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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E26">evalpl</font></span>: <a NAME="T19"><span class="comment"><font color="firebrick">:: FIELD_11:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font>, <font color="Olive" title="b2">S</font> being   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>  <a href="vectsp_2.html#NM1" title="VECTSP_2:NM.1">comRing</a><br/>  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive" title="b4">p</font>, <font color="Olive" title="b5">q</font> being   <a href="polynom1.html#NM2" title="POLYNOM1:NM.2">Polynomial</a> of <font color="Olive" title="b3">n</font>,<font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b6">x</font> being   <a href="struct_0.html#NM5" title="STRUCT_0:NM.5">Function</a> of <font color="Olive" title="b3">n</font>,<font color="Olive" title="b2">S</font>  st <font color="Olive" title="b1">R</font> is    <a href="c0sp1.html#M1" title="C0SP1:mode.1">Subring</a> of <font color="Olive" title="b2">S</font> holds <br/> <a href="field_11.html#K4" title="FIELD_11:func.4">Ext_eval</a> (<span class="p1">(<span class="default"><font color="Olive" title="b4">p</font> <a href="polynom1.html#K6" title="POLYNOM1:func.6">+</a> <font color="Olive" title="b5">q</font></span>)</span>,<font color="Olive" title="b6">x</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="field_11.html#K4" title="FIELD_11:func.4">Ext_eval</a> (<font color="Olive" title="b4">p</font>,<font color="Olive" title="b6">x</font>)</span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="field_11.html#K4" title="FIELD_11:func.4">Ext_eval</a> (<font color="Olive" title="b5">q</font>,<font color="Olive" title="b6">x</font>)</span>)</span></div></div>
