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<a NAME="E1:72_3_1"/><span class="lab"><font color="Green" title="E51">A15</font></span>: 
 <a href="dickson.html#K11" title="DICKSON:func.11">OrderedNAT</a>  is  <a href="orders_2.html#V3" title="ORDERS_2:attr.3">reflexive</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="dickson.html#T43" target="_self" title="DICKSON:th.43">Th44</a>, <a class="ref" href="orders_2.html#D2" title="ORDERS_2:def.2">ORDERS_2:def 2</a></span>;<br/>
<a NAME="E2:72_3_1"/>
 <a href="dickson.html#K11" title="DICKSON:func.11">OrderedNAT</a>  is  <a href="orders_2.html#V4" title="ORDERS_2:attr.4">transitive</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="dickson.html#T46" target="_self" title="DICKSON:th.46">Th47</a>, <a class="ref" href="orders_2.html#D3" title="ORDERS_2:def.3">ORDERS_2:def 3</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:72_3_1"/>
 <a href="dickson.html#K11" title="DICKSON:func.11">OrderedNAT</a>  is  <a href="dickson.html#V3" title="DICKSON:attr.3">quasi_ordered</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:72_3_1"><span class="lab"><font color="Green" title="E51">A15</font></span></a>, <a class="ref" href="dickson.html#D3" target="_self" title="DICKSON:def.3">Def3</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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