+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "apps_2/models/model_li.ma".
-include "apps_2/models/veq_vdrop.ma".
-
-(* EVALUATION EQUIVALENCE **************************************************)
-
-(* Properties with local environment interpretation *************************)
-
-lemma li_repl_back (M) (gv): is_model M →
- ∀L,lv1. lv1 ϵ ⟦L⟧[gv] →
- ∀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_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_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_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-.