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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E43">thXXe</font></span>: <a NAME="T37"><span class="comment"><font color="firebrick">:: FIELD_16:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="group_1.html#V1" title="GROUP_1:attr.1">unital</a>  <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">n</font> being   non  <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">trivial</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b4">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">S</font> holds <br/> ( <font color="Olive" title="b4">a</font> <a href="field_4.html#R1" title="FIELD_4:pred.1">is_a_root_of</a>  <a href="field_16.html#K7" title="FIELD_16:func.7">X^</a> (<font color="Olive" title="b3">n</font>,<font color="Olive" title="b1">R</font>),<font color="Olive" title="b2">S</font> iff <font color="Olive" title="b4">a</font> <a href="binom.html#K2" title="BINOM:func.2">|^</a> <font color="Olive" title="b3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">a</font> )</div></div>
