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14
15 include "ground/relocation/pr_tl.ma".
16 include "ground/relocation/pr_isu.ma".
17
18 (* UNIFORMITY CONDITION FOR PARTIAL RELOCATION MAPS *************************)
19
20 (* Constructions with pr_tl *************************************************)
21
22 lemma pr_isu_tl (f): 𝐔❨f❩ → 𝐔❨⫰f❩.
23 #f cases (pr_map_split_tl f) * #H
24 [ /3 width=3 by pr_isu_inv_push, pr_isu_isi/
25 | /2 width=3 by pr_isu_inv_next/
26 ]
27 qed.
28
29 (* Advanced inversions ******************************************************)
30
31 (*** isuni_split *)
32 lemma pr_isu_split (g): 𝐔❨g❩ → ∨∨ (∃∃f. 𝐈❨f❩ & ⫯f = g) | (∃∃f.𝐔❨f❩ & ↑f = g).
33 #g elim (pr_map_split_tl g) * #H
34 /4 width=3 by pr_isu_inv_next, pr_isu_inv_push, or_introl, or_intror, ex2_intro/
35 qed-.