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

Lemma wmsb_false_bound: forall sz (w: word (S sz)), wmsb w false = false -> (wordToN w < Npow2 sz)%N.