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<b>let </b><font color="Maroon">S</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">V</font> <a href="lmod_7.html#K7" target="_self">..</a> <font color="Maroon">W</font>, <font color="Maroon">T</font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">V</font> <a href="lmod_7.html#K7" target="_self">..</a> <font color="Maroon">W</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:42_1_2"/><i><font color="Green">E51</font></i>: 
for <font color="Olive">a</font> being  <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font>  st <font color="Maroon">S1</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="lmod_7.html#K8" target="_self">..</a> <font color="Maroon">W</font> holds <br/><font color="Maroon">S</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <font color="Olive">a</font></span>)</span> <a href="lmod_7.html#K8" target="_self">..</a> <font color="Maroon">W</font>
 <b>and </b><br/><a NAME="E2:42_1_2"/><i><font color="Green">E70</font></i>: 
for <font color="Olive">a</font> being  <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font>  st <font color="Maroon">S1</font> <a href="hidden.html#R1">=</a> <font color="Olive">a</font> <a href="lmod_7.html#K8" target="_self">..</a> <font color="Maroon">W</font> holds <br/><font color="Maroon">T</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <font color="Olive">a</font></span>)</span> <a href="lmod_7.html#K8" target="_self">..</a> <font color="Maroon">W</font>
 ;<br/>

<b>consider </b><font color="Maroon">a1</font> being   <a href="vectsp_1.html#NM5">Vector</a> of <font color="Maroon">V</font><b> such that </b><br/><a NAME="E4:42_1_2"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">S1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a1</font> <a href="lmod_7.html#K8" target="_self">..</a> <font color="Maroon">W</font>
 <b>by </b><i/>;<br/>
<b>thus </b><font color="Maroon">S</font> = 
<span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <font color="Maroon">a1</font></span>)</span> <a href="lmod_7.html#K8" target="_self">..</a> <font color="Maroon">W</font>
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">T</font>
<b>by </b><i>, </i>
;<br/>


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