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[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / tr_uni_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_uni_pap.ma".
+include "ground/relocation/tr_compose_pap.ma".
+include "ground/relocation/tr_pap_eq.ma".
+
+(* UNIFORM ELEMENTS FOR TOTAL RELOCATION MAPS *******************************)
+
+(* Main constructions with tr_compose and tr_tls ****************************)
+
+theorem tr_compose_uni_dx (f) (p):
+        (𝐮❨f@❨p❩❩∘⇂*[p]f ≗ f∘𝐮❨p❩).
+#f #p
+@nstream_eq_inv_ext #q
+<tr_compose_pap <tr_compose_pap
+<tr_uni_pap <tr_uni_pap
+<tr_pap_plus //
+qed.