update in static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc / teqx / csx_reqx.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/teqx/csx_reqx.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/teqx/csx_reqx.etc
new file mode 100644 (file)
index 0000000..5d35690
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/etc/teqx/csx_reqx.etc
@@ -0,0 +1,36 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/cpx_reqx.ma".
+include "basic_2/rt_computation/csx_csx.ma".
+
+(* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
+
+(* Properties with sort-irrelevant equivalence for local environments *******)
+
+(* Basic_2A1: uses: csx_lleq_conf *)
+lemma csx_reqx_conf (G) (L1):
+      ∀T. ❪G,L1❫ ⊢ ⬈*𝐒 T →
+      ∀L2. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒 T.
+#G #L1 #T #H
+@(csx_ind … H) -T #T1 #_ #IH #L2 #HL12
+@csx_intro #T2 #HT12 #HnT12
+lapply (reqx_cpx_trans … HL12 … HT12) -HT12
+/3 width=4 by cpx_reqx_conf_sn/
+qed-.
+
+(* Basic_2A1: uses: csx_lleq_trans *)
+lemma csx_reqx_trans (G) (L2):
+      ∀L1,T. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒 T → ❪G,L1❫ ⊢ ⬈*𝐒 T.
+/3 width=3 by csx_reqx_conf, reqx_sym/ qed-.