∀ {α : Type u_1} (motive : List α → List α → Sort u_2) (ys : List α) (h_1 : (ys : List α) → motive [] ys)
  (h_2 : (xs : List α) → motive xs [])
  (h_3 : (x : α) → (xs : List α) → (y : α) → (ys : List α) → motive (x :: xs) (y :: ys)),
  (match [], ys with
    | [], ys => h_1 ys
    | xs, [] => h_2 xs
    | x :: xs, y :: ys => h_3 x xs y ys) =
    h_1 ys