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diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/sstas_ltpss_dx.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/sstas_ltpss_dx.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/static/ssta_ltpss_dx.ma".
-include "basic_2/unwind/sstas.ma".
-
-(* ITERATED STRATIFIED STATIC TYPE ASSIGNMENT FOR TERMS *********************)
-
-(* Properties about dx parallel unfold **************************************)
-
-lemma sstas_ltpss_dx_tpss_conf: ∀h,g,L1,T1,U1. ⦃h, L1⦄ ⊢ T1 •*[g] U1 →
-                                ∀L2,d,e. L1 ▶* [d, e] L2 →
-                                ∀T2. L2 ⊢ T1 ▶* [d, e] T2 →
-                                ∃∃U2. ⦃h, L2⦄ ⊢ T2 •*[g] U2 &
-                                      L2 ⊢ U1 ▶* [d, e] U2.
-#h #g #L1 #T1 #U1 #H @(sstas_ind_dx … H) -T1 /2 width=3/
-#T0 #U0 #l0 #HTU0 #_ #IHU01 #L2 #d #e #HL12 #T #HT0
-elim (ssta_ltpss_dx_tpss_conf … HTU0 … HL12 … HT0) -HTU0 -HT0 #U #HTU #HU0
-elim (IHU01 … HL12 … HU0) -IHU01 -HL12 -U0 /3 width=4/
-qed.
-
-lemma sstas_ltpss_dx_tps_conf: ∀h,g,L1,T1,U1. ⦃h, L1⦄ ⊢ T1 •*[g] U1 →
-                               ∀L2,d,e. L1 ▶* [d, e] L2 →
-                               ∀T2. L2 ⊢ T1 ▶ [d, e] T2 →
-                               ∃∃U2. ⦃h, L2⦄ ⊢ T2 •*[g] U2 & L2 ⊢ U1 ▶* [d, e] U2.
-/3 width=7 by step, sstas_ltpss_dx_tpss_conf/ qed. (**) (* auto fails without trace *)
-
-lemma sstas_ltpss_dx_conf: ∀h,g,L1,T,U1. ⦃h, L1⦄ ⊢ T •*[g] U1 →
-                           ∀L2,d,e. L1 ▶* [d, e] L2 →
-                           ∃∃U2. ⦃h, L2⦄ ⊢ T •*[g] U2 & L2 ⊢ U1 ▶* [d, e] U2.
-/2 width=5/ qed.
-
-lemma sstas_tpss_conf: ∀h,g,L,T1,U1. ⦃h, L⦄ ⊢ T1 •*[g] U1 →
-                       ∀T2,d,e. L ⊢ T1 ▶* [d, e] T2 →
-                       ∃∃U2. ⦃h, L⦄ ⊢ T2 •*[g] U2 & L ⊢ U1 ▶* [d, e] U2.
-/2 width=5/ qed.
-
-lemma sstas_tps_conf: ∀h,g,L,T1,U1. ⦃h, L⦄ ⊢ T1 •*[g] U1 →
-                      ∀T2,d,e. L ⊢ T1 ▶ [d, e] T2 →
-                      ∃∃U2. ⦃h, L⦄ ⊢ T2 •*[g] U2 & L ⊢ U1 ▶* [d, e] U2.
-/2 width=5/ qed.