matita/matita/contribs/lambdadelta/basic_2/etc/ssta1/cpds_lift.etc

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  14
  15 include "basic_2/unfold/lsstas_lift.ma".
  16 include "basic_2/computation/cprs_lift.ma".
  17 include "basic_2/computation/cpds.ma".
  18
  19 (* DECOMPOSED EXTENDED PARALLEL COMPUTATION ON TERMS ************************)
  20
  21 (* Relocation properties ****************************************************)
  22
  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/
  27 qed.
  28
  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/
  35 qed-.