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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="E1:52"/><i><font color="Green">E35</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="supinf_1.html#K1">+infty</a>  or <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="supinf_1.html#K2">-infty</a>  )
 ;<br/>

<a NAME="E2:52"/>
(  <a href="supinf_1.html#K2">-infty</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="mesfunc1.html#K10">1.</a>  &amp;  <a href="mesfunc1.html#K10">1.</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="supinf_1.html#K1">+infty</a>  )
 
<b>by </b><i><a class="ref" href="mesfunc1.html#D8">MESFUNC1:def 8</a>, <a class="ref" href="supinf_1.html#T31">SUPINF_1:31</a></i>;<br/>
<a NAME="E3:52"/><b>then </b>
<a href="mesfunc1.html#K10">1.</a>  <a href="extreal1.html#K3">/</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="txt" href="extreal2.html#E1:52"><i><font color="Green">E35</font></i></a>, <a class="ref" href="extreal1.html#T33">EXTREAL1:33</a></i>;<br/>
<a NAME="E4:52"/><b>then </b>
<span class="p1"><a href="extreal1.html#K4">|.</a><span class="default"><span class="p2">(<span class="default"><a href="mesfunc1.html#K10">1.</a>  <a href="extreal1.html#K3">/</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span><a href="extreal1.html#K4">.|</a></span> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="ref" href="extreal1.html#D3">EXTREAL1:def 3</a></i>;<br/>
<b>hence </b><a NAME="E5:52"/>
<span class="p1"><a href="extreal1.html#K4">|.</a><span class="default"><font color="Maroon">c<sub>1</sub></font></span><a href="extreal1.html#K4">.|</a></span> <a href="extreal1.html#K2">*</a> <span class="p1"><a href="extreal1.html#K4">|.</a><span class="default"><span class="p2">(<span class="default"><a href="mesfunc1.html#K10">1.</a>  <a href="extreal1.html#K3">/</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span><a href="extreal1.html#K4">.|</a></span> <a href="hidden.html#R1">=</a> 0
 <b>by </b><i><a class="ref" href="extreal1.html#T22">EXTREAL1:22</a></i>;<br/>


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