(**************************************************************************)
include "apps_2/models/model_li.ma".
-include "apps_2/models/veq.ma".
+include "apps_2/models/veq_vdrop.ma".
(* EVALUATION EQUIVALENCE **************************************************)
∀lv2. lv1 ≗{M} lv2 → lv2 ϵ ⟦L⟧[gv].
#M #gv #HM #L #lv1 #H elim H -L -lv1 //
[ #lv1 #d1 #K #V #_ #Hd #IH #y #H
- elim (veq_inv_push_sn … H) -H #lv2 #d2 #Hlv12 #Hd12 #H destruct
- /4 width=5 by li_abbr, ti_comp_l, mr/
+ elim (veq_inv_vlift_sn … H) -H #lv2 #d2 #Hlv12 #Hd12 #Hy
+ /5 width=5 by li_repl, li_abbr, ti_comp_l, mr/
| #lv1 #d1 #K #W #_ #IH #y #H
- elim (veq_inv_push_sn … H) -H #lv2 #d2 #Hlv12 #_ #H destruct
- /3 width=1 by li_abst/
+ elim (veq_inv_vlift_sn … H) -H #lv2 #d2 #Hlv12 #_ #Hy
+ /4 width=3 by li_repl, li_abst/
| #lv1 #d1 #I #K #_ #IH #y #H
- elim (veq_inv_push_sn … H) -H #lv2 #d2 #Hlv12 #_ #H destruct
- /3 width=1 by li_unit/
+ elim (veq_inv_vlift_sn … H) -H #lv2 #d2 #Hlv12 #_ #Hy
+ /4 width=3 by li_repl, li_unit/
+| #lv1 #lv #L #_ #Hlv1 #IH #lv2 #Hlv2
+ @IH /2 width=3 by exteq_veq_trans/
]
qed-.