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diff --git a/matita/matita/contribs/lambda_delta/basic_2/equivalence/lsubse_ldrop.ma b/matita/matita/contribs/lambda_delta/basic_2/equivalence/lsubse_ldrop.ma
deleted file mode 100644
index 729f4b61f..000000000
--- a/matita/matita/contribs/lambda_delta/basic_2/equivalence/lsubse_ldrop.ma
+++ /dev/null
@@ -1,65 +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/equivalence/lsubse.ma".
-
-(* LOCAL ENVIRONMENT REFINEMENT FOR CONTEXT-SENSITIVE PARALLEL EQUIVALENCE **)
-
-(* Properties concerning basic local environment slicing ********************)
-
-(* Note: the constant 0 cannot be generalized *)
-lemma lsubse_ldrop_O1_conf: ∀h,g,L1,L2. h ⊢ L1 ⊢•⊑[g] L2 →
-                            ∀K1,e. ⇩[0, e] L1 ≡ K1 →
-                            ∃∃K2. h ⊢ K1 ⊢•⊑[g] K2 & ⇩[0, e] L2 ≡ K2.
-#h #g #L1 #L2 #H elim H -L1 -L2
-[ /2 width=3/
-| #I #L1 #L2 #V #_ #IHL12 #K1 #e #H
-  elim (ldrop_inv_O1 … H) -H * #He #HLK1
-  [ destruct
-    elim (IHL12 L1 0 ?) -IHL12 // #X #HL12 #H
-    <(ldrop_inv_refl … H) in HL12; -H /3 width=3/
-  | elim (IHL12 … HLK1) -L1 /3 width=3/
-  ]
-| #L1 #L2 #V1 #V2 #W1 #W2 #l #HW12 #HVW1 #HWV2 #_ #IHL12 #K1 #e #H
-  elim (ldrop_inv_O1 … H) -H * #He #HLK1
-  [ destruct
-    elim (IHL12 L1 0 ?) -IHL12 // #X #HL12 #H
-    <(ldrop_inv_refl … H) in HL12; -H /3 width=6/
-  | elim (IHL12 … HLK1) -L1 /3 width=3/
-  ]
-]
-qed-.
-
-(* Note: the constant 0 cannot be generalized *)
-lemma lsubse_ldrop_O1_trans: ∀h,g,L1,L2. h ⊢ L1 ⊢•⊑[g] L2 →
-                             ∀K2,e. ⇩[0, e] L2 ≡ K2 →
-                             ∃∃K1. h ⊢ K1 ⊢•⊑[g] K2 & ⇩[0, e] L1 ≡ K1.
-#h #g #L1 #L2 #H elim H -L1 -L2
-[ /2 width=3/
-| #I #L1 #L2 #V #_ #IHL12 #K2 #e #H
-  elim (ldrop_inv_O1 … H) -H * #He #HLK2
-  [ destruct
-    elim (IHL12 L2 0 ?) -IHL12 // #X #HL12 #H
-    <(ldrop_inv_refl … H) in HL12; -H /3 width=3/
-  | elim (IHL12 … HLK2) -L2 /3 width=3/
-  ]
-| #L1 #L2 #V1 #V2 #W1 #W2 #l #HW12 #HVW1 #HWV2 #_ #IHL12 #K2 #e #H
-  elim (ldrop_inv_O1 … H) -H * #He #HLK2
-  [ destruct
-    elim (IHL12 L2 0 ?) -IHL12 // #X #HL12 #H
-    <(ldrop_inv_refl … H) in HL12; -H /3 width=6/
-  | elim (IHL12 … HLK2) -L2 /3 width=3/
-  ]
-]
-qed-.