<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E11">Th13</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: TOPGEN_4:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">F</font> being   <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Olive" title="b1">T</font> holds <br/> ( <font color="Olive" title="b2">F</font> is   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Olive" title="b1">T</font> iff ( <font color="Olive" title="b2">F</font> is  <a href="prob_1.html#V1" title="PROB_1:attr.1">compl-closed</a>  &amp; <font color="Olive" title="b2">F</font> is  <a href="topgen_4.html#V3" title="TOPGEN_4:attr.3">closed_for_countable_unions</a>  ) )</div></div>
