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<div><span class="kw">theorem </span><a NAME="T69"><span class="comment"><font color="firebrick">:: FIELD_16:69</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> holds <br/> ( <font color="Olive" title="b1">F</font> is  <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  iff  ex <font color="Olive" title="b2">p</font> being   <a href="int_2.html#NM1" title="INT_2:NM.1">Prime</a> ex <font color="Olive" title="b3">n</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> ex <font color="Olive" title="b4">G</font> being    <a href="field_16.html#M1" title="FIELD_16:mode.1">GaloisField</a> of <font color="Olive" title="b2">p</font> <a href="newton.html#K1" title="NEWTON:func.1">|^</a> <font color="Olive" title="b3">n</font> st <font color="Olive" title="b1">F</font>,<font color="Olive" title="b4">G</font> <a href="ring_3.html#R2" title="RING_3:pred.2">are_isomorphic</a>  )</div></div>
