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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
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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 "ground/relocation/pr_fcla.ma".
16
17 (* FINITE COLENGTH ASSIGNMENT FOR PARTIAL RELOCATION MAPS *******************)
18
19 (* Main destructions ********************************************************)
20
21 (*** fcla_mono *)
22 theorem pr_fcla_mono (f):
23         âˆ€n1. đ‚❨f❊ â‰˜ n1 â†’ âˆ€n2. đ‚❨f❊ â‰˜ n2 â†’ n1 = n2.
24 #f #n #H elim H -f -n
25 [ /2 width=3 by pr_fcla_inv_isi/
26 | /3 width=3 by pr_fcla_inv_push/
27 | #f #n1 #_ #IH #n2 #H elim (pr_fcla_inv_next â€Ś H) -H [2,3 : // ]
28   #g #Hf #H destruct >IH //
29 ]
30 qed-.