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<b>let </b><font color="Maroon" title="c1">C</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="compts_1.html#V6" title="COMPTS_1:attr.6">compact</a> <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/>

<a NAME="E1:8"/><i><font color="Green" title="E3">A1</font></i>: 
 <a href="pscomp_1.html#K17" title="PSCOMP_1:func.17">E-bound</a> <font color="Maroon" title="c1">C</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="pscomp_1.html#K15" title="PSCOMP_1:func.15">W-bound</a> <font color="Maroon" title="c1">C</font>
 
<b>by </b><i><a class="ref" href="sprect_1.html#T23" title="SPRECT_1:th.23">SPRECT_1:23</a></i>;<br/>
<a NAME="E2:8"/>
( <font color="Maroon" title="c1">C</font> is <a href="sppol_1.html#V2" title="SPPOL_1:attr.2">vertical</a> iff  <a href="pscomp_1.html#K15" title="PSCOMP_1:func.15">W-bound</a> <font color="Maroon" title="c1">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pscomp_1.html#K17" title="PSCOMP_1:func.17">E-bound</a> <font color="Maroon" title="c1">C</font> )
 
<b>by </b><i><a class="ref" href="sprect_1.html#T17" title="SPRECT_1:th.17">SPRECT_1:17</a></i>;<br/>
<b>hence </b><a NAME="E3:8"/>
( <font color="Maroon" title="c1">C</font> is <a href="sppol_1.html#V2" title="SPPOL_1:attr.2">vertical</a> iff  <a href="pscomp_1.html#K17" title="PSCOMP_1:func.17">E-bound</a> <font color="Maroon" title="c1">C</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="pscomp_1.html#K15" title="PSCOMP_1:func.15">W-bound</a> <font color="Maroon" title="c1">C</font> )
 <b>by </b><i><a class="txt" href="jordan8.html#E1:8"><i><font color="Green" title="E3">A1</font></i></a>, <a class="ref" href="real_1.html#D5" title="REAL_1:def.5">REAL_1:def 5</a></i>;<br/>


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