(* Constructions with structure ********************************************)
lemma lift_d_empty_dx (n) (p) (f):
- (āp)āš±āØ(ā[pāš±āØnā©]f)@āØnā©ā© = ā[f](pāš±āØnā©).
+ (āp)āš±((ā[p]f)@āØnā©) = ā[f](pāš±n).
#n #p @(path_ind_lift ā¦ p) -p // [ #m #l #p |*: #p ] #IH #f
-[ <lift_rmap_d_lcons_sn <lift_path_d_lcons_sn //
+[ <lift_rmap_d_sn <lift_path_d_lcons_sn //
| <lift_rmap_L_sn <lift_path_L_sn <IH //
| <lift_rmap_A_sn <lift_path_A_sn <IH //
| <lift_rmap_S_sn <lift_path_S_sn <IH //