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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E30">np1</font></span>: <a NAME="T25"><span class="comment"><font color="firebrick">:: RING_4:25</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>, <font color="Olive" title="b3">q</font> being    <a href="ring_4.html#M1" title="RING_4:mode.1">Element</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K13" title="POLYNOM3:func.13">Polynom-Ring</a> <font color="Olive" title="b1">F</font></span>)</span> holds <br/> ( <font color="Olive" title="b3">q</font> <a href="ring_4.html#R1" title="RING_4:pred.1">divides</a> <font color="Olive" title="b2">p</font> iff  <a href="ring_4.html#K3" title="RING_4:func.3">NormPolynomial</a> <font color="Olive" title="b3">q</font> <a href="ring_4.html#R1" title="RING_4:pred.1">divides</a> <font color="Olive" title="b2">p</font> )</div></div>
