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<a NAME="E1:36_1_1"/><i><font color="Green">E29</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <a href="waybel18.html#K9">Sierpinski_Space</a>  <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">0,1</span><a href="tarski.html#K2">}</a></span>
 
<b>by </b><i><a class="ref" href="waybel18.html#D9">WAYBEL18:def 9</a></i>;<br/>
<a NAME="E2:36_1_1"/>
( 0 <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">0,1</span><a href="tarski.html#K2">}</a></span> &amp; 1 <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">0,1</span><a href="tarski.html#K2">}</a></span> &amp; 0 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 1 )
 
<b>by </b><i><a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/>
<b>hence </b><a NAME="E3:36_1_1"/>
( not  <a href="waybel18.html#K9">Sierpinski_Space</a>  is <a href="realset2.html#V3">trivial</a> &amp;  <a href="waybel18.html#K9">Sierpinski_Space</a>  is <a href="waybel25.html#V1">monotone-convergence</a> )
 <b>by </b><i><a class="txt" href="waybel26.html#E1:36_1_1"><i><font color="Green">E29</font></i></a>, <a class="ref" href="realset2.html#D7">REALSET2:def 7</a></i>;<br/>


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