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

   1 (**************************************************************************)
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   3 (*      ||M||                                                             *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  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): ∀G,L,T. ⦃G,L⦄ ⊢ T ![a,h] → ≥[h] 𝐒⦃G,L,T⦄.
  24 #a #h #G #L #T #H elim (cnv_fwd_aaa … H) -H /2 width=2 by aaa_fsb/
  25 qed-.
  26
  27 (* Forward lemmas with strongly rt-normalizing terms ************************)
  28
  29 lemma cnv_fwd_csx (a) (h): ∀G,L,T. ⦃G,L⦄ ⊢ T ![a,h] → ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
  30 #a #h #G #L #T #H
  31 /3 width=2 by cnv_fwd_fsb, fsb_inv_csx/
  32 qed-.
  33
  34 (* Inversion lemmas with proper parallel rst-computation for closures *******)
  35
  36 lemma cnv_fpbg_refl_false (a) (h) (G) (L) (T):
  37                           ⦃G,L⦄ ⊢ T ![a,h] → ⦃G,L,T⦄ >[h] ⦃G,L,T⦄ → ⊥.
  38 /3 width=7 by cnv_fwd_fsb, fsb_fpbg_refl_false/ qed-.