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<a NAME="E1:72_3_1"/><i><font color="Green" title="E51">A12</font></i>: 
 <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>
 
<b>by </b><i><a class="ref" href="dickson.html#T44" target="_self" title="DICKSON:th.44">Th44</a>, <a class="ref" href="orders_2.html#D4" title="ORDERS_2:def.4">ORDERS_2:def 4</a></i>;<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>
 
<b>by </b><i><a class="ref" href="dickson.html#T47" target="_self" title="DICKSON:th.47">Th47</a>, <a class="ref" href="orders_2.html#D5" title="ORDERS_2:def.5">ORDERS_2:def 5</a></i>;<br/>
<b>hence </b><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>
 <b>by </b><i><a class="txt" href="dickson.html#E1:72_3_1"><i><font color="Green" title="E51">A12</font></i></a>, <a class="ref" href="dickson.html#D3" target="_self" title="DICKSON:def.3">Def3</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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