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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E24">defpur</font></span>   defines <a href="field_9.html#V2" title="FIELD_9:attr.2">purely_quadratic</a> <a onclick="hs(this)" href="javascript:()">FIELD_9:def 6 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a><br/>  for <font color="Olive" title="b2">p</font> being   <a href="polynom3.html#NM1" title="POLYNOM3:NM.1">Polynomial</a> of <font color="Olive" title="b1">R</font> holds <br/> ( <font color="Olive" title="b2">p</font> is  <a href="field_9.html#V2" title="FIELD_9:attr.2">purely_quadratic</a>  iff  ex <font color="Olive" title="b3">a</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 <font color="Olive" title="b1">R</font> ex <font color="Olive" title="b4">c</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="b2">p</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <span class="p1"><a href="field_9.html#K4" title="FIELD_9:func.4">&lt;%</a><span class="default"><font color="Olive" title="b4">c</font>,<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">R</font></span>)</span>,<font color="Olive" title="b3">a</font></span><a href="field_9.html#K4" title="FIELD_9:func.4">%&gt;</a></span> );<br/></span></div>
