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<div><span class="kw">theorem </span><a NAME="T25"><span class="comment"><font color="firebrick">:: PROJRED1:25</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">IPP</font> being   <a href="incproj.html#V5" title="INCPROJ:attr.5">2-dimensional</a>   <a href="incproj.html#V9" title="INCPROJ:attr.9">Desarguesian</a>  <a href="incproj.html#NM2" title="INCPROJ:NM.2">IncProjSp</a><br/>  for <font color="Olive" title="b2">c</font>, <font color="Olive" title="b3">p</font>, <font color="Olive" title="b4">q</font> being   <a href="incsp_1.html#NM1" title="INCSP_1:NM.1">POINT</a> of <font color="Olive" title="b1">IPP</font><br/>  for <font color="Olive" title="b5">K</font>, <font color="Olive" title="b6">L</font>, <font color="Olive" title="b7">R</font> being   <a href="incsp_1.html#NM2" title="INCSP_1:NM.2">LINE</a> of <font color="Olive" title="b1">IPP</font>  st  not <font color="Olive" title="b3">p</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b5">K</font> &amp;  not <font color="Olive" title="b3">p</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b6">L</font> &amp;  not <font color="Olive" title="b4">q</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b6">L</font> &amp;  not <font color="Olive" title="b4">q</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b7">R</font> &amp; <font color="Olive" title="b2">c</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b5">K</font> &amp; <font color="Olive" title="b2">c</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b6">L</font> &amp; <font color="Olive" title="b2">c</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b7">R</font> &amp; <font color="Olive" title="b5">K</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b7">R</font> holds <br/> ex <font color="Olive" title="b8">o</font> being   <a href="incsp_1.html#NM1" title="INCSP_1:NM.1">POINT</a> of <font color="Olive" title="b1">IPP</font> st <br/>(  not <font color="Olive" title="b8">o</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b5">K</font> &amp;  not <font color="Olive" title="b8">o</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b7">R</font> &amp; <span class="p1">(<span class="default"><a href="projred1.html#K1" title="PROJRED1:func.1">IncProj</a> (<font color="Olive" title="b6">L</font>,<font color="Olive" title="b4">q</font>,<font color="Olive" title="b7">R</font>)</span>)</span> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <span class="p1">(<span class="default"><a href="projred1.html#K1" title="PROJRED1:func.1">IncProj</a> (<font color="Olive" title="b5">K</font>,<font color="Olive" title="b3">p</font>,<font color="Olive" title="b6">L</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="projred1.html#K1" title="PROJRED1:func.1">IncProj</a> (<font color="Olive" title="b5">K</font>,<font color="Olive" title="b8">o</font>,<font color="Olive" title="b7">R</font>) )</div></div>
