+++ /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 "basic_2/substitution/lift.ma".
-include "apps_2/models/model_lower.ma".
-include "apps_2/models/model_sound.ma".
-
-(* MODEL ********************************************************************)
-
-(* Forward lemmas on basic relocation ***************************************)
-
-lemma sound_fwd_lift: ∀M. sound M → extensional M →
- ∀sv,gv,T1,T2,l,m. ⬆[l, m] T1 ≡ T2 →
- ∀lv. 〚T1〛{sv, gv, ↓[l, m]⦋M⦌ lv} = 〚T2〛{sv, gv, lv}.
-#M #H1M #H2M #sv #gv #T1 #T2 #l #m #H elim H -T1 -T2 -l -m
-[ #k #l #m #lv >(m1 … H1M) >(m1 … H1M) -H1M //
-| #i #l #m #Hil #lv >(m2 … H1M) >(m2 … H1M) -H1M >lower_lt //
-| #i #l #m #Hli #lv >(m2 … H1M) >(m2 … H1M) -H1M >lower_ge //
-| #p #l #m #lv >(m3 … H1M) >(m3 … H1M) -H1M //
-| #a * #V1 #V2 #T1 #T2 #l #m #_ #_ #IHV12 #IHT12 #lv
- [ >(m4 … H1M) >(m4 … H1M) /3 width=1 by raise_lower_lt, sound_ti_eq_l/
- | @(mx … H2M) /3 width=1 by raise_lower_lt, sound_ti_eq_l/
- ]
-| * #V1 #V2 #T1 #T2 #l #m #_ #_ #IHV12 #IHT12 #lv
- [ >(m6 … H1M) >(m6 … H1M) /3 width=1 by eq_f2/
- | >(m7 … H1M) >(m7 … H1M) /2 width=1 by/
- ]
-]
-qed-.