update in static_2

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

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/req_req.ma b/matita/matita/contribs/lambdadelta/static_2/static/req_req.ma
new file mode 100644 (file)
index 0000000..4a6e050
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/static_2/static/req_req.ma
@@ -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/reqg_reqg.ma".
+include "static_2/static/req.ma".
+
+(* SYNTACTIC EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES *********)
+
+(* Advanced Forward lemmas **************************************************)
+
+lemma req_rex_trans (R) (L) (T):
+      R_transitive_req R →
+      ∀L1. L1 ≡[T] L → ∀L2. L ⪤[R,T] L2 → L1 ⪤[R,T] L2.
+#R #L #T #HR #L1 #HL1 #L2 #HL2
+@(rex_trans_fsle … HL1 … HL2) -L (**) (* fulll auto too slow *)
+/3 width=16 by transitive_req_fwd_rex, reqg_fsle_comp, rex_trans_next/
+qed-.
+
+lemma req_reqg_trans (S) (T:term) (L):
+      ∀L1. L1 ≡[T] L → ∀L2. L ≛[S,T] L2 → L1 ≛[S,T] L2.
+/2 width=3 by req_rex_trans/ qed-.