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<div><span class="kw">theorem </span><a NAME="T7"><span class="comment"><font color="firebrick">:: PCOMPS_2:7</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">PT</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>  st <font color="Olive" title="b1">PT</font> is  <a href="pcomps_1.html#V3" title="PCOMPS_1:attr.3">metrizable</a>  holds <br/><font color="Olive" title="b1">PT</font> is  <a href="pcomps_1.html#V2" title="PCOMPS_1:attr.2">paracompact</a> </div></div>
