matita/matita/contribs/lambdadelta/ground_2/relocation/mr2_append.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "ground_2/notation/functions/append_2.ma".
  16 include "ground_2/relocation/mr2.ma".
  17
  18 (* MULTIPLE RELOCATION WITH PAIRS *******************************************)
  19
  20 let rec mr2_append cs1 cs2 on cs1 ≝
  21   match cs1 with
  22   [ nil2          ⇒ cs2
  23   | cons2 l m cs1 ⇒ ❨l, m❩; mr2_append cs1 cs2
  24   ].
  25
  26 interpretation "append (multiple relocation with pairs)"
  27   'Append cs1 cs2 = (mr2_append cs1 cs2).
  28
  29 (* Basic properties *********************************************************)
  30
  31 lemma mr2_append_nil (cs2): cs2 = ◊ @@ cs2.
  32 // qed.
  33
  34 lemma mr2_append_cons (l) (m) (cs1) (cs2):
  35       ❨l, m❩; (cs1 @@ cs2) = (❨l, m❩; cs1) @@ cs2.
  36 // qed.