refactoring to park the notions:

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / cpxs_aaa.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_aaa.ma
new file mode 100644 (file)
index 0000000..e3d5e8a
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_aaa.ma
@@ -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/reduction/lpx_aaa.ma".
+include "basic_2/computation/cpxs.ma".
+
+(* CONTEXT-SENSITIVE EXTENDED PARALLEL COMPUTATION ON TERMS *****************)
+
+(* Properties about atomic arity assignment on terms ************************)
+
+lemma cpxs_aaa_conf: ∀h,o,G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                     ∀T2. ⦃G, L⦄ ⊢ T1 ➡*[h, o] T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
+#h #o #G #L #T1 #A #HT1 #T2 #HT12
+@(TC_Conf3 … HT1 ? HT12) -A -T1 -T2 /2 width=5 by cpx_aaa_conf/
+qed-.
+
+lemma cprs_aaa_conf: ∀G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡* T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
+/3 width=5 by cpxs_aaa_conf, cprs_cpxs/ qed-.