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<b>let </b><font color="Maroon" title="c4">n1</font>, <font color="Maroon" title="c5">n2</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:6_1_2"/><i><font color="Green" title="E6">A4</font></i>: 
(  <a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c3">s</font>,<font color="Maroon" title="c4">n1</font> is <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> &amp; ( for <font color="Olive" title="b1">n</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">n</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c4">n1</font> holds <br/> not  <a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c3">s</font>,<font color="Olive" title="b1">n</font> is <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> ) )
 <b>and </b><br/><a NAME="E2:6_1_2"/><i><font color="Green" title="E7">A5</font></i>: 
(  <a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c3">s</font>,<font color="Maroon" title="c5">n2</font> is <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> &amp; ( for <font color="Olive" title="b1">n</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">n</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c5">n2</font> holds <br/> not  <a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c3">s</font>,<font color="Olive" title="b1">n</font> is <a href="circuit2.html#V1" title="CIRCUIT2:attr.1">stable</a> ) )
 ;<br/>

<b>assume </b><a NAME="E3:6_1_2"/><i><font color="Green" title="E8">A6</font></i>: 
<font color="Maroon" title="c4">n1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">n2</font>
 ;<br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="6_1_2_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:6_1_2_1"/>
( <font color="Maroon" title="c4">n1</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c5">n2</font> or <font color="Maroon" title="c5">n2</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c4">n1</font> )
 </span><b>by </b><i><a class="txt" href="circcmb3.html#E3:6_1_2"><i><font color="Green" title="E8">A6</font></i></a>, <a class="ref" href="xxreal_0.html#T1" title="XXREAL_0:th.1">XXREAL_0:1</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="6_1_2_1_1"><b>suppose </b></a><a NAME="E1:6_1_2_1_1"/>
<font color="Maroon" title="c4">n1</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c5">n2</font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:6_1_2_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="circcmb3.html#E1:6_1_2"><i><font color="Green" title="E6">A4</font></i></a>, <a class="txt" href="circcmb3.html#E2:6_1_2"><i><font color="Green" title="E7">A5</font></i></a></i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="6_1_2_1_2"><b>suppose </b></a><a NAME="E1:6_1_2_1_2"/>
<font color="Maroon" title="c5">n2</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c4">n1</font>
 ;<br/><div class="add"><b>hence </b><a NAME="E2:6_1_2_1_2"/>
contradiction
 <b>by </b><i><a class="txt" href="circcmb3.html#E1:6_1_2"><i><font color="Green" title="E6">A4</font></i></a>, <a class="txt" href="circcmb3.html#E2:6_1_2"><i><font color="Green" title="E7">A5</font></i></a></i>;<br/></div><b>end;</b></div></div><b>end;</b></div>

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