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<b>let </b><font color="Maroon">P</font> be   <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>assume </b><a NAME="E1:98"/>
<font color="Maroon">P</font> is <a href="topreal4.html#V1">special_polygonal</a>
 ;<br/>

<a NAME="E2:98"/><b>then </b>
 ex <font color="Olive">q1</font>, <font color="Olive">q2</font> being  <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> st <font color="Olive">q1</font>,<font color="Olive">q2</font> <a href="sppol_2.html#R1" target="_self">split</a> <font color="Maroon">P</font>
 
<b>by </b><i><a class="ref" href="sppol_2.html#T18" target="_self">Th18</a></i>;<br/>
<b>hence </b><a NAME="E3:98"/>
for <font color="Olive">p1</font>, <font color="Olive">p2</font> being  <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>  st <font color="Olive">p1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Olive">p2</font> &amp; <font color="Olive">p1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">P</font> &amp; <font color="Olive">p2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">P</font> holds <br/><font color="Olive">p1</font>,<font color="Olive">p2</font> <a href="sppol_2.html#R1" target="_self">split</a> <font color="Maroon">P</font>
 <b>by </b><i><a class="ref" href="sppol_2.html#T15" target="_self">Th15</a></i>;<br/>


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