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<b>let </b><font color="Maroon">M</font> be   <a href="midsp_1.html#NM1">MidSp</a>;<br/><b>let </b><font color="Maroon">u</font> be    <a href="midsp_1.html#M1" target="_self">Vector</a> of <font color="Maroon">M</font>;<br/><b>let </b><font color="Maroon">v</font> be    <a href="midsp_1.html#M1" target="_self">Vector</a> of <font color="Maroon">M</font>;<br/><b>let </b><font color="Maroon">w</font> be    <a href="midsp_1.html#M1" target="_self">Vector</a> of <font color="Maroon">M</font>;<br/>







<b>consider </b><font color="Maroon">a</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">M</font>;<br/>
<b>consider </b><font color="Maroon">b</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">M</font><b> such that </b><br/><a NAME="E3:54"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">u</font> <a href="hidden.html#R1">=</a>  <a href="midsp_1.html#K11" target="_self">vect</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">c</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">M</font><b> such that </b><br/><a NAME="E5:54"/><i><font color="Green">E38</font></i>: 
<font color="Maroon">v</font> <a href="hidden.html#R1">=</a>  <a href="midsp_1.html#K11" target="_self">vect</a> <font color="Maroon">b</font>,<font color="Maroon">c</font>
 <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">d</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">M</font><b> such that </b><br/><a NAME="E7:54"/><i><font color="Green">E63</font></i>: 
<font color="Maroon">w</font> <a href="hidden.html#R1">=</a>  <a href="midsp_1.html#K11" target="_self">vect</a> <font color="Maroon">c</font>,<font color="Maroon">d</font>
 <b>by </b><i/>;<br/>
<span class="p1">(<span class="default"><font color="Maroon">u</font> <a href="midsp_1.html#K10" target="_self">+</a> <font color="Maroon">v</font></span>)</span> <a href="midsp_1.html#K10" target="_self">+</a> <font color="Maroon">w</font> = 
<span class="p1">(<span class="default"><a href="midsp_1.html#K11" target="_self">vect</a> <font color="Maroon">a</font>,<font color="Maroon">c</font></span>)</span> <a href="midsp_1.html#K10" target="_self">+</a> <font color="Maroon">w</font>
<b>by </b><i><a class="ref" href="midsp_1.html#D5" target="_self">Def5</a>, <a class="ref" href="midsp_1.html#T21" target="_self">Th21</a>, <a class="txt" href="midsp_1.html#E3:54"><i><font color="Green">E37</font></i></a></i>
<br/>.= 
 <a href="midsp_1.html#K11" target="_self">vect</a> <font color="Maroon">a</font>,<font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="midsp_1.html#T22" target="_self">Th22</a>, <a class="txt" href="midsp_1.html#E3:54"><i><font color="Green">E37</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="midsp_1.html#K11" target="_self">vect</a> <font color="Maroon">a</font>,<font color="Maroon">b</font></span>)</span> <a href="midsp_1.html#K10" target="_self">+</a> <span class="p1">(<span class="default"><a href="midsp_1.html#K11" target="_self">vect</a> <font color="Maroon">b</font>,<font color="Maroon">d</font></span>)</span>
<b>by </b><i><a class="txt" href="midsp_1.html#E3:54"><i><font color="Green">E37</font></i></a></i>
<br/>.= 
<font color="Maroon">u</font> <a href="midsp_1.html#K10" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">v</font> <a href="midsp_1.html#K10" target="_self">+</a> <font color="Maroon">w</font></span>)</span>
<b>by </b><i><a class="ref" href="midsp_1.html#D5" target="_self">Def5</a>, <a class="ref" href="midsp_1.html#T21" target="_self">Th21</a>, <a class="ref" href="midsp_1.html#T22" target="_self">Th22</a>, <a class="txt" href="midsp_1.html#E3:54"><i><font color="Green">E37</font></i></a></i>
;<br/>
<b>hence </b><a NAME="E9:54"/>
<span class="p1">(<span class="default"><font color="Maroon">u</font> <a href="midsp_1.html#K10" target="_self">+</a> <font color="Maroon">v</font></span>)</span> <a href="midsp_1.html#K10" target="_self">+</a> <font color="Maroon">w</font> <a href="hidden.html#R1">=</a> <font color="Maroon">u</font> <a href="midsp_1.html#K10" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">v</font> <a href="midsp_1.html#K10" target="_self">+</a> <font color="Maroon">w</font></span>)</span>
 ;<br/>


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