]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/static/lfeq.ma
- dependences on ceq and ceq_ext fixed
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lfeq.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/notation/relations/lazyeqsn_3.ma".
+include "basic_2/static/lfxs.ma".
+
+(* SYNTACTIC EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES *********)
+
+(* Basic_2A1: was: lleq *)
+definition lfeq: relation3 term lenv lenv ≝
+                 lfxs ceq.
+
+interpretation
+   "syntactic equivalence on referred entries (local environment)"
+   'LazyEqSn T L1 L2 = (lfeq T L1 L2).
+
+(***************************************************)
+
+axiom lfeq_lfxs_trans: ∀R,L1,L,T. L1 ≡[T] L →
+                       ∀L2. L ⪤*[R, T] L2 → L1 ⪤*[R, T] L2.
+
+(* Basic_2A1: removed theorems 10:
+              lleq_ind lleq_fwd_lref
+              lleq_fwd_drop_sn lleq_fwd_drop_dx
+              lleq_skip lleq_lref lleq_free
+              lleq_Y lleq_ge_up lleq_ge
+               
+*)