milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2A / etc / fpr / fprs_fprs.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2A/etc/fpr/fprs_fprs.etc b/matita/matita/contribs/lambdadelta/basic_2A/etc/fpr/fprs_fprs.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/reducibility/fpr_fpr.ma".
+include "basic_2/computation/fprs.ma".
+
+(* CONTEXT-FREE PARALLEL COMPUTATION ON CLOSURES ****************************)
+
+(* Advanced properties ******************************************************)
+
+lemma fprs_strip: ∀L0,L1,T0,T1. ⦃L0, T0⦄ ➡ ⦃L1, T1⦄ →
+                  ∀L2,T2. ⦃L0, T0⦄ ➡* ⦃L2, T2⦄ →
+                  ∃∃L,T. ⦃L1, T1⦄ ➡* ⦃L, T⦄ & ⦃L2, T2⦄ ➡ ⦃L, T⦄.
+#H1 #H2 #H3 #H4 #H5 #H6 #H7 #H8
+/2 width=4/ qed.
+
+(* Main propertis ***********************************************************)
+
+theorem fprs_conf: bi_confluent … fprs.
+/2 width=4/ qed.
+
+theorem fprs_trans: bi_transitive … fprs.
+/2 width=4/ qed.