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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="supinf_1.html#NM3">R_eal</a>;<br/>

<b>assume </b><a NAME="E1:25"/><i><font color="Green">E18</font></i>: 
(  <a href="supinf_2.html#K1">0.</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="supinf_1.html#K1">+infty</a>  )
 ;<br/>

<a NAME="E2:25"/><b>then </b>
(  <a href="supinf_2.html#K1">0.</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="measure6.html#K3" target="_self">len</a> <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="measure6.html#K3" target="_self">len</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> )
 
<b>by </b><i><a class="ref" href="measure6.html#T27" target="_self">Th27</a>, <a class="ref" href="measure6.html#T28" target="_self">Th28</a></i>;<br/>
<a NAME="E3:25"/><b>then </b>
(  <a href="supinf_2.html#K1">0.</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="measure6.html#K3" target="_self">len</a> <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="measure6.html#K3" target="_self">len</a> <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="supinf_1.html#K1">+infty</a>  )
 
<b>by </b><i><a class="txt" href="measure6.html#E1:25"><i><font color="Green">E18</font></i></a>, <a class="ref" href="supinf_1.html#T29">SUPINF_1:29</a></i>;<br/>
<b>hence </b><a NAME="E4:25"/>
 <a href="measure6.html#K3" target="_self">len</a> <font color="Maroon">c<sub>1</sub></font> is   <a href="real_1.html#NM1">Real</a>
 <b>by </b><i><a class="ref" href="measure6.html#T15" target="_self">Th15</a></i>;<br/>


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