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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E26">Th27</font></span>: <a NAME="T27"><span class="comment"><font color="firebrick">:: NORMSP_2:27</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a><br/>  for <font color="Olive" title="b2">S</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <span class="p1">(<span class="default"><a href="normsp_2.html#K3" title="NORMSP_2:func.3">TopSpaceNorm</a> <font color="Olive" title="b1">X</font></span>)</span><br/>  for <font color="Olive" title="b3">St</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <span class="p1">(<span class="default"><a href="normsp_2.html#K4" title="NORMSP_2:func.4">LinearTopSpaceNorm</a> <font color="Olive" title="b1">X</font></span>)</span>  st <font color="Olive" title="b2">S</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Olive" title="b3">St</font> holds <br/>( <font color="Olive" title="b3">St</font> is  <a href="frechet.html#V2" title="FRECHET:attr.2">convergent</a>  iff <font color="Olive" title="b2">S</font> is  <a href="frechet.html#V2" title="FRECHET:attr.2">convergent</a>  )</div></div>
