partial commit in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / unwind / preunwind2_rmap_lift.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/preunwind2_rmap_lift.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind/preunwind2_rmap_lift.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/unwind/preunwind2_rmap.ma".
+include "delayed_updating/substitution/prelift_label.ma".
+include "delayed_updating/substitution/prelift_rmap.ma".
+include "ground/relocation/tr_uni_compose.ma".
+include "ground/relocation/tr_compose_compose.ma".
+include "ground/relocation/tr_compose_eq.ma".
+include "ground/lib/stream_eq_eq.ma".
+
+(* TAILED PREUNWIND FOR RELOCATION MAP **************************************)
+
+(* Constructions with lift_path *********************************************)
+
+lemma preunwind2_lift_rmap_after (g) (f) (l):
+      ▶[g]↑[f]l∘↑[l]f ≗ ▶[g∘f]l.
+#g #f * // #k
+<prelift_label_d <prelift_rmap_d <preunwind2_rmap_d <preunwind2_rmap_d
+@(stream_eq_trans … (tr_compose_assoc …))
+@(stream_eq_canc_dx … (tr_compose_assoc …))
+/2 width=1 by tr_compose_eq_repl/
+qed.