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<b>let </b><font color="Maroon" title="c1">C</font> be   <a href="topreal2.html#NM1" title="TOPREAL2:NM.1">Simple_closed_curve</a>;<br/>

<a NAME="E1:23"/>
<span class="p1">(<span class="default"><a href="jordan6.html#K10" title="JORDAN6:func.10">Lower_Middle_Point</a> <font color="Maroon" title="c1">C</font></span>)</span> <a href="euclid.html#K22" title="EUCLID:func.22">`2</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="jordan6.html#K11" title="JORDAN6:func.11">Upper_Middle_Point</a> <font color="Maroon" title="c1">C</font></span>)</span> <a href="euclid.html#K22" title="EUCLID:func.22">`2</a> 
 
<b>by </b><i><a class="ref" href="jordan21.html#T24" target="_self" title="JORDAN21:th.24">Th24</a></i>;<br/>
<b>hence </b><a NAME="E2:23"/>
 <a href="jordan6.html#K10" title="JORDAN6:func.10">Lower_Middle_Point</a> <font color="Maroon" title="c1">C</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="jordan6.html#K11" title="JORDAN6:func.11">Upper_Middle_Point</a> <font color="Maroon" title="c1">C</font>
 ;<br/>


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