matita/matita/contribs/lambdadelta/basic_2A/computation/scpds_lift.ma

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15 include "basic_2A/static/da_lift.ma".
  16 include "basic_2A/unfold/lstas_lift.ma".
  17 include "basic_2A/computation/cprs_lift.ma".
  18 include "basic_2A/computation/scpds.ma".
  19
  20 (* STRATIFIED DECOMPOSED PARALLEL COMPUTATION ON TERMS **********************)
  21
  22 (* Relocation properties ****************************************************)
  23
  24 lemma scpds_lift: ∀h,g,G,d. d_liftable (scpds h g d G).
  25 #h #g #G #d2 #K #T1 #T2 * #T #d1 #Hd21 #Hd1 #HT1 #HT2 #L #s #l #m
  26 elim (lift_total T l m)
  27 /3 width=15 by cprs_lift, da_lift, lstas_lift, ex4_2_intro/
  28 qed.
  29
  30 lemma scpds_inv_lift1: ∀h,g,G,d. d_deliftable_sn (scpds h g d G).
  31 #h #g #G #d2 #L #U1 #U2 * #U #d1 #Hd21 #Hd1 #HU1 #HU2 #K #s #l #m #HLK #T1 #HTU1
  32 lapply (da_inv_lift … Hd1 … HLK … HTU1) -Hd1 #Hd1
  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=8 by ex4_2_intro, ex2_intro/
  36 qed-.