Ltac wlt_ind :=
  match goal with
  | [ |- forall (n: word ?len), ?P ] =>
    refine (well_founded_ind (@wlt_wf len) (fun n => P) _)
  end.

Lemma wordToN_WS_0: forall sz (w: word sz), wordToN w~0 = (2 * wordToN w)%N.