<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="topzari1.html#K3" title="TOPZARI1:func.3">Ideals</a> <a onclick="hs(this)" href="javascript:()">TOPZARI1:def 4 : <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">J</font> being   <a href="subset_1.html#V1" title="SUBSET_1:attr.1">proper</a>  <a href="ideal_1.html#NM1" title="IDEAL_1:NM.1">Ideal</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b3">f</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">A</font> holds   <a href="topzari1.html#K3" title="TOPZARI1:func.3">Ideals</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">J</font>,<font color="Olive" title="b3">f</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b4">I</font> where <font color="Olive" title="b4">I</font> is   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">A</font> : ( <font color="Olive" title="b4">I</font> is   <a href="subset_1.html#V1" title="SUBSET_1:attr.1">proper</a>  <a href="ideal_1.html#NM1" title="IDEAL_1:NM.1">Ideal</a> of <font color="Olive" title="b1">A</font> &amp; <font color="Olive" title="b2">J</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">I</font> &amp; <font color="Olive" title="b4">I</font> <a href="ideal_1.html#K13" title="IDEAL_1:func.13">/\</a> <span class="p1">(<span class="default"><a href="topzari1.html#K2" title="TOPZARI1:func.2">multClSet</a> (<font color="Olive" title="b2">J</font>,<font color="Olive" title="b3">f</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  ) </span> } </span> ;<br/></span></div>
