more results on cpm ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpm_lsubr.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_lsubr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_lsubr.ma
new file mode 100644 (file)
index 0000000..ac03ed3
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpm_lsubr.ma
@@ -0,0 +1,33 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/rt_transition/cpg_lsubr.ma".
+include "basic_2/rt_transition/cpm.ma".
+
+(* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
+
+(* Properties with restricted refinement for local environments *************)
+
+(* Basic_2A1: includes: lsubr_cpr_trans *)
+lemma lsubr_cpm_trans: ∀n,h,G. lsub_trans … (cpm n h G) lsubr.
+#n #h #G #L1 #T1 #T2 * /3 width=5 by lsubr_cpg_trans, ex2_intro/
+qed-.
+
+(* Advanced properties ******************************************************)
+
+(* Basic_1: was by definition: pr2_free *)
+(* Basic_2A1: includes: tpr_cpr *)
+lemma tpm_cpm: ∀n,h,G,T1,T2. ⦃G, ⋆⦄ ⊢ T1 ➡[n, h] T2 → ∀L. ⦃G, L⦄ ⊢ T1 ➡[n, h] T2.
+#n #h #G #T1 #T2 #HT12 #L lapply (lsubr_cpm_trans … HT12 L ?) //
+qed.