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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be  <a href="xxreal_0.html#V1" target="_self">ext-real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>







<a NAME="E1:34"/><i><font color="Green">E25</font></i>: 
(  <a href="xxreal_0.html#K3" target="_self">min</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#R1" target="_self">&lt;=</a> <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="xxreal_0.html#K3" target="_self">min</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#R1" target="_self">&lt;=</a> <font color="Maroon">c<sub>3</sub></font> )
 
<b>by </b><i><a class="ref" href="xxreal_0.html#T17" target="_self">Th17</a></i>;<br/>
<b>assume </b><a NAME="E2:34"/>
( <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#R1" target="_self">&lt;=</a> <font color="Maroon">c<sub>2</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#R1" target="_self">&lt;=</a> <font color="Maroon">c<sub>4</sub></font> )
 ;<br/>

<a NAME="E3:34"/><b>then </b>
(  <a href="xxreal_0.html#K3" target="_self">min</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#R1" target="_self">&lt;=</a> <font color="Maroon">c<sub>2</sub></font> &amp;  <a href="xxreal_0.html#K3" target="_self">min</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#R1" target="_self">&lt;=</a> <font color="Maroon">c<sub>4</sub></font> )
 
<b>by </b><i><a class="txt" href="xxreal_0.html#E1:34"><i><font color="Green">E25</font></i></a>, <a class="ref" href="xxreal_0.html#T2" target="_self">Th2</a></i>;<br/>
<b>hence </b><a NAME="E4:34"/>
 <a href="xxreal_0.html#K3" target="_self">min</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#R1" target="_self">&lt;=</a>  <a href="xxreal_0.html#K3" target="_self">min</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="xxreal_0.html#T15" target="_self">Th15</a></i>;<br/>


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