matita/matita/help/C/tac_apply.html

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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>apply</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_tactics.html" title="Chapter 7. Tactics" /><link rel="prev" href="sec_tactics.html" title="Chapter 7. Tactics" /><link rel="next" href="tac_auto.html" title="auto" /></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">apply</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="sec_tactics.html">Prev</a> </td><th width="60%" align="center">Chapter 7. Tactics</th><td width="20%" align="right"> <a accesskey="n" href="tac_auto.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_apply"></a>apply</h2></div></div></div><p><strong class="userinput"><code>@t</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>@</strong></span> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.sterm">sterm</a></em></span></p></dd><dt><span class="term">Pre-conditions:</span></dt><dd><p><span class="command"><strong>t</strong></span> must have type
   4              <span class="command"><strong>T<sub>1</sub> → … →
   5               T<sub>n</sub> → G</strong></span>
   6              where <span class="command"><strong>G</strong></span> can be unified with the conclusion
   7              of the current sequent.</p></dd><dt><span class="term">Action:</span></dt><dd><p>It closes the current sequent by applying <span class="command"><strong>t</strong></span> to <span class="command"><strong>n</strong></span> implicit arguments (that become new sequents).</p></dd><dt><span class="term">New sequents to prove:</span></dt><dd><p>It opens a new sequent for each premise
   8              <span class="command"><strong>T<sub>i</sub></strong></span> that is not
   9              instantiated by unification. <span class="command"><strong>T<sub>i</sub></strong></span> is
  10              the conclusion of the <span class="command"><strong>i</strong></span>-th new sequent to
  11              prove.</p></dd></dl></div><p>
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