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<div>:: <span class="kw">deftheorem </span>   defines <a href="ringfrac.html#K19" title="RINGFRAC:func.19">Loc-Ideal</a> <a onclick="hs(this)" href="javascript:()">RINGFRAC:def 22 : <br/></a><span> for <font color="Olive" title="b1">A</font> being   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</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="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="topzari1.html#K5" title="TOPZARI1:func.5">Spectrum</a> <font color="Olive" title="b1">A</font> holds   <a href="ringfrac.html#K19" title="RINGFRAC:func.19">Loc-Ideal</a> <font color="Olive" title="b2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b3">y</font> where <font color="Olive" title="b3">y</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">A</font> <a href="ringfrac.html#K18" title="RINGFRAC:func.18">~</a> <font color="Olive" title="b2">p</font></span>)</span> :  ex <font color="Olive" title="b4">a</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ringfrac.html#K6" title="RINGFRAC:func.6">Frac</a> <span class="p1">(<span class="default"><a href="ringfrac.html#K17" title="RINGFRAC:func.17">Loc</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">p</font>)</span>)</span> st <br/>( <font color="Olive" title="b4">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Olive" title="b2">p</font>,<span class="p2">(<span class="default"><a href="ringfrac.html#K17" title="RINGFRAC:func.17">Loc</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">p</font>)</span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> &amp; <font color="Olive" title="b3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<span class="p1">(<span class="default"><a href="ringfrac.html#K12" title="RINGFRAC:func.12">EqRel</a> <span class="p2">(<span class="default"><a href="ringfrac.html#K17" title="RINGFRAC:func.17">Loc</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">p</font>)</span>)</span></span>)</span>,<font color="Olive" title="b4">a</font>) ) </span> } </span> ;<br/></span></div>
