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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E43">Th25</font></span>: <a NAME="T22"><span class="comment"><font color="firebrick">:: E_TRANS2:22</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">j</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">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> holds   <a href="polynom4.html#K2" title="POLYNOM4:func.2">eval</a> (<span class="p1">(<span class="default"><a href="basel_2.html#K2" title="BASEL_2:func.2">~</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="e_trans2.html#K2" title="E_TRANS2:func.2">tau</a> <font color="Olive" title="b1">j</font></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <font color="Olive" title="b2">u</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="struct_0.html#K9" title="STRUCT_0:func.9">In</a> (<font color="Olive" title="b1">j</font>,<a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="int_3.html#K1" title="INT_3:func.1">INT.Ring</a></div></div>
