matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_path_uni.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                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "delayed_updating/substitution/lift_path_id.ma".
  16 include "ground/relocation/tr_uni_pap.ma".
  17 include "ground/relocation/tr_uni_tls.ma".
  18 include "ground/arith/nat_pred_succ.ma".
  19
  20 (* LIFT FOR PATH ************************************************************)
  21
  22 (* Constructions with tr_uni ************************************************)
  23
  24 lemma lift_path_d_sn_uni (p) (n) (k):
  25       (𝗱(k+n)◗p) = 🠡[𝐮❨n❩](𝗱k◗p).
  26 #p #n #k
  27 <lift_path_d_sn <tr_uni_pap >nsucc_pnpred
  28 <tr_tls_succ_uni //
  29 qed.