Definition sound (Gamma : flist) (work : nf_list) (context : flist) :=
  forall a : form, in_gamma Gamma work a -> Derivable context a.

Lemma sound_cons_gamma_cons_context : forall (gamma : flist) (work : nf_list) (context : flist) (a : form), sound gamma work context -> sound (a :: gamma) work (a :: context).