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

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  14
  15 include "static_2/static/feqx.ma".
  16 include "basic_2/rt_computation/cpxs_reqx.ma".
  17
  18 (* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
  19
  20 (* Properties with sort-irrelevant equivalence for closures *****************)
  21
  22 lemma feqx_cpxs_trans: ∀h,G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ≛ ❪G2,L2,T❫ →
  23                        ∀T2. ❪G2,L2❫ ⊢ T ⬈*[h] T2 →
  24                        ∃∃T0. ❪G1,L1❫ ⊢ T1 ⬈*[h] T0 & ❪G1,L1,T0❫ ≛ ❪G2,L2,T2❫.
  25 #h #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
  26 elim (feqx_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
  27 elim (reqx_cpxs_trans … HT2 … HL12) #T0 #HT0 #HT02
  28 lapply (cpxs_reqx_conf_dx … HT2 … HL12) -HL12 #HL12
  29 elim (teqx_cpxs_trans … HT1 … HT0) -T #T #HT1 #HT0
  30 /4 width=5 by feqx_intro_dx, teqx_trans, ex2_intro/
  31 qed-.