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<b>let </b><font color="Maroon">A</font> be   <a href="measure5.html#NM1">Interval</a>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="supinf_1.html#NM3">R_eal</a>;<br/>



<b>assume </b><a NAME="E1:53"/><i><font color="Green">E18</font></i>: 
<font color="Maroon">a</font> <a href="hidden.html#R2">in</a> <font color="Maroon">A</font>
 ;<br/>

<a NAME="E2:53"/><b>then </b>
( (  <a href="measure6.html#K4" target="_self">^^</a> <font color="Maroon">A</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">A</font> <a href="measure6.html#K5" target="_self">^^</a>  &amp; <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="measure5.html#K2">].</a><span class="default"><span class="p2">(<span class="default"><a href="measure6.html#K4" target="_self">^^</a> <font color="Maroon">A</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">A</font> <a href="measure6.html#K5" target="_self">^^</a> </span>)</span></span><a href="measure5.html#K2">.[</a></span> ) or <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="measure5.html#K3">].</a><span class="default"><span class="p2">(<span class="default"><a href="measure6.html#K4" target="_self">^^</a> <font color="Maroon">A</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">A</font> <a href="measure6.html#K5" target="_self">^^</a> </span>)</span></span><a href="measure5.html#K3">.]</a></span> or <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="measure5.html#K1">[.</a><span class="default"><span class="p2">(<span class="default"><a href="measure6.html#K4" target="_self">^^</a> <font color="Maroon">A</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">A</font> <a href="measure6.html#K5" target="_self">^^</a> </span>)</span></span><a href="measure5.html#K1">.]</a></span> or <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="measure5.html#K4">[.</a><span class="default"><span class="p2">(<span class="default"><a href="measure6.html#K4" target="_self">^^</a> <font color="Maroon">A</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">A</font> <a href="measure6.html#K5" target="_self">^^</a> </span>)</span></span><a href="measure5.html#K4">.[</a></span> )
 
<b>by </b><i><a class="ref" href="measure6.html#T11" target="_self">Th11</a></i>;<br/>
<b>hence </b><a NAME="E3:53"/>
(  <a href="measure6.html#K4" target="_self">^^</a> <font color="Maroon">A</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">a</font> &amp; <font color="Maroon">a</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">A</font> <a href="measure6.html#K5" target="_self">^^</a>  )
 <b>by </b><i>, <a class="ref" href="measure5.html#D1">MEASURE5:def 1</a>, <a class="ref" href="measure5.html#D2">MEASURE5:def 2</a>, <a class="ref" href="measure5.html#D3">MEASURE5:def 3</a>, <a class="ref" href="measure5.html#D4">MEASURE5:def 4</a></i>;<br/>


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