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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="topreal2.html#NM1">Simple_closed_curve</a>;<br/>

<a NAME="E1:41"/><i><font color="Green">E40</font></i>: 
 <a href="jordan19.html#K3">North_Arc</a> <font color="Maroon">c<sub>1</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="jordan22.html#T37" target="_self">Th37</a></i>;<br/>
<a NAME="E2:41"/>
 <a href="pscomp_1.html#K31">E-max</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="jordan19.html#K3">North_Arc</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="jordan22.html#T32" target="_self">Th32</a></i>;<br/>
<b>hence </b><a NAME="E3:41"/>
 <a href="pscomp_1.html#K17">E-bound</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="pscomp_1.html#K17">E-bound</a> <span class="p1">(<span class="default"><a href="jordan19.html#K3">North_Arc</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="jordan22.html#E1:41"><i><font color="Green">E40</font></i></a>, <a class="ref" href="jordan1j.html#T66">JORDAN1J:66</a></i>;<br/>


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