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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>=</title><link rel="stylesheet" type="text/css" href="docbook.css" /><meta name="generator" content="DocBook XSL Stylesheets Vsnapshot" /><link rel="home" href="index.html" title="Matita V0.99.5 User Manual (rev. 0.99.5 )" /><link rel="up" href="sec_declarative_tactics.html" title="Chapter 8. Declarative Tactics" /><link rel="prev" href="tac_obtain.html" title="obtain" /><link rel="next" href="tac_bydone.html" title="done" /></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">=</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="tac_obtain.html">Prev</a> </td><th width="60%" align="center">Chapter 8. Declarative Tactics</th><td width="20%" align="right"> <a accesskey="n" href="tac_bydone.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_rewrite_step"></a>=</h2></div></div></div><p><strong class="userinput"><code>= t2 justification</code></strong></p><p>
3       </p><div class="variablelist"><dl class="variablelist"><dt><span class="term">Synopsis:</span></dt><dd><p>
4                <span class="bold"><strong>=</strong></span> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.term">term</a></em></span> [<span class="emphasis"><em><a class="link" href="tacticargs.html#grammar.autoparams">auto_params</a></em></span> | <span class="bold"><strong>using</strong></span> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.term">term</a></em></span> | <span class="bold"><strong>using once</strong></span> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.term">term</a></em></span> | <span class="bold"><strong>proof</strong></span>] [<span class="bold"><strong>done</strong></span>]
5            </p></dd><dt><span class="term">Pre-condition:</span></dt><dd><p>
6                  The user must have started an equality chain with <span class="bold"><strong>conclude</strong></span> or <span class="bold"><strong>obtain</strong></span> that has not been concluded yet.
7              </p></dd><dt><span class="term">Action:</span></dt><dd><p>
8                    It applies the transitivity of <span class="command"><strong>=</strong></span> on the left-hand-side of the current conclusion, <span class="command"><strong>t2</strong></span>, and the right-hand-side of the current conclusion, using the given justification. If <span class="bold"><strong>done</strong></span> is supplied, this represents the last step in the equality chain.
9            </p></dd><dt><span class="term">New sequent to prove:</span></dt><dd><p>
10                  A new sequent for <span class="command"><strong>lhs = t2</strong></span> is opened and then immediately closed using the given justification. A new sequent with the conclusion <span class="command"><strong>t2 = rhs</strong></span> is opened.
11              </p></dd></dl></div><p>
12      </p></div><div class="navfooter"><hr /><table width="100%" summary="Navigation footer"><tr><td width="40%" align="left"><a accesskey="p" href="tac_obtain.html">Prev</a> </td><td width="20%" align="center"><a accesskey="u" href="sec_declarative_tactics.html">Up</a></td><td width="40%" align="right"> <a accesskey="n" href="tac_bydone.html">Next</a></td></tr><tr><td width="40%" align="left" valign="top">obtain </td><td width="20%" align="center"><a accesskey="h" href="index.html">Home</a></td><td width="40%" align="right" valign="top"> done</td></tr></table></div></body></html>