helm/software/matita/contribs/ng_assembly2/common/comp.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 (* ********************************************************************** *)
  16 (*                          Progetto FreeScale                            *)
  17 (*                                                                        *)
  18 (*   Sviluppato da: Ing. Cosimo Oliboni, oliboni@cs.unibo.it              *)
  19 (*   Sviluppo: 2008-2010                                                  *)
  20 (*                                                                        *)
  21 (* ********************************************************************** *)
  22
  23 include "common/hints_declaration.ma".
  24 include "num/bool.ma".
  25
  26 alias symbol "hint_decl" (instance 1) = "hint_decl_Type1".
  27
  28 nrecord comparable : Type[1] ≝
  29  {
  30  carr          :> Type[0];
  31  zeroc         : carr;
  32  forallc       : (carr → bool) → bool;
  33  eqc           : carr → carr → bool;
  34  eqc_to_eq     : ∀x,y.(eqc x y = true) → (x = y);
  35  eq_to_eqc     : ∀x,y.(x = y) → (eqc x y = true);
  36  neqc_to_neq   : ∀x,y.(eqc x y = false) → (x ≠ y);
  37  neq_to_neqc   : ∀x,y.(x ≠ y) → (eqc x y = false);
  38  decidable_c   : ∀x,y:carr.decidable (x = y);
  39  symmetric_eqc : symmetricT carr bool eqc
  40  }.