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diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/aaa_ltpss_sn.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/aaa_ltpss_sn.etc
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/unfold/ltpss_sn_alt.ma".
-include "basic_2/static/aaa_ltpss_dx.ma".
-
-(* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************)
-
-(* Properties about sn parallel unfold **************************************)
-
-lemma aaa_ltpss_sn_conf: ∀L1,T,A. L1 ⊢ T ⁝ A →
-                         ∀L2,d,e. L1 ⊢ ▶* [d, e] L2 → L2 ⊢ T ⁝ A.
-#L1 #T #A #HT #L2 #d #e #HL12
-lapply (ltpss_sn_ltpssa … HL12) -HL12 #HL12
-@(TC_Conf3 … (λL,A. L ⊢ T ⁝ A) … HT ? HL12) /2 width=5/
-qed.
-
-lemma aaa_ltpss_sn_tpss_conf: ∀L1,T1,A. L1 ⊢ T1 ⁝ A →
-                              ∀L2,d,e. L1 ⊢ ▶* [d, e] L2 →
-                              ∀T2. L2 ⊢ T1 ▶* [d, e] T2 → L2 ⊢ T2 ⁝ A.
-/3 width=5/ qed.
-
-lemma aaa_ltpss_sn_tps_conf: ∀L1,T1,A. L1 ⊢ T1 ⁝ A →
-                             ∀L2,d,e. L1 ⊢ ▶* [d, e] L2 →
-                             ∀T2. L2 ⊢ T1 ▶ [d, e] T2 → L2 ⊢ T2 ⁝ A.
-/3 width=5/ qed.