matita/matita/contribs/lambdadelta/basic_2/computation/cpds_lift.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "basic_2/static/da_lift.ma".
  16 include "basic_2/unfold/lstas_lift.ma".
  17 include "basic_2/computation/cprs_lift.ma".
  18 include "basic_2/computation/cpds.ma".
  19
  20 (* DECOMPOSED EXTENDED PARALLEL COMPUTATION ON TERMS ************************)
  21
  22 (* Relocation properties ****************************************************)
  23
  24 lemma cpds_lift: ∀h,g,G. l_liftable (cpds h g G).
  25 #h #g #G #K #T1 #T2 * #T #l1 #l2 #Hl12 #Hl1 #HT1 #HT2 #L #s #d #e
  26 elim (lift_total T d e)
  27 /3 width=16 by cprs_lift, da_lift, lstas_lift, ex4_3_intro/
  28 qed.
  29
  30 lemma cpds_inv_lift1: ∀h,g,G. l_deliftable_sn (cpds h g G).
  31 #h #g #G #L #U1 #U2 * #U #l1 #l2 #Hl12 #Hl1 #HU1 #HU2 #K #s #d #e #HLK #T1 #HTU1
  32 lapply (da_inv_lift … Hl1 … HLK … HTU1) -Hl1 #Hl1
  33 elim (lstas_inv_lift1 … HU1 … HLK … HTU1) -U1 #T #HTU #HT1
  34 elim (cprs_inv_lift1 … HU2 … HLK … HTU) -U -L
  35 /3 width=9 by ex4_3_intro, ex2_intro/
  36 qed-.