matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_fdeq.ma

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  14
  15 include "static_2/static/fdeq.ma".
  16 include "basic_2/rt_computation/lpxs_rdeq.ma".
  17
  18 (* UNBOUND PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
  19
  20 (* Properties with degree-based equivalence on closures *********************)
  21
  22 lemma fdeq_lpxs_trans (h) (o): ∀G1,G2,L1,L0,T1,T2. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L0, T2⦄ →
  23                                ∀L2. ⦃G2, L0⦄ ⊢⬈*[h] L2 →
  24                                ∃∃L. ⦃G1, L1⦄ ⊢⬈*[h] L & ⦃G1, L, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄.
  25 #h #o #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
  26 elim (fdeq_inv_gen_dx … H1) -H1 #HG #HL10 #HT12 destruct
  27 elim (rdeq_lpxs_trans … HL02 … HL10) -L0 #L0 #HL10 #HL02
  28 /3 width=3 by fdeq_intro_dx, ex2_intro/
  29 qed-.