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11 (*        v         GNU General Public License Version 2                  *)
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14
15 include "delayed_updating/relocation/tr_minus.ma".
16 include "ground/relocation/tr_pn.ma".
17 include "ground/arith/nat_succ.ma".
18
19 (* RIGHT SUBTRACTION FOR TOTAL RELOCATION MAPS ******************************)
20
21 (* Constructions with tr_push ***********************************************)
22
23 lemma tr_minus_push_succ (f) (n):
24       (⫯(f-↑n)) = (⫯f)-↑n.
25 #f #n <tr_minus_cons_inj //
26 qed.
27
28 (* Constructions with tr_next ***********************************************)
29
30 lemma tr_minus_next_succ (n) (f:tr_map):
31       f-n = (↑f)-↑n.
32 * [| #n ] * #p #f
33 <tr_minus_cons_inj //
34 <tr_minus_cons_inj //
35 qed.