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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / cpr / ltpr_ltpss_sn.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/ltpr_ltpss_sn.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/ltpr_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/reducibility/ltpr_ltpss_dx.ma".
-
-(* CONTEXT-FREE PARALLEL REDUCTION ON LOCAL ENVIRONMENTS ********************)
-
-(* Properties on sn parallel unfold on local environments *******************)
-
-(* Note: this can also be proved like ltpr_ltpss_dx_conf *)
-lemma ltpr_ltpss_sn_conf: ∀L1,K1,d,e. L1 ⊢ ▶* [d, e] K1 → ∀L2. L1 ➡ L2 →
-                          ∃∃K2. L2 ⊢ ▶* [d, e] K2 & K1 ➡ K2.
-#L1 #K1 #d #e #H
-lapply (ltpss_sn_ltpssa … H) -H #H
-@(ltpssa_ind … H) -K1 /2 width=3/
-#K #K1 #_ #HK1 #IHK #L2 #HL12
-elim (IHK … HL12) -L1 #K2 #HLK2 #HK2
-elim (ltpr_ltpss_dx_conf … HK1 … HK2) -K /3 width=3/
-qed.