milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2A / etc / xpr / xpr_lsubss.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2A/etc/xpr/xpr_lsubss.etc b/matita/matita/contribs/lambdadelta/basic_2A/etc/xpr/xpr_lsubss.etc
new file mode 100644 (file)
index 0000000..bc66cd2
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2A/etc/xpr/xpr_lsubss.etc
@@ -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/static/lsubss_ssta.ma".
+include "basic_2/reducibility/xpr.ma".
+
+(* EXTENDED PARALLEL REDUCTION ON TERMS *************************************)
+
+(* Properties on lenv ref for stratified type assignment ********************)
+
+lemma lsubss_xpr_trans: ∀h,g,L1,L2. h ⊢ L1 •⊑[g] L2 →
+                        ∀T1,T2. ⦃h, L2⦄ ⊢ T1 •➡[g] T2 → ⦃h, L1⦄ ⊢ T1 •➡[g] T2.
+#h #g #L1 #L2 #HL12 #T1 #T2 * [ | #l ] #HT12
+[ lapply (lsubss_fwd_lsubs2 … HL12) -HL12 /3 width=3/
+| /3 width=4/
+]
+qed-.