∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
  {mγ : MeasurableSpace γ} [inst : MeasurableSpace.CountablyGenerated γ] {κ : ProbabilityTheory.Kernel α (γ × β)}
  {ν : ProbabilityTheory.Kernel α γ},
  κ.fst ≤ ν →
    ∀ (n : ℕ) (a : α) (s : Set β), MeasureTheory.eLpNorm (fun x => κ.densityProcess ν n a x s) 1 (ν a) ≤ (ν a) Set.univ