matita/matita/contribs/lambdadelta/static_2/relocation/lifts_teqx.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 "static_2/relocation/lifts_teqg.ma".
  16 include "static_2/syntax/teqx.ma".
  17
  18 (* GENERIC RELOCATION FOR TERMS *********************************************)
  19
  20 (* Properties with sort-irrelevant equivalence for terms ********************)
  21
  22 lemma teqx_lifts_sn: liftable2_sn teqx.
  23 /2 width=3 by teqg_lifts_sn/ qed-.
  24
  25 lemma teqx_lifts_dx: liftable2_dx teqx.
  26 /2 width=3 by teqg_lifts_dx/ qed-.
  27
  28 lemma teqx_lifts_bi: liftable2_bi teqx.
  29 /2 width=6 by teqg_lifts_bi/ qed-.
  30
  31 (* Inversion lemmas with sort-irrelevant equivalence for terms **************)
  32
  33 lemma teqx_inv_lifts_sn: deliftable2_sn teqx.
  34 /2 width=3 by teqg_inv_lifts_sn/ qed-.
  35
  36 lemma teqx_inv_lifts_dx: deliftable2_dx teqx.
  37 /2 width=3 by teqg_inv_lifts_dx/ qed-.
  38
  39 lemma teqx_inv_lifts_bi: deliftable2_bi teqx.
  40 /2 width=6 by teqg_inv_lifts_bi/ qed-.
  41
  42 lemma teqx_lifts_inv_pair_sn (I) (f):
  43       ∀X,T. ⇧*[f]X ≘ T → ∀V. ②[I]V.T ≅ X → ⊥.
  44 /2 width=8 by teqg_lifts_inv_pair_sn/ qed-.