update for the article

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_feqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_feqx.ma
new file mode 100644 (file)
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+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_feqx.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/static/feqx.ma".
+include "basic_2/rt_computation/cpxs_reqx.ma".
+
+(* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
+
+(* Properties with sort-irrelevant equivalence for closures *****************)
+
+lemma feqx_cpxs_trans: ∀h,G1,G2,L1,L2,T1,T. ⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T⦄ →
+                       ∀T2. ⦃G2,L2⦄ ⊢ T ⬈*[h] T2 →
+                       ∃∃T0. ⦃G1,L1⦄ ⊢ T1 ⬈*[h] T0 & ⦃G1,L1,T0⦄ ≛ ⦃G2,L2,T2⦄.
+#h #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
+elim (feqx_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
+elim (reqx_cpxs_trans … HT2 … HL12) #T0 #HT0 #HT02
+lapply (cpxs_reqx_conf_dx … HT2 … HL12) -HL12 #HL12
+elim (teqx_cpxs_trans … HT1 … HT0) -T #T #HT1 #HT0
+/4 width=5 by feqx_intro_dx, teqx_trans, ex2_intro/
+qed-.