(* *)
(**************************************************************************)
-include "delayed_updating/substitution/lift_eq.ma".
+include "delayed_updating/substitution/lift_path_id.ma".
include "ground/relocation/tr_uni_pap.ma".
+include "ground/relocation/tr_uni_tls.ma".
+include "ground/arith/nat_pred_succ.ma".
(* LIFT FOR PATH ************************************************************)
(* Constructions with tr_uni ************************************************)
-lemma lift_path_d_sn_uni (p) (m) (n):
- (𝗱(n+m)◗p) = ↑[𝐮❨m❩](𝗱(n)◗p).
-// qed.
+lemma lift_path_d_sn_uni (p) (n) (k):
+ (𝗱(k+n)◗p) = 🠡[𝐮❨n❩](𝗱k◗p).
+#p #n #k
+<lift_path_d_sn <tr_uni_pap >nsucc_pnpred
+<tr_tls_succ_uni //
+qed.