update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / unwind_k / unwind2_path_lift.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind_k/unwind2_path_lift.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind_k/unwind2_path_lift.ma
new file mode 100644 (file)
index 0000000..abd7524
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/unwind_k/unwind2_path_lift.ma
@@ -0,0 +1,42 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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_k/unwind2_path.ma".
+include "delayed_updating/unwind_k/unwind2_rmap_lift.ma".
+include "delayed_updating/substitution/lift_path_structure.ma".
+
+(* TAILED UNWIND FOR PATH ***************************************************)
+
+(* Constructions with lift_path *********************************************)
+
+lemma lift_unwind2_path_after (g) (f) (p):
+      🠡[g]▼[f]p = ▼[g∘f]p.
+#g #f * // * [ #k ] #p //
+<unwind2_path_d_dx <unwind2_path_d_dx <lift_path_d_dx
+<lift_path_structure >tr_compose_pap
+/4 width=1 by tr_pap_eq_repl, eq_f2, eq_f/
+qed.
+
+lemma unwind2_lift_path_after (g) (f) (p):
+      ▼[g]🠡[f]p = ▼[g∘f]p.
+#g #f * // * [ #k ] #p
+[ <unwind2_path_d_dx <unwind2_path_d_dx
+  <structure_lift_path >tr_compose_pap
+  /4 width=1 by tr_pap_eq_repl, eq_f2, eq_f/
+| <unwind2_path_m_dx <unwind2_path_m_dx //
+| <unwind2_path_L_dx <unwind2_path_L_dx //
+| <unwind2_path_A_dx <unwind2_path_A_dx //
+| <unwind2_path_S_dx <unwind2_path_S_dx //
+]
+qed.