milestone update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqus.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_fqus.ma
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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 "static_2/s_computation/fqus_fqup.ma".
+include "basic_2/rt_transition/fpbc_fqup.ma".
+include "basic_2/rt_computation/fpbs_fqus.ma".
+include "basic_2/rt_computation/fpbg_fqup.ma".
+include "basic_2/rt_computation/fpbg_fpbs.ma".
+
+(* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
+
+(* Properties with plus-iterated structural successor for closures **********)
+
+(* Note: this is used in the closure proof *)
+lemma fqup_fpbg:
+      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
+#G1 #G2 #L1 #L2 #T1 #T2 #H elim (fqup_inv_step_sn … H) -H
+/3 width=5 by fpbc_fpbs_fpbg, fqus_fpbs, fqu_fpbc/
+qed.
+
+(* Note: this is used in the closure proof *)
+lemma fqup_fpbg_trans (G) (L) (T):
+      ∀G1,L1,T1. ❪G1,L1,T1❫ ⬂+ ❪G,L,T❫ →
+      ∀G2,L2,T2. ❪G,L,T❫ > ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫.
+/3 width=5 by fpbs_fpbg_trans, fqup_fpbs/ qed-.