partial commit in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / substitution / lift_path_eq.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_eq.ma b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_eq.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 "delayed_updating/substitution/lift_path.ma".
+include "delayed_updating/substitution/lift_rmap_eq.ma".
+include "delayed_updating/substitution/prelift_label_eq.ma".
+
+(* LIFT FOR PATH ************************************************************)
+
+(* Constructions with path_eq ***********************************************)
+
+lemma lift_path_eq_repl (p):
+      stream_eq_repl … (λf1,f2. ↑[f1]p = ↑[f2]p).
+#p elim p -p //
+#l #p #IH #f1 #f2 #Hf
+<lift_path_rcons <lift_path_rcons
+@eq_f2 (**) (* auto fails *)
+[ /3 width=1 by lift_rmap_eq_repl, prelift_label_eq_repl/
+| @IH -IH //
+]
+qed.