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<div><span class="kw">theorem </span><a NAME="T24"><span class="comment"><font color="firebrick">:: BCIIDEAL:24</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="bcialg_1.html#NM2" title="BCIALG_1:NM.2">BCK-algebra</a>  st <font color="Olive" title="b1">X</font> is   <a href="bcialg_1.html#V19" title="BCIALG_1:attr.19">p-Semisimple</a>  <a href="bcialg_1.html#NM1" title="BCIALG_1:NM.1">BCI-algebra</a> holds <br/><span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Olive" title="b1">X</font></span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> is   <a href="bciideal.html#V3" title="BCIIDEAL:attr.3">commutative</a>   <a href="bcialg_1.html#M2" title="BCIALG_1:mode.2">Ideal</a> of <font color="Olive" title="b1">X</font></div></div>
