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(* 02110-1301 USA                                                     *)
(** natZ. Some lemmas about inject_nat, absolu and the relation between Z and nat in general.  @author Olga Caprotti and Martijn Oostdijk @version $Revision$ *)

Lemma abs_pred_pos :
forall x : Z, (0 < x)%Z -> pred (Zabs_nat x) = Zabs_nat (x - 1).