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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E59">Th73</font></span>: <a NAME="T60"><span class="comment"><font color="firebrick">:: ORDINAL7:60</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive" title="b2">b</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive" title="b3">n</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <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> <span class="p2">(<span class="default"><a href="ordinal7.html#K4" title="ORDINAL7:func.4">CantorNF</a> <font color="Olive" title="b1">a</font></span>)</span></span>)</span> holds <br/> <a href="ordinal7.html#K4" title="ORDINAL7:func.4">CantorNF</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">a</font> <a href="ordinal2.html#K10" title="ORDINAL2:func.10">+^</a> <span class="p2">(<span class="default"><font color="Olive" title="b3">n</font> <a href="ordinal2.html#K11" title="ORDINAL2:func.11">*^</a> <span class="p3">(<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></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ordinal7.html#K4" title="ORDINAL7:func.4">CantorNF</a> <font color="Olive" title="b1">a</font></span>)</span> <a href="ordinal4.html#K1" title="ORDINAL4:func.1">^</a> <span class="p1"><a href="afinsq_1.html#K5" title="AFINSQ_1:func.5">&lt;%</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">n</font> <a href="ordinal2.html#K11" title="ORDINAL2:func.11">*^</a> <span class="p3">(<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></span>)</span></span><a href="afinsq_1.html#K5" title="AFINSQ_1:func.5">%&gt;</a></span></div></div>
