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<b>let </b><font color="Maroon">P</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/><b>let </b><font color="Maroon">p1</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>, <font color="Maroon">p2</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/>



<b>assume </b><a NAME="E1:25"/><i><font color="Green">E27</font></i>: 
<font color="Maroon">P</font> <a href="topreal1.html#R1">is_an_arc_of</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>
 ;<br/>

<a NAME="E2:25"/><b>then </b><i><font color="Green">E28</font></i>: 
 <a href="jordan6.html#K4">R_Segment</a> <font color="Maroon">P</font>,<font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">P</font>
 
<b>by </b><i><a class="ref" href="jordan6.html#T27">JORDAN6:27</a></i>;<br/>
<a NAME="E3:25"/><i><font color="Green">E30</font></i>: 
 <a href="jordan6.html#K3">L_Segment</a> <font color="Maroon">P</font>,<font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">P</font>
 
<b>by </b><i>, <a class="ref" href="jordan6.html#T25">JORDAN6:25</a></i>;<br/>
<a NAME="E4:25"/>
<span class="p1">(<span class="default"><a href="jordan6.html#K4">R_Segment</a> <font color="Maroon">P</font>,<font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p1</font></span>)</span> <a href="subset_1.html#K9">/\</a> <span class="p1">(<span class="default"><a href="jordan6.html#K3">L_Segment</a> <font color="Maroon">P</font>,<font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p2</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="jordan6.html#K5">Segment</a> <font color="Maroon">P</font>,<font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">p2</font>
 
<b>by </b><i><a class="ref" href="jordan6.html#D5">JORDAN6:def 5</a></i>;<br/>
<b>hence </b><a NAME="E5:25"/>
 <a href="jordan6.html#K5">Segment</a> <font color="Maroon">P</font>,<font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">p1</font>,<font color="Maroon">p2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">P</font>
 <b>by </b><i><a class="txt" href="jordan20.html#E1:25"><i><font color="Green">E27</font></i></a>, <a class="txt" href="jordan20.html#E2:25"><i><font color="Green">E28</font></i></a></i>;<br/>


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