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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>generalize &lt;pattern&gt; [as id]</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="sec_tactics.html" title="Chapter 6. Tactics" /><link rel="prev" href="tac_fwd.html" title="fwd id [&lt;ident list&gt;]" /><link rel="next" href="tac_id.html" title="id" /></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">generalize &lt;pattern&gt; [as id]</th></tr><tr><td width="20%" align="left"><a accesskey="p" href="tac_fwd.html">Prev</a> </td><th width="60%" align="center">Chapter 6. Tactics</th><td width="20%" align="right"> <a accesskey="n" href="tac_id.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_generalize"></a>generalize &lt;pattern&gt; [as <span class="emphasis"><em><a href="sec_terms.html#id">id</a></em></span>]</h2></div></div></div><p><strong class="userinput"><code>generalize patt as H</code></strong></p><p>
   4       </p><div class="variablelist"><dl><dt><span class="term">Pre-conditions:</span></dt><dd><p>All the terms matched by <span><strong class="command">patt</strong></span> must be
   5              convertible and close in the context of the current sequent.</p></dd><dt><span class="term">Action:</span></dt><dd><p>It closes the current sequent by applying a stronger
   6              lemma that is proved using the new generated sequent.</p></dd><dt><span class="term">New sequents to prove:</span></dt><dd><p>It opens a new sequent where the current sequent conclusion
   7              <span><strong class="command">G</strong></span> is generalized to
   8              <span><strong class="command">∀x.G{x/t}</strong></span> where <span><strong class="command">{x/t}</strong></span>
   9              is a notation for the replacement with <span><strong class="command">x</strong></span> of all
  10              the occurrences of the term <span><strong class="command">t</strong></span> matched by
  11              <span><strong class="command">patt</strong></span>. If <span><strong class="command">patt</strong></span> matches no
  12              subterm then <span><strong class="command">t</strong></span> is defined as the
  13              <span><strong class="command">wanted</strong></span> part of the pattern.</p></dd></dl></div><p>
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