matita/matita/contribs/lambdadelta/basic_2/syntax/theq_simple_vector.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   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/syntax/term_vector.ma".
  16 include "basic_2/syntax/theq_simple.ma".
  17
  18 (* HEAD EQUIVALENCE FOR TERMS ***********************************************)
  19
  20 (* Advanced inversion lemmas with simple (neutral) terms ********************)
  21
  22 (* Basic_1: was only: iso_flats_lref_bind_false iso_flats_flat_bind_false *)
  23 (* Basic_2A1: was: tsts_inv_bind_applv_simple *)
  24 lemma theq_inv_applv_bind_simple: ∀h,o,p,I,Vs,V2,T1,T2. ⒶVs.T1 ⩳[h, o] ⓑ{p,I}V2.T2 →
  25                                   𝐒⦃T1⦄ → ⊥.
  26 #h #o #p #I #Vs #V2 #T1 #T2 #H elim (theq_inv_pair2 … H) -H
  27 #V0 #T0 elim Vs -Vs normalize
  28 [ #H destruct #H /2 width=5 by simple_inv_bind/
  29 | #V #Vs #_ #H destruct
  30 ]
  31 qed-.