<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T13"><span class="comment"><font color="firebrick">:: MMLQUERY:13</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">L1</font>, <font color="Olive" title="b3">L2</font> being   <a href="mmlquery.html#NM1" title="MMLQUERY:NM.1">List</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b4">O1</font>, <font color="Olive" title="b5">O2</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" title="b6">n</font>, <font color="Olive" title="b7">m</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b6">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b7">m</font> &amp; <font color="Olive" title="b2">L1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">L2</font> &amp; <font color="Olive" title="b4">O1</font> <a href="relset_1.html#R1" title="RELSET_1:pred.1">c=</a> <font color="Olive" title="b5">O2</font> holds <br/><font color="Olive" title="b2">L1</font> <a href="mmlquery.html#K12" title="MMLQUERY:func.12">WHEREge</a> (<font color="Olive" title="b4">O1</font>,<font color="Olive" title="b7">m</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">L2</font> <a href="mmlquery.html#K12" title="MMLQUERY:func.12">WHEREge</a> (<font color="Olive" title="b5">O2</font>,<font color="Olive" title="b6">n</font>)</div></div>
