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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th9</font></span>: <a NAME="T9"><span class="comment"><font color="firebrick">:: SEQ_4:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">r</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds <br/> (  <a href="seq_4.html#K3" title="SEQ_4:func.3">lower_bound</a> <span class="p1"><a href="seq_4.html#K1" title="SEQ_4:func.1">{</a><span class="default"><font color="Olive" title="b1">r</font></span><a href="seq_4.html#K1" title="SEQ_4:func.1">}</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">r</font> &amp;  <a href="seq_4.html#K2" title="SEQ_4:func.2">upper_bound</a> <span class="p1"><a href="seq_4.html#K1" title="SEQ_4:func.1">{</a><span class="default"><font color="Olive" title="b1">r</font></span><a href="seq_4.html#K1" title="SEQ_4:func.1">}</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">r</font> ) <span class="kw">by</span> <span class="lab"><a class="ref" href="xxreal_2.html#T11" onmouseover="rs('xxreal_2/T11')" onmouseout="rh()">XXREAL_2:11</a>, <a class="ref" href="xxreal_2.html#T13" onmouseover="rs('xxreal_2/T13')" onmouseout="rh()">XXREAL_2:13</a></span>;<br/></div></div>
