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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="E1:132"/>
<span class="p1"><a href="euclid.html#K23">|[</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0</span><a href="euclid.html#K23">]|</a></span>,<span class="p1"><a href="euclid.html#K23">|[</a><span class="default">1,0</span><a href="euclid.html#K23">]|</a></span> <a href="jordan24.html#R1">realize-max-dist-in</a> <font color="Maroon">P</font>
 ;<br/>

<a NAME="E2:132"/><b>then </b>
(  <a href="pscomp_1.html#K15">W-bound</a> <font color="Maroon">P</font> <a href="hidden.html#R1">=</a>  <a href="real_1.html#K1">-</a> 1 &amp;  <a href="pscomp_1.html#K17">E-bound</a> <font color="Maroon">P</font> <a href="hidden.html#R1">=</a> 1 )
 
<b>by </b><i>, <a class="txt" href="jordan.html#E53"><i><font color="Green">Lemma151</font></i></a></i>;<br/>
<b>hence </b><a NAME="E3:132"/>
<span class="p1"><a href="euclid.html#K23">|[</a><span class="default">0,3</span><a href="euclid.html#K23">]|</a></span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="pscomp_1.html#K15">W-bound</a> <font color="Maroon">P</font></span>)</span> <a href="real_1.html#K3">+</a> <span class="p2">(<span class="default"><a href="pscomp_1.html#K17">E-bound</a> <font color="Maroon">P</font></span>)</span></span>)</span> <a href="real_1.html#K6">/</a> 2
 <b>by </b><i><a class="ref" href="euclid.html#T56">EUCLID:56</a></i>;<br/>


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