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<b>let </b><font color="Maroon" title="c1">a</font> be  <a href="xreal_0.html#V1" title="XREAL_0:attr.1">real</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ;<br/><b>let </b><font color="Maroon" title="c2">p</font> be   <a href="rat_1.html#NM1" title="RAT_1:NM.1">Rational</a>;<br/>



<b>assume </b><a NAME="E1:78"/><i><font color="Green" title="E65">A1</font></i>: 
( <font color="Maroon" title="c1">a</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 0 &amp; <font color="Maroon" title="c1">a</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> 1 &amp; <font color="Maroon" title="c2">p</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 0 )
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c3">q</font> = 0 as   <a href="rat_1.html#NM1" title="RAT_1:NM.1">Rational</a> ;<br/>
<a NAME="E3:78"/><i><font color="Green" title="E66">A2</font></i>: 
1 <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <font color="Maroon" title="c1">a</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1
 
<b>by </b><i><a class="txt" href="prepower.html#E1:78"><i><font color="Green" title="E65">A1</font></i></a>, <a class="txt" href="prepower.html#E54"><i><font color="Green" title="E36">Lm4</font></i></a>, <a class="ref" href="real_2.html#T151" title="REAL_2:th.151">REAL_2:151</a></i>;<br/>
<a NAME="E4:78"/><b>then </b>
<span class="p1">(<span class="default">1 <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <font color="Maroon" title="c1">a</font></span>)</span> <a href="prepower.html#K6" title="PREPOWER:func.6">#Q</a> <font color="Maroon" title="c2">p</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default">1 <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <font color="Maroon" title="c1">a</font></span>)</span> <a href="prepower.html#K6" title="PREPOWER:func.6">#Q</a> <font color="Maroon" title="c3">q</font>
 
<b>by </b><i><a class="txt" href="prepower.html#E1:78"><i><font color="Green" title="E65">A1</font></i></a>, <a class="ref" href="prepower.html#T75" target="_self" title="PREPOWER:th.75">Th75</a></i>;<br/>
<a NAME="E5:78"/><b>then </b>
<span class="p1">(<span class="default">1 <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <font color="Maroon" title="c1">a</font></span>)</span> <a href="prepower.html#K6" title="PREPOWER:func.6">#Q</a> <font color="Maroon" title="c2">p</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1
 
<b>by </b><i><a class="txt" href="prepower.html#E3:78"><i><font color="Green" title="E66">A2</font></i></a>, <a class="ref" href="prepower.html#T58" target="_self" title="PREPOWER:th.58">Th58</a></i>;<br/>
<a NAME="E6:78"/><b>then </b>
1 <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">a</font> <a href="prepower.html#K6" title="PREPOWER:func.6">#Q</a> <font color="Maroon" title="c2">p</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1
 
<b>by </b><i><a class="txt" href="prepower.html#E1:78"><i><font color="Green" title="E65">A1</font></i></a>, <a class="ref" href="prepower.html#T68" target="_self" title="PREPOWER:th.68">Th68</a></i>;<br/>
<b>hence </b><a NAME="E7:78"/>
<font color="Maroon" title="c1">a</font> <a href="prepower.html#K6" title="PREPOWER:func.6">#Q</a> <font color="Maroon" title="c2">p</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> 1
 <b>by </b><i><a class="ref" href="real_2.html#T117" title="REAL_2:th.117">REAL_2:117</a></i>;<br/>


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