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
index 32138ee12207e3db69d7a6585150c3900b1325fa..6283e2c211914bbc6fc8bdfe9f3ba7b8bb1204fa 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_head_depth.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_head_depth.ma
@@ -13,8 +13,8 @@
 (**************************************************************************)
 
 include "delayed_updating/syntax/path_head.ma".
-include "delayed_updating/syntax/path_depth_labels.ma".
 include "delayed_updating/syntax/path_height_labels.ma".
+include "delayed_updating/syntax/path_depth_labels.ma".
 
 (* HEAD FOR PATH ************************************************************)
 
@@ -24,12 +24,12 @@ 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 [ #m ]
-[ <path_head_d_sn <height_d_sn <depth_d_sn //
-| <path_head_m_sn <height_m_sn <depth_m_sn //
-| <path_head_L_sn <height_L_sn <depth_L_sn
+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_sn <height_A_sn <depth_A_sn //
-| <path_head_S_sn <height_S_sn <depth_S_sn //
+| <path_head_A_dx <height_A_dx <depth_A_dx //
+| <path_head_S_dx <height_S_dx <depth_S_dx //
 ]
-qed.
+qed-. (**) (* gets in the way with auto *)