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-<html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>transitivity sterm</title><meta name="generator" content="DocBook XSL Stylesheets V1.68.1" /><link rel="start" href="index.html" title="Matita V0.1.0&#10; Manual (rev. 0)" /><link rel="up" href="sec_tactics.html" title="Chapter 6. Tactics" /><link rel="prev" href="tac_symmetry.html" title="symmetry" /><link rel="next" href="tac_unfold.html" title="unfold [sterm] &lt;pattern&gt;" /></head><body><div class="navheader"><table width="100%" summary="Navigation header"><tr><th colspan="3" align="center">transitivity sterm</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="tac_symmetry.html">Prev</a> </td><th width="60%" align="center">Chapter 6. Tactics</th><td width="20%" align="right"> <a accesskey="n" href="tac_unfold.html">Next</a></td></tr></table><hr /></div><div class="sect1" lang="en" xml:lang="en"><div class="titlepage"><div><div><h2 class="title" style="clear: both"><a id="tac_transitivity"></a>transitivity <span class="emphasis"><em><a href="sec_terms.html#sterm">sterm</a></em></span></h2></div></div></div><p><strong class="userinput"><code>transitivity t</code></strong></p><p>
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       </p><div class="variablelist"><dl><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 closes the current sequent by transitivity of the equality.</p></dd><dt><span class="term">New sequents to prove:</span></dt><dd><p>It opens two new sequents <span><strong class="command">l=t</strong></span> and
              <span><strong class="command">t=r</strong></span> where <span><strong class="command">l</strong></span> and <span><strong class="command">r</strong></span> are the left and right hand side of the equality in the conclusion of
 the current sequent to prove.</p></dd></dl></div><p>