- degree-based equivalene for terms

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / cpr / ltprs_ltprs.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/ltprs_ltprs.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/ltprs_ltprs.etc
new file mode 100644 (file)
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+++ b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/ltprs_ltprs.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/ltpr_ltpr.ma".
+include "basic_2/computation/ltprs.ma".
+
+(* CONTEXT-FREE PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS ******************)
+
+(* Advanced properties ******************************************************)
+
+lemma ltprs_strip: ∀L1. ∀L:lenv. L ➡* L1 → ∀L2. L ➡ L2 →
+                   ∃∃L0. L1 ➡ L0 & L2 ➡* L0.
+/3 width=3/ qed.
+
+(* Main properties **********************************************************)
+
+theorem ltprs_conf: confluent … ltprs.
+/3 width=3/ qed.
+
+theorem ltprs_trans: Transitive … ltprs.
+/2 width=3/ qed.