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<div><span class="kw">theorem </span><a NAME="T53"><span class="comment"><font color="firebrick">:: RING_5:53</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">R</font> being   <a href="vectsp_2.html#NM2" title="VECTSP_2:NM.2">domRing</a><br/>  for <font color="Olive" title="b2">B</font> being   non  <a href="termord.html#V1" title="TERMORD:attr.1">zero</a>  <a href="pre_poly.html#NM2" title="PRE_POLY:NM.2">bag</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b3">p</font> being    <a href="ring_5.html#M2" title="RING_5:mode.2">Ppoly</a> of <font color="Olive" title="b1">R</font>,<font color="Olive" title="b2">B</font><br/>  for <font color="Olive" title="b4">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font>  st <font color="Olive" title="b4">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="pre_poly.html#K22" title="PRE_POLY:func.22">support</a> <font color="Olive" title="b2">B</font> holds <br/> <a href="polynom4.html#K2" title="POLYNOM4:func.2">eval</a> (<font color="Olive" title="b3">p</font>,<font color="Olive" title="b4">a</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">R</font></div></div>
