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

   1 (**************************************************************************)
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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
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  14
  15 include "basic_2/rt_transition/fpb_lpx.ma".
  16 include "basic_2/rt_computation/csx_fqus.ma".
  17 include "basic_2/rt_computation/csx_reqg.ma".
  18 include "basic_2/rt_computation/csx_lpx.ma".
  19
  20 (* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
  21
  22 (* Properties with parallel rst-transition for closures *********************)
  23
  24 (* Basic_2A1: was: csx_fpb_conf *)
  25 lemma csx_fpb_conf:
  26       ∀G1,L1,T1. ❪G1,L1❫ ⊢ ⬈*𝐒 T1 →
  27       ∀G2,L2,T2. ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫ → ❪G2,L2❫ ⊢ ⬈*𝐒 T2.
  28 #G1 #L1 #T1 #HT1 #G2 #L2 #T2 #H
  29 elim (fpb_inv_req … H) -H #L0 #L #T #H1 #HT2 #HL0 #HL02
  30 lapply (cpx_reqg_conf … HL0 … HT2) -HT2 // #HT2
  31 /5 width=8 by csx_fquq_conf, csx_cpx_trans, csx_lpx_conf, csx_reqg_conf/
  32 qed-.