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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">Th24</font></span>: <a NAME="T25"><span class="comment"><font color="firebrick">:: LIOUVIL1:25</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being   <a href="liouvil1.html#V1" title="LIOUVIL1:attr.1">eventually-non-zero</a>  <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a><br/>  for <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <font color="Olive" title="b1">f</font> <a href="nat_1.html#K7" title="NAT_1:func.7">^\</a> <font color="Olive" title="b2">n</font> is  <a href="liouvil1.html#V1" title="LIOUVIL1:attr.1">eventually-non-zero</a> </div></div>
