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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">v</font> be   <a href="vectsp_2.html#NM5">Vector</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">u</font> be   <a href="vectsp_2.html#NM5">Vector</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">W</font> be    <a href="rmod_2.html#M1" target="_self">Submodule</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">w1</font> be   <a href="vectsp_2.html#NM5">Vector</a> of <font color="Maroon">W</font>;<br/><b>let </b><font color="Maroon">w2</font> be   <a href="vectsp_2.html#NM5">Vector</a> of <font color="Maroon">W</font>;<br/>













<b>assume </b><b>that </b><br/><a NAME="E1:17"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">w1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">v</font>
 <b>and </b><br/><a NAME="E2:17"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">w2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">u</font>
 ;<br/>

<a NAME="E3:17"/><i><font color="Green">E36</font></i>: 
 <a href="rlvect_1.html#K5">-</a> <font color="Maroon">w2</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K5">-</a> <font color="Maroon">u</font>
 
<b>by </b><i>, </i>;<br/>
<b>thus </b><a NAME="E4:17"/>
<font color="Maroon">w1</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font>
 <b>by </b><i>, , </i>;<br/>


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