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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E50">Th31</font></span>: <a NAME="T28"><span class="comment"><font color="firebrick">:: E_TRANS2:28</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">u</font> being    <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#K12" title="POLYNOM3:func.12">Polynom-Ring</a> <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a></span>)</span><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a> holds   <a href="polynom4.html#K2" title="POLYNOM4:func.2">eval</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">a</font> <a href="polynom5.html#K4" title="POLYNOM5:func.4">*</a> <span class="p2">(<span class="default"><a href="basel_2.html#K2" title="BASEL_2:func.2">~</a> <font color="Olive" title="b1">u</font></span>)</span></span>)</span>,<font color="Olive" title="b3">b</font>) <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"><a href="ring_4.html#K1" title="RING_4:func.1">{</a><span class="default"><font color="Olive" title="b2">a</font></span><a href="ring_4.html#K1" title="RING_4:func.1">}</a></span> <a href="ideal_1.html#K7" title="IDEAL_1:func.7">-Ideal</a> </div></div>
