update in ground

[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / pr_pat_id.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_pat_id.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_pat_id.ma
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+++ b/matita/matita/contribs/lambdadelta/ground/relocation/pr_pat_id.ma
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "ground/relocation/pr_id_eq.ma".
+include "ground/relocation/pr_pat_eq.ma".
+
+(* POSITIVE APPLICATION FOR PARTIAL RELOCATION MAPS *************************)
+
+(* Constructions with pr_id *************************************************)
+
+(*** id_at *)
+lemma pr_pat_id (i): @❪i,𝐢❫ ≘ i.
+/2 width=1 by pr_pat_eq, pr_eq_refl/ qed.
+
+(* Inversions with pr_id ****************************************************)
+
+(*** id_inv_at *)
+lemma pr_pat_inv_id (f):
+      (∀i. @❪i,f❫ ≘ i) → 𝐢 ≡ f.
+/3 width=1 by pr_pat_inv_eq, pr_id_eq/
+qed-.