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[helm.git] / matita / matita / contribs / lambdadelta / static_2 / static / feqx_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/reqx_fqup.ma".
+include "static_2/static/feqx.ma".
+
+(* SORT-IRRELEVANT EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *************)
+
+(* Properties with sort-irrelevant equivalence for terms ********************)
+
+lemma teqx_feqx: ∀T1,T2. T1 ≛ T2 →
+                 ∀G,L. ⦃G,L,T1⦄ ≛ ⦃G,L,T2⦄.
+/2 width=1 by feqx_intro_sn/ qed.
+
+(* Advanced properties ******************************************************)
+
+lemma feqx_refl: tri_reflexive … feqx.
+/2 width=1 by feqx_intro_sn/ qed.