<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">L1</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="euclidlp.html#K1" target="_self">line_of_REAL</a> <font color="Maroon">n</font>;<br/><b>let </b><font color="Maroon">L2</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="euclidlp.html#K1" target="_self">line_of_REAL</a> <font color="Maroon">n</font>;<br/>





<b>assume </b><a NAME="E1:120"/><i><font color="Green">E59</font></i>: 
( <font color="Maroon">L1</font> <a href="euclidlp.html#R5" target="_self">//</a> <font color="Maroon">L2</font> &amp; <font color="Maroon">L1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">L2</font> )
 ;<br/>

<a NAME="E2:120"/><b>then </b><i><font color="Green">E66</font></i>: 
<font color="Maroon">L1</font>,<font color="Maroon">L2</font> <a href="euclidlp.html#R7" target="_self">are_coplane</a> 
 
<b>by </b><i><a class="ref" href="euclidlp.html#T35" target="_self">Th35</a></i>;<br/>
<a NAME="E3:120"/><i><font color="Green">E88</font></i>: 
<font color="Maroon">L1</font> <a href="xboole_0.html#R1">misses</a> <font color="Maroon">L2</font>
 
<b>by </b><i><a class="txt" href="euclidlp.html#E43"><i><font color="Green">Lemma98</font></i></a>, <a class="ref" href="euclidlp.html#T15" target="_self">Th15</a></i>;<br/>
<a NAME="E4:120"/>
( <font color="Maroon">L1</font> <a href="euclid_4.html#NR1" target="_self">is_line</a>  &amp; <font color="Maroon">L2</font> <a href="euclid_4.html#NR1" target="_self">is_line</a>  )
 
<b>by </b><i><a class="txt" href="euclidlp.html#E43"><i><font color="Green">Lemma98</font></i></a>, <a class="ref" href="euclidlp.html#T13" target="_self">Th13</a></i>;<br/>
<b>hence </b><a NAME="E5:120"/>
 ex <font color="Olive">P</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="euclidlp.html#K5" target="_self">plane_of_REAL</a> <font color="Maroon">n</font> st <br/>( <font color="Maroon">L1</font> <a href="tarski.html#R1">c=</a> <font color="Olive">P</font> &amp; <font color="Maroon">L2</font> <a href="tarski.html#R1">c=</a> <font color="Olive">P</font> &amp; <font color="Olive">P</font> is <a href="euclidlp.html#V1" target="_self">being_plane</a> )
 <b>by </b><i><a class="ref" href="euclidlp.html#T40" target="_self">Th40</a>, <a class="ref" href="euclidlp.html#T41" target="_self">Th41</a>, </i>;<br/>


</div>
