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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>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">a</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1 &amp; <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> &amp; <font color="Maroon" title="c3">c</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1 implies  <a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c3">c</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">c</font> )</span><br/>

<b>assume </b><b>that </b><br/><a NAME="E1:35"/><i><font color="Green" title="E29">A1</font></i>: 
<font color="Maroon" title="c1">a</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1
 <b>and </b><br/><a NAME="E2:35"/><i><font color="Green" title="E30">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>
 <b>and </b><br/><a NAME="E3:35"/><i><font color="Green" title="E31">A3</font></i>: 
<font color="Maroon" title="c3">c</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c3">c</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">c</font></span><br/>

<a NAME="E4:35"/>
<font color="Maroon" title="c2">b</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1
 
<b>by </b><i><a class="txt" href="#E1:35"><i><font color="Green" title="E29">A1</font></i></a>, <a class="txt" href="#E2:35"><i><font color="Green" title="E30">A2</font></i></a>, <a class="ref" href="xxreal_0.html#T2" title="XXREAL_0:th.2">XXREAL_0:2</a></i>;<br/>
<a NAME="E5:35"/><b>then </b>
 <a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">c</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c2">b</font>,1
 
<b>by </b><i><a class="txt" href="#E3:35"><i><font color="Green" title="E31">A3</font></i></a>, <a class="ref" href="pre_ff.html#T12" title="PRE_FF:th.12">PRE_FF:12</a></i>;<br/>
<a NAME="E6:35"/><b>then </b><i><font color="Green" title="E32">A4</font></i>: 
 <a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">c</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<b>by </b><i><a class="txt" href="#E1:35"><i><font color="Green" title="E29">A1</font></i></a>, <a class="txt" href="#E2:35"><i><font color="Green" title="E30">A2</font></i></a>, <a class="ref" href="power.html#T59" title="POWER:th.59">POWER:59</a></i>;<br/>
<a NAME="E7:35"/>
 <a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">b</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c1">a</font>
 
<b>by </b><i><a class="txt" href="#E1:35"><i><font color="Green" title="E29">A1</font></i></a>, <a class="txt" href="#E2:35"><i><font color="Green" title="E30">A2</font></i></a>, <a class="ref" href="pre_ff.html#T12" title="PRE_FF:th.12">PRE_FF:12</a></i>;<br/>
<a NAME="E8:35"/><b>then </b>
 <a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">b</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1
 
<b>by </b><i><a class="txt" href="#E1:35"><i><font color="Green" title="E29">A1</font></i></a>, <a class="ref" href="power.html#T60" title="POWER:th.60">POWER:60</a></i>;<br/>
<a NAME="E9:35"/><b>then </b>
<span class="p1">(<span class="default"><a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c2">b</font></span>)</span> <a href="real_1.html#K8" title="REAL_1:func.8">*</a> <span class="p1">(<span class="default"><a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">c</font></span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1 <a href="real_1.html#K8" title="REAL_1:func.8">*</a> <span class="p1">(<span class="default"><a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">c</font></span>)</span>
 
<b>by </b><i><a class="txt" href="#E6:35"><i><font color="Green" title="E32">A4</font></i></a>, <a class="ref" href="xreal_1.html#T66" title="XREAL_1:th.66">XREAL_1:66</a></i>;<br/>
<b>hence </b><a NAME="E10:35"/>
 <a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c1">a</font>,<font color="Maroon" title="c3">c</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a>  <a href="power.html#K6" title="POWER:func.6">log</a> <font color="Maroon" title="c2">b</font>,<font color="Maroon" title="c3">c</font>
 <b>by </b><i><a class="txt" href="#E1:35"><i><font color="Green" title="E29">A1</font></i></a>, <a class="txt" href="#E2:35"><i><font color="Green" title="E30">A2</font></i></a>, <a class="txt" href="#E3:35"><i><font color="Green" title="E31">A3</font></i></a>, <a class="ref" href="power.html#T64" title="POWER:th.64">POWER:64</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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