update in ground_2 and basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / syntax / voids_length.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/syntax/voids_length.ma b/matita/matita/contribs/lambdadelta/basic_2/syntax/voids_length.ma
deleted file mode 100644 (file)
index c280cee..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/syntax/voids_length.ma
+++ /dev/null
@@ -1,46 +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 "basic_2/syntax/lenv_length.ma".
-include "basic_2/syntax/voids.ma".
-
-(* EXTENSION OF A LOCAL ENVIRONMENT WITH EXCLUSION BINDERS ******************)
-
-(* Properties with length for local environments ****************************)
-
-lemma length_void: ∀L,n. n+|L| = |ⓧ*[n]L|.
-#L #n elim n -n //
-#n #IH <voids_succ >length_bind <IH -IH //
-qed.
-
-lemma length_void_le: ∀L,n. |L| ≤ |ⓧ*[n]L|.
-// qed.
-
-(* Main forward properties with length for local environments ***************)
-
-theorem voids_inj_length: ∀n1,n2,L1,L2. ⓧ*[n1]L1 = ⓧ*[n2]L2 →
-                          |L1| = |L2| → n1 = n2 ∧ L1 = L2.
-#n1 elim n1 -n1
-[ * /2 width=1 by conj/ #n2 #L1 #L2 | #n1 #IH * [ | #n2 ] #L1 #L2 ]
-[ <voids_zero #H destruct
-  <length_void <commutative_plus #H
-  elim (plus_xSy_x_false … H)
-| <voids_zero #H destruct
-  <length_void <commutative_plus #H
-  elim (plus_xSy_x_false … (sym_eq … H))
-| <voids_succ <voids_succ #H #HL12
-  elim (destruct_lbind_lbind_aux … H) -H (**) (* destruct lemma needed *)
-  #H #_ elim (IH … H HL12) -IH -H -HL12 /2 width=1 by conj/
-]
-qed-.