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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E4">Th12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: POLYEQ_1:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">a9</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">b9</font>, <font color="Olive" title="b5">c</font>, <font color="Olive" title="b6">c9</font>, <font color="Olive" title="b7">d</font>, <font color="Olive" title="b8">d9</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st (  for <font color="Olive" title="b9">x</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds   <a href="polyeq_1.html#K4" title="POLYEQ_1:func.4">Polynom</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b5">c</font>,<font color="Olive" title="b7">d</font>,<font color="Olive" title="b9">x</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="polyeq_1.html#K4" title="POLYEQ_1:func.4">Polynom</a> (<font color="Olive" title="b2">a9</font>,<font color="Olive" title="b4">b9</font>,<font color="Olive" title="b6">c9</font>,<font color="Olive" title="b8">d9</font>,<font color="Olive" title="b9">x</font>) ) holds <br/>( <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">a9</font> &amp; <font color="Olive" title="b3">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">b9</font> &amp; <font color="Olive" title="b5">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">c9</font> &amp; <font color="Olive" title="b7">d</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b8">d9</font> )</div></div>
