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

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  14
  15 include "static_2/static/feqx.ma".
  16 include "basic_2/rt_computation/lpxs_reqx.ma".
  17
  18 (* EXTENDED PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
  19
  20 (* Properties with sort-irrelevant equivalence on closures ******************)
  21
  22 lemma feqx_lpxs_trans:
  23       ∀G1,G2,L1,L0,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L0,T2❫ →
  24       ∀L2. ❪G2,L0❫ ⊢⬈* L2 →
  25       ∃∃L. ❪G1,L1❫ ⊢⬈* L & ❪G1,L,T1❫ ≛ ❪G2,L2,T2❫.
  26 #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
  27 elim (feqx_inv_gen_dx … H1) -H1 #HG #HL10 #HT12 destruct
  28 elim (reqx_lpxs_trans … HL02 … HL10) -L0 #L0 #HL10 #HL02
  29 /3 width=3 by feqx_intro_dx, ex2_intro/
  30 qed-.