update in staic_2 and basic_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / req_length.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/req_length.ma b/matita/matita/contribs/lambdadelta/static_2/static/req_length.ma
new file mode 100644 (file)
index 0000000..e5bd7b4
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/static_2/static/req_length.ma
@@ -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 "static_2/static/rex_length.ma".
+include "static_2/static/rex_fsle.ma".
+include "static_2/static/req.ma".
+
+(* SYNTACTIC EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES *********)
+
+(* Advanved properties with free variables inclusion ************************)
+
+lemma req_fsge_comp:
+      rex_fsge_compatible ceq.
+#L1 #L2 #T #H elim H #f1 #Hf1 #HL12
+lapply (frees_req_conf … Hf1 … H) -H
+lapply (sex_fwd_length … HL12)
+/3 width=8 by lveq_length_eq, ex4_4_intro/ (**) (* full auto fails *)
+qed-.
+
+(* Advanced properties ******************************************************)
+
+(* Basic_2A1: uses: lleq_sym *)
+lemma req_sym (T):
+      symmetric … (req T).
+/3 width=1 by req_fsge_comp, rex_sym/ qed-.