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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E21">Th20</font></span>: <a NAME="T20"><span class="comment"><font color="firebrick">:: AFF_4:20</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">AS</font> being   <a href="diraf.html#NM1" title="DIRAF:NM.1">AffinSpace</a><br/>  for <font color="Olive" title="b2">K</font>, <font color="Olive" title="b3">P</font>, <font color="Olive" title="b4">Q</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">AS</font>  st <font color="Olive" title="b2">K</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp; <font color="Olive" title="b3">P</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp; <font color="Olive" title="b4">Q</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp;  not <font color="Olive" title="b2">K</font> <a href="aff_1.html#R5" title="AFF_1:pred.5">//</a> <font color="Olive" title="b4">Q</font> &amp; <font color="Olive" title="b4">Q</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="aff_4.html#K1" title="AFF_4:func.1">Plane</a> (<font color="Olive" title="b2">K</font>,<font color="Olive" title="b3">P</font>) holds <br/> <a href="aff_4.html#K1" title="AFF_4:func.1">Plane</a> (<font color="Olive" title="b2">K</font>,<font color="Olive" title="b4">Q</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="aff_4.html#K1" title="AFF_4:func.1">Plane</a> (<font color="Olive" title="b2">K</font>,<font color="Olive" title="b3">P</font>)</div></div>
