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<div><span class="kw">theorem </span><a NAME="T43"><span class="comment"><font color="firebrick">:: RUSUB_5:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="bhsp_1.html#NM1" title="BHSP_1:NM.1">RealUnitarySpace</a><br/>  for <font color="Olive" title="b2">M</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="rusub_5.html#K5" title="RUSUB_5:func.5">TopUnitSpace</a> <font color="Olive" title="b1">V</font></span>)</span>  st <font color="Olive" title="b2">M</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="struct_0.html#K1" title="STRUCT_0:func.1">{}</a> <font color="Olive" title="b1">V</font> holds <br/>( <font color="Olive" title="b2">M</font> is  <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  &amp; <font color="Olive" title="b2">M</font> is  <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>  ) ;<br/></div></div>
