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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="analoaf.html#NM1">OAffinSpace</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="E1:43"/><i><font color="Green">E29</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="diraf.html#NR4" target="_self">is_collinear</a>  &amp; <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="diraf.html#R2" target="_self">'||'</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font> )
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="43_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:43_1"/><i><font color="Green">E30</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>2</sub></font>
 ;<br/><a NAME="E2:43_1"/>
<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="diraf.html#R2" target="_self">'||'</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="txt" href="diraf.html#E1:43"><i><font color="Green">E29</font></i></a>, <a class="ref" href="diraf.html#D5" target="_self">Def5</a></i>;<br/><a NAME="E3:43_1"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font> <a href="diraf.html#R2" target="_self">'||'</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>
 <b>by </b><i><a class="txt" href="diraf.html#E1:43"><i><font color="Green">E29</font></i></a>, <a class="ref" href="diraf.html#T28" target="_self">Th28</a></i>;<br/><a NAME="E4:43_1"/><b>then </b>
<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="diraf.html#R2" target="_self">'||'</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>
 <b>by </b><i><a class="ref" href="diraf.html#T27" target="_self">Th27</a></i>;<br/><a NAME="E5:43_1"/><b>then </b>
<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>5</sub></font> <a href="diraf.html#NR4" target="_self">is_collinear</a> 
 <b>by </b><i><a class="ref" href="diraf.html#D5" target="_self">Def5</a></i>;<br/><a NAME="E6:43_1"/><b>then </b>
( <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font> <a href="diraf.html#NR4" target="_self">is_collinear</a>  &amp; <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="diraf.html#NR4" target="_self">is_collinear</a>  &amp; <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="diraf.html#NR4" target="_self">is_collinear</a>  )
 <b>by </b><i><a class="txt" href="diraf.html#E1:43"><i><font color="Green">E29</font></i></a>, <a class="ref" href="diraf.html#T36" target="_self">Th36</a>, <a class="ref" href="diraf.html#T37" target="_self">Th37</a></i>;<br/><b>hence </b><a NAME="E7:43_1"/>
<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>5</sub></font> <a href="diraf.html#NR4" target="_self">is_collinear</a> 
 <b>by </b><i><a class="txt" href="diraf.html#E1:43_1"><i><font color="Green">E30</font></i></a>, <a class="ref" href="diraf.html#T38" target="_self">Th38</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:43"/>
<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>5</sub></font> <a href="diraf.html#NR4" target="_self">is_collinear</a> 
 <b>by </b><i><a class="txt" href="diraf.html#E1:43"><i><font color="Green">E29</font></i></a>, <a class="ref" href="diraf.html#D5" target="_self">Def5</a></i>;<br/>


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