update in static_2 and app_2

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

diff --git a/matita/matita/contribs/lambdadelta/apps_2/models/vdrop.ma b/matita/matita/contribs/lambdadelta/apps_2/models/vdrop.ma
deleted file mode 100644 (file)
index f0d72d4..0000000
--- a/matita/matita/contribs/lambdadelta/apps_2/models/vdrop.ma
+++ /dev/null
@@ -1,49 +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 "ground_2/lib/functions.ma".
-include "ground_2/lib/exteq.ma".
-include "ground_2/notation/functions/downspoon_2.ma".
-include "apps_2/notation/models/downspoon_3.ma".
-include "apps_2/models/model.ma".
-
-(* EVALUATION DROP **********************************************************)
-
-definition vdrop (M): nat → evaluation M → evaluation M ≝
-                      λj,lv,i. tri … i j (lv i) (lv (↑i)) (lv (↑i)).
-
-interpretation "generic drop (model evaluation)"
-   'DownSpoon M i lv = (vdrop M i lv).
-
-interpretation "drop (model evaluation)"
-   'DownSpoon M lv = (vdrop M O lv).
-
-(* Basic properties *********************************************************)
-
-lemma vdrop_lt (M): ∀lv,j,i. i < j → (⫰{M}[j] lv) i = lv i.
-/2 width=1 by tri_lt/ qed-.
-
-lemma vdrop_ge (M): ∀lv,j,i. j ≤ i → (⫰{M}[j] lv) i = lv (↑i).
-#M #lv #j #i #Hji elim (le_to_or_lt_eq … Hji) -Hji #Hji destruct
-[ /2 width=1 by tri_gt/
-| /2 width=1 by tri_eq/
-]
-qed-.
-
-lemma vdrop_ext (M): ∀i. compatible_2 … (vdrop M i) (exteq …) (exteq …).
-#M #i #lv1 #lv2 #Hlv12 #j elim (lt_or_ge j i) #Hji
-[ >vdrop_lt // >vdrop_lt //
-| >vdrop_ge // >vdrop_ge //
-]
-qed.