]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_head_structure.ma
partial update in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / syntax / path_head_structure.ma
diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_head_structure.ma b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_head_structure.ma
deleted file mode 100644 (file)
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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/syntax/path_head_depth.ma".
-include "delayed_updating/syntax/path_structure_labels.ma".
-
-(* HEAD FOR PATH ************************************************************)
-
-(* Constructions with structure *********************************************)
-
-lemma path_head_structure_height (p) (n):
-      ⊗↳[n]p = ↳[n+♯↳[n]p]⊗p.
-#p elim p -p //
-#l #p #IH #n @(nat_ind_succ … n) -n //
-#n #_ cases l [ #k ]
-[ <height_d_dx <structure_d_dx //
-| <structure_m_dx //
-| <structure_L_dx //
-| <height_A_dx <structure_A_dx <nplus_succ_sn <path_head_A_dx //
-| <height_S_dx <structure_S_dx <nplus_succ_sn <path_head_S_dx //
-]
-qed.
-
-lemma path_head_structure_depth (p) (n):
-      ⊗↳[n]p = ↳[♭↳[n]p]⊗p.
-#p #n
-<path_head_depth //
-qed.