Goal:
  
  A : Type
  B : Type
  f : nat -> A -> option B
  a : A
  l : list A
  l' : list B
  i : nat
  t : B
  IHl : forall (l' : list B) (i n : nat),
        map_option_out (mapi_rec f l n) = Some l' ->
        nth_error l' i = Some t ->
        ∑ x : A, nth_error l i = Some x /\ f (i + n)%nat x = Some t
  n : nat
  ============================
   (match f n a with
    | Some hd =>
        match map_option_out (mapi_rec f l (S n)) with
        | Some tl => Some (hd :: tl)
        | None => None
        end
    | None => None
    end = Some l' ->
    nth_error l' i = Some t ->
    ∑ x : A, nth_error (a :: l) i = Some x /\ f (i + n)%nat x = Some t)


DEBUG:Going to execute:
<coq-core.plugins.ssreflect::ssrtclintros@0> arg