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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E43">Th51</font></span>: <a NAME="T38"><span class="comment"><font color="firebrick">:: ORDINAL7:38</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="ordinal5.html#V6" title="ORDINAL5:attr.6">Cantor-normal-form</a>  <a href="ordinal2.html#NM1" title="ORDINAL2:NM.1">Ordinal-Sequence</a> holds <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="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p1">(<span class="default"><a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a> <a href="ordinal7.html#K1" title="ORDINAL7:func.1">-exponent</a> <font color="Olive" title="b1">A</font></span>)</span> iff ( <font color="Olive" title="b1">A</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a> <a href="ordinal5.html#K5" title="ORDINAL5:func.5">-exponent</a> <span class="p1">(<span class="default"><a href="ordinal2.html#K1" title="ORDINAL2:func.1">last</a> <font color="Olive" title="b1">A</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  ) )</div></div>
