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diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma
deleted file mode 100644
index 56f7b178a..000000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma
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@@ -1,54 +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 "delayed_updating/substitution/lift_prototerm_id.ma".
-include "delayed_updating/substitution/lift_path_uni.ma".
-include "delayed_updating/syntax/prototerm_constructors_eq.ma".
-include "ground/relocation/nap.ma".
-
-(* LIFT FOR PROTOTERM *******************************************************)
-
-lemma lift_term_iref_pap_sn (f) (t:prototerm) (k:pnat):
-      (𝛕f＠⧣❨k❩.🠡[⇂*[k]f]t) ⊆ 🠡[f](𝛕k.t).
-#f #t #k #p * #q * #r #Hr #H1 #H2 destruct
-@(ex2_intro … (𝗱k◗𝗺◗r))
-/2 width=1 by in_comp_iref/
-qed-.
-
-lemma lift_term_iref_pap_dx (f) (t) (k:pnat):
-      🠡[f](𝛕k.t) ⊆ 𝛕f＠⧣❨k❩.🠡[⇂*[k]f]t.
-#f #t #k #p * #q #Hq #H0 destruct
-elim (in_comp_inv_iref … Hq) -Hq #p #H0 #Hp destruct
-<lift_path_d_sn <lift_path_m_sn
-/3 width=1 by in_comp_iref, in_comp_lift_path_term/
-qed-.
-
-lemma lift_term_iref_pap (f) (t) (k:pnat):
-      (𝛕f＠⧣❨k❩.🠡[⇂*[k]f]t) ⇔ 🠡[f](𝛕k.t).
-/3 width=1 by conj, lift_term_iref_pap_sn, lift_term_iref_pap_dx/
-qed.
-
-lemma lift_term_iref_nap (f) (t) (n):
-      (𝛕↑(f＠§❨n❩).🠡[⇂*[↑n]f]t) ⇔ 🠡[f](𝛕↑n.t).
-#f #t #n
->tr_pap_succ_nap //
-qed.
-
-lemma lift_term_iref_uni (t) (n) (k):
-      (𝛕(k+n).t) ⇔ 🠡[𝐮❨n❩](𝛕k.t).
-#t #n #k
-@(subset_eq_trans … (lift_term_iref_pap …))
-<tr_uni_pap >nsucc_pnpred <tr_tls_succ_uni
-/3 width=1 by iref_eq_repl, lift_term_id/
-qed.