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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E27">Th15</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: XXREAL_2:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="membered.html#V3" title="MEMBERED:attr.3">real-membered</a>   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 <font color="Olive" title="b1">X</font> is  <a href="xxreal_2.html#V3" title="XXREAL_2:attr.3">bounded_below</a>  holds <br/> <a href="xxreal_2.html#K2" title="XXREAL_2:func.2">inf</a> <font color="Olive" title="b1">X</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> </div></div>
