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<span class="kw">let </span><font color="Maroon" title="c1">r</font> be   <a href="xxreal_0.html#V1" title="XXREAL_0:attr.1">ext-real</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( not <font color="Maroon" title="c1">r</font> is  <a href="xxreal_0.html#V3" title="XXREAL_0:attr.3">negative</a>  &amp; not <font color="Maroon" title="c1">r</font> is  <a href="xxreal_0.html#NV2" title="XXREAL_0:NV.2">zero</a>  implies <font color="Maroon" title="c1">r</font> is  <a href="xxreal_0.html#V2" title="XXREAL_0:attr.2">positive</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:26_2_1"/>
( <font color="Maroon" title="c1">r</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>  &amp; <font color="Maroon" title="c1">r</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  )
 ; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="xxreal_0.html#D7" target="_self" title="XXREAL_0:def.7">XXREAL_0:def 7</a>,<a class="ref" href="xxreal_0.html#D8" target="_self" title="XXREAL_0:def.8">XXREAL_0:def 8</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">r</font> is  <a href="xxreal_0.html#V2" title="XXREAL_0:attr.2">positive</a> </span><br/>

<span class="kw">hence </span><a NAME="E2:26_2_1"/>
<font color="Maroon" title="c1">r</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> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="xxreal_0.html#T1" target="_self" title="XXREAL_0:th.1">Th1</a></span>; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="xxreal_0.html#D6" target="_self" title="XXREAL_0:def.6">XXREAL_0:def 6</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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