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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   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_conversion/lpce.ma".
  16 include "basic_2/dynamic/cnv.ma".
  17
  18 (* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
  19
  20 theorem cnv_cpce_trans_lpce (h) (G):
  21         ∀L1,T1,T2. ⦃G,L1⦄ ⊢ T1 ⬌η[h] T2 → ⦃G,L1⦄ ⊢ T1 !*[h] →
  22         ∀L2. ⦃G,L1⦄ ⊢ ⬌η[h] L2 → ⦃G,L2⦄ ⊢ T2 !*[h].
  23 #h #G #L1 #T1 #T2 #H elim H -G -L1 -T1 -T2
  24 [ #G #L1 #s #_ #L2 #_ //
  25 | #G #K1 #V1 #_ #Y2 #HY
  26   elim (lpce_inv_pair_sn … HY) -HY #K2 #V2 #HK #HV #H destruct