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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E34">Th35</font></span>: <a NAME="T35"><span class="comment"><font color="firebrick">:: TOPDIM_1:35</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a>  st <font color="Olive" title="b1">T</font> is  <a href="pre_topc.html#V7" title="PRE_TOPC:attr.7">T_1</a>  &amp; <font color="Olive" title="b1">T</font> is  <a href="metrizts.html#V1" title="METRIZTS:attr.1">Lindelof</a>  holds <br/>( ( <font color="Olive" title="b1">T</font> is  <a href="topdim_1.html#NV6" title="TOPDIM_1:NV.6">finite-ind</a>  &amp;  <a href="topdim_1.html#K4" title="TOPDIM_1:func.4">ind</a> <font color="Olive" title="b1">T</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  ) iff  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">B</font> being   <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">T</font>  st <font color="Olive" title="b2">A</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a> <font color="Olive" title="b3">B</font> holds <br/> <a href="struct_0.html#K1" title="STRUCT_0:func.1">{}</a> <font color="Olive" title="b1">T</font> <a href="metrizts.html#R2" title="METRIZTS:pred.2">separates</a> <font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">B</font> )</div></div>
