matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_structure.ma

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15 include "delayed_updating/substitution/lift_path.ma".
  16 include "delayed_updating/syntax/path_structure.ma".
  17
  18 (* LIFT FOR PATH ************************************************************)
  19
  20 (* Constructions with structure *********************************************)
  21
  22 lemma structure_lift_path (f) (p):
  23       ⊗p = ⊗🠡[f]p.
  24 #f #p elim p -p //
  25 * [ #k ] #p #IH //
  26 [ <lift_path_d_dx <structure_d_dx <structure_d_dx //
  27 | <lift_path_m_dx <structure_m_dx <structure_m_dx //
  28 ]
  29 qed.
  30
  31 lemma lift_path_structure (f) (p):
  32       ⊗p = 🠡[f]⊗p.
  33 #f #p elim p -p //
  34 * [ #k ] #p #IH //
  35 qed.