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(* 02110-1301 USA                                                     *)
(** lemmas. Some nice lemmas, mostly about le, lt, and mult.  @author Olga Caprotti and Martijn Oostdijk @version $Revision$ *)
Global Set Asymmetric Patterns.
intros n m H; injection H; trivial.
Qed.

Lemma Zlt_mult_l :
forall p q r : Z, (0 < r)%Z -> (p < q)%Z -> (r * p < r * q)%Z.