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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E15">Th16</font></span>: <a NAME="T16"><span class="comment"><font color="firebrick">:: FRECHET2:16</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><br/>  for <font color="Olive" title="b3">S1</font> being    <a href="valued_0.html#M2" title="VALUED_0:mode.2">subsequence</a> of <font color="Olive" title="b2">S</font> holds   <a href="frechet.html#K2" title="FRECHET:func.2">Lim</a> <font color="Olive" title="b2">S</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="frechet.html#K2" title="FRECHET:func.2">Lim</a> <font color="Olive" title="b3">S1</font></div></div>
