milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2A / etc / cpr / ltpr_ltpr.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2A/etc/cpr/ltpr_ltpr.etc b/matita/matita/contribs/lambdadelta/basic_2A/etc/cpr/ltpr_ltpr.etc
new file mode 100644 (file)
index 0000000..4a27a6e
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2A/etc/cpr/ltpr_ltpr.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/reducibility/tpr_tpr.ma".
+include "basic_2/reducibility/ltpr.ma".
+
+(* CONTEXT-FREE PARALLEL REDUCTION ON LOCAL ENVIRONMENTS ********************)
+
+(* Main properties **********************************************************)
+
+theorem ltpr_conf: ∀L0:lenv. ∀L1. L0 ➡ L1 → ∀L2. L0 ➡ L2 →
+                   ∃∃L. L1 ➡ L & L2 ➡ L.
+#L0 #L1 #H elim H -L0 -L1 /2 width=3/
+#I #K0 #K1 #V0 #V1 #_ #HV01 #IHK01 #L2 #H
+elim (ltpr_inv_pair1 … H) -H #K2 #V2 #HK02 #HV02 #H destruct
+elim (IHK01 … HK02) -K0 #K #HK1 #HK2
+elim (tpr_conf … HV01 HV02) -V0 /3 width=5/
+qed.