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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: SEMI_AF1:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">SAS</font> being   <a href="semi_af1.html#NM1" title="SEMI_AF1:NM.1">Semi_Affine_Space</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">a9</font>, <font color="Olive" title="b4">b</font>, <font color="Olive" title="b5">b9</font>, <font color="Olive" title="b6">o</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">SAS</font>  st <font color="Olive" title="b6">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">a</font> &amp; <font color="Olive" title="b6">o</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b4">b</font> &amp; <font color="Olive" title="b6">o</font>,<font color="Olive" title="b2">a</font>,<font color="Olive" title="b4">b</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">are_collinear</a>  &amp; <font color="Olive" title="b6">o</font>,<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">a9</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">are_collinear</a>  &amp; <font color="Olive" title="b6">o</font>,<font color="Olive" title="b4">b</font>,<font color="Olive" title="b5">b9</font> <a href="semi_af1.html#R1" title="SEMI_AF1:pred.1">are_collinear</a>  holds <br/><font color="Olive" title="b2">a</font>,<font color="Olive" title="b4">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b3">a9</font>,<font color="Olive" title="b5">b9</font></div></div>
