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<div><span class="kw">theorem </span><a NAME="T121"><span class="comment"><font color="firebrick">:: CLVECT_1:121</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">CNS</font> being   <a href="clvect_1.html#NM5" title="CLVECT_1:NM.5">ComplexNormSpace</a><br/>  for <font color="Olive" title="b2">x</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">CNS</font><br/>  for <font color="Olive" title="b3">S</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Olive" title="b1">CNS</font>  st <font color="Olive" title="b3">S</font> is  <a href="clvect_1.html#V9" title="CLVECT_1:attr.9">convergent</a>  holds <br/> <a href="clvect_1.html#K7" title="CLVECT_1:func.7">lim</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">S</font> <a href="normsp_1.html#K3" title="NORMSP_1:func.3">-</a> <font color="Olive" title="b2">x</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="clvect_1.html#K7" title="CLVECT_1:func.7">lim</a> <font color="Olive" title="b3">S</font></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <font color="Olive" title="b2">x</font></div></div>
