update in static_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / etc / teqx / feqx_fqus.etc

diff --git a/matita/matita/contribs/lambdadelta/static_2/etc/teqx/feqx_fqus.etc b/matita/matita/contribs/lambdadelta/static_2/etc/teqx/feqx_fqus.etc
new file mode 100644 (file)
index 0000000..0b370bd
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/static_2/etc/teqx/feqx_fqus.etc
@@ -0,0 +1,32 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/reqx_fqus.ma".
+include "static_2/static/feqx.ma".
+
+(* SORT-IRRELEVANT EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *************)
+
+(* Properties with star-iterated structural successor for closures **********)
+
+lemma feqx_fqus_trans (b):
+      ∀G1,G,L1,L,T1,T. ❪G1,L1,T1❫ ≛ ❪G,L,T❫ →
+      ∀G2,L2,T2. ❪G,L,T❫ ⬂*[b] ❪G2,L2,T2❫ →
+      ∃∃G,L0,T0. ❪G1,L1,T1❫ ⬂*[b] ❪G,L0,T0❫ & ❪G,L0,T0❫ ≛ ❪G2,L2,T2❫.
+#b #G1 #G #L1 #L #T1 #T #H1 #G2 #L2 #T2 #H2
+elim(feqx_inv_gen_dx … H1) -H1 #HG #HL1 #HT1 destruct
+elim (reqx_fqus_trans … H2 … HL1) -L #L #T0 #H2 #HT02 #HL2
+elim (teqx_fqus_trans … H2 … HT1) -T #L0 #T #H2 #HT0 #HL0
+lapply (teqx_reqx_conf_sn … HT02 … HL0) -HL0 #HL0
+/4 width=7 by feqx_intro_dx, reqx_trans, teqx_trans, ex2_3_intro/
+qed-.