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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
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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/grammar/term_vector.ma".
16 include "basic_2/grammar/tstc.ma".
17
18 (* SAME TOP TERM CONSTRUCTOR ************************************************)
19
20 (* Advanced inversion lemmas ************************************************)
21
22 (* Basic_1: was only: iso_flats_lref_bind_false iso_flats_flat_bind_false *)
23 lemma tstc_inv_bind_appls_simple: ∀I,Vs,V2,T1,T2. ⒶVs.T1 ≃ ⓑ{I} V2. T2 →
24                                   𝐒[T1] → False.
25 #I #Vs #V2 #T1 #T2 #H
26 elim (tstc_inv_pair2 … H) -H #V0 #T0
27 elim Vs -Vs normalize
28 [ #H destruct #H
29   @(simple_inv_bind … H)
30 | #V #Vs #_ #H destruct
31 ]
32 qed.
33