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<div><span class="kw">theorem </span><a NAME="T14"><span class="comment"><font color="firebrick">:: AOFA_I00:14</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">X</font> holds   <a href="aofa_i00.html#K22" title="AOFA_I00:func.22">.</a> <font color="Olive" title="b2">x</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="aofa_i00.html#K23" title="AOFA_I00:func.23">.</a> <span class="p1">(<span class="default"><a href="aofa_i00.html#K24" title="AOFA_I00:func.24">^</a> <font color="Olive" title="b2">x</font></span>)</span></div></div>
