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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>Chapter 7. Tactics</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="index.html" title="Matita V0.99.5 User Manual (rev. 0.99.5 )" /><link rel="prev" href="tacticals.html" title="Tacticals" /><link rel="next" href="tac_apply.html" title="apply" /></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">Chapter 7. Tactics</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="tacticals.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"><div class="titlepage"><div><div><h1 class="title"><a id="sec_tactics"></a>Chapter 7. Tactics</h1></div></div></div><div class="toc"><p><strong>Table of Contents</strong></p><dl class="toc"><dt><span class="sect1"><a href="sec_tactics.html#tactics_quickref">Quick reference card</a></span></dt><dt><span class="sect1"><a href="tac_apply.html">@</a></span></dt><dt><span class="sect1"><a href="tac_auto.html">//</a></span></dt><dt><span class="sect1"><a href="tac_intro.html">#</a></span></dt><dt><span class="sect1"><a href="tac_intro_clear.html">#_</a></span></dt><dt><span class="sect1"><a href="macro_intro.html">##</a></span></dt><dt><span class="sect1"><a href="tac_clear.html">-</a></span></dt><dt><span class="sect1"><a href="tac_constructor.html">%</a></span></dt><dt><span class="sect1"><a href="tac_decompose.html">*</a></span></dt><dt><span class="sect1"><a href="tac_rewrite.html">&gt;</a></span></dt><dt><span class="sect1"><a href="tac_applyS.html">applyS</a></span></dt><dt><span class="sect1"><a href="tac_assumption.html">assumption</a></span></dt><dt><span class="sect1"><a href="tac_cases.html">cases</a></span></dt><dt><span class="sect1"><a href="tac_change.html">change</a></span></dt><dt><span class="sect1"><a href="tac_cut.html">cut</a></span></dt><dt><span class="sect1"><a href="tac_destruct.html">destruct</a></span></dt><dt><span class="sect1"><a href="tac_elim.html">elim</a></span></dt><dt><span class="sect1"><a href="tac_generalize.html">generalize</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_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_whd.html">whd</a></span></dt></dl></div><div class="sect1"><div class="titlepage"><div><div><h2 class="title" style="clear: both"><a id="tactics_quickref"></a>Quick reference card</h2></div></div></div><p>
   3       </p><div class="table"><a id="idm2483"></a><p class="title"><strong>Table 7.1. tactics</strong></p><div class="table-contents"><table class="table" summary="tactics" style="border-collapse: collapse;border-top: 1px solid ; border-bottom: 1px solid ; "><colgroup><col /><col /><col /></colgroup><tbody><tr><td style=""><a id="grammar.tactic"></a><span class="emphasis"><em><a class="link" href="sec_tactics.html#grammar.tactic">tactic</a></em></span></td><td style="">::=</td><td style=""><span class="bold"><strong>@</strong></span> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.sterm">sterm</a></em></span></td></tr><tr><td style=""> </td><td style="">|</td><td style=""><a class="link" href="tac_applyS.html" title="applyS"><span class="bold"><strong>applyS</strong></span></a> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.sterm">sterm</a></em></span> <span class="emphasis"><em><a class="link" href="tacticargs.html#grammar.autoparams">auto_params</a></em></span></td></tr><tr><td style=""> </td><td style="">|</td><td style="">
   4           <a class="link" href="tac_assumption.html" title="assumption">
   5             <span class="bold"><strong>assumption</strong></span>
   6           </a>
   7         </td></tr><tr><td style=""> </td><td style="">|</td><td style=""><span class="bold"><strong>/</strong></span><span class="emphasis"><em><a class="link" href="tacticargs.html#grammar.autoparams">auto_params</a></em></span><span class="bold"><strong>/</strong></span>. </td></tr><tr><td style=""> </td><td style="">|</td><td style="">
   8              <a class="link" href="tac_cases.html" title="cases"><span class="bold"><strong>cases</strong></span></a>
   9              <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.pattern">pattern</a></em></span>
  10             </td></tr><tr><td style=""> </td><td style="">|</td><td style=""><a class="link" href="tac_change.html" title="change"><span class="bold"><strong>change</strong></span></a> <span class="emphasis"><em><a class="link" href="tacticargs.html#grammar.pattern">pattern</a></em></span> <span class="bold"><strong>with</strong></span> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.sterm">sterm</a></em></span></td></tr><tr><td style=""> </td><td style="">|</td><td style="">
  11              <span class="bold"><strong>-</strong></span><span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.id">id</a></em></span>
  12             </td></tr><tr><td style=""> </td><td style="">|</td><td style=""><span class="bold"><strong>%</strong></span> [<span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.nat">nat</a></em></span>] [<span class="bol">{</span><span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.sterm">sterm</a></em></span>…<span class="bol">}</span>]</td></tr><tr><td style=""> </td><td style="">|</td><td style=""><a class="link" href="tac_cut.html" title="cut"><span class="bold"><strong>cut</strong></span></a> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.sterm">sterm</a></em></span></td></tr><tr><td style=""> </td><td style="">|</td><td style="">
  13              <span class="bold"><strong>*</strong></span>
  14              [<span class="bold"><strong>as</strong></span> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.id">id</a></em></span>]
  15             </td></tr><tr><td style=""> </td><td style="">|</td><td style=""><a class="link" href="tac_destruct.html" title="destruct"><span class="bold"><strong>destruct</strong></span></a>
  16              [<span class="bold"><strong>(</strong></span><span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.id">id</a></em></span>…<span class="bold"><strong>)</strong></span>] [<span class="bold"><strong>skip</strong></span> <span class="bold"><strong>(</strong></span><span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.id">id</a></em></span>…<span class="bold"><strong>)</strong></span>]</td></tr><tr><td style=""> </td><td style="">|</td><td style=""><a class="link" href="tac_elim.html" title="elim"><span class="bold"><strong>elim</strong></span></a> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.sterm">sterm</a></em></span> <span class="emphasis"><em><a class="link" href="tacticargs.html#grammar.pattern">pattern</a></em></span></td></tr><tr><td style=""> </td><td style="">|</td><td style=""><a class="link" href="tac_generalize.html" title="generalize"><span class="bold"><strong>generalize</strong></span></a> <span class="emphasis"><em><a class="link" href="tacticargs.html#grammar.pattern">pattern</a></em></span></td></tr><tr><td style=""> </td><td style="">|</td><td style="">
  17           <span class="bold"><strong>#</strong></span>
  18           <span class="emphasis"><em>
  19             <a class="link" href="sec_terms.html#grammar.id">id</a>
  20           </em></span>
  21         </td></tr><tr><td style=""> </td><td style="">|</td><td style="">
  22           <span class="bold"><strong>#_</strong></span>
  23         </td></tr><tr><td style=""> </td><td style="">|</td><td style=""><a class="link" href="tac_inversion.html" title="inversion"><span class="bold"><strong>inversion</strong></span></a> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.sterm">sterm</a></em></span></td></tr><tr><td style=""> </td><td style="">|</td><td style="">
  24              <a class="link" href="tac_lapply.html" title="lapply"><span class="bold"><strong>lapply</strong></span></a>
  25              <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.sterm">sterm</a></em></span>
  26             </td></tr><tr><td style=""> </td><td style="">|</td><td style=""><a class="link" href="tac_letin.html" title="letin"><span class="bold"><strong>letin</strong></span></a> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.id">id</a></em></span> <span class="bold"><strong>≝</strong></span> <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.sterm">sterm</a></em></span></td></tr><tr><td style=""> </td><td style="">|</td><td style="">
  27           <span class="bold"><strong>##</strong></span>
  28         </td></tr><tr><td style=""> </td><td style="">|</td><td style=""><a class="link" href="tac_normalize.html" title="normalize"><span class="bold"><strong>normalize</strong></span></a> <span class="emphasis"><em><a class="link" href="tacticargs.html#grammar.pattern">pattern</a></em></span>
  29              [<span class="bold"><strong>nodelta</strong></span>]</td></tr><tr><td style=""> </td><td style="">|</td><td style="">[<span class="bold"><strong>&lt;</strong></span>|<span class="bold"><strong>&gt;</strong></span>] <span class="emphasis"><em><a class="link" href="sec_terms.html#grammar.sterm">sterm</a></em></span> <span class="emphasis"><em><a class="link" href="tacticargs.html#grammar.pattern">pattern</a></em></span></td></tr><tr><td style=""> </td><td style="">|</td><td style=""><a class="link" href="tac_whd.html" title="whd"><span class="bold"><strong>whd</strong></span></a> <span class="emphasis"><em><a class="link" href="tacticargs.html#grammar.pattern">pattern</a></em></span> [<span class="bold"><strong>nodelta</strong></span>]</td></tr></tbody></table></div></div><p><br class="table-break" />
  30
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