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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="diraf.html#NM1">AffinSpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>









<b>assume </b><a NAME="E1:19"/><i><font color="Green">E18</font></i>: 
( not  <a href="aff_1.html#R1" target="_self">LIN</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> &amp;  <a href="aff_1.html#R1" target="_self">LIN</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>5</sub></font> )
 ;<br/>

<b>assume </b><a NAME="E2:19"/><i><font color="Green">E19</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>5</sub></font>
 ;<br/>

<a NAME="E3:19"/>
 <a href="aff_1.html#R1" target="_self">LIN</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>
 
<b>by </b><i><a class="txt" href="aff_1.html#E1:19"><i><font color="Green">E18</font></i></a>, <a class="ref" href="aff_1.html#D1" target="_self">Def1</a></i>;<br/>
<a NAME="E4:19"/><b>then </b>
(  <a href="aff_1.html#R1" target="_self">LIN</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>3</sub></font> &amp;  <a href="aff_1.html#R1" target="_self">LIN</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>2</sub></font> &amp;  <a href="aff_1.html#R1" target="_self">LIN</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>4</sub></font> )
 
<b>by </b><i><a class="txt" href="aff_1.html#E1:19"><i><font color="Green">E18</font></i></a>, <a class="ref" href="aff_1.html#T15" target="_self">Th15</a>, <a class="ref" href="aff_1.html#T16" target="_self">Th16</a></i>;<br/>
<b>hence </b><a NAME="E5:19"/>
contradiction
 <b>by </b><i><a class="txt" href="aff_1.html#E1:19"><i><font color="Green">E18</font></i></a>, <a class="txt" href="aff_1.html#E2:19"><i><font color="Green">E19</font></i></a>, <a class="ref" href="aff_1.html#T17" target="_self">Th17</a></i>;<br/>


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