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<div><span class="kw">theorem </span><a NAME="T47"><span class="comment"><font color="firebrick">:: FIELD_9:47</font></span><br/></a><div class="add">(  <a href="field_9.html#K11" title="FIELD_9:func.11">X^2+X+1</a>  <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <span class="p1">(<span class="default"><a href="field_9.html#K2" title="FIELD_9:func.2">X-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span> <a href="polynom3.html#K12" title="POLYNOM3:func.12">*'</a> <span class="p1">(<span class="default"><a href="field_9.html#K2" title="FIELD_9:func.2">X-</a> <span class="p2">(<span class="default"><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span></span>)</span> &amp; <span class="p1">(<span class="default"><a href="field_9.html#K2" title="FIELD_9:func.2">X-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span> <a href="polynom3.html#K12" title="POLYNOM3:func.12">*'</a> <span class="p1">(<span class="default"><a href="field_9.html#K2" title="FIELD_9:func.2">X-</a> <span class="p2">(<span class="default"><a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a> <a href="algstr_0.html#K9" title="ALGSTR_0:func.9">"</a></span>)</span></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1">(<span class="default"><a href="field_9.html#K2" title="FIELD_9:func.2">X-</a> <a href="field_9.html#K14" title="FIELD_9:func.14">alpha</a></span>)</span> <a href="polynom3.html#K12" title="POLYNOM3:func.12">*'</a> <span class="p1">(<span class="default"><a href="field_9.html#K2" title="FIELD_9:func.2">X-</a> <a href="field_9.html#K15" title="FIELD_9:func.15">alpha-1</a></span>)</span> ) <span class="kw">by</span> <span class="lab"><a class="txt" href="field_9.html#E73"><span class="lab"><font color="Green" title="E47">lemZ2</font></span></a>, <a class="ref" href="field_9.html#T46" target="_self" onmouseover="rs('field_9/T46')" onmouseout="rh()">lemalph</a></span>;<br/></div></div>
