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diff --git a/matita/matita/contribs/lambdadelta/basic_2A/dynamic/snv_fsb.ma b/matita/matita/contribs/lambdadelta/basic_2A/dynamic/snv_fsb.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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-.