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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E16">Th16</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: LIOUVIL1:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>  <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>  st  ex <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> st <br/> for <font color="Olive" title="b3">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">k</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <font color="Olive" title="b2">n</font> holds <br/><font color="Olive" title="b1">f</font> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b3">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/> <a href="series_1.html#K4" title="SERIES_1:func.4">Sum</a> <font color="Olive" title="b1">f</font> is   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a></div></div>
