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<div><span class="kw">theorem </span><a NAME="T34"><span class="comment"><font color="firebrick">:: RATFUNC1:34</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="vectsp_1.html#NM5" title="VECTSP_1:NM.5">Field</a><br/>  for <font color="Olive" title="b2">p</font>, <font color="Olive" title="b3">q</font> being    <a href="ratfunc1.html#M1" title="RATFUNC1:mode.1">rational_function</a> of <font color="Olive" title="b1">L</font><br/>  for <font color="Olive" title="b4">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font>  st  <a href="polynom4.html#K2" title="POLYNOM4:func.2">eval</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="ratfunc1.html#K5" title="RATFUNC1:func.5">`2</a></span>)</span>,<font color="Olive" title="b4">x</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">L</font> &amp;  <a href="polynom4.html#K2" title="POLYNOM4:func.2">eval</a> (<span class="p1">(<span class="default"><font color="Olive" title="b3">q</font> <a href="ratfunc1.html#K5" title="RATFUNC1:func.5">`2</a></span>)</span>,<font color="Olive" title="b4">x</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">L</font> holds <br/> <a href="ratfunc1.html#K13" title="RATFUNC1:func.13">eval</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="ratfunc1.html#K10" title="RATFUNC1:func.10">*'</a> <font color="Olive" title="b3">q</font></span>)</span>,<font color="Olive" title="b4">x</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ratfunc1.html#K13" title="RATFUNC1:func.13">eval</a> (<font color="Olive" title="b2">p</font>,<font color="Olive" title="b4">x</font>)</span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><a href="ratfunc1.html#K13" title="RATFUNC1:func.13">eval</a> (<font color="Olive" title="b3">q</font>,<font color="Olive" title="b4">x</font>)</span>)</span></div></div>
