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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E42">Th40</font></span>: <a NAME="T40"><span class="comment"><font color="firebrick">:: RINFSUP2:40</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">seq</font> being   <a href="mesfunc5.html#NM1" title="MESFUNC5:NM.1">ExtREAL_sequence</a> holds <br/> ( <font color="Olive" title="b1">seq</font> is  <a href="mesfunc5.html#V10" title="MESFUNC5:attr.10">convergent</a>  iff  <a href="rinfsup2.html#K6" title="RINFSUP2:func.6">lim_inf</a> <font color="Olive" title="b1">seq</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rinfsup2.html#K5" title="RINFSUP2:func.5">lim_sup</a> <font color="Olive" title="b1">seq</font> )</div></div>
