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<b>let </b><font color="Maroon" title="c1">V</font> be   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">W</font> be    <a href="rlsub_1.html#M1" title="RLSUB_1:mode.1">Subspace</a> of <font color="Maroon" title="c1">V</font>;<br/><b>let </b><font color="Maroon" title="c3">L</font> be    <a href="rlsub_2.html#M1" title="RLSUB_2:mode.1">Linear_Compl</a> of <font color="Maroon" title="c2">W</font>;<br/>





<a NAME="E1:56"/>
<font color="Maroon" title="c1">V</font> <a href="rlsub_2.html#R1" title="RLSUB_2:pred.1">is_the_direct_sum_of</a> <font color="Maroon" title="c3">L</font>,<font color="Maroon" title="c2">W</font>
 
<b>by </b><i><a class="ref" href="rlsub_2.html#D5" target="_self" title="RLSUB_2:def.5">Def5</a></i>;<br/>
<a NAME="E2:56"/><b>then </b>
<font color="Maroon" title="c1">V</font> <a href="rlsub_2.html#R1" title="RLSUB_2:pred.1">is_the_direct_sum_of</a> <font color="Maroon" title="c2">W</font>,<font color="Maroon" title="c3">L</font>
 
<b>by </b><i><a class="txt" href="rlsub_2.html#E60"><i><font color="Green" title="E39">Lm16</font></i></a></i>;<br/>
<b>hence </b><a NAME="E3:56"/>
<font color="Maroon" title="c2">W</font> is    <a href="rlsub_2.html#M1" title="RLSUB_2:mode.1">Linear_Compl</a> of <font color="Maroon" title="c3">L</font>
 <b>by </b><i><a class="ref" href="rlsub_2.html#D5" target="_self" title="RLSUB_2:def.5">Def5</a></i>;<br/>


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