Module NZOfNatOrd (Import NZ:NZOrdSig').
Include NZOfNat NZ.
Include NZBaseProp NZ <+ NZOrderProp NZ.
Local Open Scope ofnat.
(* In addition, we can prove that [ofnat] preserves order. *)

Lemma ofnat_lt : forall n m : nat, [n]<[m] <-> (n<m)%nat.