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14
15 include "ground/notation/functions/downspoon_1.ma".
16 include "ground/lib/stream_hdtl.ma".
17 include "ground/relocation/pr_map.ma".
18
19 (* TAIL FOR PARTIAL RELOCATION MAPS *****************************************)
20
21 (*** tl *)
22 definition pr_tl (f): pr_map ≝ ⇂f.
23
24 interpretation
25   "tail (partial relocation maps)"
26   'DownSpoon f = (pr_tl f).
27
28 (* Basic constructions ******************************************************)
29
30 (*** tl_push_rew *)
31 lemma pr_tl_push (f): f = ⫰⫯f.
32 // qed.
33
34 (*** tl_next_rew *)
35 lemma pr_tl_next (f): f = ⫰↑f.
36 // qed.
37
38 (* Basic eliminations *******************************************************)
39
40 (*** pn_split pr_map_split *)
41 lemma pr_map_split_tl (f): ∨∨ ⫯⫰f = f | ↑⫰f = f.
42 * * /2 width=1 by or_introl, or_intror/
43 qed-.