<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th13</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: CLVECT_2:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="csspace.html#NM1" title="CSSPACE:NM.1">ComplexUnitarySpace</a><br/>  for <font color="Olive" title="b2">seq1</font>, <font color="Olive" title="b3">seq2</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b2">seq1</font> is  <a href="clvect_2.html#V1" title="CLVECT_2:attr.1">convergent</a>  &amp; <font color="Olive" title="b3">seq2</font> is  <a href="clvect_2.html#V1" title="CLVECT_2:attr.1">convergent</a>  holds <br/> <a href="clvect_2.html#K1" title="CLVECT_2:func.1">lim</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">seq1</font> <a href="csspace.html#K14" title="CSSPACE:func.14">+</a> <font color="Olive" title="b3">seq2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="clvect_2.html#K1" title="CLVECT_2:func.1">lim</a> <font color="Olive" title="b2">seq1</font></span>)</span> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <span class="p1">(<span class="default"><a href="clvect_2.html#K1" title="CLVECT_2:func.1">lim</a> <font color="Olive" title="b3">seq2</font></span>)</span></div></div>
