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<b>let </b><font color="Maroon">C</font> be   <a href="topreal2.html#NM1">Simple_closed_curve</a>;<br/>

<a NAME="E1:81"/><i><font color="Green">E37</font></i>: 
 <a href="jordan6.html#K11" target="_self">Upper_Middle_Point</a> <font color="Maroon">C</font> <a href="hidden.html#R2">in</a>  <a href="jordan6.html#K8" target="_self">Upper_Arc</a> <font color="Maroon">C</font>
 
<b>by </b><i/>;<br/>
<a NAME="E2:81"/>
 <a href="jordan6.html#K8" target="_self">Upper_Arc</a> <font color="Maroon">C</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">C</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:81"/>
 <a href="jordan6.html#K11" target="_self">Upper_Middle_Point</a> <font color="Maroon">C</font> <a href="hidden.html#R2">in</a> <font color="Maroon">C</font>
 <b>by </b><i><a class="ref" href="jordan6.html#T5" target="_self">Th5</a></i>;<br/>


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