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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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11 (* v GNU General Public License Version 2 *)
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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".
20 (* LIFT FOR PATH ************************************************************)
22 (* Constructions with tr_uni ************************************************)
24 lemma lift_path_d_sn_uni (p) (n) (k):
25 (𝗱(k+n)◗p) = ↑[𝐮❨n❩](𝗱k◗p).
27 <lift_path_d_sn <tr_uni_pap >nsucc_pnpred