partial update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / syntax / path_head_depth.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_head_depth.ma b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_head_depth.ma
deleted file mode 100644 (file)
index 6283e2c..0000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_head_depth.ma
+++ /dev/null
@@ -1,35 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/syntax/path_head.ma".
-include "delayed_updating/syntax/path_height_labels.ma".
-include "delayed_updating/syntax/path_depth_labels.ma".
-
-(* HEAD FOR PATH ************************************************************)
-
-(* Constructions with depth and height **************************************)
-
-lemma path_head_depth (p) (n):
-      n + ♯(↳[n]p) = ♭↳[n]p.
-#p elim p -p // #l #p #IH
-#n @(nat_ind_succ … n) -n // #n #_
-cases l [ #k ]
-[ <path_head_d_dx <height_d_dx <depth_d_dx <IH //
-| <path_head_m_dx <height_m_dx <depth_m_dx //
-| <path_head_L_dx <height_L_dx <depth_L_dx
-  <nplus_succ_sn //
-| <path_head_A_dx <height_A_dx <depth_A_dx //
-| <path_head_S_dx <height_S_dx <depth_S_dx //
-]
-qed-. (**) (* gets in the way with auto *)