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

<b>let </b><font color="Maroon" title="c1">P1</font> be   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span>;<br/>

<b>assume </b><a NAME="E1:45"/>
<font color="Maroon" title="c1">P1</font> <a href="topreal1.html#NR3" title="TOPREAL1:NR.3">is_S-P_arc</a> 
 ;<br/>

<b>then consider </b><font color="Maroon" title="c2">f</font> being   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span><b> such that </b><br/><a NAME="E3:45"/><i><font color="Green" title="E30">A1</font></i>: 
( <font color="Maroon" title="c2">f</font> <a href="topreal1.html#NR2" title="TOPREAL1:NR.2">is_S-Seq</a>  &amp; <font color="Maroon" title="c1">P1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="topreal1.html#K5" title="TOPREAL1:func.5">L~</a> <font color="Maroon" title="c2">f</font> )
 <b>by </b><i><a class="ref" href="topreal1.html#D11" target="_self" title="TOPREAL1:def.11">Def11</a></i>;<br/>
<a NAME="E4:45"/>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">f</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 2
 
<b>by </b><i><a class="txt" href="topreal1.html#E3:45"><i><font color="Green" title="E30">A1</font></i></a>, <a class="ref" href="topreal1.html#D10" target="_self" title="TOPREAL1:def.10">Def10</a></i>;<br/>
<b>hence </b><a NAME="E5:45"/>
<font color="Maroon" title="c1">P1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 <b>by </b><i><a class="txt" href="topreal1.html#E3:45"><i><font color="Green" title="E30">A1</font></i></a>, <a class="ref" href="topreal1.html#T29" target="_self" title="TOPREAL1:th.29">Th29</a></i>;<br/>


</div>
