update in static_2

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

diff --git a/matita/matita/contribs/lambdadelta/static_2/static/reqg_fqup.ma b/matita/matita/contribs/lambdadelta/static_2/static/reqg_fqup.ma
new file mode 100644 (file)
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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/reqg.ma".
+
+(* GEBERIC EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ***********)
+
+(* Advanced properties ******************************************************)
+
+lemma reqg_refl (S):
+      reflexive … S →
+      c_reflexive … (reqg S).
+/3 width=1 by rex_refl, teqg_refl/ qed.
+
+lemma reqg_pair_refl (S):
+      reflexive … S →
+      ∀V1,V2. V1 ≛[S] V2 →
+      ∀I,L. ∀T:term. L.ⓑ[I]V1 ≛[S,T] L.ⓑ[I]V2.
+/3 width=1 by rex_pair_refl, teqg_refl/ qed.
+
+(* Advanced inversion lemmas ************************************************)
+
+lemma reqg_inv_bind_void (S):
+      ∀p,I,L1,L2,V,T. L1 ≛[S,ⓑ[p,I]V.T] L2 →
+      ∧∧ L1 ≛[S,V] L2 & L1.ⓧ ≛[S,T] L2.ⓧ.
+/2 width=3 by rex_inv_bind_void/ qed-.
+
+(* Advanced forward lemmas **************************************************)
+
+lemma reqg_fwd_bind_dx_void (S):
+      ∀p,I,L1,L2,V,T.
+      L1 ≛[S,ⓑ[p,I]V.T] L2 → L1.ⓧ ≛[S,T] L2.ⓧ.
+/2 width=4 by rex_fwd_bind_dx_void/ qed-.