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<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ] <b>means </b> <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s</font>,<font color="Maroon">a<sub>1</sub></font> is <a href="circuit2.html#V1">stable</a>;<br/>
<a NAME="E1:6_1_1"/><i><font color="Green">E36</font></i>: 
 ex <font color="Olive">k</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">k</font>]
 
<b>by </b><i>, </i>;<br/>
<b>consider </b><font color="Maroon">m</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E3:6_1_1"/><i><font color="Green">E37</font></i>: 
( <font color="Maroon">S<sub>1</sub></font>[<font color="Maroon">m</font>] &amp; ( for <font color="Olive">n</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">n</font>] holds <br/><font color="Maroon">m</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Olive">n</font> ) )
 <b>from </b><i><a class="ref" href="nat_1.html#S5">NAT_1:sch 5</a>();<br/></i>
<b>take </b>
<font color="Maroon">m</font>
;<br/>

<b>thus </b><a NAME="E4:6_1_1"/>
(  <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s</font>,<font color="Maroon">m</font> is <a href="circuit2.html#V1">stable</a> &amp; ( for <font color="Olive">n</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>   st <font color="Olive">n</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">m</font> holds <br/> not  <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s</font>,<font color="Olive">n</font> is <a href="circuit2.html#V1">stable</a> ) )
 <b>by </b><i/>;<br/>


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