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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx_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 "basic_2/rt_transition/cpx_rdeq.ma".
-include "basic_2/rt_computation/csx_csx.ma".
-
-(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
-
-(* Properties with sort-irrelevant equivalence for local environments *******)
-
-(* Basic_2A1: uses: csx_lleq_conf *)
-lemma csx_rdeq_conf: ∀h,G,L1,T. ⦃G,L1⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ →
-                     ∀L2. L1 ≛[T] L2 → ⦃G,L2⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
-#h #G #L1 #T #H
-@(csx_ind … H) -T #T1 #_ #IH #L2 #HL12
-@csx_intro #T2 #HT12 #HnT12
-elim (rdeq_cpx_trans … HL12 … HT12) -HT12
-/5 width=5 by cpx_rdeq_conf_sn, csx_tdeq_trans, tdeq_trans/
-qed-.
-
-(* Basic_2A1: uses: csx_lleq_conf *)
-lemma csx_rdeq_trans: ∀h,L1,L2,T. L1 ≛[T] L2 →
-                      ∀G. ⦃G,L2⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ → ⦃G,L1⦄ ⊢ ⬈*[h] 𝐒⦃T⦄.
-/3 width=3 by csx_rdeq_conf, rdeq_sym/ qed-.