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milestone update in ground_2 and basic_2A
[helm.git] / matita / matita / contribs / lambdadelta / basic_2A / etc / llpx / csx_llpxs.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2A/etc/llpx/csx_llpxs.etc b/matita/matita/contribs/lambdadelta/basic_2A/etc/llpx/csx_llpxs.etc
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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/computation/csx_llpx.ma".
+include "basic_2/computation/llpxs.ma".
+
+(* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERMS ********************)
+
+(* Properties on lazy sn extended computation for local environments ********)
+
+lemma csx_llpxs_conf: ∀h,g,G,L1,T. ⦃G, L1⦄ ⊢ ⬊*[h, g] T →
+                      ∀L2.  ⦃G, L1⦄ ⊢ ➡*[h, g, T, 0] L2 → ⦃G, L2⦄ ⊢ ⬊*[h, g] T.
+#h #g #G #L1 #T #HT #L2 #H @(llpxs_ind … H) -L2 /3 by llpxs_strap1, csx_llpx_conf/
+qed-.