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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E42">Th47</font></span>: <a NAME="T47"><span class="comment"><font color="firebrick">:: BCIALG_1:47</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> holds <br/> ( <font color="Olive" title="b1">X</font> is  <a href="bcialg_1.html#V13" title="BCIALG_1:attr.13">associative</a>  iff  for <font color="Olive" title="b2">x</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">X</font> holds  <font color="Olive" title="b2">x</font> <a href="bcialg_1.html#K2" title="BCIALG_1:func.2">`</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">x</font> )</div></div>
