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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th11</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: PROB_4:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">seq</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">sequence</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a><br/>  for <font color="Olive" title="b2">Eseq</font> being   <a href="nat_1.html#NM1" title="NAT_1:NM.1">sequence</a> of <a href="numbers.html#K6" title="NUMBERS:func.6">ExtREAL</a>  st <font color="Olive" title="b1">seq</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Olive" title="b2">Eseq</font> &amp; <font color="Olive" title="b1">seq</font> is <a href="seq_2.html#V2" title="SEQ_2:attr.2">V110</a>() holds <br/> <a href="rinfsup1.html#K2" title="RINFSUP1:func.2">lower_bound</a> <font color="Olive" title="b1">seq</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xxreal_2.html#K2" title="XXREAL_2:func.2">inf</a> <span class="p1">(<span class="default"><a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b2">Eseq</font></span>)</span></div></div>
