Open Scope Z_scope.
intros.
pols.
auto.
Qed.
intros.
pols.
auto.
Qed.
intros.
pols.
auto with zarith.
Qed.
intros.
pols.
auto.
Qed.
intros.
pols.
auto.
Qed.

Theorem polf_test1: forall x y, (0 <= x -> 1 <= y -> x  <= x  * y)%Z.