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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="E1:9"/><i><font color="Green">E10</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="supinf_1.html#K1">+infty</a> 
 ;<br/>

<a NAME="E2:9"/><b>then </b><i><font color="Green">E11</font></i>: 
 <a href="supinf_2.html#K3" target="_self">-</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="supinf_1.html#K2">-infty</a> 
 
<b>by </b><i><a class="ref" href="supinf_2.html#T4" target="_self">Th4</a></i>;<br/>
<b>thus </b><a NAME="E3:9"/>
<a href="supinf_1.html#K1">+infty</a>  <a href="supinf_2.html#K4" target="_self">-</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="supinf_1.html#K1">+infty</a> 
 <b>by </b><i><a class="txt" href="supinf_2.html#E2:9"><i><font color="Green">E11</font></i></a>, <a class="ref" href="supinf_2.html#D2" target="_self">Def2</a></i>;<br/>

<a NAME="E4:9"/>
 <a href="supinf_2.html#K3" target="_self">-</a> <a href="supinf_1.html#K1">+infty</a>  <a href="hidden.html#R1">=</a>  <a href="supinf_1.html#K2">-infty</a> 
 
<b>by </b><i><a class="ref" href="supinf_2.html#D3" target="_self">Def3</a></i>;<br/>
<b>hence </b><a NAME="E5:9"/>
<font color="Maroon">c<sub>1</sub></font> <a href="supinf_2.html#K4" target="_self">-</a> <a href="supinf_1.html#K1">+infty</a>  <a href="hidden.html#R1">=</a>  <a href="supinf_1.html#K2">-infty</a> 
 <b>by </b><i><a class="txt" href="supinf_2.html#E1:9"><i><font color="Green">E10</font></i></a>, <a class="ref" href="supinf_2.html#D2" target="_self">Def2</a></i>;<br/>


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