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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
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11 (*        v         GNU General Public License Version 2                  *)
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14
15 include "static_2/syntax/term_simple.ma".
16 include "static_2/syntax/teqo.ma".
17
18 (* SORT-IRRELEVANT OUTER EQUIVALENCE FOR TERMS ******************************)
19
20 (* Properies with simple (neutral) terms ************************************)
21
22 (* Basic_2A1: was: simple_tsts_repl_dx *)
23 lemma simple_teqo_repl_dx: âˆ€T1,T2. T1 ~ T2 â†’ đ’❚T1❩ â†’ đ’❚T2❩.
24 #T1 #T2 * -T1 -T2 //
25 #I #V1 #V2 #T1 #T2 #H
26 elim (simple_inv_pair â€Š H) -H #J #H destruct //
27 qed-.
28
29 (* Basic_2A1: was: simple_tsts_repl_sn *)
30 lemma simple_teqo_repl_sn: âˆ€T1,T2. T1 ~ T2 â†’ đ’❚T2❩ â†’ đ’❚T1❩.
31 /3 width=3 by simple_teqo_repl_dx, teqo_sym/ qed-.