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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: AFF_4:30</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">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">AS</font><br/>  for <font color="Olive" title="b3">A</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="b3">A</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  holds <br/>( <font color="Olive" title="b2">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">A</font> iff <font color="Olive" title="b2">a</font> <a href="aff_4.html#K2" title="AFF_4:func.2">*</a> <font color="Olive" title="b3">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">A</font> )</div></div>
