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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="E1:15"/>
<font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#R1" target="_self">&lt;=</a>  <a href="xxreal_0.html#K1" target="_self">+infty</a> 
 
<b>by </b><i><a class="ref" href="xxreal_0.html#D5" target="_self">Def5</a>, <a class="txt" href="xxreal_0.html#E7"><i><font color="Green">Lemma4</font></i></a>, <a class="txt" href="xxreal_0.html#E9"><i><font color="Green">Lemma6</font></i></a></i>;<br/>
<b>hence </b><a NAME="E2:15"/>
(  <a href="xxreal_0.html#K1" target="_self">+infty</a>  <a href="xxreal_0.html#R1" target="_self">&lt;=</a> <font color="Maroon">c<sub>1</sub></font> implies <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="xxreal_0.html#K1" target="_self">+infty</a>  )
 <b>by </b><i><a class="ref" href="xxreal_0.html#T1" target="_self">Th1</a></i>;<br/>


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