partial commit in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfsx_lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfsx_lpx.ma
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--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lfsx_lpx.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/static/lfdeq_lfeq.ma".
-include "basic_2/rt_transition/lfpx_lpx.ma".
-include "basic_2/rt_computation/lfsx_lfsx.ma".
-
-(* STRONGLY NORMALIZING LOCAL ENV.S FOR UNBOUND PARALLEL RT-TRANSITION ******)
-
-(* Properties with unbound rt-transition ************************************)
-
-lemma lfsx_intro_lpx: ∀h,o,G,L1,T.
-                      (∀L2. ⦃G, L1⦄ ⊢ ⬈[h] L2 → (L1 ≛[h, o, T] L2 → ⊥) → G ⊢ ⬈*[h, o, T] 𝐒⦃L2⦄) →
-                      G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄.
-#h #o #G #L1 #T #HT
-@lfsx_intro #L2 #H
-elim (lfpx_inv_lpx_lfeq … H) -H
-/6 width=3 by lfsx_lfdeq_trans, lfdeq_trans, lfeq_lfdeq/
-qed-.
-
-lemma lfsx_lpx_trans: ∀h,o,G,L1,T. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ →
-                      ∀L2. ⦃G, L1⦄ ⊢ ⬈[h] L2 → G ⊢ ⬈*[h, o, T] 𝐒⦃L2⦄.
-/3 width=3 by lfsx_lfpx_trans, lfpx_lpx/ qed-.
-
-(* Eliminators with unbound rt-transition ***********************************)
-
-lemma lfsx_ind_lpx: ∀h,o,G,T. ∀R:predicate lenv.
-                    (∀L1. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ →
-                          (∀L2. ⦃G, L1⦄ ⊢ ⬈[h] L2 → (L1 ≛[h, o, T] L2 → ⊥) → R L2) →
-                          R L1
-                    ) →
-                    ∀L. G ⊢ ⬈*[h, o, T] 𝐒⦃L⦄  → R L.
-/5 width=6 by lfsx_ind, lfpx_lpx/ qed-.