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<div><span class="kw">theorem </span><a NAME="T25"><span class="comment"><font color="firebrick">:: METRIZTS:25</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">TM</font> being   <a href="pcomps_1.html#V3" title="PCOMPS_1:attr.3">metrizable</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a><br/>  for <font color="Olive" title="b2">Am</font>, <font color="Olive" title="b3">Bm</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">TM</font>  st <font color="Olive" title="b2">Am</font>,<font color="Olive" title="b3">Bm</font> <a href="connsp_1.html#R1" title="CONNSP_1:pred.1">are_separated</a>  holds <br/> ex <font color="Olive" title="b4">L</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">TM</font> st <font color="Olive" title="b4">L</font> <a href="metrizts.html#R2" title="METRIZTS:pred.2">separates</a> <font color="Olive" title="b2">Am</font>,<font color="Olive" title="b3">Bm</font></div></div>
