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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></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">E34</font></i>: 
(  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">c<sub>2</sub></font> <a href="xboole_0.html#R1">misses</a>  <a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="circcomb.html#K3" target="_self">+*</a> <font color="Maroon">c<sub>2</sub></font> )
 ;<br/>

<b>let </b><font color="Maroon">c<sub>4</sub></font> be  <a href="msualg_1.html#V5">non-empty</a> <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font> be  <a href="msualg_1.html#V5">non-empty</a> <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>6</sub></font> be  <a href="msualg_1.html#V5">non-empty</a> <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">c<sub>3</sub></font>;<br/>





<b>assume </b><b>that </b><br/><a NAME="E2:52"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="circcomb.html#R2" target="_self">tolerates</a> <font color="Maroon">c<sub>5</sub></font>
 <b>and </b><br/><a NAME="E3:52"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="circcomb.html#K4" target="_self">+*</a> <font color="Maroon">c<sub>5</sub></font>
 ;<br/>

<a NAME="E4:52"/>
<font color="Maroon">c<sub>1</sub></font> <a href="circcomb.html#R1" target="_self">tolerates</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="txt" href="circcomb.html#E2:52"><i><font color="Green">E35</font></i></a>, <a class="ref" href="circcomb.html#D3" target="_self">Def3</a></i>;<br/>
<a NAME="E5:52"/><b>then </b>
( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="circcomb.html#K3" target="_self">+*</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> <a href="circcomb.html#K4" target="_self">+*</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>5</sub></font> <a href="circcomb.html#R2" target="_self">tolerates</a> <font color="Maroon">c<sub>4</sub></font> )
 
<b>by </b><i><a class="txt" href="circcomb.html#E1:52"><i><font color="Green">E34</font></i></a>, <a class="txt" href="circcomb.html#E2:52"><i><font color="Green">E35</font></i></a>, <a class="txt" href="circcomb.html#E3:52"><i><font color="Green">E36</font></i></a>, <a class="ref" href="circcomb.html#T9" target="_self">Th9</a>, <a class="ref" href="circcomb.html#T23" target="_self">Th23</a>, <a class="ref" href="circcomb.html#T26" target="_self">Th26</a></i>;<br/>
<b>hence </b><a NAME="E6:52"/>
for <font color="Olive">b<sub>1</sub></font> being  <a href="circuit1.html#NM3">State</a> of <font color="Maroon">c<sub>6</sub></font><br/>for <font color="Olive">b<sub>2</sub></font> being  <a href="circuit1.html#NM3">State</a> of <font color="Maroon">c<sub>4</sub></font><br/>for <font color="Olive">b<sub>3</sub></font> being  <a href="circuit1.html#NM3">State</a> of <font color="Maroon">c<sub>5</sub></font> st <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="relat_1.html#K7">|</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="relat_1.html#K7">|</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font> holds <br/> <a href="circuit2.html#K6">Following</a> <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="circuit2.html#K6">Following</a> <font color="Olive">b<sub>3</sub></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">b<sub>2</sub></font></span>)</span>
 <b>by </b><i><a class="txt" href="circcomb.html#E1:52"><i><font color="Green">E34</font></i></a>, <a class="ref" href="circcomb.html#T39" target="_self">Th39</a></i>;<br/>


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