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 *)
(** Monotonicity *)
(** NB: since 0^0 > 0^1, the following result isn't valid with a=0 *)

Lemma pow_le_mono : forall a b c d, 0<a<=c -> b<=d ->
a^b <= c^d.