update in static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lpxs_feqg.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_feqg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_feqg.ma
new file mode 100644 (file)
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+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_feqg.ma
@@ -0,0 +1,31 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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 "static_2/static/feqg.ma".
+include "basic_2/rt_computation/lpxs_reqg.ma".
+
+(* EXTENDED PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
+
+(* Properties with generic equivalence on closures ***************************)
+
+lemma feqg_lpxs_trans (S):
+      reflexive … S → symmetric … S →
+      ∀G1,G2,L1,L0,T1,T2. ❪G1,L1,T1❫ ≛[S] ❪G2,L0,T2❫ →
+      ∀L2. ❪G2,L0❫ ⊢⬈* L2 →
+      ∃∃L. ❪G1,L1❫ ⊢⬈* L & ❪G1,L,T1❫ ≛[S] ❪G2,L2,T2❫.
+#S #H1S #H2S #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
+elim (feqg_inv_gen_dx … H1) -H1 // #HG #HL10 #HT12 destruct
+elim (reqg_lpxs_trans … HL02 … HL10) -L0 // #L0 #HL10 #HL02
+/3 width=3 by feqg_intro_dx, ex2_intro/
+qed-.