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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="E1:52"/><i><font color="Green">E24</font></i>: 
(  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">S2</font> <a href="xboole_0.html#R1">misses</a>  <a href="msafree2.html#K2">InputVertices</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" target="_self">+*</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><b>that </b><br/><a NAME="E2:52"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">A1</font> <a href="circcomb.html#R2" target="_self">tolerates</a> <font color="Maroon">A2</font>
 <b>and </b><br/><a NAME="E3:52"/><i><font color="Green">E38</font></i>: 
<font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <font color="Maroon">A1</font> <a href="circcomb.html#K4" target="_self">+*</a> <font color="Maroon">A2</font>
 ;<br/>

<a NAME="E4:52"/>
<font color="Maroon">S1</font> <a href="circcomb.html#R1" target="_self">tolerates</a> <font color="Maroon">S2</font>
 
<b>by </b><i><a class="ref" href="circcomb.html#T2" target="_self">Th2</a>, </i>;<br/>
<a NAME="E5:52"/><b>then </b>
( <font color="Maroon">S</font> <a href="hidden.html#R1">=</a> <font color="Maroon">S2</font> <a href="circcomb.html#K3" target="_self">+*</a> <font color="Maroon">S1</font> &amp; <font color="Maroon">A</font> <a href="hidden.html#R1">=</a> <font color="Maroon">A2</font> <a href="circcomb.html#K4" target="_self">+*</a> <font color="Maroon">A1</font> &amp; <font color="Maroon">A2</font> <a href="circcomb.html#R2" target="_self">tolerates</a> <font color="Maroon">A1</font> )
 
<b>by </b><i>, <a class="ref" href="circcomb.html#T2" target="_self">Th2</a>, , , , </i>;<br/>
<b>hence </b><a NAME="E6:52"/>
for <font color="Olive">s</font> being  <a href="circuit1.html#NM3">State</a> of <font color="Maroon">A</font><br/> for <font color="Olive">s1</font> being  <a href="circuit1.html#NM3">State</a> of <font color="Maroon">A1</font><br/> for <font color="Olive">s2</font> being  <a href="circuit1.html#NM3">State</a> of <font color="Maroon">A2</font>  st <font color="Olive">s1</font> <a href="hidden.html#R1">=</a> <font color="Olive">s</font> <a href="relat_1.html#K7">|</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S1</font> &amp; <font color="Olive">s2</font> <a href="hidden.html#R1">=</a> <font color="Olive">s</font> <a href="relat_1.html#K7">|</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S2</font> holds <br/> <a href="circuit2.html#K6">Following</a> <font color="Olive">s</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="circuit2.html#K6">Following</a> <font color="Olive">s2</font></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><a href="circuit2.html#K6">Following</a> <font color="Olive">s1</font></span>)</span>
 <b>by </b><i>, </i>;<br/>


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