- lfpxs based on tc_lfxs

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc / cpre / cpre_cpre.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/cpre/cpre_cpre.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/cpre/cpre_cpre.etc
new file mode 100644 (file)
index 0000000..4fd4181
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/etc/cpre/cpre_cpre.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/computation/cprs_cprs.ma".
+include "basic_2/computation/cpre.ma".
+
+(* EVALUATION FOR CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS *************)
+
+(* Main properties *********************************************************)
+
+(* Basic_1: was: nf2_pr3_confluence *)
+theorem cpre_mono: ∀G,L,T,T1. ⦃G, L⦄ ⊢ T ➡* 𝐍⦃T1⦄ → ∀T2. ⦃G, L⦄ ⊢ T ➡* 𝐍⦃T2⦄ → T1 = T2.
+#G #L #T #T1 * #H1T1 #H2T1 #T2 * #H1T2 #H2T2
+elim (cprs_conf … H1T1 … H1T2) -T #T #HT1
+>(cprs_inv_cnr1 … HT1 H2T1) -T1 #HT2
+>(cprs_inv_cnr1 … HT2 H2T2) -T2 //
+qed-.