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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">u1</font>, <font color="Maroon" title="c3">v1</font>, <font color="Maroon" title="c4">w1</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="midsp_1.html#K13" title="MIDSP_1:func.13">setvect</a> <font color="Maroon" title="c1">M</font>;<br/>







<b>reconsider </b><font color="Maroon" title="c5">u</font> = <font color="Maroon" title="c2">u1</font>, <font color="Maroon" title="c6">v</font> = <font color="Maroon" title="c3">v1</font>, <font color="Maroon" title="c7">w</font> = <font color="Maroon" title="c4">w1</font> as    <a href="midsp_1.html#M1" title="MIDSP_1:mode.1">Vector</a> of <font color="Maroon" title="c1">M</font> <b>by </b><i><a class="ref" href="midsp_1.html#T71" target="_self" title="MIDSP_1:th.71">Th71</a></i>;<br/>
<a NAME="E2:65"/><i><font color="Green" title="E45">A1</font></i>: 
<font color="Maroon" title="c2">u1</font> <a href="midsp_1.html#K14" title="MIDSP_1:func.14">+</a> <font color="Maroon" title="c3">v1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">u</font> <a href="midsp_1.html#K10" title="MIDSP_1:func.10">+</a> <font color="Maroon" title="c6">v</font>
 
<b>by </b><i><a class="ref" href="midsp_1.html#D14" target="_self" title="MIDSP_1:def.14">Def14</a></i>;<br/>
<a NAME="E3:65"/><i><font color="Green" title="E46">A2</font></i>: 
<font color="Maroon" title="c3">v1</font> <a href="midsp_1.html#K14" title="MIDSP_1:func.14">+</a> <font color="Maroon" title="c4">w1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">v</font> <a href="midsp_1.html#K10" title="MIDSP_1:func.10">+</a> <font color="Maroon" title="c7">w</font>
 
<b>by </b><i><a class="ref" href="midsp_1.html#D14" target="_self" title="MIDSP_1:def.14">Def14</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><font color="Maroon" title="c2">u1</font> <a href="midsp_1.html#K14" title="MIDSP_1:func.14">+</a> <font color="Maroon" title="c3">v1</font></span>)</span> <a href="midsp_1.html#K14" title="MIDSP_1:func.14">+</a> <font color="Maroon" title="c4">w1</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c5">u</font> <a href="midsp_1.html#K10" title="MIDSP_1:func.10">+</a> <font color="Maroon" title="c6">v</font></span>)</span> <a href="midsp_1.html#K10" title="MIDSP_1:func.10">+</a> <font color="Maroon" title="c7">w</font>
<b>by </b><i><a class="txt" href="midsp_1.html#E2:65"><i><font color="Green" title="E45">A1</font></i></a>, <a class="ref" href="midsp_1.html#D14" target="_self" title="MIDSP_1:def.14">Def14</a></i>
<br/>.= 
<font color="Maroon" title="c5">u</font> <a href="midsp_1.html#K10" title="MIDSP_1:func.10">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c6">v</font> <a href="midsp_1.html#K10" title="MIDSP_1:func.10">+</a> <font color="Maroon" title="c7">w</font></span>)</span>
<b>by </b><i><a class="ref" href="midsp_1.html#T63" target="_self" title="MIDSP_1:th.63">Th63</a></i>
<br/>.= 
<font color="Maroon" title="c2">u1</font> <a href="midsp_1.html#K14" title="MIDSP_1:func.14">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">v1</font> <a href="midsp_1.html#K14" title="MIDSP_1:func.14">+</a> <font color="Maroon" title="c4">w1</font></span>)</span>
<b>by </b><i><a class="txt" href="midsp_1.html#E3:65"><i><font color="Green" title="E46">A2</font></i></a>, <a class="ref" href="midsp_1.html#D14" target="_self" title="MIDSP_1:def.14">Def14</a></i>
;<br/>


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