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[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / reducibility / lcpr_cpr.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/unfold/ltpss_ltpss.ma".
+include "Basic_2/reducibility/cpr.ma".
+include "Basic_2/reducibility/lcpr.ma".
+
+(* CONTEXT-SENSITIVE PARALLEL REDUCTION ON LOCAL ENVIRONMENTS *************)
+
+(* Advanced properties ****************************************************)
+
+lemma lcpr_pair: ∀L1,L2. L1 ⊢ ➡ L2 → ∀V1,V2. L2 ⊢ V1 ➡ V2 →
+                 ∀I. L1. ⓑ{I} V1 ⊢ ➡ L2. ⓑ{I} V2.
+#L1 #L2 * #L #HL1 #HL2 #V1 #V2 *
+<(ltpss_fwd_length … HL2) /4 width=5/
+qed.