(** * [add] *)

Fixpoint add (k : key) (x : elt) (s : t elt) {struct s} : t elt :=
  match s with
   | nil => (k,x) :: nil
   | (k',y) :: l => if X.eq_dec k k' then (k,x)::l else (k',y)::add k x l
  end.

Lemma add_not_eq : forall m (Hm:NoDupA m) x a e, ~X.eq x a -> find x (add a e m) = find x m.