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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E39">Th36</font></span>: <a NAME="T67"><span class="comment"><font color="firebrick">:: ANPROJ10:67</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">P</font>, <font color="Olive" title="b3">Q</font>, <font color="Olive" title="b4">R</font>, <font color="Olive" title="b5">S</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">V</font><br/>  for <font color="Olive" title="b6">x</font> being   <a href="finseq_2.html#NM3" title="FINSEQ_2:NM.3">Tuple</a> of 4, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">V</font>  st <font color="Olive" title="b6">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Olive" title="b2">P</font>,<font color="Olive" title="b3">Q</font>,<font color="Olive" title="b4">R</font>,<font color="Olive" title="b5">S</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> holds <br/> <a href="anproj10.html#K28" title="ANPROJ10:func.28">cross-ratio</a> (<font color="Olive" title="b2">P</font>,<font color="Olive" title="b3">Q</font>,<font color="Olive" title="b4">R</font>,<font color="Olive" title="b5">S</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="anproj10.html#K29" title="ANPROJ10:func.29">cross-ratio-tuple</a> <font color="Olive" title="b6">x</font></div></div>
