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<div><span class="kw">theorem </span><a NAME="T41"><span class="comment"><font color="firebrick">:: FRECHET2:41</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>   st <font color="Olive" title="b1">T</font> is  <a href="frechet.html#V3" title="FRECHET:attr.3">Frechet</a>  holds <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><br/>  for <font color="Olive" title="b3">x</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">T</font>  st <font color="Olive" title="b3">x</font> <a href="frechet2.html#R1" title="FRECHET2:pred.1">is_a_cluster_point_of</a> <font color="Olive" title="b2">S</font> holds <br/> ex <font color="Olive" title="b4">S1</font> being    <a href="valued_0.html#M2" title="VALUED_0:mode.2">subsequence</a> of <font color="Olive" title="b2">S</font> st <font color="Olive" title="b4">S1</font> <a href="frechet.html#R1" title="FRECHET:pred.1">is_convergent_to</a> <font color="Olive" title="b3">x</font></div></div>
