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/relocation/tr_map.ma".
17 (* PUSH AND NEXT FOR TOTAL RELOCATION MAPS **********************************)
19 definition tr_push: tr_map → tr_map ≝
23 "push (total relocation maps)"
24 'UpSpoon f = (tr_push f).
26 definition tr_next: tr_map → tr_map.
31 "next (total relocation maps)"
32 'UpArrow f = (tr_next f).
34 (* Basic constructions ******************************************************)
36 lemma tr_push_unfold (f): 𝟏⨮f = ⫯f.
39 lemma tr_next_unfold (f): ∀p. (↑p)⨮f = ↑(p⨮f).
42 (* Constructions with tr_inj ************************************************)
44 lemma tr_inj_push (f): ⫯𝐭❨f❩ = 𝐭❨⫯f❩.
47 lemma tr_inj_next (f): ↑𝐭❨f❩ = 𝐭❨↑f❩.