refactoring to park the notions:

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/scpds_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/scpds_lift.ma
new file mode 100644 (file)
index 0000000..f63fd3a
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/scpds_lift.ma
@@ -0,0 +1,36 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/static/da_lift.ma".
+include "basic_2/unfold/lstas_lift.ma".
+include "basic_2/computation/cprs_lift.ma".
+include "basic_2/computation/scpds.ma".
+
+(* STRATIFIED DECOMPOSED PARALLEL COMPUTATION ON TERMS **********************)
+
+(* Relocation properties ****************************************************)
+
+lemma scpds_lift: ∀h,o,G,d. d_liftable (scpds h o d G).
+#h #o #G #d2 #K #T1 #T2 * #T #d1 #Hd21 #Hd1 #HT1 #HT2 #L #c #l #k
+elim (lift_total T l k)
+/3 width=15 by cprs_lift, da_lift, lstas_lift, ex4_2_intro/
+qed.
+
+lemma scpds_inv_lift1: ∀h,o,G,d. d_deliftable_sn (scpds h o d G).
+#h #o #G #d2 #L #U1 #U2 * #U #d1 #Hd21 #Hd1 #HU1 #HU2 #K #c #l #k #HLK #T1 #HTU1
+lapply (da_inv_lift … Hd1 … HLK … HTU1) -Hd1 #Hd1
+elim (lstas_inv_lift1 … HU1 … HLK … HTU1) -U1 #T #HTU #HT1
+elim (cprs_inv_lift1 … HU2 … HLK … HTU) -U -L
+/3 width=8 by ex4_2_intro, ex2_intro/
+qed-.