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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: YELLOW_1:15</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>   st  <a href="yellow_1.html#K1" title="YELLOW_1:func.1">InclPoset</a> <font color="Olive" title="b1">X</font> is  <a href="yellow_0.html#V2" title="YELLOW_0:attr.2">upper-bounded</a>  holds <br/> <a href="tarski.html#K3" title="TARSKI:func.3">union</a> <font color="Olive" title="b1">X</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font></div></div>
