<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="euclid_4.html#V1" title="EUCLID_4:attr.1">being_line</a> <a onclick="hs(this)" href="javascript:()">EUCLID_4:def 2 : <br/></a><span> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">A</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">n</font></span>)</span> holds <br/> ( <font color="Olive" title="b2">A</font> is  <a href="euclid_4.html#V1" title="EUCLID_4:attr.1">being_line</a>  iff  ex <font color="Olive" title="b3">x1</font>, <font color="Olive" title="b4">x2</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">n</font> st <br/>( <font color="Olive" title="b3">x1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b4">x2</font> &amp; <font color="Olive" title="b2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="euclid_4.html#K2" title="EUCLID_4:func.2">Line</a> (<font color="Olive" title="b3">x1</font>,<font color="Olive" title="b4">x2</font>) ) );<br/></span></div>
