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<b>let </b><font color="Maroon">c<sub>1</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="E1:21"/>
 <a href="xxreal_0.html#K2" target="_self">-infty</a>  <a href="xxreal_0.html#R1" target="_self">&lt;=</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="xxreal_0.html#T5" target="_self">Th5</a></i>;<br/>
<b>hence </b><a NAME="E2:21"/>
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K1">REAL</a>  implies  <a href="xxreal_0.html#K2" target="_self">-infty</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="ref" href="xxreal_0.html#T1" target="_self">Th1</a>, <a class="ref" href="xxreal_0.html#T11" target="_self">Th11</a></i>;<br/>


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