<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E44">Def35</font></span>   defines <a href="aimloop.html#V18" title="AIMLOOP:attr.18">inverse-closed</a> <a onclick="hs(this)" href="javascript:()">AIMLOOP:def 37 : <br/></a><span> for <font color="Olive" title="b1">X</font> being   <a href="funct_1.html#V4" title="FUNCT_1:attr.4">functional</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b1">X</font> is  <a href="aimloop.html#V18" title="AIMLOOP:attr.18">inverse-closed</a>  iff  for <font color="Olive" title="b2">f</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> holds <br/><font color="Olive" title="b2">f</font> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> );<br/></span></div>
