<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="rltopsp1.html#R1" title="RLTOPSP1:pred.1">are_collinear</a> <a onclick="hs(this)" href="javascript:()">RLTOPSP1:def 16 : <br/></a><span> for <font color="Olive" title="b1">V</font> being   <a href="rlvect_1.html#NM2" title="RLVECT_1:NM.2">RealLinearSpace</a><br/>  for <font color="Olive" title="b2">x1</font>, <font color="Olive" title="b3">x2</font>, <font color="Olive" title="b4">x3</font> being   <a href="pre_topc.html#NM2" title="PRE_TOPC:NM.2">Point</a> of <font color="Olive" title="b1">V</font> holds <br/> ( <font color="Olive" title="b2">x1</font>,<font color="Olive" title="b3">x2</font>,<font color="Olive" title="b4">x3</font> <a href="rltopsp1.html#R1" title="RLTOPSP1:pred.1">are_collinear</a>  iff  ex <font color="Olive" title="b5">L</font> being   <a href="rltopsp1.html#NM3" title="RLTOPSP1:NM.3">line</a> of <font color="Olive" title="b1">V</font> st <br/>( <font color="Olive" title="b2">x1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">L</font> &amp; <font color="Olive" title="b3">x2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">L</font> &amp; <font color="Olive" title="b4">x3</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">L</font> ) );<br/></span></div>
