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<div><span class="kw">theorem </span><a NAME="T45"><span class="comment"><font color="firebrick">:: RING_3:45</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">R</font> being    <a href="c0sp1.html#M1" title="C0SP1:mode.1">Subring</a> of <font color="Olive" title="b1">F</font> holds <br/> ( <font color="Olive" title="b2">R</font> is    <a href="ec_pf_1.html#M1" title="EC_PF_1:mode.1">Subfield</a> of <font color="Olive" title="b1">F</font> iff <font color="Olive" title="b2">R</font> is   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a> )</div></div>
