∀ {X : ℕ → Type u_1} [inst : (n : ℕ) → MeasurableSpace (X n)]
  (κ κ_1 : (n : ℕ) → ProbabilityTheory.Kernel ((i : ↥(Finset.Iic n)) → X ↑i) (X (n + 1))) (e_κ : κ = κ_1)
  [inst_1 : ∀ (n : ℕ), ProbabilityTheory.IsMarkovKernel (κ n)] (a : ℕ),
  ProbabilityTheory.Kernel.traj κ a = ProbabilityTheory.Kernel.traj κ_1 a