∀ (motive : (x : List ℕ) → (x_1 : ℕ) → (∀ m ∈ x, x_1 ≤ m) → x.SortedLT → Prop) (x : List ℕ) (x_1 : ℕ)
  (x_2 : ∀ m ∈ x, x_1 ≤ m) (x_3 : x.SortedLT),
  (∀ (x : ℕ) (x_4 : ∀ m ∈ [], x ≤ m) (x_5 : [].SortedLT), motive [] x x_4 x_5) →
    (∀ (m : ℕ) (l : List ℕ) (n : ℕ) (h₁ : ∀ m_1 ∈ m :: l, n ≤ m_1) (h₂ : (m :: l).SortedLT), motive (m :: l) n h₁ h₂) →
      motive x x_1 x_2 x_3