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<div><span class="kw">theorem </span><a NAME="T81"><span class="comment"><font color="firebrick">:: ORDINAL7:81</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a>  st  <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> <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> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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> <span class="p2">(<span class="default"><a href="ordinal7.html#K4" title="ORDINAL7:func.4">CantorNF</a> <font color="Olive" title="b2">b</font></span>)</span></span>)</span> holds <br/> for <font color="Olive" title="b3">c</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a>  st <font color="Olive" title="b3">c</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="afinsq_1.html#K2" title="AFINSQ_1:func.2">dom</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> holds <br/><span class="p1">(<span class="default"><a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a> <a href="ordinal7.html#K3" title="ORDINAL7:func.3">-leading_coeff</a> <span class="p2">(<span class="default"><a href="ordinal7.html#K4" title="ORDINAL7:func.4">CantorNF</a> <span class="p3">(<span class="default"><font color="Olive" title="b1">a</font> <a href="ordinal7.html#K5" title="ORDINAL7:func.5">(+)</a> <font color="Olive" title="b2">b</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a> <a href="ordinal7.html#K3" title="ORDINAL7:func.3">-leading_coeff</a> <span class="p3">(<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> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">c</font></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ordinal1.html#K4" title="ORDINAL1:func.4">omega</a> <a href="ordinal7.html#K3" title="ORDINAL7:func.3">-leading_coeff</a> <span class="p3">(<span class="default"><a href="ordinal7.html#K4" title="ORDINAL7:func.4">CantorNF</a> <font color="Olive" title="b2">b</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">c</font></span>)</span></div></div>
