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(* GNU General Public License for more details.                       *)
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(* 02110-1301 USA                                                     *)
Require Export MiscRsa.
(******************************************************************************)
Inductive divides : nat -> nat -> Prop :=
dividesDef : forall a b q : nat, b = q * a -> divides a b.
intros a; apply dividesDef with (q := 1); auto with arith.
Qed.

Lemma divides_dec' :
forall x y : nat,
{(exists q : _, is_div x y q 0)} + {~ (exists q : _, is_div x y q 0)}.