matita/matita/contribs/lambdadelta/static_2/static/feqg_fqu.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/static/feqg_length.ma".
  16
  17 (* GENERIC EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *********************)
  18
  19 (* Properties with structural successor for closures ************************)
  20
  21 lemma fqu_fneqg (S) (b) (G1) (G2) (L1) (L2) (T1) (T2):
  22       ❪G1,L1,T1❫ ⬂[b] ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≛[S] ❪G2,L2,T2❫ → ⊥.
  23 #S #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
  24 [ /3 width=8 by feqg_fwd_length, succ_inv_refl_sn/
  25 | /3 width=9 by teqg_inv_pair_xy_x, feqg_fwd_teqg/
  26 | /3 width=9 by teqg_inv_pair_xy_y, feqg_fwd_teqg/
  27 | /3 width=9 by teqg_inv_pair_xy_y, feqg_fwd_teqg/
  28 | /3 width=9 by teqg_inv_pair_xy_y, feqg_fwd_teqg/
  29 | /3 width=8 by feqg_fwd_length, succ_inv_refl_sn/
  30 ]
  31 qed-.