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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/syntax/term_simple.ma".
16 include "static_2/syntax/teqw.ma".
17
18 (* SORT-IRRELEVANT WHD EQUIVALENCE ON TERMS *********************************)
19
20 (* Properties with simple terms *********************************************)
21
22 lemma teqw_simple_trans:
23       âˆ€T1,T2. T1 â‰ƒ T2 â†’ đ’❚T1❩ â†’ đ’❚T2❩.
24 #T1 #T2 * -T1 -T2
25 [4,5: #p #V1 #V2 #T1 #T2 [ #_ ] #H
26       elim (simple_inv_bind â€Š H)
27 |*  : /1 width=1 by simple_atom, simple_flat/
28 ]
29 qed-.