<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T57"><span class="comment"><font color="firebrick">:: AFF_1:57</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>, <font color="Olive" title="b3">b</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="b4">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="b4">A</font> is  <a href="aff_1.html#V1" title="AFF_1:attr.1">being_line</a>  &amp; <font color="Olive" title="b2">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">A</font> &amp; <font color="Olive" title="b3">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b4">A</font> &amp; <font color="Olive" title="b2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b3">b</font> holds <br/><font color="Olive" title="b4">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="aff_1.html#K2" title="AFF_1:func.2">Line</a> (<font color="Olive" title="b2">a</font>,<font color="Olive" title="b3">b</font>) <span class="kw">by</span> <span class="lab"><a class="txt" href="aff_1.html#E26"><span class="lab"><font color="Green" title="E22">Lm6</font></span></a></span>;<br/></div></div>
