update in static_2 and basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc / cnv / cnv_preserve_far.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/cnv/cnv_preserve_far.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/cnv/cnv_preserve_far.etc
new file mode 100644 (file)
index 0000000..7ab0ff8
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/etc/cnv/cnv_preserve_far.etc
@@ -0,0 +1,33 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/dynamic/cnv_cpm_trans.ma".
+
+(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
+
+(* Far properties for preservation ******************************************)
+
+fact cnv_cpms_trans_lpr_far (a) (h) (o):
+                            ∀G0,L0,T0.
+                            (∀G1,L1,T1. ⦃G0, L0, T0⦄ >[h, o] ⦃G1, L1, T1⦄ → IH_cnv_cpms_conf_lpr a h G1 L1 T1) →
+                            (∀G1,L1,T1. ⦃G0, L0, T0⦄ >[h, o] ⦃G1, L1, T1⦄ → IH_cnv_cpm_trans_lpr a h G1 L1 T1) →
+                            ∀G1,L1,T1. G0 = G1 → L0 = L1 → T0 = T1 → IH_cnv_cpms_trans_lpr a h G1 L1 T1.
+#a #h #o #G0 #L0 #T0 #IH2 #IH1 #G1 #L1 #T1 #HG #HL #HT #H0 #n #T2 #H destruct
+@(cpms_ind_dx … H) -n -T2
+[ #L2 #HL12 @(cnv_cpm_trans_lpr_aux … IH2 IH1 … H0 … 0 T1 … HL12) -L2 -IH2 -IH1 -H0 //
+| #n2 #n2 #T #T2 #HT1 #IH #HT2 #L2 #HL12 destruct
+  @(cnv_cpm_trans_lpr_aux … o … HT2 … HL12) [1,2,3,6,7,8,9: /2 width=2 by/ ] -n2 -L2 -T2 -IH
+  /3 width=4 by cpms_fpbg_trans/
+]
+qed-.