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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">Th25</font></span>: <a NAME="T25"><span class="comment"><font color="firebrick">:: JORDAN_A:25</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><br/>  for <font color="Olive" title="b2">S</font> being    <a href="jordan_a.html#M1" title="JORDAN_A:mode.1">Segmentation</a> of <font color="Olive" title="b1">C</font><br/>  for <font color="Olive" title="b3">j</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st 1 <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b3">j</font> &amp; <font color="Olive" title="b3">j</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b2">S</font></span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1 holds <br/> <a href="jordan_a.html#K2" title="JORDAN_A:func.2">Segm</a> (<font color="Olive" title="b2">S</font>,<span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b2">S</font></span>)</span>) <a href="subset_1.html#R1" title="SUBSET_1:pred.1">misses</a>  <a href="jordan_a.html#K2" title="JORDAN_A:func.2">Segm</a> (<font color="Olive" title="b2">S</font>,<font color="Olive" title="b3">j</font>)</div></div>
