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update in static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx_feqg.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_feqg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_feqg.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 "static_2/static/feqg.ma".
+include "basic_2/rt_computation/csx_reqg.ma".
+
+(* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
+
+(* Properties with generic equivalence for closures *************************)
+
+lemma csx_feqg_conf (S):
+      reflexive … S → symmetric … S →
+      ∀G1,L1,T1. ❪G1,L1❫ ⊢ ⬈*𝐒 T1 →
+      ∀G2,L2,T2. ❪G1,L1,T1❫ ≛[S] ❪G2,L2,T2❫ → ❪G2,L2❫ ⊢ ⬈*𝐒 T2.
+#S #H1S #H2S #G1 #L1 #T1 #HT1 #G2 #L2 #T2 * -G2 -L2 -T2
+/3 width=6 by csx_reqg_conf, csx_teqg_trans/
+qed-.