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<div><span class="kw">theorem </span><a NAME="T45"><span class="comment"><font color="firebrick">:: FIELD_1:45</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">p</font> being   <a href="ring_2.html#V5" title="RING_2:attr.5">irreducible</a>   <a href="ring_4.html#M1" title="RING_4:mode.1">Element</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polynom3.html#K13" title="POLYNOM3:func.13">Polynom-Ring</a> <font color="Olive" title="b1">F</font></span>)</span>  st  not <font color="Olive" title="b2">p</font> is  <a href="polynom5.html#V1" title="POLYNOM5:attr.1">with_roots</a>  holds <br/> not  <a href="field_1.html#K5" title="FIELD_1:func.5">emb</a> <font color="Olive" title="b2">p</font> is  <a href="mod_4.html#V7" title="MOD_4:attr.7">isomorphism</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="field_1.html#T44" target="_self" onmouseover="rs('field_1/T44')" onmouseout="rh()">Th45</a></span>;<br/></div></div>
