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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx_reqx.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.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_reqx.ma".
-include "basic_2/rt_computation/csx_csx.ma".
-
-(* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
-
-(* Properties with sort-irrelevant equivalence for local environments *******)
-
-(* Basic_2A1: uses: csx_lleq_conf *)
-lemma csx_reqx_conf (G) (L1):
-      ∀T. ❪G,L1❫ ⊢ ⬈*𝐒 T →
-      ∀L2. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒 T.
-#G #L1 #T #H
-@(csx_ind … H) -T #T1 #_ #IH #L2 #HL12
-@csx_intro #T2 #HT12 #HnT12
-lapply (reqx_cpx_trans … HL12 … HT12) -HT12
-/3 width=4 by cpx_reqx_conf_sn/
-qed-.
-
-(* Basic_2A1: uses: csx_lleq_trans *)
-lemma csx_reqx_trans (G) (L2):
-      ∀L1,T. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒 T → ❪G,L1❫ ⊢ ⬈*𝐒 T.
-/3 width=3 by csx_reqx_conf, reqx_sym/ qed-.