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<b>let </b><font color="Maroon">A</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="E1:16_1_1"/><i><font color="Green">E69</font></i>: 
( <font color="Maroon">A</font> is <a href="sppol_1.html#V2">vertical</a> &amp; not <font color="Maroon">A</font> is <a href="xboole_0.html#V1">empty</a> &amp; <font color="Maroon">A</font> is <a href="compts_1.html#V6">compact</a> )
 ;<br/>

<a NAME="E2:16_1_1"/><b>then </b><i><font color="Green">E70</font></i>: 
 <a href="pscomp_1.html#K15">W-bound</a> <font color="Maroon">A</font> <a href="hidden.html#R1">=</a>  <a href="pscomp_1.html#K17">E-bound</a> <font color="Maroon">A</font>
 
<b>by </b><i><a class="ref" href="sprect_1.html#T17">SPRECT_1:17</a></i>;<br/>
<a NAME="E3:16_1_1"/><i><font color="Green">E74</font></i>: 
 <a href="pscomp_1.html#K32">E-min</a> <font color="Maroon">A</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A</font>
 
<b>by </b><i>, <a class="ref" href="sprect_1.html#T16">SPRECT_1:16</a></i>;<br/>
<a NAME="E4:16_1_1"/>
<span class="p1">(<span class="default"><a href="pscomp_1.html#K32">E-min</a> <font color="Maroon">A</font></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a>  <a href="pscomp_1.html#K17">E-bound</a> <font color="Maroon">A</font>
 
<b>by </b><i><a class="ref" href="euclid.html#T56">EUCLID:56</a></i>;<br/>
<a NAME="E5:16_1_1"/><b>then </b>
 <a href="pscomp_1.html#K32">E-min</a> <font color="Maroon">A</font> <a href="hidden.html#R2">in</a>  <a href="jordan6.html#K6">Vertical_Line</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pscomp_1.html#K15">W-bound</a> <font color="Maroon">A</font></span>)</span> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default"><a href="pscomp_1.html#K17">E-bound</a> <font color="Maroon">A</font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> 2</span>)</span>
 
<b>by </b><i>, <a class="ref" href="jordan6.html#T34">JORDAN6:34</a></i>;<br/>
<b>hence </b><a NAME="E6:16_1_1"/>
<font color="Maroon">A</font> <a href="xboole_0.html#NR5" target="_self">meets</a>  <a href="jordan6.html#K6">Vertical_Line</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pscomp_1.html#K15">W-bound</a> <font color="Maroon">A</font></span>)</span> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default"><a href="pscomp_1.html#K17">E-bound</a> <font color="Maroon">A</font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> 2</span>)</span>
 <b>by </b><i>, <a class="ref" href="xboole_0.html#T3">XBOOLE_0:3</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="jordan21.html#D1">JORDAN21:def 1</a><br/>


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