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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E68">Th78</font></span>: <a NAME="T78"><span class="comment"><font color="firebrick">:: XXREAL_2:78</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</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>   non  <a href="xxreal_2.html#V1" title="XXREAL_2:attr.1">left_end</a>   non  <a href="xxreal_2.html#V2" title="XXREAL_2:attr.2">right_end</a>   <a href="xxreal_2.html#V6" title="XXREAL_2:attr.6">interval</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds  <font color="Olive" title="b1">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="xxreal_1.html#K4" title="XXREAL_1:func.4">].</a><span class="default"><span class="p2">(<span class="default"><a href="xxreal_2.html#K2" title="XXREAL_2:func.2">inf</a> <font color="Olive" title="b1">A</font></span>)</span>,<span class="p2">(<span class="default"><a href="xxreal_2.html#K1" title="XXREAL_2:func.1">sup</a> <font color="Olive" title="b1">A</font></span>)</span></span><a href="xxreal_1.html#K4" title="XXREAL_1:func.4">.[</a></span></div></div>
