(******************************************************************************)
 
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 all_divides_O : forall n : nat, divides n 0.