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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E34">Th28</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: LIOUVIL1:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being   <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</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><br/>  for <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">n</font>, <font color="Olive" title="b4">k</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">b</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  &amp; <font color="Olive" title="b4">k</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">n</font> holds <br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="liouvil1.html#K4" title="LIOUVIL1:func.4">Liouville_seq</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>)</span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b4">k</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="liouvil1.html#K6" title="LIOUVIL1:func.6">BLiouville_seq</a> <font color="Olive" title="b2">b</font></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b3">n</font></span>)</span> is   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a></div></div>
