<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E44">Th46</font></span>: <a NAME="T47"><span class="comment"><font color="firebrick">:: TOPGRP_1:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="topgrp_1.html#V4" title="TOPGRP_1:attr.4">BinContinuous</a>  <a href="topgrp_1.html#NM4" title="TOPGRP_1:NM.4">TopGroup</a><br/>  for <font color="Olive" title="b2">F</font> being   <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b3">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font> holds  <font color="Olive" title="b3">a</font> <a href="group_2.html#K4" title="GROUP_2:func.4">*</a> <font color="Olive" title="b2">F</font> is  <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a> </div></div>
