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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>;<br/><b>let </b><font color="Maroon" title="c2">o</font>, <font color="Maroon" title="c3">b</font>, <font color="Maroon" title="c4">a</font>, <font color="Maroon" title="c5">c</font>, <font color="Maroon" title="c6">d</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">SAS</font>;<br/>











<b>assume </b><a NAME="E1:102"/>
( <font color="Maroon" title="c2">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">b</font> &amp;  <a href="semi_af1.html#R4" title="SEMI_AF1:pred.4">trap</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">c</font>,<font color="Maroon" title="c6">d</font>,<font color="Maroon" title="c2">o</font> )
 ;<br/>

<a NAME="E2:102"/><b>then </b>
( not <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c6">d</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c3">b</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c5">c</font>,<font color="Maroon" title="c6">d</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c6">d</font> )
 
<b>by </b><i><a class="ref" href="semi_af1.html#D8" target="_self" title="SEMI_AF1:def.8">Def8</a>, <a class="ref" href="semi_af1.html#T123" target="_self" title="SEMI_AF1:th.123">Th123</a></i>;<br/>
<a NAME="E3:102"/><b>then </b>
( not <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c6">d</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">a</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c6">d</font>,<font color="Maroon" title="c5">c</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">is_collinear</a>  &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c6">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c5">c</font> )
 
<b>by </b><i><a class="ref" href="semi_af1.html#T17" target="_self" title="SEMI_AF1:th.17">Th17</a>, <a class="ref" href="semi_af1.html#T37" target="_self" title="SEMI_AF1:th.37">Th37</a></i>;<br/>
<b>hence </b><a NAME="E4:102"/>
 <a href="semi_af1.html#R4" title="SEMI_AF1:pred.4">trap</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">a</font>,<font color="Maroon" title="c6">d</font>,<font color="Maroon" title="c5">c</font>,<font color="Maroon" title="c2">o</font>
 <b>by </b><i><a class="ref" href="semi_af1.html#D8" target="_self" title="SEMI_AF1:def.8">Def8</a></i>;<br/>


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