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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E37">Th31</font></span>: <a NAME="T32"><span class="comment"><font color="firebrick">:: COMPL_SP:32</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#V6" title="METRIC_1:attr.6">Reflexive</a>   <a href="metric_1.html#V8" title="METRIC_1:attr.8">symmetric</a>   <a href="metric_1.html#V9" title="METRIC_1:attr.9">triangle</a>   <a href="metric_1.html#L1" title="METRIC_1:struct.1">MetrStruct</a>   st  <a href="pcomps_1.html#K3" title="PCOMPS_1:func.3">TopSpaceMetr</a> <font color="Olive" title="b1">M</font> is  <a href="compl_sp.html#V8" title="COMPL_SP:attr.8">countably_compact</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> </div></div>
