update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc / cpce / cnv_cpce_2.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/cpce/cnv_cpce_2.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/cpce/cnv_cpce_2.etc
new file mode 100644 (file)
index 0000000..5c3b023
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/etc/cpce/cnv_cpce_2.etc
@@ -0,0 +1,29 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/rt_conversion/cpce.ma".
+include "basic_2/dynamic/cnv_preserve.ma".
+
+(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
+
+theorem cnv_cpce_mono (a) (h) (G) (L) (T):
+        ∀T1. ⦃G,L⦄ ⊢ T ⬌η[h] T1 → ⦃G,L⦄ ⊢ T ![a,h] →
+        ∀T2. ⦃G,L⦄ ⊢ T ⬌η[h] T2 → ⦃G,L⦄ ⊢ T1 ⬌*[h] T2.
+#h #G #L #T @(fqup_wf_ind (Ⓣ) … G L T) -G -L -T
+#G0 #L0 #T0 #IH #T1
+@(insert_eq_0 … G0) #G
+@(insert_eq_0 … L0) #L
+@(insert_eq_0 … T0) #T
+* -G -L -T
+[ #G #L1 #s #_ #_ #_ #_ #L2 #_ //