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<div><span class="kw">theorem </span><a NAME="T22"><span class="comment"><font color="firebrick">:: PROJRED2:22</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">a</font>, <font color="Olive" title="b3">b</font>, <font color="Olive" title="b4">c</font>, <font color="Olive" title="b5">d</font>, <font color="Olive" title="b6">r</font>, <font color="Olive" title="b7">s</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="b8">A</font>, <font color="Olive" title="b9">B</font>, <font color="Olive" title="b10">C</font>, <font color="Olive" title="b11">Q</font>, <font color="Olive" title="b12">R</font>, <font color="Olive" title="b13">S</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="b2">a</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b8">A</font> &amp;  not <font color="Olive" title="b3">b</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b9">B</font> &amp;  not <font color="Olive" title="b2">a</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b10">C</font> &amp;  not <font color="Olive" title="b3">b</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b10">C</font> &amp;  not <font color="Olive" title="b2">a</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b9">B</font> &amp;  not <font color="Olive" title="b3">b</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b8">A</font> &amp; <font color="Olive" title="b4">c</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b8">A</font> &amp; <font color="Olive" title="b4">c</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b10">C</font> &amp; <font color="Olive" title="b5">d</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b9">B</font> &amp; <font color="Olive" title="b5">d</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b10">C</font> &amp; <font color="Olive" title="b2">a</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b13">S</font> &amp; <font color="Olive" title="b5">d</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b13">S</font> &amp; <font color="Olive" title="b4">c</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b12">R</font> &amp; <font color="Olive" title="b3">b</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b12">R</font> &amp; <font color="Olive" title="b7">s</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b8">A</font> &amp; <font color="Olive" title="b7">s</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b13">S</font> &amp; <font color="Olive" title="b6">r</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b9">B</font> &amp; <font color="Olive" title="b6">r</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b12">R</font> &amp; <font color="Olive" title="b7">s</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b11">Q</font> &amp; <font color="Olive" title="b6">r</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b11">Q</font> &amp;  not <font color="Olive" title="b8">A</font>,<font color="Olive" title="b9">B</font>,<font color="Olive" title="b10">C</font> <a href="projred2.html#R1" title="PROJRED2:pred.1">are_concurrent</a>  holds <br/><span class="p1">(<span class="default"><a href="projred1.html#K1" title="PROJRED1:func.1">IncProj</a> (<font color="Olive" title="b10">C</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b9">B</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="b8">A</font>,<font color="Olive" title="b2">a</font>,<font color="Olive" title="b10">C</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="projred1.html#K1" title="PROJRED1:func.1">IncProj</a> (<font color="Olive" title="b11">Q</font>,<font color="Olive" title="b2">a</font>,<font color="Olive" title="b9">B</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="b8">A</font>,<font color="Olive" title="b3">b</font>,<font color="Olive" title="b11">Q</font>)</span>)</span></div></div>
