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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> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>





<b>assume </b><a NAME="E1:11"/><i><font color="Green">E11</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>2</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>3</sub></font> )
 ;<br/>

<a NAME="E2:11"/><b>then </b><i><font color="Green">E12</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/>
<b>thus </b> <a href="treal_1.html#K1" target="_self">(#)</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> = 
<font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="txt" href="treal_1.html#E1:11"><i><font color="Green">E11</font></i></a>, <a class="ref" href="treal_1.html#D1" target="_self">Def1</a></i>
<br/>.= 
 <a href="treal_1.html#K1" target="_self">(#)</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="txt" href="treal_1.html#E2:11"><i><font color="Green">E12</font></i></a>, <a class="ref" href="treal_1.html#D1" target="_self">Def1</a></i>
;<br/>

<b>thus </b><font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="treal_1.html#K2" target="_self">(#)</a>  = 
<font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="txt" href="treal_1.html#E1:11"><i><font color="Green">E11</font></i></a>, <a class="ref" href="treal_1.html#D2" target="_self">Def2</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="treal_1.html#K2" target="_self">(#)</a> 
<b>by </b><i><a class="txt" href="treal_1.html#E2:11"><i><font color="Green">E12</font></i></a>, <a class="ref" href="treal_1.html#D2" target="_self">Def2</a></i>
;<br/>


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