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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 divmultgcd :
forall a b c : Z,
a <> 0%Z -> ZDivides a (b * c) -> gcd a b 1 -> ZDivides a c.