]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/static_2/static/fdeq_req.ma
syntactic components detached from basic_2 become static_2
[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / fdeq_req.ma
diff --git a/matita/matita/contribs/lambdadelta/static_2/static/fdeq_req.ma b/matita/matita/contribs/lambdadelta/static_2/static/fdeq_req.ma
new file mode 100644 (file)
index 0000000..0c0d9c3
--- /dev/null
@@ -0,0 +1,27 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/rdeq_req.ma".
+include "static_2/static/fdeq.ma".
+
+(* DEGREE-BASED EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES ****************)
+
+(* Properties with syntactic equivalence on referred entries ****************)
+
+lemma req_rdeq_trans: ∀h,o,L1,L,T1. L1 ≡[T1] L →
+                      ∀G1,G2,L2,T2. ⦃G1, L, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄.
+#h #o #L1 #L #T1 #HL1 #G1 #G2 #L2 #T2 #H
+elim (fdeq_inv_gen_sn … H) -H #H #HL2 #T12 destruct
+/3 width=3 by fdeq_intro_sn, req_rdeq_trans/
+qed-.