1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 include "ground/arith/nat_plus_rplus.ma".
16 include "ground/relocation/pr_pat_uni.ma".
17 include "ground/relocation/pr_nat_nat.ma".
19 (* NON-NEGATIVE APPLICATION FOR PARTIAL RELOCATION MAPS *********************)
21 (* Constructions with pr_uni ************************************************)
23 lemma pr_nat_uni (n) (l):
25 /2 width=1 by pr_nat_pred_bi/
28 (* Inversions with pr_uni ***************************************************)
30 lemma pr_nat_inv_uni (n) (l) (k):
31 @§❨l,𝐮❨n❩❩ ≘ k → k = l+n.
32 /2 width=4 by pr_nat_mono/ qed-.