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Diffstat (limited to 'contrib/ring/Ring.v')
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diff --git a/contrib/ring/Ring.v b/contrib/ring/Ring.v new file mode 100644 index 00000000..81497533 --- /dev/null +++ b/contrib/ring/Ring.v @@ -0,0 +1,36 @@ +(************************************************************************) +(* 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 1.9.2.1 2004/07/16 19:30:13 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 (fun b:bool => b) eqb. +split; simpl in |- *. +destruct n; destruct m; reflexivity. +destruct n; destruct m; destruct p; reflexivity. +destruct n; destruct m; reflexivity. +destruct n; destruct m; destruct p; reflexivity. +destruct n; reflexivity. +destruct n; reflexivity. +destruct n; reflexivity. +destruct n; destruct m; destruct p; reflexivity. +destruct x; destruct y; reflexivity || simpl in |- *; tauto. +Defined. + +Add Ring bool xorb andb true false (fun b:bool => b) eqb BoolTheory + [ true false ].
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