update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpts_cpms.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpts_cpms.ma
new file mode 100644 (file)
index 0000000..52e9bc8
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpts_cpms.ma
@@ -0,0 +1,35 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/cpt_cpm.ma".
+include "basic_2/rt_computation/cpms_cpms.ma".
+include "basic_2/rt_computation/cpts.ma".
+
+(* T-BOUND CONTEXT-SENSITIVE PARALLEL T-COMPUTATION FOR TERMS ***************)
+
+(* Forward lemmas with t-bound rt-computation for terms *********************)
+
+lemma cpts_fwd_cpms (h) (n) (G) (L):
+      ∀T1,T2. ⦃G,L⦄ ⊢ T1 ⬆*[h,n] T2 → ⦃G,L⦄ ⊢ T1 ➡*[n,h] T2.
+#h #n #G #L #T1 #T2 #H
+@(cpts_ind_dx … H) -n -T2 [ // ]
+#n1 #n2 #T #T2 #_ #IH #HT2
+/3 width=3 by cpms_step_dx, cpt_fwd_cpm/
+qed-.
+
+lemma cpts_cprs_trans (h) (n) (G) (L) (T):
+      ∀T1. ⦃G,L⦄ ⊢ T1 ⬆*[h,n] T →
+      ∀T2. ⦃G,L⦄ ⊢ T ➡*[h] T2 → ⦃G,L⦄ ⊢ T1 ➡*[n,h] T2.
+#h #n #G #L #T #T1 #HT1 #T2 #HT2
+/3 width=3 by cpts_fwd_cpms, cpms_cprs_trans/ qed-.