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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E10">Th14</font></span>: <a NAME="T14"><span class="comment"><font color="firebrick">:: AFPROJ:14</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">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="afproj.html#K7" title="AFPROJ:func.7">Dir_of_Lines</a> <font color="Olive" title="b1">AS</font> iff  ex <font color="Olive" title="b3">X</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">AS</font> st <br/>( <font color="Olive" title="b2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="afproj.html#K5" title="AFPROJ:func.5">LDir</a> <font color="Olive" title="b3">X</font> &amp; <font color="Olive" title="b3">X</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  ) )</div></div>
