(******************************************************************************)
 
Inductive divides : nat -> nat -> Prop :=
    dividesDef : forall a b q : nat, b = q * a -> divides a b.(******************************************************************************)
 
Inductive divides : nat -> nat -> Prop :=
    dividesDef : forall a b q : nat, b = q * a -> divides a b.

Lemma divides_plus2 : forall a b c : nat, divides a b -> divides a (b + c) -> divides a c.