update in static_2 and app_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / syntax / shift.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/syntax/shift.ma b/matita/matita/contribs/lambdadelta/static_2/syntax/shift.ma
deleted file mode 100644 (file)
index 0c40a31..0000000
--- a/matita/matita/contribs/lambdadelta/static_2/syntax/shift.ma
+++ /dev/null
@@ -1,38 +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/lenv.ma".
-
-(* SHIFT FOR RESTRICTED CLOSURES ********************************************)
-
-rec definition shift L T on L ≝ match L with
-[ LAtom     ⇒ T
-| LBind L I ⇒ match I with
-  [ BUnit _   ⇒ shift L (-ⓛ⋆0.T)
-  | BPair I V ⇒ shift L (-ⓑ{I}V.T)
-  ]
-].
-
-interpretation "shift (restricted closure)" 'plus L T = (shift L T).
-
-(* Basic properties *********************************************************)
-
-lemma shift_atom: ∀T. ⋆ + T = T.
-// qed.
-
-lemma shift_unit: ∀I,L,T. L.ⓤ{I}+T = L+(-ⓛ⋆0.T).
-// qed.
-
-lemma shift_pair: ∀I,L,V,T. (L.ⓑ{I}V)+T = L+(-ⓑ{I}V.T).
-// qed.