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diff --git a/matita/matita/contribs/lambdadelta/apps_2/models/veq_vdrop.ma b/matita/matita/contribs/lambdadelta/apps_2/models/veq_vdrop.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/vdrop_vlift.ma".
-include "apps_2/models/veq.ma".
-
-(* EVALUATION EQUIVALENCE  **************************************************)
-
-(* Properties with evaluation drop ******************************************)
-
-lemma vdrop_comp (M): ∀i. compatible_2 … (vdrop M i) (veq M) (veq M).
-#M #i #lv1 #lv2 #Hlv12 #j elim (lt_or_ge j i) #Hji
-[ >vdrop_lt // >vdrop_lt //
-| >vdrop_ge // >vdrop_ge //
-]
-qed.
-
-(* Advanced inversion lemmas with evaluation evaluation lift ****************)
-
-lemma veq_inv_vlift_sn (M): ∀lv1,y2,d1,i. ⫯[i←d1]lv1 ≗{M} y2 →
-                            ∃∃lv2,d2. lv1 ≗ lv2 & d1 ≗ d2 & ⫯[i←d2]lv2 ≐ y2.
-#M #lv1 #y2 #d1 #i #H
-@(ex3_2_intro)
-[5: @exteq_sym @vlift_vdrop_eq |1,2: skip
-| #j elim (lt_or_ge j i) #Hji
-  [ lapply (H j) -H >vlift_lt // >vdrop_lt //
-  | lapply (H (↑j)) -H >vlift_gt /2 width=1 by monotonic_le_plus_l/ >vdrop_ge //
-  ]
-| lapply (H i) >vlift_eq //
-]
-qed-.