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(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(* $Id: Ring.v,v 1.1.2.1 2004/07/16 19:30:18 herbelin Exp $ *)
Require Export Bool.
Require Export Ring_theory.
Require Export Quote.
Require Export Ring_normalize.
Require Export Ring_abstract.
(* As an example, we provide an instantation for bool. *)
(* Other instatiations are given in ArithRing and ZArithRing in the
same directory *)
Definition BoolTheory : (Ring_Theory xorb andb true false [b:bool]b eqb).
Split; Simpl.
NewDestruct n; NewDestruct m; Reflexivity.
NewDestruct n; NewDestruct m; NewDestruct p; Reflexivity.
NewDestruct n; NewDestruct m; Reflexivity.
NewDestruct n; NewDestruct m; NewDestruct p; Reflexivity.
NewDestruct n; Reflexivity.
NewDestruct n; Reflexivity.
NewDestruct n; Reflexivity.
NewDestruct n; NewDestruct m; NewDestruct p; Reflexivity.
NewDestruct x; NewDestruct y; Reflexivity Orelse Simpl; Tauto.
Defined.
Add Ring bool xorb andb true false [b:bool]b eqb BoolTheory [ true false ].
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