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<div><span class="kw">theorem </span><a NAME="T33"><span class="comment"><font color="firebrick">:: SEQ_2:33</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">s</font> being   <a href="comseq_1.html#NM1" title="COMSEQ_1:NM.1">Complex_Sequence</a>  st <font color="Olive" title="b1">s</font> is  <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>  &amp;  <a href="comseq_2.html#K3" title="COMSEQ_2:func.3">lim</a> <font color="Olive" title="b1">s</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="complex1.html#K5" title="COMPLEX1:func.5">0c</a>  &amp; <font color="Olive" title="b1">s</font> is  <a href="ordinal1.html#V9" title="ORDINAL1:attr.9">non-zero</a>  holds <br/> <a href="seq_2.html#K1" title="SEQ_2:func.1">lim</a> <span class="p1"><a href="valued_1.html#K55" title="VALUED_1:func.55">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">s</font> <a href="valued_1.html#K36" title="VALUED_1:func.36">"</a></span>)</span></span><a href="valued_1.html#K55" title="VALUED_1:func.55">.|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="complex1.html#K9" title="COMPLEX1:func.9">|.</a><span class="default"><span class="p2">(<span class="default"><a href="comseq_2.html#K3" title="COMSEQ_2:func.3">lim</a> <font color="Olive" title="b1">s</font></span>)</span></span><a href="complex1.html#K9" title="COMPLEX1:func.9">.|</a></span> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </div></div>
