Stuff moved from old Matita.

[helm.git] / matita / matita / contribs / ng_assembly2 / common / comp.ma

diff --git a/matita/matita/contribs/ng_assembly2/common/comp.ma b/matita/matita/contribs/ng_assembly2/common/comp.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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(* ********************************************************************** *)
+(*                          Progetto FreeScale                            *)
+(*                                                                        *)
+(*   Sviluppato da: Ing. Cosimo Oliboni, oliboni@cs.unibo.it              *)
+(*   Sviluppo: 2008-2010                                                  *)
+(*                                                                        *)
+(* ********************************************************************** *)
+
+include "common/hints_declaration.ma".
+include "num/bool.ma".
+
+alias symbol "hint_decl" (instance 1) = "hint_decl_Type1".
+
+nrecord comparable : Type[1] ≝
+ {
+ carr          :> Type[0];
+ zeroc         : carr;
+ forallc       : (carr → bool) → bool;
+ eqc           : carr → carr → bool;
+ eqc_to_eq     : ∀x,y.(eqc x y = true) → (x = y);
+ eq_to_eqc     : ∀x,y.(x = y) → (eqc x y = true);
+ neqc_to_neq   : ∀x,y.(eqc x y = false) → (x ≠ y);
+ neq_to_neqc   : ∀x,y.(x ≠ y) → (eqc x y = false);
+ decidable_c   : ∀x,y:carr.decidable (x = y);
+ symmetric_eqc : symmetricT carr bool eqc
+ }.