1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 include "basic_2/unfold/lsstas_lift.ma".
16 include "basic_2/computation/cprs_lift.ma".
17 include "basic_2/computation/cpds.ma".
19 (* DECOMPOSED EXTENDED PARALLEL COMPUTATION ON TERMS ************************)
21 (* Relocation properties ****************************************************)
23 lemma cpds_lift: ∀h,g,G. l_liftable (cpds h g G).
24 #h #g #G #K #T1 #T2 * #T #l1 #l2 #Hl12 #Hl1 #HT1 #HT2 #L #s #d #e
25 elim (lift_total T d e)
26 /3 width=16 by cprs_lift, da_lift, lsstas_lift, ex4_3_intro/
29 lemma cpds_inv_lift1: ∀h,g,G. l_deliftable_sn (cpds h g G).
30 #h #g #G #L #U1 #U2 * #U #l1 #l2 #Hl12 #Hl1 #HU1 #HU2 #K #s #d #e #HLK #T1 #HTU1
31 lapply (da_inv_lift … Hl1 … HLK … HTU1) -Hl1 #Hl1
32 elim (lsstas_inv_lift1 … HU1 … HLK … HTU1) -U1 #T #HTU #HT1
33 elim (cprs_inv_lift1 … HU2 … HLK … HTU) -U -L
34 /3 width=9 by ex4_3_intro, ex2_intro/