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1 (**************************************************************************)
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3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
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11 (*        v         GNU General Public License Version 2                  *)
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14
15 include "ground/relocation/pr_id_eq.ma".
16 include "ground/relocation/pr_pat_eq.ma".
17
18 (* POSITIVE APPLICATION FOR PARTIAL RELOCATION MAPS *************************)
19
20 (* Constructions with pr_id *************************************************)
21
22 (*** id_at *)
23 lemma pr_pat_id (i): @❨i,𝐢❩ ≘ i.
24 /2 width=1 by pr_pat_eq, pr_eq_refl/ qed.
25
26 (* Inversions with pr_id ****************************************************)
27
28 (*** id_inv_at *)
29 lemma pr_pat_inv_id (f):
30       (∀i. @❨i,f❩ ≘ i) → 𝐢 ≡ f.
31 /3 width=1 by pr_pat_inv_eq, pr_id_eq/
32 qed-.