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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="measure5.html#NM1">Interval</a>;<br/>

<b>assume </b><a NAME="E1:49"/><i><font color="Green">E36</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> is <a href="measure5.html#V4">left_open_interval</a> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="measure5.html#K6">{}</a>  )
 ;<br/>

<b>then consider </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> being   <a href="supinf_1.html#NM3">R_eal</a><b> such that </b><br/><a NAME="E3:49"/><i><font color="Green">E37</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="measure5.html#K3">].</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span><a href="measure5.html#K3">.]</a></span> )
 <b>by </b><i><a class="ref" href="measure5.html#D8">MEASURE5:def 8</a></i>;<br/>
<a NAME="E4:49"/>
<font color="Maroon">c<sub>1</sub></font> <a href="measure6.html#K5" target="_self">^^</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="txt" href="measure6.html#E1:49"><i><font color="Green">E36</font></i></a>, <a class="txt" href="measure6.html#E3:49"><i><font color="Green">E37</font></i></a>, <a class="ref" href="measure6.html#D5" target="_self">Def5</a></i>;<br/>
<b>hence </b><a NAME="E5:49"/>
(  <a href="measure6.html#K4" target="_self">^^</a> <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>1</sub></font> <a href="measure6.html#K5" target="_self">^^</a>  &amp; <font color="Maroon">c<sub>1</sub></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">c<sub>1</sub></font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="measure6.html#K5" target="_self">^^</a> </span>)</span></span><a href="measure5.html#K3">.]</a></span> )
 <b>by </b><i><a class="txt" href="measure6.html#E1:49"><i><font color="Green">E36</font></i></a>, <a class="txt" href="measure6.html#E3:49"><i><font color="Green">E37</font></i></a>, <a class="ref" href="measure6.html#D4" target="_self">Def4</a></i>;<br/>


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