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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">m4</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: FIELD_7:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">S</font> being   <a href="field_4.html#NM1" title="FIELD_4:NM.1">RingExtension</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b3">p</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">R</font></span>)</span><br/>  for <font color="Olive" title="b4">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="b2">S</font></span>)</span>  st <font color="Olive" title="b3">p</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Olive" title="b4">q</font> holds <br/> <a href="field_4.html#K1" title="FIELD_4:func.1">Roots</a> (<font color="Olive" title="b2">S</font>,<font color="Olive" title="b3">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="polynom5.html#K7" title="POLYNOM5:func.7">Roots</a> <font color="Olive" title="b4">q</font></div></div>
