Goal:
  
  A : Type
  B : Type
  f : A → B
  H : ∀ l : list A, nth_error (map f l) 0 = option_map f (nth_error l 0)
  l : list A
  ============================
   (nth_error (map f l) 1 = option_map f (nth_error l 1))


DEBUG:Going to execute:
case not_locked_false_eq_true