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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: BCIALG_3:15</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_3.html#V5" title="BCIALG_3:attr.5">BCI-weakly-commutative</a>  <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_3.html#V4" title="BCIALG_3:attr.4">BCI-commutative</a> </div></div>
