Module Type NZPowProp
(Import A : NZOrdAxiomsSig')
(Import B : NZPow' A)
(Import C : NZMulOrderProp A).
Hint Rewrite pow_0_r pow_succ_r : nz.
(** Power and basic constants *)
Hint Rewrite pow_1_r pow_1_l : nz.
Hint Rewrite pow_2_r : nz.
(** Power and nullity *)
(** Power and addition, multiplication *)
(** Positivity *)

Lemma pow_pos_nonneg : forall a b, 0<a -> 0<=b -> 0<a^b.