matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpt_drops.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   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_transition/cpg_drops.ma".
  16 include "basic_2/rt_transition/cpt.ma".
  17
  18 (* T-BOUND CONTEXT-SENSITIVE PARALLEL T-TRANSITION FOR TERMS ****************)
  19
  20 (* Properties with generic slicing for local environments *******************)
  21
  22 lemma cpt_lifts_sn (h) (n) (G):
  23       d_liftable2_sn … lifts (λL. cpt h G L n).
  24 #h #n #G #K #T1 #T2 * #c #Hc #HT12 #b #f #L #HLK #U1 #HTU1
  25 elim (cpg_lifts_sn … HT12 … HLK … HTU1) -K -T1
  26 /3 width=5 by ex2_intro/
  27 qed-.
  28
  29 lemma cpt_lifts_bi (h) (n) (G):
  30       d_liftable2_bi … lifts (λL. cpt h G L n).
  31 #h #n #G #K #T1 #T2 * /3 width=11 by cpg_lifts_bi, ex2_intro/
  32 qed-.
  33
  34 (* Inversion lemmas with generic slicing for local environments *************)
  35
  36 lemma cpt_inv_lifts_sn (h) (n) (G):
  37       d_deliftable2_sn … lifts (λL. cpt h G L n).
  38 #h #n #G #L #U1 #U2 * #c #Hc #HU12 #b #f #K #HLK #T1 #HTU1
  39 elim (cpg_inv_lifts_sn … HU12 … HLK … HTU1) -L -U1
  40 /3 width=5 by ex2_intro/
  41 qed-.
  42
  43 lemma cpt_inv_lifts_bi (h) (n) (G):
  44       d_deliftable2_bi … lifts (λL. cpt h G L n).
  45 #h #n #G #L #U1 #U2 * /3 width=11 by cpg_inv_lifts_bi, ex2_intro/
  46 qed-.