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<a NAME="E1:72_3_1"/><i><font color="Green">E51</font></i>: 
 <a href="dickson.html#K11" target="_self">OrderedNAT</a>  is <a href="orders_2.html#V2">reflexive</a>
 
<b>by </b><i><a class="ref" href="dickson.html#T44" target="_self">Th44</a>, <a class="ref" href="orders_2.html#D4">ORDERS_2:def 4</a></i>;<br/>
<a NAME="E2:72_3_1"/>
 <a href="dickson.html#K11" target="_self">OrderedNAT</a>  is <a href="orders_2.html#V3">transitive</a>
 
<b>by </b><i><a class="ref" href="dickson.html#T47" target="_self">Th47</a>, <a class="ref" href="orders_2.html#D5">ORDERS_2:def 5</a></i>;<br/>
<b>hence </b><a NAME="E3:72_3_1"/>
 <a href="dickson.html#K11" target="_self">OrderedNAT</a>  is <a href="dickson.html#V3" target="_self">quasi_ordered</a>
 <b>by </b><i><a class="txt" href="dickson.html#E1:72_3_1"><i><font color="Green">E51</font></i></a>, <a class="ref" href="dickson.html#D3" target="_self">Def3</a></i>;<br/>


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