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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">W1</font> be    <a href="rusub_1.html#M1">Subspace</a> of <font color="Maroon">V</font>, <font color="Maroon">W2</font> be    <a href="rusub_1.html#M1">Subspace</a> of <font color="Maroon">V</font>, <font color="Maroon">W3</font> be    <a href="rusub_1.html#M1">Subspace</a> of <font color="Maroon">V</font>;<br/>



<b>assume </b><a NAME="E1:33"/>
<font color="Maroon">W1</font> is    <a href="rusub_1.html#M1">Subspace</a> of <font color="Maroon">W2</font>
 ;<br/>

<a NAME="E2:33"/><b>then </b>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">W2</font> <a href="rusub_2.html#K2" target="_self">/\</a> <span class="p2">(<span class="default"><font color="Maroon">W1</font> <a href="rusub_2.html#K1" target="_self">+</a> <font color="Maroon">W3</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">W1</font> <a href="rusub_2.html#K2" target="_self">/\</a> <font color="Maroon">W2</font></span>)</span> <a href="rusub_2.html#K1" target="_self">+</a> <span class="p2">(<span class="default"><font color="Maroon">W2</font> <a href="rusub_2.html#K2" target="_self">/\</a> <font color="Maroon">W3</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="rusub_2.html#D2" target="_self">Def2</a></i>;<br/>
<b>hence </b><a NAME="E3:33"/>
<font color="Maroon">W2</font> <a href="rusub_2.html#K2" target="_self">/\</a> <span class="p1">(<span class="default"><font color="Maroon">W1</font> <a href="rusub_2.html#K1" target="_self">+</a> <font color="Maroon">W3</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">W1</font> <a href="rusub_2.html#K2" target="_self">/\</a> <font color="Maroon">W2</font></span>)</span> <a href="rusub_2.html#K1" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">W2</font> <a href="rusub_2.html#K2" target="_self">/\</a> <font color="Maroon">W3</font></span>)</span>
 <b>by </b><i><a class="ref" href="rusub_1.html#T24">RUSUB_1:24</a></i>;<br/>


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