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[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / nstream_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/notation/functions/identity_0.ma".
+include "ground/relocation/rtmap_eq.ma".
+
+(* RELOCATION N-STREAM ******************************************************)
+
+corec definition id: rtmap ≝ ⫯id.
+
+interpretation "identity (nstream)"
+   'Identity = (id).
+
+(* Basic properties *********************************************************)
+
+lemma id_rew: ⫯𝐈𝐝 = 𝐈𝐝.
+<(stream_rew … (𝐈𝐝)) in ⊢ (???%); normalize //
+qed.
+
+lemma id_eq_rew: ⫯𝐈𝐝 ≡ 𝐈𝐝.
+cases id_rew in ⊢ (??%); //
+qed.