matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_fsb.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "basic_2/rt_computation/fsb_aaa.ma".
  16 include "basic_2/dynamic/cnv_aaa.ma".
  17
  18 (* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
  19
  20 (* Forward lemmas with strongly rst-normalizing closures ********************)
  21
  22 (* Basic_2A1: uses: snv_fwd_fsb *)
  23 lemma cnv_fwd_fsb (a) (h) (o): ∀G,L,T. ⦃G, L⦄ ⊢ T ![a, h] → ≥[h, o] 𝐒⦃G, L, T⦄.
  24 #a #h #o #G #L #T #H elim (cnv_fwd_aaa … H) -H /2 width=2 by aaa_fsb/
  25 qed-.
  26
  27 (* Inversion lemmas with proper parallel rst-computation for closures *******)
  28
  29 lemma cnv_fpbg_refl_false (a) (h) (o) (G) (L) (T):
  30                           ⦃G, L⦄ ⊢ T ![a,h] → ⦃G, L, T⦄ >[h,o] ⦃G, L, T⦄ → ⊥.
  31 /3 width=7 by cnv_fwd_fsb, fsb_fpbg_refl_false/ qed-.