milestone update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_lpx.ma
new file mode 100644 (file)
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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/rt_transition/fpb_lpx.ma".
+include "basic_2/rt_computation/fpbs_feqg.ma".
+
+(* PARALLEL RST-COMPUTATION FOR CLOSURES ************************************)
+
+(* Properties with extended rt-transition on full local environments  *******)
+
+lemma fpbs_lpx_trans (L):
+      ∀G1,G2,L1,T1,T2. ❪G1,L1,T1❫ ≥ ❪G2,L,T2❫ →
+      ∀L2. ❪G2,L❫ ⊢ ⬈ L2 → ❪G1,L1,T1❫ ≥ ❪G2,L2,T2❫.
+/3 width=5 by fpbs_strap1, lpx_fpb/ qed-.
+
+lemma teqg_reqg_lpx_fpbs (S):
+      reflexive … S → symmetric … S →
+      ∀T1,T2. T1 ≛[S] T2 → ∀L1,L0. L1 ≛[S,T2] L0 →
+      ∀G,L2. ❪G,L0❫ ⊢ ⬈ L2 → ❪G,L1,T1❫ ≥ ❪G,L2,T2❫.
+/4 width=7 by feqg_fpbs, fpbs_strap1, lpx_fpb, feqg_intro_dx/ qed.