Fixpoint xfind (i j : key) (m : t A) : option A :=
      match i, j with
      | _, xH => find i m
      | xO ii, xO jj => xfind ii jj m
      | xI ii, xI jj => xfind ii jj m
      | _, _ => None
      end.

Lemma xelements_io : forall (m: t A) (i j : key) (v: A), ~List.In (xI i, v) (xelements m (xO j)).