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<b>let </b><font color="Maroon">SAS</font> be   <a href="semi_af1.html#NM1">Semi_Affine_Space</a>;<br/><b>let </b><font color="Maroon">a1</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font>;<br/><b>let </b><font color="Maroon">a2</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font>;<br/><b>let </b><font color="Maroon">a3</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">SAS</font>;<br/>







<b>assume </b><a NAME="E1:22"/>
<font color="Maroon">a1</font>,<font color="Maroon">a2</font>,<font color="Maroon">a3</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a> 
 ;<br/>

<a NAME="E2:22"/><b>then </b>
<font color="Maroon">a1</font>,<font color="Maroon">a2</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">a1</font>,<font color="Maroon">a3</font>
 
<b>by </b><i/>;<br/>
<a NAME="E3:22"/><b>then </b>
( <font color="Maroon">a1</font>,<font color="Maroon">a3</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">a1</font>,<font color="Maroon">a2</font> &amp; <font color="Maroon">a2</font>,<font color="Maroon">a1</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">a2</font>,<font color="Maroon">a3</font> &amp; <font color="Maroon">a2</font>,<font color="Maroon">a3</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">a2</font>,<font color="Maroon">a1</font> &amp; <font color="Maroon">a3</font>,<font color="Maroon">a2</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">a3</font>,<font color="Maroon">a1</font> &amp; <font color="Maroon">a3</font>,<font color="Maroon">a1</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">a3</font>,<font color="Maroon">a2</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:22"/>
( <font color="Maroon">a1</font>,<font color="Maroon">a3</font>,<font color="Maroon">a2</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a>  &amp; <font color="Maroon">a2</font>,<font color="Maroon">a1</font>,<font color="Maroon">a3</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a>  &amp; <font color="Maroon">a2</font>,<font color="Maroon">a3</font>,<font color="Maroon">a1</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a>  &amp; <font color="Maroon">a3</font>,<font color="Maroon">a1</font>,<font color="Maroon">a2</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a>  &amp; <font color="Maroon">a3</font>,<font color="Maroon">a2</font>,<font color="Maroon">a1</font> <a href="semi_af1.html#R1" target="_self">is_collinear</a>  )
 <b>by </b><i/>;<br/>


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