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<div><span class="kw">theorem </span><a NAME="T7"><span class="comment"><font color="firebrick">:: ALGGEO_1:7</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">n</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive" title="b3">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">R</font><br/>  for <font color="Olive" title="b4">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">n</font> holds <br/> (  <a href="hilbasis.html#K3" title="HILBASIS:func.3">1_1</a> (<font color="Olive" title="b4">i</font>,<font color="Olive" title="b1">R</font>) is   <a href="polynom1.html#NM2" title="POLYNOM1:NM.2">Polynomial</a> of <font color="Olive" title="b2">n</font>,<font color="Olive" title="b1">R</font> &amp; <font color="Olive" title="b3">a</font> <a href="polynom7.html#K4" title="POLYNOM7:func.4">|</a> (<font color="Olive" title="b2">n</font>,<font color="Olive" title="b1">R</font>) is   <a href="polynom1.html#NM2" title="POLYNOM1:NM.2">Polynomial</a> of <font color="Olive" title="b2">n</font>,<font color="Olive" title="b1">R</font> ) ;<br/></div></div>
