update for the article

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / reqx_fqup.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/reqx_fqup.ma b/matita/matita/contribs/lambdadelta/static_2/static/reqx_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/rex_fqup.ma".
+include "static_2/static/reqx.ma".
+
+(* SORT-IRRELEVANT EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ***)
+
+(* Advanced properties ******************************************************)
+
+lemma reqx_refl: ∀T. reflexive … (reqx T).
+/2 width=1 by rex_refl/ qed.
+
+lemma reqx_pair_refl: ∀V1,V2. V1 ≛ V2 →
+                      ∀I,L. ∀T:term. L.ⓑ{I}V1 ≛[T] L.ⓑ{I}V2.
+/2 width=1 by rex_pair_refl/ qed.
+
+(* Advanced inversion lemmas ************************************************)
+
+lemma reqx_inv_bind_void: ∀p,I,L1,L2,V,T. L1 ≛[ⓑ{p,I}V.T] L2 →
+                          L1 ≛[V] L2 ∧ L1.ⓧ ≛[T] L2.ⓧ.
+/2 width=3 by rex_inv_bind_void/ qed-.
+
+(* Advanced forward lemmas **************************************************)
+
+lemma reqx_fwd_bind_dx_void: ∀p,I,L1,L2,V,T.
+                             L1 ≛[ⓑ{p,I}V.T] L2 → L1.ⓧ ≛[T] L2.ⓧ.
+/2 width=4 by rex_fwd_bind_dx_void/ qed-.