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<b>let </b><font color="Maroon">S1</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> , <font color="Maroon">S2</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> , <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>assume </b><a NAME="E1:46"/><i><font color="Green">E39</font></i>: 
(  <a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">S1</font> <a href="xboole_0.html#R1">misses</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">S2</font> &amp;  <a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">S2</font> <a href="xboole_0.html#R1">misses</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">S1</font> &amp; <font color="Maroon">S</font> <a href="hidden.html#R1">=</a> <font color="Maroon">S1</font> <a href="circcomb.html#K3">+*</a> <font color="Maroon">S2</font> )
 ;<br/>

<b>let </b><font color="Maroon">A1</font> be  <a href="msualg_1.html#V5">non-empty</a> <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">S1</font>;<br/><b>let </b><font color="Maroon">A2</font> be  <a href="msualg_1.html#V5">non-empty</a> <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">S2</font>;<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>assume </b><a NAME="E2:46"/><i><font color="Green">E40</font></i>: 
( <font color="Maroon">A1</font> <a href="circcomb.html#R2">tolerates</a> <font color="Maroon">A2</font> &amp; <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <font color="Maroon">A1</font> <a href="circcomb.html#K4">+*</a> <font color="Maroon">A2</font> )
 ;<br/>

<b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<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">s0</font> be   <a href="circuit1.html#NM3">State</a> of <font color="Maroon">A1</font>;<br/>





<b>assume </b><a NAME="E3:46"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">s0</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> <a href="relat_1.html#K7">|</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S1</font>
 ;<br/>

<b>let </b><font color="Maroon">s3</font> be   <a href="circuit1.html#NM3">State</a> of <font color="Maroon">A2</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E4:46"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">s3</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s</font> <a href="relat_1.html#K7">|</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S2</font>
 <b>and </b><br/><a NAME="E5:46"/><i><font color="Green">E45</font></i>: 
(  not  <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s0</font>,<font color="Maroon">n</font> is <a href="circuit2.html#V1">stable</a> or  not  <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s3</font>,<font color="Maroon">n</font> is <a href="circuit2.html#V1">stable</a> )
 ;<br/>

<a NAME="E6:46"/>
( <span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">s</font>,<font color="Maroon">n</font></span>)</span> <a href="relat_1.html#K7">|</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S1</font> <a href="hidden.html#R1">=</a>  <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s0</font>,<font color="Maroon">n</font> &amp; <span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">s</font>,<font color="Maroon">n</font></span>)</span> <a href="relat_1.html#K7">|</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S2</font> <a href="hidden.html#R1">=</a>  <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s3</font>,<font color="Maroon">n</font> )
 
<b>by </b><i>, , , , , </i>;<br/>
<b>hence </b><a NAME="E7:46"/>
not  <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s</font>,<font color="Maroon">n</font> is <a href="circuit2.html#V1">stable</a>
 <b>by </b><i>, , , </i>;<br/>


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