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- degree assignment, static type assignment, iterated static type
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diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsubd.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubsv_lsubd.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_2/static/lsubd.ma".
+include "basic_2/dynamic/lsubsv.ma".
+
+(* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
+
+(* Forward lemmas on lenv refinement for degree assignment ******************)
+
+lemma lsubsv_fwd_lsubd: ∀h,g,G,L1,L2. G ⊢ L1 ¡⊑[h, g] L2 → G ⊢ L1 ▪⊑[h, g] L2.
+#h #g #G #L1 #L2 #H elim H -L1 -L2 // /2 width=1/ /2 width=3/
+qed-.