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<div><span class="kw">theorem </span><a NAME="T32"><span class="comment"><font color="firebrick">:: BCIIDEAL:32</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> holds   the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">X</font> 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>
