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update in lambdadelta
[helm.git] / matita / matita / contribs / lambdadelta / basic_2A / conversion / cpc_cpc.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2A/conversion/cpc_cpc.ma b/matita/matita/contribs/lambdadelta/basic_2A/conversion/cpc_cpc.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/conversion/cpc.ma".
+
+(* CONTEXT-SENSITIVE PARALLEL CONVERSION ON TERMS ***************************)
+
+(* Main properties **********************************************************)
+
+theorem cpc_conf: ∀G,L,T0,T1,T2. ⦃G, L⦄ ⊢ T0 ⬌ T1 → ⦃G, L⦄ ⊢ T0 ⬌ T2 →
+                  ∃∃T. ⦃G, L⦄ ⊢ T1 ⬌ T & ⦃G, L⦄ ⊢ T2 ⬌ T.
+/3 width=3 by cpc_sym, ex2_intro/ qed-.