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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="E1:42"/><i><font color="Green">E48</font></i>: 
 <a href="jordan19.html#K4">South_Arc</a> <font color="Maroon">C</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">C</font>
 
<b>by </b><i/>;<br/>
<a NAME="E2:42"/>
 <a href="pscomp_1.html#K27">W-min</a> <font color="Maroon">C</font> <a href="hidden.html#R2">in</a>  <a href="jordan19.html#K4">South_Arc</a> <font color="Maroon">C</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:42"/>
 <a href="pscomp_1.html#K15">W-bound</a> <font color="Maroon">C</font> <a href="hidden.html#R1">=</a>  <a href="pscomp_1.html#K15">W-bound</a> <span class="p1">(<span class="default"><a href="jordan19.html#K4">South_Arc</a> <font color="Maroon">C</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="jordan1j.html#T65">JORDAN1J:65</a></i>;<br/>


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