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<b>let </b><font color="Maroon" title="c1">M</font> be   <a href="midsp_1.html#NM1" title="MIDSP_1:NM.1">MidSp</a>;<br/><b>let </b><font color="Maroon" title="c2">u</font>, <font color="Maroon" title="c3">v</font>, <font color="Maroon" title="c4">w</font> be    <a href="midsp_1.html#M1" title="MIDSP_1:mode.1">Vector</a> of <font color="Maroon" title="c1">M</font>;<br/>







<b>consider </b><font color="Maroon" title="c5">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">M</font>;<br/>
<b>consider </b><font color="Maroon" title="c6">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">M</font><b> such that </b><br/><a NAME="E3:52"/><i><font color="Green" title="E37">A1</font></i>: 
<font color="Maroon" title="c2">u</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="midsp_1.html#K10" title="MIDSP_1:func.10">vect</a> <font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c6">b</font>
 <b>by </b><i><a class="ref" href="midsp_1.html#T55" target="_self" title="MIDSP_1:th.55">Th55</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c7">c</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">M</font><b> such that </b><br/><a NAME="E5:52"/><i><font color="Green" title="E38">A2</font></i>: 
<font color="Maroon" title="c3">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="midsp_1.html#K10" title="MIDSP_1:func.10">vect</a> <font color="Maroon" title="c6">b</font>,<font color="Maroon" title="c7">c</font>
 <b>by </b><i><a class="ref" href="midsp_1.html#T55" target="_self" title="MIDSP_1:th.55">Th55</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c8">d</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">M</font><b> such that </b><br/><a NAME="E7:52"/><i><font color="Green" title="E39">A3</font></i>: 
<font color="Maroon" title="c4">w</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="midsp_1.html#K10" title="MIDSP_1:func.10">vect</a> <font color="Maroon" title="c7">c</font>,<font color="Maroon" title="c8">d</font>
 <b>by </b><i><a class="ref" href="midsp_1.html#T55" target="_self" title="MIDSP_1:th.55">Th55</a></i>;<br/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">u</font> <a href="midsp_1.html#K9" title="MIDSP_1:func.9">+</a> <font color="Maroon" title="c3">v</font></span>)</span> <a href="midsp_1.html#K9" title="MIDSP_1:func.9">+</a> <font color="Maroon" title="c4">w</font> = 
<span class="p1">(<span class="default"><a href="midsp_1.html#K10" title="MIDSP_1:func.10">vect</a> <font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c7">c</font></span>)</span> <a href="midsp_1.html#K9" title="MIDSP_1:func.9">+</a> <font color="Maroon" title="c4">w</font>
<b>by </b><i><a class="txt" href="midsp_1.html#E3:52"><i><font color="Green" title="E37">A1</font></i></a>, <a class="txt" href="midsp_1.html#E5:52"><i><font color="Green" title="E38">A2</font></i></a>, <a class="ref" href="midsp_1.html#T60" target="_self" title="MIDSP_1:th.60">Th60</a></i>
<br/>.= 
 <a href="midsp_1.html#K10" title="MIDSP_1:func.10">vect</a> <font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c8">d</font>
<b>by </b><i><a class="txt" href="midsp_1.html#E7:52"><i><font color="Green" title="E39">A3</font></i></a>, <a class="ref" href="midsp_1.html#T60" target="_self" title="MIDSP_1:th.60">Th60</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="midsp_1.html#K10" title="MIDSP_1:func.10">vect</a> <font color="Maroon" title="c5">a</font>,<font color="Maroon" title="c6">b</font></span>)</span> <a href="midsp_1.html#K9" title="MIDSP_1:func.9">+</a> <span class="p1">(<span class="default"><a href="midsp_1.html#K10" title="MIDSP_1:func.10">vect</a> <font color="Maroon" title="c6">b</font>,<font color="Maroon" title="c8">d</font></span>)</span>
<b>by </b><i><a class="ref" href="midsp_1.html#T60" target="_self" title="MIDSP_1:th.60">Th60</a></i>
<br/>.= 
<font color="Maroon" title="c2">u</font> <a href="midsp_1.html#K9" title="MIDSP_1:func.9">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">v</font> <a href="midsp_1.html#K9" title="MIDSP_1:func.9">+</a> <font color="Maroon" title="c4">w</font></span>)</span>
<b>by </b><i><a class="txt" href="midsp_1.html#E3:52"><i><font color="Green" title="E37">A1</font></i></a>, <a class="txt" href="midsp_1.html#E5:52"><i><font color="Green" title="E38">A2</font></i></a>, <a class="txt" href="midsp_1.html#E7:52"><i><font color="Green" title="E39">A3</font></i></a>, <a class="ref" href="midsp_1.html#T60" target="_self" title="MIDSP_1:th.60">Th60</a></i>
;<br/>
<b>hence </b><a NAME="E9:52"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c2">u</font> <a href="midsp_1.html#K9" title="MIDSP_1:func.9">+</a> <font color="Maroon" title="c3">v</font></span>)</span> <a href="midsp_1.html#K9" title="MIDSP_1:func.9">+</a> <font color="Maroon" title="c4">w</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">u</font> <a href="midsp_1.html#K9" title="MIDSP_1:func.9">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">v</font> <a href="midsp_1.html#K9" title="MIDSP_1:func.9">+</a> <font color="Maroon" title="c4">w</font></span>)</span>
 ;<br/>


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