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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>  </ul>
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<p><code>#include &lt;<a class="el" href="array__proof__rules_8h_source.html">array_proof_rules.h</a>&gt;</code></p>

<p>Inherited by <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html">CVC3::ArrayTheoremProducer</a>.</p>
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Collaboration diagram for CVC3::ArrayProofRules:</div>
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Public Member Functions</h2></td></tr>
<tr class="memitem:a33d0304f92256a794052280219b7c303"><td class="memItemLeft" align="right" valign="top">virtual&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#a33d0304f92256a794052280219b7c303">~ArrayProofRules</a> ()</td></tr>
<tr class="separator:a33d0304f92256a794052280219b7c303"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a972bcffba3fec45e0407b21eb337cc36"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#a972bcffba3fec45e0407b21eb337cc36">rewriteSameStore</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &amp;e, int n)=0</td></tr>
<tr class="separator:a972bcffba3fec45e0407b21eb337cc36"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7bd90a2d883b5a0e9de8de61ae495be2"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#a7bd90a2d883b5a0e9de8de61ae495be2">rewriteWriteWrite</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &amp;e)=0</td></tr>
<tr class="separator:a7bd90a2d883b5a0e9de8de61ae495be2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a7cc5971eef4c841bd3b5c2dce8029b53"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#a7cc5971eef4c841bd3b5c2dce8029b53">rewriteReadWrite</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &amp;e)=0</td></tr>
<tr class="separator:a7cc5971eef4c841bd3b5c2dce8029b53"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae493f58a14d1ab904de9e24fab6f7c10"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#ae493f58a14d1ab904de9e24fab6f7c10">rewriteReadWrite2</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &amp;e)=0</td></tr>
<tr class="separator:ae493f58a14d1ab904de9e24fab6f7c10"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad6a2685b58c198964d3e62b0cd9b7536"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#ad6a2685b58c198964d3e62b0cd9b7536">rewriteRedundantWrite1</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &amp;v_eq_r, const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &amp;write)=0</td></tr>
<tr class="separator:ad6a2685b58c198964d3e62b0cd9b7536"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a528af9ac1b1f4d43bbf14cad57f0cad7"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#a528af9ac1b1f4d43bbf14cad57f0cad7">rewriteRedundantWrite2</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &amp;e)=0</td></tr>
<tr class="separator:a528af9ac1b1f4d43bbf14cad57f0cad7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:adecec86a93de04d1329f64d7426800d9"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#adecec86a93de04d1329f64d7426800d9">interchangeIndices</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &amp;e)=0</td></tr>
<tr class="separator:adecec86a93de04d1329f64d7426800d9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa5e52ae0cc9df232b4304421d0ed5e3c"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#aa5e52ae0cc9df232b4304421d0ed5e3c">readArrayLiteral</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &amp;e)=0</td></tr>
<tr class="memdesc:aa5e52ae0cc9df232b4304421d0ed5e3c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Beta reduction of array literal: |- (array x. f(x))[arg] = f(arg)  <a href="#aa5e52ae0cc9df232b4304421d0ed5e3c"></a><br/></td></tr>
<tr class="separator:aa5e52ae0cc9df232b4304421d0ed5e3c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3fbe2484ae8a80bee72b432e26cfed6e"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#a3fbe2484ae8a80bee72b432e26cfed6e">liftReadIte</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &amp;e)=0</td></tr>
<tr class="memdesc:a3fbe2484ae8a80bee72b432e26cfed6e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Lift ite over read.  <a href="#a3fbe2484ae8a80bee72b432e26cfed6e"></a><br/></td></tr>
<tr class="separator:a3fbe2484ae8a80bee72b432e26cfed6e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aeae33c2284acb4cdd65e8737afb58227"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#aeae33c2284acb4cdd65e8737afb58227">arrayNotEq</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &amp;e)=0</td></tr>
<tr class="memdesc:aeae33c2284acb4cdd65e8737afb58227"><td class="mdescLeft">&#160;</td><td class="mdescRight">a /= b |- exists i. a[i] /= b[i]  <a href="#aeae33c2284acb4cdd65e8737afb58227"></a><br/></td></tr>
<tr class="separator:aeae33c2284acb4cdd65e8737afb58227"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a894c9cfb8219f6607e9f653384d2076e"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#a894c9cfb8219f6607e9f653384d2076e">splitOnConstants</a> (const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &amp;a, const std::vector&lt; <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &gt; &amp;consts)=0</td></tr>
<tr class="separator:a894c9cfb8219f6607e9f653384d2076e"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae9a9b93c9d3eb87eab3d17c007d4578f"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classCVC3_1_1ArrayProofRules.html#ae9a9b93c9d3eb87eab3d17c007d4578f">propagateIndexDiseq</a> (const <a class="el" href="classCVC3_1_1Theorem.html">Theorem</a> &amp;read1eqread2isFalse)=0</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">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><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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          <td class="memname">virtual CVC3::ArrayProofRules::~ArrayProofRules </td>
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          <td class="paramname"></td><td>)</td>
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<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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<h2 class="groupheader">Member Function Documentation</h2>
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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> &amp;&#160;</td>
          <td class="paramname"><em>e</em>, </td>
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          <td class="paramkey"></td>
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          <td class="paramtype">int&#160;</td>
          <td class="paramname"><em>n</em>&#160;</td>
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<span class="mlabels"><span class="mlabel">pure virtual</span></span>  </td>
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<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>

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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> &amp;&#160;</td>
          <td class="paramname"><em>e</em></td><td>)</td>
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<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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          <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> &amp;&#160;</td>
          <td class="paramname"><em>e</em></td><td>)</td>
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<span class="mlabels"><span class="mlabel">pure virtual</span></span>  </td>
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<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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          <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> &amp;&#160;</td>
          <td class="paramname"><em>e</em></td><td>)</td>
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<p>Implemented in <a class="el" href="classCVC3_1_1ArrayTheoremProducer.html#a5b6d56f4f0f05cb3671b3c01b293d3bc">CVC3::ArrayTheoremProducer</a>.</p>

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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> &amp;&#160;</td>
          <td class="paramname"><em>v_eq_r</em>, </td>
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          <td></td>
          <td class="paramtype">const <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &amp;&#160;</td>
          <td class="paramname"><em>write</em>&#160;</td>
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          <td>)</td>
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<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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          <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> &amp;&#160;</td>
          <td class="paramname"><em>e</em></td><td>)</td>
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<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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          <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> &amp;&#160;</td>
          <td class="paramname"><em>e</em></td><td>)</td>
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<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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          <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> &amp;&#160;</td>
          <td class="paramname"><em>e</em></td><td>)</td>
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<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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          <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> &amp;&#160;</td>
          <td class="paramname"><em>e</em></td><td>)</td>
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<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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          <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> &amp;&#160;</td>
          <td class="paramname"><em>e</em></td><td>)</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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          <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> &amp;&#160;</td>
          <td class="paramname"><em>a</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const std::vector&lt; <a class="el" href="classCVC3_1_1Expr.html">Expr</a> &gt; &amp;&#160;</td>
          <td class="paramname"><em>consts</em>&#160;</td>
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          <td></td>
          <td>)</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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          <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> &amp;&#160;</td>
          <td class="paramname"><em>read1eqread2isFalse</em></td><td>)</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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