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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E33">LMXFIN20A</font></span>: <a NAME="T36"><span class="comment"><font color="firebrick">:: ASYMPT_2:36</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">c</font> being   <a href="afinsq_1.html#NM2" title="AFINSQ_1:NM.2">XFinSequence</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>   st  <a href="afinsq_1.html#K1" title="AFINSQ_1:func.1">len</a> <font color="Olive" title="b2">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">k</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 &amp;  <a href="asympt_2.html#K2" title="ASYMPT_2:func.2">seq_p</a> <font color="Olive" title="b2">c</font> is  <a href="asympt_0.html#V2" title="ASYMPT_0:attr.2">eventually-nonnegative</a>  holds <br/> <a href="asympt_2.html#K2" title="ASYMPT_2:func.2">seq_p</a> <font color="Olive" title="b2">c</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="asympt_0.html#K6" title="ASYMPT_0:func.6">Big_Oh</a> <span class="p1">(<span class="default"><a href="asympt_1.html#K3" title="ASYMPT_1:func.3">seq_n^</a> <font color="Olive" title="b1">k</font></span>)</span></div></div>
