more additions and corrections for the article

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / rdsx_rdsx.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.ma
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--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_rdsx.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 "basic_2/rt_transition/lpx_rdeq.ma".
-include "basic_2/rt_computation/rdsx.ma".
-
-(* STRONGLY NORMALIZING REFERRED LOCAL ENV.S FOR UNBOUND RT-TRANSITION ******)
-
-(* Advanced properties ******************************************************)
-
-(* Basic_2A1: uses: lsx_lleq_trans *)
-lemma rdsx_rdeq_trans (h) (G):
-                      ∀L1,T. G ⊢ ⬈*[h,T] 𝐒⦃L1⦄ →
-                      ∀L2. L1 ≛[T] L2 → G ⊢ ⬈*[h,T] 𝐒⦃L2⦄.
-#h #G #L1 #T #H @(rdsx_ind … H) -L1
-#L1 #_ #IHL1 #L2 #HL12 @rdsx_intro
-#L #HL2 #HnL2 elim (rdeq_lpx_trans … HL2 … HL12) -HL2
-/4 width=5 by rdeq_repl/
-qed-.
-
-(* Basic_2A1: uses: lsx_lpx_trans *)
-lemma rdsx_lpx_trans (h) (G):
-                     ∀L1,T. G ⊢ ⬈*[h,T] 𝐒⦃L1⦄ →
-                     ∀L2. ⦃G,L1⦄ ⊢ ⬈[h] L2 → G ⊢ ⬈*[h,T] 𝐒⦃L2⦄.
-#h #G #L1 #T #H @(rdsx_ind … H) -L1 #L1 #HL1 #IHL1 #L2 #HL12
-elim (rdeq_dec L1 L2 T) /3 width=4 by rdsx_rdeq_trans/
-qed-.