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3 <html xmlns="http://www.w3.org/1999/xhtml"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>Chapter 6. Tactics</title><link rel="stylesheet" href="docbook.css" type="text/css" /><meta name="generator" content="DocBook XSL Stylesheets V1.68.1" /><link rel="start" href="index.html" title="Matita V0.1.0&#10; User Manual (rev. 1α)" /><link rel="up" href="index.html" title="Matita V0.1.0&#10; User Manual (rev. 1α)" /><link rel="prev" href="sec_usernotation.html" title="Chapter 5. Extending the syntax" /><link rel="next" href="tac_apply.html" title="apply sterm" /></head><body><a xmlns="" href="../../"><div class="matita_logo"><img src="../../images/matita-tiny.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">Chapter 6. Tactics</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="sec_usernotation.html">Prev</a> </td><th width="60%" align="center"> </th><td width="20%" align="right"> <a accesskey="n" href="tac_apply.html">Next</a></td></tr></table><hr /></div><div class="chapter" lang="en" xml:lang="en"><div class="titlepage"><div><div><h2 class="title"><a id="sec_tactics"></a>Chapter 6. Tactics</h2></div></div></div><div class="toc"><p><b>Table of Contents</b></p><dl><dt><span class="sect1"><a href="sec_tactics.html#tac_absurd">absurd</a></span></dt><dt><span class="sect1"><a href="tac_apply.html">apply</a></span></dt><dt><span class="sect1"><a href="tac_assumption.html">assumption</a></span></dt><dt><span class="sect1"><a href="tac_auto.html">auto</a></span></dt><dt><span class="sect1"><a href="tac_clear.html">clear</a></span></dt><dt><span class="sect1"><a href="tac_clearbody.html">clearbody</a></span></dt><dt><span class="sect1"><a href="tac_change.html">change</a></span></dt><dt><span class="sect1"><a href="tac_constructor.html">constructor</a></span></dt><dt><span class="sect1"><a href="tac_contradiction.html">contradiction</a></span></dt><dt><span class="sect1"><a href="tac_cut.html">cut</a></span></dt><dt><span class="sect1"><a href="tac_decompose.html">decompose</a></span></dt><dt><span class="sect1"><a href="tac_discriminate.html">discriminate</a></span></dt><dt><span class="sect1"><a href="tac_elim.html">elim</a></span></dt><dt><span class="sect1"><a href="tac_elimType.html">elimType</a></span></dt><dt><span class="sect1"><a href="tac_exact.html">exact</a></span></dt><dt><span class="sect1"><a href="tac_exists.html">exists</a></span></dt><dt><span class="sect1"><a href="tac_fail.html">failt</a></span></dt><dt><span class="sect1"><a href="tac_fold.html">fold</a></span></dt><dt><span class="sect1"><a href="tac_fourier.html">fourier</a></span></dt><dt><span class="sect1"><a href="tac_fwd.html">fwd</a></span></dt><dt><span class="sect1"><a href="tac_generalize.html">generalize</a></span></dt><dt><span class="sect1"><a href="tac_id.html">id</a></span></dt><dt><span class="sect1"><a href="tac_injection.html">injection</a></span></dt><dt><span class="sect1"><a href="tac_intro.html">intro</a></span></dt><dt><span class="sect1"><a href="tac_intros.html">intros</a></span></dt><dt><span class="sect1"><a href="tac_inversion.html">inversion</a></span></dt><dt><span class="sect1"><a href="tac_lapply.html">lapply</a></span></dt><dt><span class="sect1"><a href="tac_left.html">left</a></span></dt><dt><span class="sect1"><a href="tac_letin.html">letin</a></span></dt><dt><span class="sect1"><a href="tac_normalize.html">normalize</a></span></dt><dt><span class="sect1"><a href="tac_paramodulation.html">paramodulation</a></span></dt><dt><span class="sect1"><a href="tac_reduce.html">reduce</a></span></dt><dt><span class="sect1"><a href="tac_reflexivity.html">reflexivity</a></span></dt><dt><span class="sect1"><a href="tac_replace.html">change</a></span></dt><dt><span class="sect1"><a href="tac_rewrite.html">rewrite</a></span></dt><dt><span class="sect1"><a href="tac_right.html">right</a></span></dt><dt><span class="sect1"><a href="tac_ring.html">ring</a></span></dt><dt><span class="sect1"><a href="tac_simplify.html">simplify</a></span></dt><dt><span class="sect1"><a href="tac_split.html">split</a></span></dt><dt><span class="sect1"><a href="tac_symmetry.html">symmetry</a></span></dt><dt><span class="sect1"><a href="tac_transitivity.html">transitivity</a></span></dt><dt><span class="sect1"><a href="tac_unfold.html">unfold</a></span></dt><dt><span class="sect1"><a href="tac_whd.html">whd</a></span></dt></dl></div><div class="sect1" lang="en" xml:lang="en"><div class="titlepage"><div><div><h2 class="title" style="clear: both"><a id="tac_absurd"></a>absurd <span class="emphasis"><em><a href="sec_terms.html#sterm">sterm</a></em></span></h2></div></div></div><p><strong class="userinput"><code>absurd P</code></strong></p><p>
4       </p><div class="variablelist"><dl><dt><span class="term">Pre-conditions:</span></dt><dd><p><span><strong class="command">P</strong></span> must have type <span><strong class="command">Prop</strong></span>.</p></dd><dt><span class="term">Action:</span></dt><dd><p>It closes the current sequent by eliminating an
5              absurd term.</p></dd><dt><span class="term">New sequents to prove:</span></dt><dd><p>It opens two new sequents of conclusion <span><strong class="command">P</strong></span>
6              and <span><strong class="command">¬P</strong></span>.</p></dd></dl></div><p>
7      </p></div></div><div class="navfooter"><hr /><table width="100%" summary="Navigation footer"><tr><td width="40%" align="left"><a accesskey="p" href="sec_usernotation.html">Prev</a> </td><td width="20%" align="center"> </td><td width="40%" align="right"> <a accesskey="n" href="tac_apply.html">Next</a></td></tr><tr><td width="40%" align="left" valign="top">Chapter 5. Extending the syntax </td><td width="20%" align="center"><a accesskey="h" href="index.html">Home</a></td><td width="40%" align="right" valign="top"> apply sterm</td></tr></table></div></body></html>