simpl in |- *; intros; apply (Lt_nil (mon n)); auto.
simpl in |- *; intros; apply (Lt_hd (mon n)); auto.
simpl in |- *; unfold eqT in |- *; (intros x y p1 q1 H; rewrite H).
simpl in |- *; intros; apply (Lt_tl (mon n)); auto.
Qed.
Hint Resolve fltP.

Theorem ltp_not_refl : forall x, ~ ltP x x.
intros x; elim x.