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<b>let </b><font color="Maroon">S</font> be  non <a href="struct_0.html#V3">empty</a> non <a href="msualg_1.html#V2">void</a> <a href="msafree2.html#V2">Circuit-like</a>  <a href="msualg_1.html#L1">ManySortedSign</a> ;<br/><b>let </b><font color="Maroon">A</font> be  <a href="msualg_1.html#V5">non-empty</a> <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">s</font> be   <a href="circuit1.html#NM3">State</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">n1</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> , <font color="Maroon">n2</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>







<b>assume </b><a NAME="E1:5"/><i><font color="Green">E39</font></i>: 
(  <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s</font>,<font color="Maroon">n1</font> is <a href="circuit2.html#V1">stable</a> &amp; <font color="Maroon">n1</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">n2</font> )
 ;<br/>

<b>consider </b><font color="Maroon">k</font> being   <a href="nat_1.html#NM1">Nat</a><b> such that </b><br/><a NAME="E3:5"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">n2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">n1</font> <a href="xcmplx_0.html#K2">+</a> <font color="Maroon">k</font>
 <b>by </b><i>, <a class="ref" href="nat_1.html#T28">NAT_1:28</a></i>;<br/>
<b>reconsider </b><font color="Maroon">k</font> = <font color="Maroon">k</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  <b>by </b><i><a class="ref" href="ordinal1.html#D13">ORDINAL1:def 13</a></i>;<br/>
<a NAME="E5:5"/>
 <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s</font>,<font color="Maroon">n2</font> <a href="hidden.html#R1">=</a>  <a href="facirc_1.html#K9">Following</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">s</font>,<font color="Maroon">n1</font></span>)</span>,<font color="Maroon">k</font>
 
<b>by </b><i>, <a class="ref" href="facirc_1.html#T13">FACIRC_1:13</a></i>;<br/>
<b>hence </b><a NAME="E6:5"/>
 <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s</font>,<font color="Maroon">n2</font> <a href="hidden.html#R1">=</a>  <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s</font>,<font color="Maroon">n1</font>
 <b>by </b><i>, </i>;<br/>


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