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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E41">Th54</font></span>: <a NAME="T55"><span class="comment"><font color="firebrick">:: BCIALG_6:55</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">G</font> being    <a href="bcialg_1.html#M1" title="BCIALG_1:mode.1">SubAlgebra</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">K</font> being   <a href="bcialg_1.html#V12" title="BCIALG_1:attr.12">closed</a>   <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="b4">RK</font> being    <a href="bcialg_2.html#M5" title="BCIALG_2:mode.5">I-congruence</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b3">K</font> holds   <a href="bcialg_6.html#K9" title="BCIALG_6:func.9">HK</a> (<font color="Olive" title="b2">G</font>,<font color="Olive" title="b4">RK</font>) is   <a href="bcialg_1.html#NM1" title="BCIALG_1:NM.1">BCI-algebra</a></div></div>
