<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T87"><span class="comment"><font color="firebrick">:: RINFSUP1:87</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">seq</font> being   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>  st <font color="Olive" title="b1">seq</font> is  <a href="comseq_2.html#V1" title="COMSEQ_2:attr.1">bounded</a>  holds <br/> <a href="rinfsup1.html#K6" title="RINFSUP1:func.6">lim_inf</a> <font color="Olive" title="b1">seq</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="rinfsup1.html#K5" title="RINFSUP1:func.5">lim_sup</a> <font color="Olive" title="b1">seq</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="rinfsup1.html#T55" target="_self" onmouseover="rs('rinfsup1/T55')" onmouseout="rh()">Th55</a></span>;<br/></div></div>
