milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2A / etc / cpr / ltprs_alt.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2A/etc/cpr/ltprs_alt.etc b/matita/matita/contribs/lambdadelta/basic_2A/etc/cpr/ltprs_alt.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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+notation "hvbox( T1 ➡ ➡ * break term 46 T2 )"
+   non associative with precedence 45
+   for @{ 'PRedStarAlt $T1 $T2 }.
+
+include "basic_2/computation/ltprs.ma".
+
+(* CONTEXT-FREE PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS ******************)
+
+(* alternative definition of ltprs *)
+definition ltprsa: relation lenv ≝ lpx tprs.
+
+interpretation
+  "context-free parallel computation (environment) alternative"
+  'PRedStarAlt L1 L2 = (ltprsa L1 L2).
+
+(* Basic properties *********************************************************)
+
+lemma ltprs_ltprsa: ∀L1,L2. L1 ➡* L2 → L1 ➡➡* L2.
+/2 width=1/ qed.
+
+(* Basic inversion lemmas ***************************************************)
+
+lemma ltprsa_ltprs: ∀L1,L2. L1 ➡➡* L2 → L1 ➡* L2.
+/2 width=1/ qed-.