update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/tr_id_compose.ma b/matita/matita/contribs/lambdadelta/ground/relocation/tr_id_compose.ma
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+++ b/matita/matita/contribs/lambdadelta/ground/relocation/tr_id_compose.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/tr_id_pap.ma".
+include "ground/relocation/tr_compose_pap.ma".
+include "ground/relocation/tr_pap_eq.ma".
+
+(* IDENTITY ELEMENT FOR TOTAL RELOCATION MAPS *******************************)
+
+(* Coonstructions with tr_compose *******************************************)
+
+lemma tr_compose_id_sn (f):
+      f ≗ 𝐢∘f.
+#f @nstream_eq_inv_ext #q //
+qed.
+
+lemma tr_compose_id_dx (f):
+      f ≗ f∘𝐢.
+#f @nstream_eq_inv_ext #q //
+qed.