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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E62">Th87</font></span>: <a NAME="T87"><span class="comment"><font color="firebrick">:: TRANSGEO:87</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">AFS</font> being   <a href="diraf.html#NM1" title="DIRAF:NM.1">AffinSpace</a><br/>  for <font color="Olive" title="b2">f</font> being   <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">AFS</font> holds <br/> ( <font color="Olive" title="b2">f</font> is  <a href="transgeo.html#V8" title="TRANSGEO:attr.8">collineation</a>  iff  for <font color="Olive" title="b3">x</font>, <font color="Olive" title="b4">y</font>, <font color="Olive" title="b5">z</font>, <font color="Olive" title="b6">t</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">AFS</font> holds <br/> ( <font color="Olive" title="b3">x</font>,<font color="Olive" title="b4">y</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b5">z</font>,<font color="Olive" title="b6">t</font> iff <font color="Olive" title="b2">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b3">x</font>,<font color="Olive" title="b2">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">y</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b2">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b5">z</font>,<font color="Olive" title="b2">f</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b6">t</font> ) )</div></div>
