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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: FIELD_2:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">K</font>, <font color="Olive" title="b2">F</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a>  st <font color="Olive" title="b1">K</font>,<font color="Olive" title="b2">F</font> <a href="tsep_1.html#R1" title="TSEP_1:pred.1">are_disjoint</a>  holds <br/>( <font color="Olive" title="b2">F</font> is <font color="Olive" title="b1">K</font> <a href="ring_3.html#V1" title="RING_3:attr.1">-monomorphic</a>  iff  ex <font color="Olive" title="b3">E</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a> st <br/>( <font color="Olive" title="b3">E</font>,<font color="Olive" title="b2">F</font> <a href="ring_3.html#R2" title="RING_3:pred.2">are_isomorphic</a>  &amp; <font color="Olive" title="b1">K</font> is    <a href="ec_pf_1.html#M1" title="EC_PF_1:mode.1">Subfield</a> of <font color="Olive" title="b3">E</font> ) )</div></div>
