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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E24">Th31</font></span>: <a NAME="T31"><span class="comment"><font color="firebrick">:: DIRAF:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   <a href="analoaf.html#NM1" title="ANALOAF:NM.1">OAffinSpace</a><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive" title="b2">x</font>,<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font> <a href="diraf.html#R3" title="DIRAF:pred.3">are_collinear</a>  &amp; <font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>,<font color="Olive" title="b3">y</font> <a href="diraf.html#R3" title="DIRAF:pred.3">are_collinear</a>  &amp; <font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>,<font color="Olive" title="b2">x</font> <a href="diraf.html#R3" title="DIRAF:pred.3">are_collinear</a>  ) <span class="kw">by</span> <span class="lab"><a class="ref" href="diraf.html#T19" target="_self" onmouseover="rs('diraf/T19')" onmouseout="rh()">Th19</a>, <a class="ref" href="diraf.html#T20" target="_self" onmouseover="rs('diraf/T20')" onmouseout="rh()">Th20</a></span>;<br/></div></div>
