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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="E1:81"/><i><font color="Green" title="E49">A1</font></i>: 
 <a href="jordan6.html#K11" title="JORDAN6:func.11">Upper_Middle_Point</a> <font color="Maroon" title="c1">C</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="jordan6.html#K8" title="JORDAN6:func.8">Upper_Arc</a> <font color="Maroon" title="c1">C</font>
 
<b>by </b><i><a class="ref" href="jordan6.html#T82" target="_self" title="JORDAN6:th.82">Th82</a></i>;<br/>
<a NAME="E2:81"/>
 <a href="jordan6.html#K8" title="JORDAN6:func.8">Upper_Arc</a> <font color="Maroon" title="c1">C</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">C</font>
 
<b>by </b><i><a class="ref" href="jordan6.html#T76" target="_self" title="JORDAN6:th.76">Th76</a></i>;<br/>
<b>hence </b><a NAME="E3:81"/>
 <a href="jordan6.html#K11" title="JORDAN6:func.11">Upper_Middle_Point</a> <font color="Maroon" title="c1">C</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">C</font>
 <b>by </b><i><a class="txt" href="jordan6.html#E1:81"><i><font color="Green" title="E49">A1</font></i></a></i>;<br/>


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