<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="rlvect_1.html#NM2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="rlsub_1.html#M1">Subspace</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="rlsub_2.html#M1" target="_self">Linear_Compl</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>





<a NAME="E1:69"/>
<font color="Maroon">c<sub>1</sub></font> <a href="rlsub_2.html#R1" target="_self">is_the_direct_sum_of</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="rlsub_2.html#T43" target="_self">Th43</a></i>;<br/>
<b>hence </b><a NAME="E2:69"/>
for <font color="Olive">b<sub>1</sub></font> being  <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">c<sub>1</sub></font> holds <br/>( <span class="p1">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="rlsub_2.html#K4" target="_self">|--</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="domain_1.html#K2">`1</a>  <a href="rlvect_1.html#R1">in</a> <font color="Maroon">c<sub>2</sub></font> &amp; <span class="p1">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="rlsub_2.html#K4" target="_self">|--</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="domain_1.html#K3">`2</a>  <a href="rlvect_1.html#R1">in</a> <font color="Maroon">c<sub>3</sub></font> )
 <b>by </b><i><a class="ref" href="rlsub_2.html#D6" target="_self">Def6</a></i>;<br/>


</div>
