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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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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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  13 (**************************************************************************)
  14
  15 include "delayed_updating/substitution/lift_path.ma".
  16 include "delayed_updating/substitution/lift_rmap_eq.ma".
  17 include "delayed_updating/substitution/prelift_label_eq.ma".
  18
  19 (* LIFT FOR PATH ************************************************************)
  20
  21 (* Constructions with path_eq ***********************************************)
  22
  23 lemma lift_path_eq_repl (p):
  24       stream_eq_repl … (λf1,f2. ↑[f1]p = ↑[f2]p).
  25 #p elim p -p //
  26 #l #p #IH #f1 #f2 #Hf
  27 <lift_path_rcons <lift_path_rcons
  28 @eq_f2 (**) (* auto fails *)
  29 [ /3 width=1 by lift_rmap_eq_repl, prelift_label_eq_repl/
  30 | @IH -IH //
  31 ]
  32 qed.