Section Pdigit.
(* n is the base *)
Variable n : Z.
(* and it is greater or equal to 2 *)
Hypothesis nMoreThan1 : (1 < n)%Z.
Let nMoreThanOne := Zlt_1_O _ (Zlt_le_weak _ _ nMoreThan1).
Hint Resolve nMoreThanOne: zarith.
intros q; elim q; simpl in |- *;
auto with zarith.
Qed.
Hint Resolve Zpower_nat_less: zarith.

Theorem Zpower_nat_monotone_S :
forall p : nat, (Zpower_nat n p < Zpower_nat n (S p))%Z.