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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E53">Def9</font></span>   defines <a href="ordinal5.html#V5" title="ORDINAL5:attr.5">Cantor-component</a> <a onclick="hs(this)" href="javascript:()">ORDINAL5:def 9 : <br/></a><span> for <font color="Olive" title="b1">a</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a> holds <br/> ( <font color="Olive" title="b1">a</font> is  <a href="ordinal5.html#V5" title="ORDINAL5:attr.5">Cantor-component</a>  iff  ex <font color="Olive" title="b2">b</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a> ex <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <br/>(  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="card_1.html#K5" title="CARD_1:func.5">Segm</a> <font color="Olive" title="b3">n</font> &amp; <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">n</font> <a href="ordinal2.html#K11" title="ORDINAL2:func.11">*^</a> <span class="p1">(<span class="default"><a href="ordinal2.html#K12" title="ORDINAL2:func.12">exp</a> (<a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a>,<font color="Olive" title="b2">b</font>)</span>)</span> ) );<br/></span></div>
