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<b>let </b><font color="Maroon">V</font> be   <a href="bhsp_1.html#NM1">RealUnitarySpace</a>;<br/><b>let </b><font color="Maroon">M</font> be   <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="rusub_5.html#K5" target="_self">TopUnitSpace</a> <font color="Maroon">V</font></span>)</span>;<br/>



<b>assume </b><a NAME="E1:50"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">M</font> <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K2">[#]</a> <font color="Maroon">V</font>
 ;<br/>

<a NAME="E2:50"/>
 <a href="pre_topc.html#K2">[#]</a> <span class="p1">(<span class="default"><a href="rusub_5.html#K5" target="_self">TopUnitSpace</a> <font color="Maroon">V</font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <a href="pre_topc.html#G1">TopStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">V</font>,<span class="p1">(<span class="default"><a href="rusub_5.html#K4" target="_self">Family_open_set</a> <font color="Maroon">V</font></span>)</span> #)
 
;<br/>
<b>hence </b><a NAME="E3:50"/>
( <font color="Maroon">M</font> is <a href="pre_topc.html#V3">open</a> &amp; <font color="Maroon">M</font> is <a href="pre_topc.html#V4">closed</a> )
 <b>by </b><i/>;<br/>


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