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

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  14
  15 include "basic_2/rt_transition/fpb_lpx.ma".
  16 include "basic_2/rt_computation/fpbs_feqg.ma".
  17
  18 (* PARALLEL RST-COMPUTATION FOR CLOSURES ************************************)
  19
  20 (* Properties with extended rt-transition on full local environments  *******)
  21
  22 lemma fpbs_lpx_trans (L):
  23       ∀G1,G2,L1,T1,T2. ❨G1,L1,T1❩ ≥ ❨G2,L,T2❩ →
  24       ∀L2. ❨G2,L❩ ⊢ ⬈ L2 → ❨G1,L1,T1❩ ≥ ❨G2,L2,T2❩.
  25 /3 width=5 by fpbs_strap1, lpx_fpb/ qed-.
  26
  27 lemma teqg_reqg_lpx_fpbs (S):
  28       reflexive … S → symmetric … S →
  29       ∀T1,T2. T1 ≛[S] T2 → ∀L1,L0. L1 ≛[S,T2] L0 →
  30       ∀G,L2. ❨G,L0❩ ⊢ ⬈ L2 → ❨G,L1,T1❩ ≥ ❨G,L2,T2❩.
  31 /4 width=7 by feqg_fpbs, fpbs_strap1, lpx_fpb, feqg_intro_dx/ qed.