<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E14">Def7</font></span>   defines <a href="mmlquer2.html#K5" title="MMLQUER2:func.5">first</a> <a onclick="hs(this)" href="javascript:()">MMLQUER2:def 7 : <br/></a><span> 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">O</font> being   <a href="mmlquery.html#NM2" title="MMLQUERY:NM.2">Operation</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="relset_1.html#NM2" title="RELSET_1:NM.2">Relation</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="mmlquer2.html#K5" title="MMLQUER2:func.5">first</a> <font color="Olive" title="b2">O</font> iff  for <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b4">x</font>,<font color="Olive" title="b5">y</font> <a href="mmlquery.html#R1" title="MMLQUERY:pred.1">in</a> <font color="Olive">b<sub>3</sub></font> iff ( <font color="Olive" title="b4">x</font> <a href="mmlquery.html#K1" title="MMLQUERY:func.1">.</a> <font color="Olive" title="b2">O</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Olive" title="b5">y</font> <a href="mmlquery.html#K1" title="MMLQUERY:func.1">.</a> <font color="Olive" title="b2">O</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  ) ) );<br/></span></div>
