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<b>let </b><font color="Maroon" title="c1">P</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="E1:48"/>
<font color="Maroon" title="c1">P</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">h</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="E3:48"/><i><font color="Green" title="E32">A1</font></i>: 
( <font color="Maroon" title="c2">h</font> <a href="topreal1.html#NR2" title="TOPREAL1:NR.2">is_S-Seq</a>  &amp; <font color="Maroon" title="c1">P</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">h</font> )
 <b>by </b><i><a class="ref" href="topreal1.html#D11" target="_self" title="TOPREAL1:def.11">Def11</a></i>;<br/>
<b>take </b><font color="Maroon" title="c3">p1</font> = <font color="Maroon" title="c2">h</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> 1;<br/>

<b>take </b><font color="Maroon" title="c4">p2</font> = <font color="Maroon" title="c2">h</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">h</font></span>)</span>;<br/>

<b>thus </b><a NAME="E4:48"/>
<font color="Maroon" title="c1">P</font> <a href="topreal1.html#R1" title="TOPREAL1:pred.1">is_an_arc_of</a> <font color="Maroon" title="c3">p1</font>,<font color="Maroon" title="c4">p2</font>
 <b>by </b><i><a class="txt" href="topreal1.html#E3:48"><i><font color="Green" title="E32">A1</font></i></a>, <a class="ref" href="topreal1.html#T31" target="_self" title="TOPREAL1:th.31">Th31</a></i>;<br/>


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