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

   1 (**************************************************************************)
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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  14
  15 include "basic_2/rt_computation/csx_fpbq.ma".
  16 include "basic_2/rt_computation/fpbs.ma".
  17
  18 (* PARALLEL RST-COMPUTATION FOR CLOSURES ************************************)
  19
  20 (* Properties with sn for unbound parallel rt-transition for terms **********)
  21
  22 (* Basic_2A1: was: csx_fpbs_conf *)
  23 lemma fpbs_csx_conf: ∀h,G1,L1,T1. ⦃G1, L1⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ →
  24                      ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≥[h] ⦃G2, L2, T2⦄ → ⦃G2, L2⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄.
  25 #h #G1 #L1 #T1 #HT1 #G2 #L2 #T2 #H @(fpbs_ind … H) -G2 -L2 -T2
  26 /2 width=5 by csx_fpbq_conf/
  27 qed-.