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<title>CVC3: CVC3::ArrayProofRules Class Reference</title>
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<div id="projectname">CVC3 <span id="projectnumber">2.4.1</span></div>
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<li class="navelem"><a class="el" href="namespaceCVC3.html">CVC3</a> </li>
<li class="navelem"><a class="el" href="classCVC3_1_1ArrayProofRules.html">ArrayProofRules</a> </li>
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<a href="#pub-methods">Public Member Functions</a> </div>
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<div class="title">CVC3::ArrayProofRules Class Reference</div> </div>
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<!-- doxytag: class="CVC3::ArrayProofRules" -->
<p><code>#include <<a class="el" href="array__proof__rules_8h_source.html">array_proof_rules.h</a>></code></p>
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Inheritance diagram for CVC3::ArrayProofRules:</div>
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<img src="classCVC3_1_1ArrayProofRules.png" usemap="#CVC3::ArrayProofRules_map" alt=""/>
<map id="CVC3::ArrayProofRules_map" name="CVC3::ArrayProofRules_map">
<area href="classCVC3_1_1ArrayTheoremProducer.html" alt="CVC3::ArrayTheoremProducer" shape="rect" coords="0,56,187,80"/>
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<p><a href="classCVC3_1_1ArrayProofRules-members.html">List of all members.</a></p>
<h2><a name="pub-methods"></a>
Public Member Functions</h2>
<ul>
<li>virtual <a class="el" href="classCVC3_1_1ArrayProofRules.html#a33d0304f92256a794052280219b7c303">~ArrayProofRules</a> ()
<li>virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1ArrayProofRules.html#a972bcffba3fec45e0407b21eb337cc36">rewriteSameStore</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e, int n)=0
<li>virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1ArrayProofRules.html#a7bd90a2d883b5a0e9de8de61ae495be2">rewriteWriteWrite</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)=0
<li>virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1ArrayProofRules.html#a7cc5971eef4c841bd3b5c2dce8029b53">rewriteReadWrite</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)=0
<li>virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1ArrayProofRules.html#ae493f58a14d1ab904de9e24fab6f7c10">rewriteReadWrite2</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)=0
<li>virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1ArrayProofRules.html#ad6a2685b58c198964d3e62b0cd9b7536">rewriteRedundantWrite1</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &v_eq_r, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &write)=0
<li>virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1ArrayProofRules.html#a528af9ac1b1f4d43bbf14cad57f0cad7">rewriteRedundantWrite2</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)=0
<li>virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1ArrayProofRules.html#adecec86a93de04d1329f64d7426800d9">interchangeIndices</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)=0
<li>virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1ArrayProofRules.html#aa5e52ae0cc9df232b4304421d0ed5e3c">readArrayLiteral</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)=0
<dl class="el"><dd class="mdescRight">Beta reduction of array literal: |- (array x. f(x))[arg] = f(arg) <a href="#aa5e52ae0cc9df232b4304421d0ed5e3c"></a><br/></dl><li>virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1ArrayProofRules.html#a3fbe2484ae8a80bee72b432e26cfed6e">liftReadIte</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &e)=0
<dl class="el"><dd class="mdescRight">Lift ite over read. <a href="#a3fbe2484ae8a80bee72b432e26cfed6e"></a><br/></dl><li>virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1ArrayProofRules.html#aeae33c2284acb4cdd65e8737afb58227">arrayNotEq</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &e)=0
<dl class="el"><dd class="mdescRight">a /= b |- exists i. a[i] /= b[i] <a href="#aeae33c2284acb4cdd65e8737afb58227"></a><br/></dl><li>virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1ArrayProofRules.html#a894c9cfb8219f6607e9f653384d2076e">splitOnConstants</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &a, const std::vector< <a class="el" href="classCVC3_1_1Expr.html">Expr</a> > &consts)=0
<li>virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> <a class="el" href="classCVC3_1_1ArrayProofRules.html#ae9a9b93c9d3eb87eab3d17c007d4578f">propagateIndexDiseq</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &read1eqread2isFalse)=0
</ul>
<hr/><a name="details" id="details"></a><h2>Detailed Description</h2>
<div class="textblock">
<p>Definition at line <a class="el" href="array__proof__rules_8h_source.html#l00035">35</a> of file <a class="el" href="array__proof__rules_8h_source.html">array_proof_rules.h</a>.</p>
</div><hr/><h2>Constructor & Destructor Documentation</h2>
<a class="anchor" id="a33d0304f92256a794052280219b7c303"></a><!-- doxytag: member="CVC3::ArrayProofRules::~ArrayProofRules" ref="a33d0304f92256a794052280219b7c303" args="()" -->
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<td class="memname">virtual CVC3::ArrayProofRules::~ArrayProofRules </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td><code> [inline, virtual]</code></td>
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<div class="memdoc">
<p>Definition at line <a class="el" href="array__proof__rules_8h_source.html#l00038">38</a> of file <a class="el" href="array__proof__rules_8h_source.html">array_proof_rules.h</a>.</p>
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</div>
<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="a972bcffba3fec45e0407b21eb337cc36"></a><!-- doxytag: member="CVC3::ArrayProofRules::rewriteSameStore" ref="a972bcffba3fec45e0407b21eb337cc36" args="(const Expr &e, int n)=0" -->
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<td class="memname">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::ArrayProofRules::rewriteSameStore </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"><em>n</em> </td>
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<td></td>
<td>)</td>
<td></td><td><code> [pure virtual]</code></td>
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<div class="memdoc">
<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#a0ab9aba97b1937710a9eba916ae02c05">CVC3::ArrayTheoremProducer</a>.</p>
<p>Referenced by <a class="el" href="theory__array_8cpp_source.html#l00368">CVC3::TheoryArray::rewrite()</a>.</p>
</div>
</div>
<a class="anchor" id="a7bd90a2d883b5a0e9de8de61ae495be2"></a><!-- doxytag: member="CVC3::ArrayProofRules::rewriteWriteWrite" ref="a7bd90a2d883b5a0e9de8de61ae495be2" args="(const Expr &e)=0" -->
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<td class="memname">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::ArrayProofRules::rewriteWriteWrite </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [pure virtual]</code></td>
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<div class="memdoc">
<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#a45d175085355a9ff4215371c08fae566">CVC3::ArrayTheoremProducer</a>.</p>
<p>Referenced by <a class="el" href="theory__array_8cpp_source.html#l00368">CVC3::TheoryArray::rewrite()</a>.</p>
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</div>
<a class="anchor" id="a7cc5971eef4c841bd3b5c2dce8029b53"></a><!-- doxytag: member="CVC3::ArrayProofRules::rewriteReadWrite" ref="a7cc5971eef4c841bd3b5c2dce8029b53" args="(const Expr &e)=0" -->
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<td class="memname">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::ArrayProofRules::rewriteReadWrite </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [pure virtual]</code></td>
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<div class="memdoc">
<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#a508cb6e565c59ad0e91ee380774ea379">CVC3::ArrayTheoremProducer</a>.</p>
<p>Referenced by <a class="el" href="theory__array_8cpp_source.html#l00154">CVC3::TheoryArray::checkSat()</a>, <a class="el" href="theory__array_8cpp_source.html#l00368">CVC3::TheoryArray::rewrite()</a>, and <a class="el" href="theory__array_8cpp_source.html#l00550">CVC3::TheoryArray::update()</a>.</p>
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<a class="anchor" id="ae493f58a14d1ab904de9e24fab6f7c10"></a><!-- doxytag: member="CVC3::ArrayProofRules::rewriteReadWrite2" ref="ae493f58a14d1ab904de9e24fab6f7c10" args="(const Expr &e)=0" -->
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<td class="memname">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::ArrayProofRules::rewriteReadWrite2 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [pure virtual]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#a5b6d56f4f0f05cb3671b3c01b293d3bc">CVC3::ArrayTheoremProducer</a>.</p>
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<a class="anchor" id="ad6a2685b58c198964d3e62b0cd9b7536"></a><!-- doxytag: member="CVC3::ArrayProofRules::rewriteRedundantWrite1" ref="ad6a2685b58c198964d3e62b0cd9b7536" args="(const Theorem &v_eq_r, const Expr &write)=0" -->
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<td class="memname">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::ArrayProofRules::rewriteRedundantWrite1 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>v_eq_r</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>write</em> </td>
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<td></td>
<td>)</td>
<td></td><td><code> [pure virtual]</code></td>
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<div class="memdoc">
<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#a1b4dd97c680555f98834c0c2eb63beca">CVC3::ArrayTheoremProducer</a>.</p>
<p>Referenced by <a class="el" href="theory__array_8cpp_source.html#l00154">CVC3::TheoryArray::checkSat()</a>, <a class="el" href="theory__array_8cpp_source.html#l00368">CVC3::TheoryArray::rewrite()</a>, and <a class="el" href="theory__array_8cpp_source.html#l00550">CVC3::TheoryArray::update()</a>.</p>
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<a class="anchor" id="a528af9ac1b1f4d43bbf14cad57f0cad7"></a><!-- doxytag: member="CVC3::ArrayProofRules::rewriteRedundantWrite2" ref="a528af9ac1b1f4d43bbf14cad57f0cad7" args="(const Expr &e)=0" -->
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<td class="memname">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::ArrayProofRules::rewriteRedundantWrite2 </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [pure virtual]</code></td>
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<div class="memdoc">
<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#a4eb3fa026164aa36735dde9de93067e6">CVC3::ArrayTheoremProducer</a>.</p>
<p>Referenced by <a class="el" href="theory__array_8cpp_source.html#l00368">CVC3::TheoryArray::rewrite()</a>, and <a class="el" href="theory__array_8cpp_source.html#l00550">CVC3::TheoryArray::update()</a>.</p>
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<a class="anchor" id="adecec86a93de04d1329f64d7426800d9"></a><!-- doxytag: member="CVC3::ArrayProofRules::interchangeIndices" ref="adecec86a93de04d1329f64d7426800d9" args="(const Expr &e)=0" -->
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<td class="memname">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::ArrayProofRules::interchangeIndices </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [pure virtual]</code></td>
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<div class="memdoc">
<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#a531007d953fd91a89f9d273cf04d2196">CVC3::ArrayTheoremProducer</a>.</p>
<p>Referenced by <a class="el" href="theory__array_8cpp_source.html#l00154">CVC3::TheoryArray::checkSat()</a>, <a class="el" href="theory__array_8cpp_source.html#l00345">CVC3::TheoryArray::pullIndex()</a>, <a class="el" href="theory__array_8cpp_source.html#l00368">CVC3::TheoryArray::rewrite()</a>, and <a class="el" href="theory__array_8cpp_source.html#l00550">CVC3::TheoryArray::update()</a>.</p>
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<a class="anchor" id="aa5e52ae0cc9df232b4304421d0ed5e3c"></a><!-- doxytag: member="CVC3::ArrayProofRules::readArrayLiteral" ref="aa5e52ae0cc9df232b4304421d0ed5e3c" args="(const Expr &e)=0" -->
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<td class="memname">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::ArrayProofRules::readArrayLiteral </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [pure virtual]</code></td>
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<div class="memdoc">
<p>Beta reduction of array literal: |- (array x. f(x))[arg] = f(arg) </p>
<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#a8c0cbeb8e41da7e06528641cdf3be3fb">CVC3::ArrayTheoremProducer</a>.</p>
<p>Referenced by <a class="el" href="theory__array_8cpp_source.html#l00368">CVC3::TheoryArray::rewrite()</a>.</p>
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<a class="anchor" id="a3fbe2484ae8a80bee72b432e26cfed6e"></a><!-- doxytag: member="CVC3::ArrayProofRules::liftReadIte" ref="a3fbe2484ae8a80bee72b432e26cfed6e" args="(const Expr &e)=0" -->
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<td class="memname">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::ArrayProofRules::liftReadIte </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [pure virtual]</code></td>
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<div class="memdoc">
<p>Lift ite over read. </p>
<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#ac8a296684897a290c2894d4e8fee962b">CVC3::ArrayTheoremProducer</a>.</p>
<p>Referenced by <a class="el" href="theory__array_8cpp_source.html#l00368">CVC3::TheoryArray::rewrite()</a>.</p>
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<a class="anchor" id="aeae33c2284acb4cdd65e8737afb58227"></a><!-- doxytag: member="CVC3::ArrayProofRules::arrayNotEq" ref="aeae33c2284acb4cdd65e8737afb58227" args="(const Theorem &e)=0" -->
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<td class="memname">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::ArrayProofRules::arrayNotEq </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>e</em></td><td>)</td>
<td><code> [pure virtual]</code></td>
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<p>a /= b |- exists i. a[i] /= b[i] </p>
<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#ae644c310ea0d55518a2505acc4e3cc1d">CVC3::ArrayTheoremProducer</a>.</p>
<p>Referenced by <a class="el" href="theory__array_8cpp_source.html#l00106">CVC3::TheoryArray::assertFact()</a>.</p>
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<a class="anchor" id="a894c9cfb8219f6607e9f653384d2076e"></a><!-- doxytag: member="CVC3::ArrayProofRules::splitOnConstants" ref="a894c9cfb8219f6607e9f653384d2076e" args="(const Expr &a, const std::vector< Expr > &consts)=0" -->
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<td class="memname">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::ArrayProofRules::splitOnConstants </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> & </td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const std::vector< <a class="el" href="classCVC3_1_1Expr.html">Expr</a> > & </td>
<td class="paramname"><em>consts</em> </td>
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<td></td>
<td>)</td>
<td></td><td><code> [pure virtual]</code></td>
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<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#adfcf46071d0e2a7544d76f8bdcba3cf7">CVC3::ArrayTheoremProducer</a>.</p>
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<a class="anchor" id="ae9a9b93c9d3eb87eab3d17c007d4578f"></a><!-- doxytag: member="CVC3::ArrayProofRules::propagateIndexDiseq" ref="ae9a9b93c9d3eb87eab3d17c007d4578f" args="(const Theorem &read1eqread2isFalse)=0" -->
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<td class="memname">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> CVC3::ArrayProofRules::propagateIndexDiseq </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> & </td>
<td class="paramname"><em>read1eqread2isFalse</em></td><td>)</td>
<td><code> [pure virtual]</code></td>
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<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#a845898b86bdae8fcee18b27d181e6bbd">CVC3::ArrayTheoremProducer</a>.</p>
<p>Referenced by <a class="el" href="theory__array_8cpp_source.html#l00154">CVC3::TheoryArray::checkSat()</a>.</p>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="array__proof__rules_8h_source.html">array_proof_rules.h</a></li>
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<hr class="footer"/><address class="footer"><small>Generated on Wed Sep 7 2011 for CVC3 by 
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<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.7.4 </small></address>
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