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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E54">ZZ3</font></span>: <a NAME="T52"><span class="comment"><font color="firebrick">:: FIELD_14:52</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">p</font> being    <a href="ring_5.html#M1" title="RING_5:mode.1">Ppoly</a> of <font color="Olive" title="b1">F</font><br/>  for <font color="Olive" title="b3">q</font> being   <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Olive" title="b1">F</font> holds <br/> ( <span class="p1">(<span class="default"><a href="polynom5.html#K7" title="POLYNOM5:func.7">Roots</a> <font color="Olive" title="b2">p</font></span>)</span> <a href="ideal_1.html#K13" title="IDEAL_1:func.13">/\</a> <span class="p1">(<span class="default"><a href="polynom5.html#K7" title="POLYNOM5:func.7">Roots</a> <font color="Olive" title="b3">q</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  iff <font color="Olive" title="b2">p</font> <a href="ring_4.html#K12" title="RING_4:func.12">gcd</a> <font color="Olive" title="b3">q</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="polynom3.html#K9" title="POLYNOM3:func.9">1_.</a> <font color="Olive" title="b1">F</font> )</div></div>
