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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">W</font> be    <a href="rusub_1.html#M1" target="_self">Subspace</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">u</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">B</font> be    <a href="rusub_1.html#M2" target="_self">Coset</a> of <font color="Maroon">W</font>, <font color="Maroon">C</font> be    <a href="rusub_1.html#M2" target="_self">Coset</a> of <font color="Maroon">W</font>;<br/>







<b>assume </b><a NAME="E1:79"/><i><font color="Green">E19</font></i>: 
( <font color="Maroon">u</font> <a href="hidden.html#R2">in</a> <font color="Maroon">B</font> &amp; <font color="Maroon">u</font> <a href="hidden.html#R2">in</a> <font color="Maroon">C</font> )
 ;<br/>

<a NAME="E2:79"/><i><font color="Green">E20</font></i>: 
 ex <font color="Olive">v1</font> being  <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font> st <font color="Maroon">B</font> <a href="hidden.html#R1">=</a> <font color="Olive">v1</font> <a href="rusub_1.html#K3" target="_self">+</a> <font color="Maroon">W</font>
 
<b>by </b><i/>;<br/>
<a NAME="E3:79"/>
 ex <font color="Olive">v2</font> being  <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font> st <font color="Maroon">C</font> <a href="hidden.html#R1">=</a> <font color="Olive">v2</font> <a href="rusub_1.html#K3" target="_self">+</a> <font color="Maroon">W</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:79"/>
<font color="Maroon">B</font> <a href="hidden.html#R1">=</a> <font color="Maroon">C</font>
 <b>by </b><i>, <a class="ref" href="rusub_1.html#T14" target="_self">Th14</a>, <a class="ref" href="rusub_1.html#T9" target="_self">Th9</a></i>;<br/>


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