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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: E_TRANS1:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x0</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><br/>  for <font color="Olive" title="b2">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><br/>  for <font color="Olive" title="b3">F</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</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>  st <font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">x0</font> holds <br/><span class="p1">(<span class="default"><a href="polydiff.html#K5" title="POLYDIFF:func.5">Eval</a> <span class="p2">(<span class="default"><a href="basel_2.html#K2" title="BASEL_2:func.2">~</a> <span class="p3">(<span class="default"><a href="e_trans1.html#K5" title="E_TRANS1:func.5">^</a> <span class="p4">(<span class="default"><a href="rlvect_1.html#K4" title="RLVECT_1:func.4">Sum</a> <font color="Olive" title="b3">F</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rlvect_1.html#K4" title="RLVECT_1:func.4">Sum</a> <span class="p1">(<span class="default"><a href="e_trans1.html#K7" title="E_TRANS1:func.7">eval</a> (<font color="Olive" title="b3">F</font>,<font color="Olive" title="b1">x0</font>)</span>)</span></div></div>
