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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: TOPMETR4:12</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> holds <br/> ( ( <font color="Olive" title="b1">M</font> is  <a href="tbsp_1.html#V1" title="TBSP_1:attr.1">totally_bounded</a>  &amp; <font color="Olive" title="b1">M</font> is  <a href="tbsp_1.html#V4" title="TBSP_1:attr.4">complete</a>  ) iff <font color="Olive" title="b1">M</font> is  <a href="topmetr4.html#V2" title="TOPMETR4:attr.2">sequentially_compact</a>  )</div></div>
