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(* 02110-1301 USA                                                     *)
(** modprime. Some nice lemmas about div, mult, mod, prime, and gcd.  @author Olga Caprotti and Martijn Oostdijk @version $Revision$ *)

Lemma prime_div_or_gcd1 :
forall (p : nat) (a : Z),
Prime p -> ZDivides (Z_of_nat p) a \/ gcd (Z_of_nat p) a 1.