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<div><span class="kw">theorem </span><a NAME="T35"><span class="comment"><font color="firebrick">:: CLVECT_2:35</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">x</font>, <font color="Olive" title="b3">g</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b4">seq</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="b4">seq</font> is  <a href="clvect_2.html#V1" title="CLVECT_2:attr.1">convergent</a>  &amp;  <a href="clvect_2.html#K1" title="CLVECT_2:func.1">lim</a> <font color="Olive" title="b4">seq</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">g</font> holds <br/>( <span class="p1"><a href="clvect_2.html#K2" title="CLVECT_2:func.2">||.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b4">seq</font> <a href="normsp_1.html#K3" title="NORMSP_1:func.3">-</a> <font color="Olive" title="b2">x</font></span>)</span> <a href="normsp_1.html#K3" title="NORMSP_1:func.3">-</a> <span class="p3">(<span class="default"><font color="Olive" title="b3">g</font> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <font color="Olive" title="b2">x</font></span>)</span></span>)</span></span><a href="clvect_2.html#K2" title="CLVECT_2:func.2">.||</a></span> is  <a href="comseq_2.html#V2" title="COMSEQ_2:attr.2">convergent</a>  &amp;  <a href="seq_2.html#K1" title="SEQ_2:func.1">lim</a> <span class="p1"><a href="clvect_2.html#K2" title="CLVECT_2:func.2">||.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b4">seq</font> <a href="normsp_1.html#K3" title="NORMSP_1:func.3">-</a> <font color="Olive" title="b2">x</font></span>)</span> <a href="normsp_1.html#K3" title="NORMSP_1:func.3">-</a> <span class="p3">(<span class="default"><font color="Olive" title="b3">g</font> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <font color="Olive" title="b2">x</font></span>)</span></span>)</span></span><a href="clvect_2.html#K2" title="CLVECT_2:func.2">.||</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  )</div></div>
