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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E20">Th28</font></span>: <a NAME="T28"><span class="comment"><font color="firebrick">:: C0SP3:28</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="c0sp3.html#NM1" title="C0SP3:NM.1">NormedLinearTopSpace</a><br/>  for <font color="Olive" title="b2">V</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">V</font> is  <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>  iff  for <font color="Olive" title="b3">s1</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Olive" title="b1">X</font>  st  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b3">s1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">V</font> &amp; <font color="Olive" title="b3">s1</font> is  <a href="frechet.html#V2" title="FRECHET:attr.2">convergent</a>  holds <br/> <a href="frechet2.html#K2" title="FRECHET2:func.2">lim</a> <font color="Olive" title="b3">s1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">V</font> )</div></div>
