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<b>consider </b><font color="Maroon">S</font> being  <a href="pre_topc.html#V2">correct</a> <a href="waybel19.html#V2">Lawson</a>  <a href="yellow_9.html#M1">TopAugmentation</a> of <font color="Maroon">N</font>;<br/>
<a NAME="E2:15_2_1"/>
(  <a href="yellow_1.html#K2">InclPoset</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">S</font> is <a href="lattice3.html#V3">complete</a> &amp; not  <a href="yellow_1.html#K2">InclPoset</a> the <a href="pre_topc.html#U1">topology</a> of <font color="Maroon">S</font> is <a href="realset2.html#V3">trivial</a> )
 
;<br/>
<b>hence </b><a NAME="E3:15_2_1"/>
(  <a href="yellow_1.html#K2">InclPoset</a> <span class="p1">(<span class="default"><a href="waybel19.html#K2">lambda</a> <font color="Maroon">N</font></span>)</span> is <a href="lattice3.html#V3">complete</a> &amp; not  <a href="yellow_1.html#K2">InclPoset</a> <span class="p1">(<span class="default"><a href="waybel19.html#K2">lambda</a> <font color="Maroon">N</font></span>)</span> is <a href="realset2.html#V3">trivial</a> )
 <b>by </b><i><a class="ref" href="waybel19.html#D4">WAYBEL19:def 4</a></i>;<br/>


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