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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: FRECHET2:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">M</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="metric_1.html#NM1" title="METRIC_1:NM.1">MetrSpace</a><br/>  for <font color="Olive" title="b2">Sm</font> being   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Olive" title="b1">M</font><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="pcomps_1.html#K3" title="PCOMPS_1:func.3">TopSpaceMetr</a> <font color="Olive" title="b1">M</font></span>)</span>  st <font color="Olive" title="b2">Sm</font> <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a> <font color="Olive" title="b3">St</font> &amp; <font color="Olive" title="b2">Sm</font> is  <a href="tbsp_1.html#V2" title="TBSP_1:attr.2">convergent</a>  holds <br/> <a href="tbsp_1.html#K1" title="TBSP_1:func.1">lim</a> <font color="Olive" title="b2">Sm</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="frechet2.html#K2" title="FRECHET2:func.2">lim</a> <font color="Olive" title="b3">St</font></div></div>
