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<div>:: <span class="kw">deftheorem </span>   defines <a href="bcialg_6.html#K6" title="BCIALG_6:func.6">Union</a> <a onclick="hs(this)" href="javascript:()">BCIALG_6:def 11 : <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> holds   <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>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="tarski.html#K3" title="TARSKI:func.3">union</a> <span class="p1"> { <span class="default"> <span class="p2">(<span class="default"><a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b4">RK</font>,<font color="Olive" title="b5">a</font>)</span>)</span> where <font color="Olive" title="b5">a</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">G</font> :  <a href="eqrel_1.html#K6" title="EQREL_1:func.6">Class</a> (<font color="Olive" title="b4">RK</font>,<font color="Olive" title="b5">a</font>) <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">X</font> <a href="bcialg_2.html#K9" title="BCIALG_2:func.9">./.</a> <font color="Olive" title="b4">RK</font></span>)</span> </span> } </span> ;<br/></span></div>
