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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: FIELD_4:30</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> holds   <a href="field_4.html#K2" title="FIELD_4:func.2">VecSp</a> (<font color="Olive" title="b2">S</font>,<font color="Olive" title="b1">R</font>) is   <a href="vectsp_1.html#NM9" title="VECTSP_1:NM.9">VectSp</a> of <font color="Olive" title="b1">R</font> ;<br/></div></div>
