more additions and corrections for the article

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_fqup.ma
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--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rdsx_fqup.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_fqup.ma".
-include "basic_2/rt_computation/rdsx.ma".
-
-(* STRONGLY NORMALIZING REFERRED LOCAL ENV.S FOR UNBOUND RT-TRANSITION ******)
-
-(* Advanced properties ******************************************************)
-
-(* Basic_2A1: uses: lsx_atom *)
-lemma lfsx_atom (h) (G) (T): G ⊢ ⬈*[h,T] 𝐒⦃⋆⦄.
-#h #G #T
-@rdsx_intro #Y #H #HnT
-lapply (lpx_inv_atom_sn … H) -H #H destruct
-elim HnT -HnT //
-qed.
-
-(* Advanced forward lemmas **************************************************)
-
-(* Basic_2A1: uses: lsx_fwd_bind_dx *)
-(* Note: the exclusion binder (ⓧ) makes this more elegant and much simpler *)
-(* Note: the old proof without the exclusion binder requires lreq *)
-lemma rdsx_fwd_bind_dx (h) (G):
-                       ∀p,I,L,V,T. G ⊢ ⬈*[h,ⓑ{p,I}V.T] 𝐒⦃L⦄ →
-                       G ⊢ ⬈*[h,T] 𝐒⦃L.ⓧ⦄.
-#h #G #p #I #L #V #T #H
-@(rdsx_ind … H) -L #L1 #_ #IH
-@rdsx_intro #Y #H #HT
-elim (lpx_inv_unit_sn … H) -H #L2 #HL12 #H destruct
-/4 width=4 by rdeq_fwd_bind_dx_void/
-qed-.
-
-(* Advanced inversion lemmas ************************************************)
-
-(* Basic_2A1: uses: lsx_inv_bind *)
-lemma rdsx_inv_bind (h) (G):
-      ∀p,I,L,V,T. G ⊢ ⬈*[h,ⓑ{p,I}V.T] 𝐒⦃L⦄ →
-      ∧∧ G ⊢ ⬈*[h,V] 𝐒⦃L⦄ & G ⊢ ⬈*[h,T] 𝐒⦃L.ⓧ⦄.
-/3 width=4 by rdsx_fwd_pair_sn, rdsx_fwd_bind_dx, conj/ qed-.