<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T47"><span class="comment"><font color="firebrick">:: DICKSON:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font> being    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a>   st <font color="Olive" title="b1">M</font> is  <a href="dickson.html#V4" title="DICKSON:attr.4">Dickson</a>  &amp; <font color="Olive" title="b1">M</font> is  <a href="dickson.html#V3" title="DICKSON:attr.3">quasi_ordered</a>  holds <br/>( <span class="p1"><a href="yellow_3.html#K3" title="YELLOW_3:func.3">[:</a><span class="default"><font color="Olive" title="b1">M</font>,<a href="dickson.html#K11" title="DICKSON:func.11">OrderedNAT</a></span><a href="yellow_3.html#K3" title="YELLOW_3:func.3">:]</a></span> is  <a href="dickson.html#V3" title="DICKSON:attr.3">quasi_ordered</a>  &amp; <span class="p1"><a href="yellow_3.html#K3" title="YELLOW_3:func.3">[:</a><span class="default"><font color="Olive" title="b1">M</font>,<a href="dickson.html#K11" title="DICKSON:func.11">OrderedNAT</a></span><a href="yellow_3.html#K3" title="YELLOW_3:func.3">:]</a></span> is  <a href="dickson.html#V4" title="DICKSON:attr.4">Dickson</a>  ) <span class="kw">by</span> <span class="lab"><a class="ref" href="dickson.html#T37" target="_self" onmouseover="rs('dickson/T37')" onmouseout="rh()">Th36</a></span>;<br/></div></div>
