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<div><span class="kw">theorem </span><a NAME="T23"><span class="comment"><font color="firebrick">:: PARSP_2:23</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">FdSp</font> being   <a href="parsp_2.html#NM1" title="PARSP_2:NM.1">FanodesSp</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">c</font>, <font color="Olive" title="b5">p</font>, <font color="Olive" title="b6">q</font>, <font color="Olive" title="b7">o</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">FdSp</font>  st  not <font color="Olive" title="b7">o</font>,<font color="Olive" title="b2">a</font>,<font color="Olive" title="b4">c</font> <a href="parsp_2.html#R1" title="PARSP_2:pred.1">are_collinear</a>  &amp; <font color="Olive" title="b7">o</font>,<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font> <a href="parsp_2.html#R1" title="PARSP_2:pred.1">are_collinear</a>  &amp; <font color="Olive" title="b7">o</font>,<font color="Olive" title="b4">c</font>,<font color="Olive" title="b5">p</font> <a href="parsp_2.html#R1" title="PARSP_2:pred.1">are_collinear</a>  &amp; <font color="Olive" title="b7">o</font>,<font color="Olive" title="b4">c</font>,<font color="Olive" title="b6">q</font> <a href="parsp_2.html#R1" title="PARSP_2:pred.1">are_collinear</a>  &amp; <font color="Olive" title="b2">a</font>,<font color="Olive" title="b4">c</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Olive" title="b3">b</font>,<font color="Olive" title="b5">p</font> &amp; <font color="Olive" title="b2">a</font>,<font color="Olive" title="b4">c</font> <a href="parsp_1.html#R1" title="PARSP_1:pred.1">'||'</a> <font color="Olive" title="b3">b</font>,<font color="Olive" title="b6">q</font> holds <br/><font color="Olive" title="b5">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">q</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="parsp_1.html#T34" onmouseover="rs('parsp_1/T34')" onmouseout="rh()">PARSP_1:34</a></span>;<br/></div></div>
