milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2A / etc / fpbc / fpbc.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2A/etc/fpbc/fpbc.etc b/matita/matita/contribs/lambdadelta/basic_2A/etc/fpbc/fpbc.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/notation/relations/lazybtpredproper_8.ma".
+include "basic_2/multiple/fleq.ma".
+include "basic_2/reduction/fpbu.ma".
+
+(* "QRST" PROPER PARALLEL REDUCTION FOR CLOSURES ****************************)
+
+definition fpbc: ∀h. sd h → tri_relation genv lenv term ≝
+                 λh,g,G1,L1,T1,G2,L2,T2.
+                 ∃∃G,L,T. ⦃G1, L1, T1⦄ ≻[h, g] ⦃G, L, T⦄ & ⦃G, L, T⦄ ≡[0] ⦃G2, L2, T2⦄.
+
+interpretation
+   "'qrst' proper parallel reduction (closure)"
+   'LazyBTPRedProper h g G1 L1 T1 G2 L2 T2 = (fpbc h g G1 L1 T1 G2 L2 T2).
+
+(* Baic properties **********************************************************)
+
+lemma fpbu_fpbc: ∀h,g,G1,G2,L1,L2,T1,T2.
+                 ⦃G1, L1, T1⦄ ≻[h, g] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≻≡[h, g] ⦃G2, L2, T2⦄.
+/2 width=5 by ex2_3_intro/ qed.