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<b>let </b><font color="Maroon" title="c1">a</font>, <font color="Maroon" title="c2">b</font>, <font color="Maroon" title="c3">c</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>assume </b><a NAME="E1:43"/><i><font color="Green" title="E28">A1</font></i>: 
( <font color="Maroon" title="c1">a</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c2">b</font> &amp; <font color="Maroon" title="c3">c</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1 )
 ;<br/>

<a NAME="E2:43"/><b>then </b><i><font color="Green" title="E29">A2</font></i>: 
<font color="Maroon" title="c3">c</font> <a href="power.html#K3" title="POWER:func.3">to_power</a> <font color="Maroon" title="c1">a</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<b>by </b><i><a class="ref" href="power.html#T39" target="_self" title="POWER:th.39">Th39</a></i>;<br/>
<a NAME="E3:43"/><i><font color="Green" title="E30">A3</font></i>: 
<font color="Maroon" title="c3">c</font> <a href="power.html#K3" title="POWER:func.3">to_power</a> <font color="Maroon" title="c1">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<b>by </b><i><a class="txt" href="power.html#E1:43"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="power.html#T39" target="_self" title="POWER:th.39">Th39</a></i>;<br/>
<a NAME="E4:43"/>
<font color="Maroon" title="c2">b</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Maroon" title="c1">a</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<b>by </b><i><a class="txt" href="power.html#E1:43"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="xreal_1.html#T52" title="XREAL_1:th.52">XREAL_1:52</a></i>;<br/>
<a NAME="E5:43"/><b>then </b>
<font color="Maroon" title="c3">c</font> <a href="power.html#K3" title="POWER:func.3">to_power</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">b</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Maroon" title="c1">a</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="power.html#E1:43"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="power.html#T40" target="_self" title="POWER:th.40">Th40</a></i>;<br/>
<a NAME="E6:43"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon" title="c3">c</font> <a href="power.html#K3" title="POWER:func.3">to_power</a> <font color="Maroon" title="c2">b</font></span>)</span> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">c</font> <a href="power.html#K3" title="POWER:func.3">to_power</a> <font color="Maroon" title="c1">a</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="power.html#E1:43"><i><font color="Green" title="E28">A1</font></i></a>, <a class="ref" href="power.html#T34" target="_self" title="POWER:th.34">Th34</a></i>;<br/>
<a NAME="E7:43"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c3">c</font> <a href="power.html#K3" title="POWER:func.3">to_power</a> <font color="Maroon" title="c2">b</font></span>)</span> <a href="xcmplx_0.html#K7" title="XCMPLX_0:func.7">/</a> <span class="p2">(<span class="default"><font color="Maroon" title="c3">c</font> <a href="power.html#K3" title="POWER:func.3">to_power</a> <font color="Maroon" title="c1">a</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">c</font> <a href="power.html#K3" title="POWER:func.3">to_power</a> <font color="Maroon" title="c1">a</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1 <a href="real_1.html#K8" title="REAL_1:func.8">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">c</font> <a href="power.html#K3" title="POWER:func.3">to_power</a> <font color="Maroon" title="c1">a</font></span>)</span>
 
<b>by </b><i><a class="txt" href="power.html#E2:43"><i><font color="Green" title="E29">A2</font></i></a>, <a class="ref" href="xreal_1.html#T70" title="XREAL_1:th.70">XREAL_1:70</a></i>;<br/>
<b>hence </b><a NAME="E8:43"/>
<font color="Maroon" title="c3">c</font> <a href="power.html#K3" title="POWER:func.3">to_power</a> <font color="Maroon" title="c1">a</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c3">c</font> <a href="power.html#K3" title="POWER:func.3">to_power</a> <font color="Maroon" title="c2">b</font>
 <b>by </b><i><a class="txt" href="power.html#E3:43"><i><font color="Green" title="E30">A3</font></i></a>, <a class="ref" href="xcmplx_1.html#T88" title="XCMPLX_1:th.88">XCMPLX_1:88</a></i>;<br/>


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