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<b>let </b><font color="Maroon" title="c1">a</font>, <font color="Maroon" title="c2">b</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="c3">p</font> be   <a href="rat_1.html#NM1" title="RAT_1:NM.1">Rational</a>;<br/>





<b>assume </b><a NAME="E1:71"/><i><font color="Green" title="E57">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="c2">b</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 0 )
 ;<br/>

<a NAME="E2:71"/><b>then </b><i><font color="Green" title="E58">A2</font></i>: 
<font color="Maroon" title="c1">a</font> <a href="prepower.html#K6" title="PREPOWER:func.6">#Z</a> <span class="p1">(<span class="default"><a href="rat_1.html#K2" title="RAT_1:func.2">numerator</a> <font color="Maroon" title="c3">p</font></span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 0
 
<b>by </b><i><a class="ref" href="prepower.html#T49" target="_self" title="PREPOWER:th.49">Th49</a></i>;<br/>
<a NAME="E3:71"/><i><font color="Green" title="E59">A3</font></i>: 
<font color="Maroon" title="c2">b</font> <a href="prepower.html#K6" title="PREPOWER:func.6">#Z</a> <span class="p1">(<span class="default"><a href="rat_1.html#K2" title="RAT_1:func.2">numerator</a> <font color="Maroon" title="c3">p</font></span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 0
 
<b>by </b><i><a class="txt" href="prepower.html#E1:71"><i><font color="Green" title="E57">A1</font></i></a>, <a class="ref" href="prepower.html#T49" target="_self" title="PREPOWER:th.49">Th49</a></i>;<br/>
<a NAME="E4:71"/><i><font color="Green" title="E60">A4</font></i>: 
1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="rat_1.html#K1" title="RAT_1:func.1">denominator</a> <font color="Maroon" title="c3">p</font>
 
<b>by </b><i><a class="ref" href="rat_1.html#T29" title="RAT_1:th.29">RAT_1:29</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><font color="Maroon" title="c1">a</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c2">b</font></span>)</span> <a href="prepower.html#K8" title="PREPOWER:func.8">#Q</a> <font color="Maroon" title="c3">p</font> = 
<span class="p1">(<span class="default"><a href="rat_1.html#K1" title="RAT_1:func.1">denominator</a> <font color="Maroon" title="c3">p</font></span>)</span> <a href="prepower.html#K4" title="PREPOWER:func.4">-Root</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">a</font> <a href="prepower.html#K6" title="PREPOWER:func.6">#Z</a> <span class="p3">(<span class="default"><a href="rat_1.html#K2" title="RAT_1:func.2">numerator</a> <font color="Maroon" title="c3">p</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">b</font> <a href="prepower.html#K6" title="PREPOWER:func.6">#Z</a> <span class="p3">(<span class="default"><a href="rat_1.html#K2" title="RAT_1:func.2">numerator</a> <font color="Maroon" title="c3">p</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="prepower.html#T50" target="_self" title="PREPOWER:th.50">Th50</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">a</font> <a href="prepower.html#K8" title="PREPOWER:func.8">#Q</a> <font color="Maroon" title="c3">p</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">b</font> <a href="prepower.html#K8" title="PREPOWER:func.8">#Q</a> <font color="Maroon" title="c3">p</font></span>)</span>
<b>by </b><i><a class="txt" href="prepower.html#E2:71"><i><font color="Green" title="E58">A2</font></i></a>, <a class="txt" href="prepower.html#E3:71"><i><font color="Green" title="E59">A3</font></i></a>, <a class="txt" href="prepower.html#E4:71"><i><font color="Green" title="E60">A4</font></i></a>, <a class="ref" href="prepower.html#T31" target="_self" title="PREPOWER:th.31">Th31</a></i>
;<br/>


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