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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="E1:159"/><i><font color="Green">E30</font></i>: 
 <a href="pscomp_1.html#K32" target="_self">E-min</a> <font color="Maroon">P</font> <a href="hidden.html#R1">=</a>  <a href="pscomp_1.html#K33" target="_self">S-max</a> <font color="Maroon">P</font>
 ;<br/>

<a NAME="E2:159"/><i><font color="Green">E31</font></i>: 
( <span class="p1">(<span class="default"><a href="pscomp_1.html#K32" target="_self">E-min</a> <font color="Maroon">P</font></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a>  <a href="pscomp_1.html#K17" target="_self">E-bound</a> <font color="Maroon">P</font> &amp; <span class="p1">(<span class="default"><a href="pscomp_1.html#K33" target="_self">S-max</a> <font color="Maroon">P</font></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="hidden.html#R1">=</a>  <a href="pscomp_1.html#K18" target="_self">S-bound</a> <font color="Maroon">P</font> &amp; <span class="p1">(<span class="default"><a href="pscomp_1.html#K22" target="_self">SE-corner</a> <font color="Maroon">P</font></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a>  <a href="pscomp_1.html#K17" target="_self">E-bound</a> <font color="Maroon">P</font> &amp; <span class="p1">(<span class="default"><a href="pscomp_1.html#K22" target="_self">SE-corner</a> <font color="Maroon">P</font></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="hidden.html#R1">=</a>  <a href="pscomp_1.html#K18" target="_self">S-bound</a> <font color="Maroon">P</font> )
 
<b>by </b><i>, , , <a class="ref" href="pscomp_1.html#T15" target="_self">Th15</a></i>;<br/>
<a NAME="E3:159"/>
(  <a href="pscomp_1.html#K22" target="_self">SE-corner</a> <font color="Maroon">P</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K23">|[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pscomp_1.html#K22" target="_self">SE-corner</a> <font color="Maroon">P</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pscomp_1.html#K22" target="_self">SE-corner</a> <font color="Maroon">P</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span></span><a href="euclid.html#K23">]|</a></span> &amp;  <a href="pscomp_1.html#K32" target="_self">E-min</a> <font color="Maroon">P</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K23">|[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pscomp_1.html#K32" target="_self">E-min</a> <font color="Maroon">P</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pscomp_1.html#K32" target="_self">E-min</a> <font color="Maroon">P</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span></span><a href="euclid.html#K23">]|</a></span> )
 
<b>by </b><i><a class="ref" href="euclid.html#T57">EUCLID:57</a></i>;<br/>
<b>hence </b><a NAME="E4:159"/>
 <a href="pscomp_1.html#K32" target="_self">E-min</a> <font color="Maroon">P</font> <a href="hidden.html#R1">=</a>  <a href="pscomp_1.html#K22" target="_self">SE-corner</a> <font color="Maroon">P</font>
 <b>by </b><i><a class="ref" href="pscomp_1.html#T21" target="_self">Th21</a>, <a class="ref" href="pscomp_1.html#T22" target="_self">Th22</a></i>;<br/>


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