∀ (motive : (x : List ℕ) → (x_1 : Turing.PartrecToTM2.Γ') → x_1 ∈ Turing.PartrecToTM2.trList x → Prop) (x : List ℕ)
  (x_1 : Turing.PartrecToTM2.Γ') (x_2 : x_1 ∈ Turing.PartrecToTM2.trList x),
  (∀ (a : ℕ) (l : List ℕ) (x : Turing.PartrecToTM2.Γ') (h : x ∈ Turing.PartrecToTM2.trList (a :: l)),
      motive (a :: l) x h) →
    motive x x_1 x_2