include "delayed_updating/substitution/lift_structure_depth.ma".
include "delayed_updating/syntax/prototerm_proper_constructors.ma".
include "delayed_updating/syntax/path_structure_depth.ma".
-include "ground/relocation/tr_id_pap.ma".
-include "ground/relocation/tr_id_pushs.ma".
+include "ground/relocation/tr_pap_pushs.ma".
(* DELAYED FOCUSED REDUCTION ************************************************)
t1 ➡𝐝𝐟[p,q] t2 → ↑[f]t1 ➡𝐟[⊗p,⊗q] ↑[f]t2.
#f #p #q #t1 #t2 #H0t1
* #b #n * #Hb #Hn #Ht1 #Ht2
-@(ex1_2_intro … (⊗b) (❘⊗q❘)) @and4_intro
+@(ex1_2_intro â\80¦ (â\8a\97b) (â\86\91â\9d\98â\8a\97qâ\9d\98)) @and4_intro
[ //
-| //
-| lapply (in_comp_lift_bi f … Ht1) -Ht1 -H0t1 -Hb -Ht2 #Ht1
- <depth_structure
+| #g <lift_rmap_structure <depth_structure
+ >tr_pushs_swap <tr_pap_pushs_le //
+| lapply (in_comp_lift_bi f … Ht1) -Ht1 -H0t1 -Hb -Ht2
+ <lift_d_empty_dx //
| lapply (eq_lift_bi f … Ht2) -Ht2 #Ht2
@(subset_eq_trans … Ht2) -t2
@(subset_eq_trans … (lift_fsubst …))