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<div>:: <span class="kw">deftheorem </span>   defines <a href="frechet.html#V4" title="FRECHET:attr.4">sequential</a> <a onclick="hs(this)" href="javascript:()">FRECHET:def 7 : <br/></a><span> 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>  holds <br/> ( <font color="Olive" title="b1">T</font> is  <a href="frechet.html#V4" title="FRECHET:attr.4">sequential</a>  iff  for <font color="Olive" title="b2">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">T</font> holds <br/> ( <font color="Olive" title="b2">A</font> is  <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>  iff  for <font color="Olive" title="b3">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 <font color="Olive" title="b3">S</font> is  <a href="frechet.html#V2" title="FRECHET:attr.2">convergent</a>  &amp;  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b3">S</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">A</font> holds <br/> <a href="frechet.html#K2" title="FRECHET:func.2">Lim</a> <font color="Olive" title="b3">S</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">A</font> ) );<br/></span></div>
