include "ground/relocation/tr_id_pap.ma".
include "ground/relocation/tr_id_tls.ma".
-(* LIFT FOR PATH ***********************************************************)
+(* LIFT FOR PATH ************************************************************)
-(* Constructions with tr_id ************************************************)
+(* Constructions with proj_path and tr_id ***********************************)
lemma lift_path_id (p):
p = ↑[𝐢]p.
| <lift_path_L_sn //
]
qed.
+
+(* Constructions with proj_rmap and tr_id ***********************************)
+
+lemma lift_rmap_id (p):
+ (𝐢) = ↑[p]𝐢.
+#p elim p -p //
+* [ #n ] #p #IH //
+qed.