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<b>let </b><font color="Maroon">R</font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">V</font> be   <a href="vectsp_2.html#NM7">RightMod</a> of <font color="Maroon">R</font>;<br/><b>let </b><font color="Maroon">A</font> be   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">L1</font> be    <a href="rmod_4.html#M1" target="_self">Linear_Combination</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">L2</font> be    <a href="rmod_4.html#M1" target="_self">Linear_Combination</a> of <font color="Maroon">V</font>;<br/>









<b>assume </b><b>that </b><br/><a NAME="E1:67"/><i><font color="Green">E48</font></i>: 
<font color="Maroon">L1</font> is    <a href="rmod_4.html#M2" target="_self">Linear_Combination</a> of <font color="Maroon">A</font>
 <b>and </b><br/><a NAME="E2:67"/><i><font color="Green">E49</font></i>: 
<font color="Maroon">L2</font> is    <a href="rmod_4.html#M2" target="_self">Linear_Combination</a> of <font color="Maroon">A</font>
 ;<br/>

<a NAME="E3:67"/><i><font color="Green">E50</font></i>: 
 <a href="rmod_4.html#K8" target="_self">-</a> <font color="Maroon">L2</font> is    <a href="rmod_4.html#M2" target="_self">Linear_Combination</a> of <font color="Maroon">A</font>
 
<b>by </b><i>, </i>;<br/>
<b>thus </b><a NAME="E4:67"/>
<font color="Maroon">L1</font> <a href="rmod_4.html#K9" target="_self">-</a> <font color="Maroon">L2</font> is    <a href="rmod_4.html#M2" target="_self">Linear_Combination</a> of <font color="Maroon">A</font>
 <b>by </b><i>, , </i>;<br/>


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