update for the article

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / fpb_rdeq.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_rdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_rdeq.ma
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--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_rdeq.ma
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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 "static_2/static/rdeq_fqus.ma".
-include "basic_2/rt_transition/cpx_rdeq.ma".
-include "basic_2/rt_transition/lpx_rdeq.ma".
-include "basic_2/rt_transition/fpb.ma".
-
-(* PROPER PARALLEL RST-TRANSITION FOR CLOSURES ******************************)
-
-(* Properties with sort-irrelevant equivalence for local environments *******)
-
-lemma tdeq_fpb_trans: ∀h,U2,U1. U2 ≛ U1 →
-                      ∀G1,G2,L1,L2,T1. ⦃G1,L1,U1⦄ ≻[h] ⦃G2,L2,T1⦄ → 
-                      ∃∃L,T2. ⦃G1,L1,U2⦄ ≻[h] ⦃G2,L,T2⦄ & T2 ≛ T1 & L ≛[T1] L2.
-#h #U2 #U1 #HU21 #G1 #G2 #L1 #L2 #T1 * -G2 -L2 -T1
-[ #G2 #L2 #T1 #H
-  elim (tdeq_fqu_trans … H … HU21) -H
-  /3 width=5 by fpb_fqu, ex3_2_intro/
-| #T1 #HUT1 #HnUT1
-  elim (tdeq_cpx_trans … HU21 … HUT1) -HUT1
-  /6 width=5 by fpb_cpx, tdeq_canc_sn, tdeq_trans, ex3_2_intro/
-| /6 width=5 by fpb_lpx, rpx_tdeq_div, tdeq_rdeq_conf, ex3_2_intro/
-]
-qed-.
-
-(* Basic_2A1: was just: lleq_fpb_trans *)
-lemma rdeq_fpb_trans: ∀h,F,K1,K2,T. K1 ≛[T] K2 →
-                      ∀G,L2,U. ⦃F,K2,T⦄ ≻[h] ⦃G,L2,U⦄ →
-                      ∃∃L1,U0. ⦃F,K1,T⦄ ≻[h] ⦃G,L1,U0⦄ & U0 ≛ U & L1 ≛[U] L2.
-#h #F #K1 #K2 #T #HT #G #L2 #U * -G -L2 -U
-[ #G #L2 #U #H2 elim (rdeq_fqu_trans … H2 … HT) -K2
-  /3 width=5 by fpb_fqu, ex3_2_intro/
-| #U #HTU #HnTU elim (rdeq_cpx_trans … HT … HTU) -HTU
-  /5 width=11 by fpb_cpx, cpx_rdeq_conf_sn, tdeq_trans, tdeq_rdeq_conf, ex3_2_intro/ (**) (* time: 36s on dev *)
-| #L2 #HKL2 #HnKL2 elim (rdeq_lpx_trans … HKL2 … HT) -HKL2
-  /6 width=5 by fpb_lpx, (* 2x *) rdeq_canc_sn, ex3_2_intro/
-]
-qed-.