Goal:
  
  A : Type
  a : option A
  l : list (option A)
  f : A -> A
  IHl : map_option_out (map (option_map f) l) =
        option_map (map f) (map_option_out l)
  a0 : A
  fa : option_map f a = Some a0
  ============================
   (match map_option_out (map (option_map f) l) with
    | Some tl => Some (a0 :: tl)
    | None => None
    end =
    option_map (map f)
      match a with
      | Some hd =>
          match map_option_out l with
          | Some tl => Some (hd :: tl)
          | None => None
          end
      | None => None
      end)


DEBUG:Going to execute:
<coq-core.plugins.ssreflect::ssrrewrite@0> $1 $2
DEBUG LTAC Evaluated term: (option_map f a)