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14
15 include "ground/relocation/pr_isi.ma".
16 include "ground/relocation/pr_sle.ma".
17
18 (* INCLUSION FOR PARTIAL RELOCATION MAPS ************************************)
19
20 (* Constructions with pr_isi ************************************************)
21
22 (*** sle_isid_sn *)
23 corec lemma pr_sle_isi_sn:
24             ∀f1. 𝐈❨f1❩ → ∀f2. f1 ⊆ f2.
25 #f1 * -f1
26 #f1 #g1 #Hf1 #H1 #f2 cases (pr_map_split_tl f2) *
27 /3 width=5 by pr_sle_weak, pr_sle_push/
28 qed.
29
30 (* Inversions with pr_isi ***************************************************)
31
32 (*** sle_inv_isid_dx *)
33 corec lemma pr_sle_inv_isi_dx:
34             ∀f1,f2. f1 ⊆ f2 → 𝐈❨f2❩ → 𝐈❨f1❩.
35 #f1 #f2 * -f1 -f2
36 #f1 #f2 #g1 #g2 #Hf * * #H
37 [2,3: elim (pr_isi_inv_next … H) // ]
38 lapply (pr_isi_inv_push … H ??) -H
39 /3 width=3 by pr_isi_push/
40 qed-.