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 *)

Lemma pow_lt_mono_r : forall a b c, 1<a -> 0<=c -> b<c -> a^b < a^c.