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<div><span class="kw">theorem </span><a NAME="T13"><span class="comment"><font color="firebrick">:: E_TRANS1:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a>  st <font color="Olive" title="b1">x</font> is  <a href="irrat_1.html#NV1" title="IRRAT_1:NV.1">irrational</a>  holds <br/> for <font color="Olive" title="b2">g</font> being   non  <a href="ratfunc1.html#NV1" title="RATFUNC1:NV.1">zero</a>  <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <a href="gaussint.html#K11" title="GAUSSINT:func.11">F_Rat</a>  st  <a href="algnum_1.html#K1" title="ALGNUM_1:func.1">Ext_eval</a> (<font color="Olive" title="b2">g</font>,<font color="Olive" title="b1">x</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/> <a href="field_1.html#K1" title="FIELD_1:func.1">deg</a> <font color="Olive" title="b2">g</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 2</div></div>
