<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E4">Th3</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: REALSET1:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">A</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">X</font> holds  <font color="Olive" title="b2">A</font> is  <a href="funct_3.html#K9" title="FUNCT_3:func.9">pr1</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b1">X</font>) <a href="realset1.html#V1" title="REALSET1:attr.1">-binopclosed</a> </div></div>
