matita/matita/contribs/lambdadelta/basic_2/etc/fpbg/fpbg_fpns.etc

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  14
  15 include "basic_2/computation/fpns.ma".
  16 include "basic_2/computation/fpbg.ma".
  17
  18 (* GENEARAL "BIG TREE" PROPER PARALLEL COMPUTATION FOR CLOSURES *************)
  19
  20 (* Properties on parallel computation for "big tree" normal forms ***********)
  21
  22 axiom fpns_fpbg_trans: ∀h,g,F1,F2,K1,K2,T1,T2. ⦃F1, K1, T1⦄  ⊢ ⋕➡*[h, g] ⦃F2, K2, T2⦄ →
  23                        ∀G2,L2,U2. ⦃F2, K2, T2⦄ >[h, g] ⦃G2, L2, U2⦄ →
  24                        ∃∃G1,L1,U1. ⦃F1, K1, T1⦄ >[h, g] ⦃G1, L1, U1⦄ & ⦃G1, L1, U1⦄  ⊢ ⋕➡*[h, g] ⦃G2, L2, U2⦄.
  25 (*
  26 #h #g #F1 #F2 #K1 #K2 #T1 #T2 * -F2 -K2 -T2
  27 #K2 #HK12 #HT1 #G2 #L2 #U2 * -G2 -L2 -U2
  28 [ /4 width=9 by fpbc_cpxs, fpns_intro, lpxs_cpxs_trans, lleq_cpxs_conf_dx, ex2_3_intro/
  29 |  #G2 #L2 #U2 #H12 elim (lpxs_lleq_fqup_trans … H12 … HK12 HT1) -K2
  30   /3 width=5 by fpbc_fqup, fpns_intro, ex2_3_intro/
  31 | /5 width=5 by fpbc_lpxs, lpxs_trans, lleq_canc_sn, ex2_3_intro/
  32 ]
  33 qed-.
  34 *)