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<b>let </b><font color="Maroon">C</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="compts_1.html#V6">compact</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/>

<a NAME="E1:11"/><i><font color="Green">E49</font></i>: 
 <a href="pscomp_1.html#K16">N-bound</a> <font color="Maroon">C</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a>  <a href="pscomp_1.html#K18">S-bound</a> <font color="Maroon">C</font>
 
<b>by </b><i><a class="ref" href="sprect_1.html#T24">SPRECT_1:24</a></i>;<br/>
<a NAME="E2:11"/>
( <font color="Maroon">C</font> is <a href="sppol_1.html#V1">horizontal</a> iff  <a href="pscomp_1.html#K16">N-bound</a> <font color="Maroon">C</font> <a href="hidden.html#R1">=</a>  <a href="pscomp_1.html#K18">S-bound</a> <font color="Maroon">C</font> )
 
<b>by </b><i><a class="ref" href="sprect_1.html#T18">SPRECT_1:18</a></i>;<br/>
<b>hence </b><a NAME="E3:11"/>
( <font color="Maroon">C</font> is <a href="sppol_1.html#V1">horizontal</a> iff  <a href="pscomp_1.html#K16">N-bound</a> <font color="Maroon">C</font> <a href="xxreal_0.html#R1">&lt;=</a>  <a href="pscomp_1.html#K18">S-bound</a> <font color="Maroon">C</font> )
 <b>by </b><i>, <a class="ref" href="real_1.html#D5">REAL_1:def 5</a></i>;<br/>


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