cpx_tsts completed

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cnx_cnx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_cnx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_cnx.ma
new file mode 100644 (file)
index 0000000..a60e62a
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_cnx.ma
@@ -0,0 +1,28 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/syntax/tdeq_tdeq.ma".
+include "basic_2/rt_transition/lfpx_lfdeq.ma".
+include "basic_2/rt_transition/cnx.ma".
+
+(* NORMAL TERMS FOR UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ******)
+
+(* Advanced properties ******************************************************)
+
+lemma cnx_tdeq_trans: ∀h,o,G,L,T1. ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T1⦄ →
+                      ∀T2. T1 ≡[h, o] T2 → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T2⦄.
+#h #o #G #L #T1 #HT1 #T2 #HT12 #T #HT2
+elim (tdeq_cpx_trans … HT12 … HT2) -HT2 #T0 #HT10 #HT0
+lapply (HT1 … HT10) -HT1 -HT10 /2 width=5 by tdeq_repl/ (**) (* full auto fails *)
+qed-.