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<div><span class="kw">theorem </span><a NAME="T39"><span class="comment"><font color="firebrick">:: BCIALG_2:39</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="bcialg_1.html#NM1" title="BCIALG_1:NM.1">BCI-algebra</a><br/>  for <font color="Olive" title="b2">I</font> being    <a href="bcialg_1.html#M2" title="BCIALG_1:mode.2">Ideal</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">RI</font> being    <a href="bcialg_2.html#M4" title="BCIALG_2:mode.4">I-congruence</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">I</font> holds <br/> ( <font color="Olive" title="b2">I</font> is  <a href="bcialg_1.html#V12" title="BCIALG_1:attr.12">closed</a>  iff <font color="Olive" title="b2">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b3">RI</font>,<span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">X</font></span>)</span>) )</div></div>
