milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2A / etc / lsubn / lsubn_lsubn.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2A/etc/lsubn/lsubn_lsubn.etc b/matita/matita/contribs/lambdadelta/basic_2A/etc/lsubn/lsubn_lsubn.etc
new file mode 100644 (file)
index 0000000..9ef3dda
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2A/etc/lsubn/lsubn_lsubn.etc
@@ -0,0 +1,36 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/lsubn_nta.ma".
+
+(* LOCAL ENVIRONMENT REFINEMENT FOR NATIVE TYPE ASSIGNMENT ******************)
+
+(* Main properties **********************************************************)
+
+(* Note: new property *)
+theorem lsubn_trans: ∀h,L1,L. h ⊢ L1 :⊑ L → ∀L2. h ⊢ L :⊑ L2 → h ⊢ L1 :⊑ L2.
+#h #L1 #L #H elim H -L1 -L
+[ #X #H >(lsubn_inv_atom1 … H) -H //
+| #I #L1 #L #V #HL1 #H1W #IHL1 #X #H
+  elim (lsubn_inv_pair1 … H) -H * #L2
+  [ #HL2 #H #H2W destruct /4 width=1/
+  | #W #H1VW #H2VW #HL2 #H1 #H2 destruct /3 width=3/
+  ]
+| #L1 #L #V1 #W1 #H1VW1 #H2VW1 #HL1 #IHL1 #X #H
+  elim (lsubn_inv_pair1 … H) -H * #L2
+  [ #HL2 #H #HW destruct /3 width=1/
+  | #V #_ #_ #_ #_ #H destruct
+  ]
+]
+qed.