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<b>let </b><font color="Maroon" title="c1">SAS</font> be   <a href="semi_af1.html#NM1" title="SEMI_AF1:NM.1">Semi_Affine_Space</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">a1</font>, <font color="Olive" title="b2">a2</font>, <font color="Olive" title="b3">a3</font>, <font color="Olive" title="b4">a4</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">SAS</font>  st  <a href="semi_af1.html#R2" title="SEMI_AF1:pred.2">parallelogram</a> <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b2">a2</font>,<font color="Olive" title="b3">a3</font>,<font color="Olive" title="b4">a4</font> holds <br/>( not <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b2">a2</font>,<font color="Olive" title="b3">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b3">a3</font>,<font color="Olive" title="b2">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b2">a2</font>,<font color="Olive" title="b4">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b4">a4</font>,<font color="Olive" title="b2">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b3">a3</font>,<font color="Olive" title="b4">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b1">a1</font>,<font color="Olive" title="b4">a4</font>,<font color="Olive" title="b3">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b2">a2</font>,<font color="Olive" title="b1">a1</font>,<font color="Olive" title="b3">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b2">a2</font>,<font color="Olive" title="b3">a3</font>,<font color="Olive" title="b1">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b2">a2</font>,<font color="Olive" title="b1">a1</font>,<font color="Olive" title="b4">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b2">a2</font>,<font color="Olive" title="b4">a4</font>,<font color="Olive" title="b1">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b2">a2</font>,<font color="Olive" title="b3">a3</font>,<font color="Olive" title="b4">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b2">a2</font>,<font color="Olive" title="b4">a4</font>,<font color="Olive" title="b3">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b3">a3</font>,<font color="Olive" title="b1">a1</font>,<font color="Olive" title="b2">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b3">a3</font>,<font color="Olive" title="b2">a2</font>,<font color="Olive" title="b1">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b3">a3</font>,<font color="Olive" title="b1">a1</font>,<font color="Olive" title="b4">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b3">a3</font>,<font color="Olive" title="b4">a4</font>,<font color="Olive" title="b1">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b3">a3</font>,<font color="Olive" title="b2">a2</font>,<font color="Olive" title="b4">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b3">a3</font>,<font color="Olive" title="b4">a4</font>,<font color="Olive" title="b2">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b4">a4</font>,<font color="Olive" title="b1">a1</font>,<font color="Olive" title="b2">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b4">a4</font>,<font color="Olive" title="b2">a2</font>,<font color="Olive" title="b1">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b4">a4</font>,<font color="Olive" title="b1">a1</font>,<font color="Olive" title="b3">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b4">a4</font>,<font color="Olive" title="b3">a3</font>,<font color="Olive" title="b1">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b4">a4</font>,<font color="Olive" title="b2">a2</font>,<font color="Olive" title="b3">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Olive" title="b4">a4</font>,<font color="Olive" title="b3">a3</font>,<font color="Olive" title="b2">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  )</span><br/><b>let </b><font color="Maroon" title="c2">a1</font>, <font color="Maroon" title="c3">a2</font>, <font color="Maroon" title="c4">a3</font>, <font color="Maroon" title="c5">a4</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">SAS</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="semi_af1.html#R2" title="SEMI_AF1:pred.2">parallelogram</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font> implies ( not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  ) )</span><br/>









<b>assume </b><a NAME="E1:39"/>
 <a href="semi_af1.html#R2" title="SEMI_AF1:pred.2">parallelogram</a> <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  )</span><br/>

<a NAME="E2:39"/><b>then </b>
( not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  )
 
<b>by </b><i><a class="ref" href="semi_af1.html#T55" target="_self" title="SEMI_AF1:th.55">Th55</a></i>;<br/>
<b>hence </b><a NAME="E3:39"/>
( not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c5">a4</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c2">a1</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c2">a1</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c3">a2</font>,<font color="Maroon" title="c4">a3</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; not <font color="Maroon" title="c5">a4</font>,<font color="Maroon" title="c4">a3</font>,<font color="Maroon" title="c3">a2</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  )
 <b>by </b><i><a class="ref" href="semi_af1.html#T37" target="_self" title="SEMI_AF1:th.37">Th37</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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