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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/>

<a NAME="E1:58"/>
( <font color="Maroon">c<sub>1</sub></font> <a href="rusub_2.html#R1" target="_self">is_the_direct_sum_of</a>  <a href="rusub_1.html#K1">(0).</a> <font color="Maroon">c<sub>1</sub></font>, <a href="rusub_1.html#K2">(Omega).</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="rusub_2.html#R1" target="_self">is_the_direct_sum_of</a>  <a href="rusub_1.html#K2">(Omega).</a> <font color="Maroon">c<sub>1</sub></font>, <a href="rusub_1.html#K1">(0).</a> <font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="ref" href="rusub_2.html#T39" target="_self">Th39</a></i>;<br/>
<b>hence </b><a NAME="E2:58"/>
(  <a href="rusub_1.html#K1">(0).</a> <font color="Maroon">c<sub>1</sub></font> is    <a href="rusub_2.html#M1" target="_self">Linear_Compl</a> of  <a href="rusub_1.html#K2">(Omega).</a> <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="rusub_1.html#K2">(Omega).</a> <font color="Maroon">c<sub>1</sub></font> is    <a href="rusub_2.html#M1" target="_self">Linear_Compl</a> of  <a href="rusub_1.html#K1">(0).</a> <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="ref" href="rusub_2.html#D5" target="_self">Def5</a></i>;<br/>


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