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<div><span class="kw">theorem </span><a NAME="T14"><span class="comment"><font color="firebrick">:: TOPMETR4:14</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">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">M</font> holds <br/> ( <font color="Olive" title="b2">S</font> is  <a href="topmetr4.html#V1" title="TOPMETR4:attr.1">sequentially_compact</a>  iff <font color="Olive" title="b1">M</font> <a href="topmetr.html#K1" title="TOPMETR:func.1">|</a> <font color="Olive" title="b2">S</font> is  <a href="topmetr.html#V2" title="TOPMETR:attr.2">compact</a>  )</div></div>
