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

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  14
  15 include "static_2/static/fdeq.ma".
  16 include "basic_2/rt_computation/cpxs_rdeq.ma".
  17
  18 (* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
  19
  20 (* Properties with degree-based equivalence for closures ********************)
  21
  22 lemma fdeq_cpxs_trans: ∀h,o,G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T⦄ →
  23                        ∀T2. ⦃G2, L2⦄ ⊢ T ⬈*[h] T2 →
  24                        ∃∃T0. ⦃G1, L1⦄ ⊢ T1 ⬈*[h] T0 & ⦃G1, L1, T0⦄ ≛[h, o] ⦃G2, L2, T2⦄.
  25 #h #o #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
  26 elim (fdeq_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
  27 elim (rdeq_cpxs_trans … HT2 … HL12) #T0 #HT0 #HT02
  28 lapply (cpxs_rdeq_conf_dx … HT2 … HL12) -HL12 #HL12
  29 elim (tdeq_cpxs_trans … HT1 … HT0) -T #T #HT1 #HT0
  30 /4 width=5 by fdeq_intro_dx, tdeq_trans, ex2_intro/
  31 qed-.