<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T10"><span class="comment"><font color="firebrick">:: COMSEQ_3:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">seq1</font>, <font color="Olive" title="b2">seq2</font> being   <a href="comseq_1.html#NM1" title="COMSEQ_1:NM.1">Complex_Sequence</a>  st <font color="Olive" title="b1">seq1</font> is  <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>  &amp; <font color="Olive" title="b2">seq2</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> <span class="p1">(<span class="default"><font color="Olive" title="b1">seq1</font> <a href="valued_1.html#K46" title="VALUED_1:func.46">-</a> <font color="Olive" title="b2">seq2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="complex1.html#K5" title="COMPLEX1:func.5">0c</a>  holds <br/> <a href="comseq_2.html#K3" title="COMSEQ_2:func.3">lim</a> <font color="Olive" title="b1">seq1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="comseq_2.html#K3" title="COMSEQ_2:func.3">lim</a> <font color="Olive" title="b2">seq2</font></div></div>
