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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E18">Th21</font></span>: <a NAME="T21"><span class="comment"><font color="firebrick">:: PROJPL_1:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being    <a href="incsp_1.html#L1" title="INCSP_1:struct.1">IncProjStr</a> <br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">p</font>, <font color="Olive" title="b4">q</font>, <font color="Olive" title="b5">r</font> being   <a href="incsp_1.html#NM1" title="INCSP_1:NM.1">POINT</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b6">A</font>, <font color="Olive" title="b7">P</font>, <font color="Olive" title="b8">Q</font>, <font color="Olive" title="b9">R</font> being   <a href="incsp_1.html#NM2" title="INCSP_1:NM.2">LINE</a> of <font color="Olive" title="b1">G</font>  st <font color="Olive" title="b1">G</font> is  <a href="projpl_1.html#V1" title="PROJPL_1:attr.1">configuration</a>  &amp; <font color="Olive" title="b2">a</font> <a href="projpl_1.html#R3" title="PROJPL_1:pred.3">on</a> <font color="Olive" title="b7">P</font>,<font color="Olive" title="b8">Q</font>,<font color="Olive" title="b9">R</font> &amp; <font color="Olive" title="b7">P</font>,<font color="Olive" title="b8">Q</font>,<font color="Olive" title="b9">R</font> <a href="zfmisc_1.html#R1" title="ZFMISC_1:pred.1">are_mutually_distinct</a>  &amp; <font color="Olive" title="b2">a</font> <a href="projpl_1.html#NR1" title="PROJPL_1:NR.1">|'</a> <font color="Olive" title="b6">A</font> &amp; <font color="Olive" title="b3">p</font> <a href="projpl_1.html#R2" title="PROJPL_1:pred.2">on</a> <font color="Olive" title="b6">A</font>,<font color="Olive" title="b7">P</font> &amp; <font color="Olive" title="b4">q</font> <a href="projpl_1.html#R2" title="PROJPL_1:pred.2">on</a> <font color="Olive" title="b6">A</font>,<font color="Olive" title="b8">Q</font> &amp; <font color="Olive" title="b5">r</font> <a href="projpl_1.html#R2" title="PROJPL_1:pred.2">on</a> <font color="Olive" title="b6">A</font>,<font color="Olive" title="b9">R</font> holds <br/><font color="Olive" title="b3">p</font>,<font color="Olive" title="b4">q</font>,<font color="Olive" title="b5">r</font> <a href="zfmisc_1.html#R1" title="ZFMISC_1:pred.1">are_mutually_distinct</a> </div></div>
