matita/matita/contribs/lambdadelta/basic_2/relocation/lex.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "basic_2/notation/relations/relation_3.ma".
  16 include "basic_2/relocation/lexs.ma".
  17
  18 (* GENERIC EXTENSION OF A CONTEXT-SENSITIVE REALTION ON TERMS ***************)
  19
  20 (* Basic_2A1: includes: lpx_sn_atom lpx_sn_pair *)
  21 definition lex: (lenv → relation bind) → relation lenv ≝
  22                 λR,L1,L2. ∃∃f. 𝐈⦃f⦄ & L1 ⪤*[cfull, R, f] L2.
  23
  24 interpretation "generic extension (local environment)"
  25    'Relation R L1 L2 = (lex R L1 L2).