Module Type ZPowProp
(Import A : ZAxiomsSig')
(Import B : ZMulOrderProp A)
(Import C : ZParityProp A B)
(Import D : ZSgnAbsProp A B).
Include NZPowProp A A B.
(** A particular case of [pow_add_r], with no precondition *)
(** Parity of power *)
(** Properties of power of negative numbers *)

Lemma pow_odd_sgn : forall a b, 0<=b -> Odd b -> sgn (a^b) == sgn a.