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<div><span class="kw">theorem </span><a NAME="T51"><span class="comment"><font color="firebrick">:: ANPROJ11:51</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">P</font>, <font color="Olive" title="b2">Q</font>, <font color="Olive" title="b3">R</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="bkmodel1.html#K4" title="BKMODEL1:func.4">real_projective_plane</a>  st <font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b3">R</font> <a href="collsp.html#R1" title="COLLSP:pred.1">are_collinear</a>  holds <br/>( <font color="Olive" title="b2">Q</font>,<font color="Olive" title="b3">R</font>,<font color="Olive" title="b1">P</font> <a href="collsp.html#R1" title="COLLSP:pred.1">are_collinear</a>  &amp; <font color="Olive" title="b3">R</font>,<font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">Q</font> <a href="collsp.html#R1" title="COLLSP:pred.1">are_collinear</a>  &amp; <font color="Olive" title="b1">P</font>,<font color="Olive" title="b3">R</font>,<font color="Olive" title="b2">Q</font> <a href="collsp.html#R1" title="COLLSP:pred.1">are_collinear</a>  &amp; <font color="Olive" title="b3">R</font>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">P</font> <a href="collsp.html#R1" title="COLLSP:pred.1">are_collinear</a>  &amp; <font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">P</font>,<font color="Olive" title="b3">R</font> <a href="collsp.html#R1" title="COLLSP:pred.1">are_collinear</a>  ) <span class="kw">by</span> <span class="lab"><a class="ref" href="anproj_2.html#T24" onmouseover="rs('anproj_2/T24')" onmouseout="rh()">ANPROJ_2:24</a></span>;<br/></div></div>
