matita/matita/contribs/lambdadelta/basic_2A/grammar/tsts_vector.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_2A/grammar/term_vector.ma".
  16 include "basic_2A/grammar/tsts.ma".
  17
  18 (* SAME TOP TERM STRUCTURE **************************************************)
  19
  20 (* Advanced inversion lemmas ************************************************)
  21
  22 (* Basic_1: was only: iso_flats_lref_bind_false iso_flats_flat_bind_false *)
  23 lemma tsts_inv_bind_applv_simple: ∀a,I,Vs,V2,T1,T2. ⒶVs.T1 ≂ ⓑ{a,I} V2. T2 →
  24                                   𝐒⦃T1⦄ → ⊥.
  25 #a #I #Vs #V2 #T1 #T2 #H
  26 elim (tsts_inv_pair2 … H) -H #V0 #T0
  27 elim Vs -Vs normalize
  28 [ #H destruct #H /2 width=5 by simple_inv_bind/
  29 | #V #Vs #_ #H destruct
  30 ]
  31 qed-.