (κCond : α → ProbabilityTheory.Kernel β Ω) →
                (∀ (x y : α), x ∈ measurableAtom y → κCond x = κCond y) → ProbabilityTheory.Kernel (α × β) Ω