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<div>:: <span class="kw">deftheorem </span>   defines <a href="bcialg_6.html#K10" title="BCIALG_6:func.10">\</a> <a onclick="hs(this)" href="javascript:()">BCIALG_6:def 15 : <br/></a><span> 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><br/>  for <font color="Olive" title="b5">w1</font>, <font color="Olive" title="b6">w2</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="bcialg_6.html#K6" title="BCIALG_6:func.6">Union</a> (<font color="Olive" title="b2">G</font>,<font color="Olive" title="b4">RK</font>) holds  <font color="Olive" title="b5">w1</font> <a href="bcialg_6.html#K10" title="BCIALG_6:func.10">\</a> <font color="Olive" title="b6">w2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="bcialg_6.html#K7" title="BCIALG_6:func.7">HKOp</a> (<font color="Olive" title="b2">G</font>,<font color="Olive" title="b4">RK</font>)</span>)</span> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b5">w1</font>,<font color="Olive" title="b6">w2</font>);<br/></span></div>
