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<b>let </b><font color="Maroon" title="c1">a</font>, <font color="Maroon" title="c2">b</font> be  <a href="xxreal_0.html#V1" title="XXREAL_0:attr.1">ext-real</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:19"/><i><font color="Green" title="E16">A1</font></i>: 
<font color="Maroon" title="c1">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 <b>and </b><br/><a NAME="E2:19"/><i><font color="Green" title="E17">A2</font></i>: 
<font color="Maroon" title="c2">b</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> <font color="Maroon" title="c1">a</font>
 ;<br/>

<b>assume </b><a NAME="E3:19"/><i><font color="Green" title="E18">A3</font></i>: 
not <font color="Maroon" title="c2">b</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 ;<br/>

<a NAME="E4:19"/>
( <font color="Maroon" title="c2">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xxreal_0.html#K2" title="XXREAL_0:func.2">-infty</a>  implies <font color="Maroon" title="c1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xxreal_0.html#K2" title="XXREAL_0:func.2">-infty</a>  )
 
<b>by </b><i><a class="txt" href="xxreal_0.html#E2:19"><i><font color="Green" title="E17">A2</font></i></a>, <a class="txt" href="xxreal_0.html#E13"><i><font color="Green" title="E10">Lm7</font></i></a></i>;<br/>
<b>hence </b><a NAME="E5:19"/>
<font color="Maroon" title="c2">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xxreal_0.html#K1" title="XXREAL_0:func.1">+infty</a> 
 <b>by </b><i><a class="txt" href="xxreal_0.html#E3:19"><i><font color="Green" title="E18">A3</font></i></a>, <a class="txt" href="xxreal_0.html#E22"><i><font color="Green" title="E13">Lm9</font></i></a>, <a class="txt" href="xxreal_0.html#E1:19"><i><font color="Green" title="E16">A1</font></i></a></i>;<br/>


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