--- /dev/null
+(**************************************************************************)
+(* ___ *)
+(* ||M|| *)
+(* ||A|| A project by Andrea Asperti *)
+(* ||T|| *)
+(* ||I|| Developers: *)
+(* ||T|| The HELM team. *)
+(* ||A|| http://helm.cs.unibo.it *)
+(* \ / *)
+(* \ / This file is distributed under the terms of the *)
+(* v GNU General Public License Version 2 *)
+(* *)
+(**************************************************************************)
+
+include "basic_2A/computation/fsb_aaa.ma".
+include "basic_2A/dynamic/snv_aaa.ma".
+
+(* STRATIFIED NATIVE VALIDITY FOR TERMS *************************************)
+
+(* forward lemmas on "qrst" strongly normalizing closures *********************)
+
+lemma snv_fwd_fsb: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ T ¡[h, g] → ⦥[h, g] ⦃G, L, T⦄.
+#h #g #G #L #T #H elim (snv_fwd_aaa … H) -H /2 width=2 by aaa_fsb/
+qed-.