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<div><span class="kw">theorem </span><a NAME="T8"><span class="comment"><font color="firebrick">:: FRECHET2:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</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 <font color="Olive" title="b1">T</font>  st  not <font color="Olive" title="b2">S</font> is  <a href="frechet.html#V2" title="FRECHET:attr.2">convergent</a>  holds <br/> <a href="frechet.html#K2" title="FRECHET:func.2">Lim</a> <font color="Olive" title="b2">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </div></div>
