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 (* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS *************)
  19
  20 (* Properties with sort-irrelevant equivalence for closures *****************)
  21
  22 (* to be updated *)
  23 lemma feqx_cpxs_trans:
  24       ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ≛ ❪G2,L2,T❫ →
  25       ∀T2. ❪G2,L2❫ ⊢ T ⬈* T2 →
  26       ∃∃T0. ❪G1,L1❫ ⊢ T1 ⬈* T0 & ❪G1,L1,T0❫ ≛ ❪G2,L2,T2❫.
  27 #G1 #G2 #L1 #L2 #T1 #T #H #T2 #H2T2
  28 elim (feqx_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
  29 lapply (reqx_cpxs_trans … H2T2 … HL12) #H1T2
  30 lapply (cpxs_reqx_conf_dx … H2T2 … HL12) -HL12 #HL12
  31 lapply (teqx_cpxs_trans … HT1 … H1T2) -T #HT12
  32 /3 width=3 by feqx_intro_dx, ex2_intro/
  33 qed-.