update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / lsubv_cnv.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv_cnv.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv_cnv.ma
new file mode 100644 (file)
index 0000000..b1782a0
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/lsubv_cnv.ma
@@ -0,0 +1,37 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/lsubv_cpms.ma".
+
+(* LOCAL ENVIRONMENT REFINEMENT FOR NATIVE VALIDITY *************************)
+
+(* Forward lemmas with native validity **************************************)
+
+(* Basic_2A1: uses: lsubsv_snv_trans *)
+lemma lsubv_cnv_trans (a) (h) (G):
+                      ∀L2,T. ⦃G, L2⦄ ⊢ T ![a,h] →
+                      ∀L1. G ⊢ L1 ⫃![a,h] L2 → ⦃G, L1⦄ ⊢ T ![a,h].
+#a #h #G #L2 #T #H elim H -G -L2 -T //
+[ #I #G #K2 #V #HV #IH #L1 #H
+  elim (lsubv_inv_bind_dx … H) -H * /3 width=1 by cnv_zero/
+| #I #G #K2 #i #_ #IH #L1 #H
+  elim (lsubv_inv_bind_dx … H) -H * /3 width=1 by cnv_lref/
+| #p #I #G #L2 #V #T #_ #_ #IHV #IHT #L1 #HL12
+  /4 width=1 by cnv_bind, lsubv_bind/
+| #n #p #G #L2 #V #W #T #U #Ha #_ #_ #HVW #HTU #IHV #IHT #L1 #HL
+  /4 width=10 by lsubv_cpms_trans, cnv_appl/
+| #G #L2 #U #T #U0 #_ #_ #HU0 #HTU0 #IHU #IHT #L1 #HL12
+  /4 width=6 by lsubv_cpms_trans, cnv_cast/
+]
+qed-.