Goal:
  
  elt : Type
  eq_elt : elt -> elt -> Prop
  m : t elt
  m' : t elt
  H : forall x y : key, E.eq x y -> find x m = find y m
  H0 : forall x y : key, E.eq x y -> find x m' = find y m'
  H1 : forall k : key,
       (exists (e : elt) (y : key × elt),
          (E.eq k y.1 /\ e = y.2) /\ List.In y (elements m)) ->
       match find k m with
       | Some x =>
           match find k m' with
           | Some y => eq_elt x y
           | None => False
           end
       | None => match find k m' with
                 | Some _ => False
                 | None => True
                 end
       end
  H3 : forall k : key,
       (exists (e : elt) (y : key × elt),
          (E.eq k y.1 /\ e = y.2) /\ List.In y (elements m')) ->
       match find k m with
       | Some x =>
           match find k m' with
           | Some y => eq_elt x y
           | None => False
           end
       | None => match find k m' with
                 | Some _ => False
                 | None => True
                 end
       end
  x : key × elt
  H2 : List.In x (elements m')
  ============================
   (let
    '(k, _) := x in
     match find k m with
     | Some x =>
         match find k m' with
         | Some y0 => eq_elt x y0
         | None => False
         end
     | None => match find k m' with
               | Some _ => False
               | None => True
               end
     end)


DEBUG:Going to execute:
split_in_context iff (fun a b : Prop => a -> b)
            (fun a b : Prop => b -> a)