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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: PROJPL_1:31</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="projpl_1.html#NM1" title="PROJPL_1:NM.1">IncProjectivePlane</a><br/>  for <font color="Olive" title="b2">e</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="b3">I</font>, <font color="Olive" title="b4">L1</font>, <font color="Olive" title="b5">L2</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="b2">e</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b4">L1</font> &amp; <font color="Olive" title="b2">e</font> <a href="incsp_1.html#R1" title="INCSP_1:pred.1">on</a> <font color="Olive" title="b5">L2</font> &amp; <font color="Olive" title="b4">L1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b5">L2</font> &amp; <font color="Olive" title="b2">e</font> <a href="projpl_1.html#NR1" title="PROJPL_1:NR.1">|'</a> <font color="Olive" title="b3">I</font> holds <br/>( <font color="Olive" title="b3">I</font> <a href="projpl_1.html#K2" title="PROJPL_1:func.2">*</a> <font color="Olive" title="b4">L1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">I</font> <a href="projpl_1.html#K2" title="PROJPL_1:func.2">*</a> <font color="Olive" title="b5">L2</font> &amp; <font color="Olive" title="b4">L1</font> <a href="projpl_1.html#K2" title="PROJPL_1:func.2">*</a> <font color="Olive" title="b3">I</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b5">L2</font> <a href="projpl_1.html#K2" title="PROJPL_1:func.2">*</a> <font color="Olive" title="b3">I</font> )</div></div>
