]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/static/lfdeq_fqup.ma
renaming in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lfdeq_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 "basic_2/static/lfxs_fqup.ma".
-include "basic_2/static/lfdeq.ma".
-
-(* DEGREE-BASED EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ******)
-
-(* Advanced properties ******************************************************)
-
-lemma lfdeq_refl: ∀h,o,T. reflexive … (lfdeq h o T).
-/2 width=1 by lfxs_refl/ qed.
-
-lemma lfdeq_pair_refl: ∀h,o,V1,V2. V1 ≛[h, o] V2 →
-                       ∀I,L. ∀T:term. L.ⓑ{I}V1 ≛[h, o, T] L.ⓑ{I}V2.
-/2 width=1 by lfxs_pair_refl/ qed.
-
-(* Advanced inversion lemmas ************************************************)
-
-lemma lfdeq_inv_bind_void: ∀h,o,p,I,L1,L2,V,T. L1 ≛[h, o, ⓑ{p,I}V.T] L2 →
-                           L1 ≛[h, o, V] L2 ∧ L1.ⓧ ≛[h, o, T] L2.ⓧ.
-/2 width=3 by lfxs_inv_bind_void/ qed-.
-
-(* Advanced forward lemmas **************************************************)
-
-lemma lfdeq_fwd_bind_dx_void: ∀h,o,p,I,L1,L2,V,T.
-                              L1 ≛[h, o, ⓑ{p,I}V.T] L2 → L1.ⓧ ≛[h, o, T] L2.ⓧ.
-/2 width=4 by lfxs_fwd_bind_dx_void/ qed-.