update in static_2 and app_2

[helm.git] / matita / matita / contribs / lambdadelta / apps_2 / models / vlifts_shift.ma

diff --git a/matita/matita/contribs/lambdadelta/apps_2/models/vlifts_shift.ma b/matita/matita/contribs/lambdadelta/apps_2/models/vlifts_shift.ma
deleted file mode 100644 (file)
index a324d3c..0000000
--- a/matita/matita/contribs/lambdadelta/apps_2/models/vlifts_shift.ma
+++ /dev/null
@@ -1,70 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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 "static_2/syntax/shift.ma".
-include "apps_2/models/vlifts.ma".
-
-(* MULTIPLE LIFT FOR MODEL EVALUATIONS **************************************)
-
-(* Properties with shift for restricted closures ****************************)
-
-lemma vlifts_shift (M): is_model M → is_extensional M →
-                        ∀L,T1,T2,gv,lv.
-                        (∀v. L ⨁[gv] lv ≘ v → ⟦T1⟧[gv, v] ≗ ⟦T2⟧[gv, v]) → 
-                        ⟦L+T1⟧[gv, lv] ≗{M} ⟦L+T2⟧[gv, lv].
-#M #H1M #H2M #L elim L -L [| #K * [| * ]]
-[ #T1 #T2 #gv #lv #H12
-  >shift_atom >shift_atom
-  /4 width=1 by vlifts_atom, veq_refl/
-| #I #IH #T1 #T2 #gv #lv #H12
-  >shift_unit >shift_unit
-  /5 width=1 by vlifts_unit, mx, mr/
-| #V #IH #T1 #T2 #gv #lv #H12
-  >shift_pair >shift_pair
-  @IH -IH #v #Hv
-  @(mq … H1M) [3:|*: /3 width=2 by seq_sym, md/ ]
-  /4 width=1 by vlifts_abbr, mr/
-| #W #IH #T1 #T2 #gv #lv #H12
-  >shift_pair >shift_pair
-  /5 width=1 by vlifts_abst, mx, mr/
-]
-qed.
-
-(* Inversion lemmas with shift for restricted closures **********************)
-
-lemma vlifts_inv_shift (M): is_model M →
-                            ∀L,T1,T2,gv,lv. ⟦L+T1⟧[gv, lv] ≗{M} ⟦L+T2⟧[gv, lv] →
-                            ∀v. L ⨁[gv] lv ≘ v → ⟦T1⟧[gv, v] ≗ ⟦T2⟧[gv, v].
-#M #HM #L elim L -L [| #K * [| * ]]
-[ #T1 #T2 #gv #lv
-  >shift_atom >shift_atom #H12 #v #H
-  lapply (vlifts_inv_atom … H) -H // #Hv
-  /4 width=7 by ti_comp, veq_refl, mq/
-| #I #IH #T1 #T2 #gv #lv
-  >shift_unit >shift_unit #H12 #y #H
-  elim (vlifts_inv_unit … H) -H // #v #d #Hlv #Hv
-  lapply (IH … H12 … Hlv) -IH -H12 -Hlv #H12
-  /4 width=7 by ti_comp, ti_fwd_mx_dx, veq_refl, mq/
-| #V #IH #T1 #T2 #gv #lv
-  >shift_pair >shift_pair #H12 #y #H
-  elim (vlifts_inv_abbr … H) -H // #v #Hlv #Hv
-  lapply (IH … H12 … Hlv) -IH -H12 -Hlv #H12
-  /4 width=7 by ti_comp, veq_refl, md, mq/
-| #W #IH #T1 #T2 #gv #lv
-  >shift_pair >shift_pair #H12 #y #H
-  elim (vlifts_inv_abst … H) -H // #v #d #Hlv #Hv
-  lapply (IH … H12 … Hlv) -IH -H12 -Hlv #H12
-  /4 width=7 by ti_comp, ti_fwd_mx_dx, veq_refl, mq/
-]
-qed-.