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diff --git a/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_basic_after.ma b/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_basic_after.ma
deleted file mode 100644 (file)
index b685d17..0000000
+++ /dev/null
@@ -1,39 +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/relocation/rtmap_after.ma".
-include "ground_2/relocation/rtmap_basic.ma".
-
-(* RELOCATION MAP ***********************************************************)
-
-(* Properties with composition **********************************************)
-
-lemma after_basic_rc (m2,m1,n2,n1):
-                     m1 ≤ m2 → m2 ≤ m1+n1 → 𝐁❨m2,n2❩ ⊚ 𝐁❨m1,n1❩ ≘ 𝐁❨m1,n2+n1❩.
-#m2 elim m2 -m2
-[ #m1 #n2 #n1 #Hm21 #_
-  <(le_n_O_to_eq … Hm21) -m1 //
-| #m2 #IH *
-  [ #n2 #n1 #_ < plus_O_n #H
-    elim (le_inv_S1 … H) -H #x #Hx #H destruct
-    <plus_n_Sm
-    @after_push [4:|*: // ]
-    @(IH 0 … Hx) -IH -n2 -x //
-  | #m1 #n2 #n1 #H1 #H2
-    lapply (le_S_S_to_le … H1) -H1 #H1
-    lapply (le_S_S_to_le … H2) -H2 #H2
-    /3 width=7 by after_refl/
-  ]
-]
-qed.