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update in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_equivalence / cpcs_lsubr.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_lsubr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_lsubr.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/rt_computation/cpms_lsubr.ma".
+include "basic_2/rt_equivalence/cpcs_cprs.ma".
+
+(* CONTEXT-SENSITIVE PARALLEL R-EQUIVALENCE FOR TERMS ***********************)
+
+(* Properties with restricted refinement for local environments *************)
+
+lemma lsubr_cpcs_trans (h) (G): lsub_trans … (cpcs h G) lsubr.
+#h #G #L1 #T1 #T2 #HT12 elim (cpcs_inv_cprs … HT12) -HT12
+/3 width=5 by cprs_div, lsubr_cpms_trans/
+qed-.