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<div><span class="kw">theorem </span><a NAME="T50"><span class="comment"><font color="firebrick">:: JORDAN21:50</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</font> being   <a href="topreal2.html#NM1" title="TOPREAL2:NM.1">Simple_closed_curve</a>  holds <br/>(  not  <a href="jordan21.html#K2" title="JORDAN21:func.2">LMP</a> <font color="Olive" title="b1">C</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="jordan6.html#K8" title="JORDAN6:func.8">Upper_Arc</a> <font color="Olive" title="b1">C</font> or  not  <a href="jordan21.html#K1" title="JORDAN21:func.1">UMP</a> <font color="Olive" title="b1">C</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="jordan6.html#K8" title="JORDAN6:func.8">Upper_Arc</a> <font color="Olive" title="b1">C</font> )</div></div>
