matita/matita/contribs/lambdadelta/ground/relocation/pr_pat_id.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  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-.