(** Drop an element from a Zlist *)
Fixpoint zdrop (x : Z) (l : Zlist) {struct l} : Zlist :=
match l with
| Nil => Nil Z
| Cons h t => if Zeq_bool x h then t else Cons Z h (zdrop x t)
end.

Lemma zdrop_length :
forall (x : Z) (l : Zlist),
inlist Z x l -> S (length Z (zdrop x l)) = length Z l.