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2 <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"><html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>symmetry</title><link rel="stylesheet" type="text/css" href="docbook.css" /><meta name="generator" content="DocBook XSL Stylesheets V1.78.1" /><link rel="home" href="index.html" title="Matita V0.5.9 User Manual (rev. 0.5.9 )" /><link rel="up" href="sec_tactics.html" title="Chapter 7. Tactics" /><link rel="prev" href="tac_subst.html" title="subst" /><link rel="next" href="tac_transitivity.html" title="transitivity" /></head><body><a xmlns="" href="../../../"><div class="matita_logo"><img src="figures/matita.png" alt="Tiny Matita logo" /><span>Matita Home</span></div></a><div class="navheader"><table width="100%" summary="Navigation header"><tr><th colspan="3" align="center">symmetry</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="tac_subst.html">Prev</a> </td><th width="60%" align="center">Chapter 7. Tactics</th><td width="20%" align="right"> <a accesskey="n" href="tac_transitivity.html">Next</a></td></tr></table><hr /></div><div class="sect1"><div class="titlepage"><div><div><h2 class="title" style="clear: both"><a id="tac_symmetry"></a>symmetry</h2></div></div></div><p>The tactic <span class="command"><strong>symmetry</strong></span> </p><p><strong class="userinput"><code>symmetry </code></strong></p><p>
3       </p><div class="variablelist"><dl class="variablelist"><dt><span class="term">Synopsis:</span></dt><dd><p><span class="bold"><strong>symmetry</strong></span></p></dd><dt><span class="term">Pre-conditions:</span></dt><dd><p>The conclusion of the current proof must be an equality.</p></dd><dt><span class="term">Action:</span></dt><dd><p>It swaps the two sides of the equalityusing the symmetric
4              property.</p></dd><dt><span class="term">New sequents to prove:</span></dt><dd><p>None.</p></dd></dl></div><p>
5     </p></div><div class="navfooter"><hr /><table width="100%" summary="Navigation footer"><tr><td width="40%" align="left"><a accesskey="p" href="tac_subst.html">Prev</a> </td><td width="20%" align="center"><a accesskey="u" href="sec_tactics.html">Up</a></td><td width="40%" align="right"> <a accesskey="n" href="tac_transitivity.html">Next</a></td></tr><tr><td width="40%" align="left" valign="top">subst </td><td width="20%" align="center"><a accesskey="h" href="index.html">Home</a></td><td width="40%" align="right" valign="top"> transitivity</td></tr></table></div></body></html>