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<div><span class="kw">theorem </span><a NAME="T56"><span class="comment"><font color="firebrick">:: XXREAL_2:56</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="membered.html#V2" title="MEMBERED:attr.2">ext-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> <br/>  for <font color="Olive" title="b2">x</font> being    <a href="xxreal_2.html#M2" title="XXREAL_2:mode.2">LowerBound</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">X</font> holds <br/><font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xxreal_2.html#K2" title="XXREAL_2:func.2">inf</a> <font color="Olive" title="b1">X</font></div></div>
