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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="bhsp_1.html#NM1">RealUnitarySpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></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">c<sub>1</sub></font></span>)</span>;<br/>



<b>assume </b><a NAME="E1:50"/><i><font color="Green">E30</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K2">[#]</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

 <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">c<sub>1</sub></font></span>)</span> = 
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="rusub_5.html#K5" target="_self">TopUnitSpace</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>

<br/>.= 
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">c<sub>1</sub></font>,<span class="p1">(<span class="default"><a href="rusub_5.html#K4" target="_self">Family_open_set</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> #)

;<br/>
<b>hence </b><a NAME="E3:50"/>
( <font color="Maroon">c<sub>2</sub></font> is <a href="pre_topc.html#V3">open</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="pre_topc.html#V4">closed</a> )
 <b>by </b><i><a class="txt" href="rusub_5.html#E1:50"><i><font color="Green">E30</font></i></a></i>;<br/>


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