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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E60">Th37</font></span>: <a NAME="T34"><span class="comment"><font color="firebrick">:: E_TRANS2:34</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being   <a href="int_2.html#V1" title="INT_2:attr.1">prime</a>   <a href="abian.html#NV2" title="ABIAN:NV.2">odd</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">m</font> being   <a href="xxreal_0.html#V2" title="XXREAL_0:attr.2">positive</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">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="int_3.html#K1" title="INT_3:func.1">INT.Ring</a>  st  <a href="field_1.html#K1" title="FIELD_1:func.1">deg</a> <font color="Olive" title="b3">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">m</font> holds <br/> for <font color="Olive" title="b4">x</font> being   non  <a href="struct_0.html#V9" title="STRUCT_0:attr.9">zero</a>  <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> holds   <a href="rlvect_1.html#K4" title="RLVECT_1:func.4">Sum</a> <span class="p1">(<span class="default"><a href="e_trans2.html#K7" title="E_TRANS2:func.7">delta_2</a> (<font color="Olive" title="b2">m</font>,<font color="Olive" title="b1">p</font>,<font color="Olive" title="b3">g</font>,<font color="Olive" title="b4">x</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">g</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="e_trans1.html#K9" title="E_TRANS1:func.9">'F'</a> <span class="p4">(<span class="default"><a href="e_trans2.html#K5" title="E_TRANS2:func.5">f_0</a> (<font color="Olive" title="b2">m</font>,<font color="Olive" title="b1">p</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="algnum_1.html#K1" title="ALGNUM_1:func.1">Ext_eval</a> (<font color="Olive" title="b3">g</font>,<font color="Olive" title="b4">x</font>)</span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="e_trans1.html#K9" title="E_TRANS1:func.9">'F'</a> <span class="p4">(<span class="default"><a href="e_trans2.html#K5" title="E_TRANS2:func.5">f_0</a> (<font color="Olive" title="b2">m</font>,<font color="Olive" title="b1">p</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span></span>)</span></div></div>
