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<div><span class="kw">theorem </span><a NAME="T32"><span class="comment"><font color="firebrick">:: BCIALG_2:32</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#NM2" title="BCIALG_1:NM.2">BCK-algebra</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 <br/> (  <a href="bcialg_2.html#K2" title="BCIALG_2:func.2">ord</a> <font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp; <font color="Olive" title="b2">x</font> is  <a href="bcialg_2.html#V5" title="BCIALG_2:attr.5">nilpotent</a>  ) )</div></div>
