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/gr_id_eq.ma".
16 include "ground/relocation/gr_pat_eq.ma".
18 (* POSITIVE APPLICATION FOR GENERIC RELOCATION MAPS ***********************************************************)
20 (* Properties on id ************************************************)
23 lemma gr_pat_id (i): @❪i,𝐢❫ ≘ i.
24 /2 width=1 by gr_pat_eq, gr_eq_refl/ qed.
26 (* Inversions with id *)
29 lemma gr_pat_inv_id (f):
30 (∀i. @❪i,f❫ ≘ i) → 𝐢 ≡ f.
31 /3 width=1 by gr_pat_inv_eq, gr_id_eq/