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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="real_1.html#NM1" title="REAL_1:NM.1">Real</a>;<br/>





<a NAME="E1:5"/>
( <font color="Maroon" title="c1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 &amp; <font color="Maroon" title="c3">c</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 0 implies <font color="Maroon" title="c1">a</font> <a href="power.html#K4" title="POWER:func.4">to_power</a> <font color="Maroon" title="c3">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 )
 
<b>by </b><i><a class="ref" href="power.html#D2" title="POWER:def.2">POWER:def 2</a></i>;<br/>
<b>hence </b><a NAME="E2:5"/>
( <font color="Maroon" title="c1">a</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 0 &amp; <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> 0 implies <font color="Maroon" title="c1">a</font> <a href="power.html#K4" title="POWER:func.4">to_power</a> <font color="Maroon" title="c3">c</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;</a> <font color="Maroon" title="c2">b</font> <a href="power.html#K4" title="POWER:func.4">to_power</a> <font color="Maroon" title="c3">c</font> )
 <b>by </b><i><a class="ref" href="power.html#T39" title="POWER:th.39">POWER:39</a>, <a class="ref" href="power.html#T42" title="POWER:th.42">POWER:42</a></i>;<br/>


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