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<b>let </b><font color="Maroon">S1</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="msualg_1.html#L1">ManySortedSign</a> , <font color="Maroon">S2</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="msualg_1.html#L1">ManySortedSign</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:34"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">S1</font> <a href="circcomb.html#R1">tolerates</a> <font color="Maroon">S2</font>
 <b>and </b><br/><a NAME="E2:34"/><i><font color="Green">E33</font></i>: 
 <a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">S1</font> <a href="hidden.html#R1">=</a>  <a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">S2</font>
 ;<br/>

<a NAME="E3:34"/><i><font color="Green">E37</font></i>: 
(  <a href="msafree2.html#K3">InnerVertices</a> <font color="Maroon">S1</font> <a href="xboole_0.html#R1">misses</a>  <a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">S1</font> &amp;  <a href="msafree2.html#K3">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">S2</font> )
 
<b>by </b><i><a class="ref" href="xboole_1.html#T79">XBOOLE_1:79</a></i>;<br/>
<b>thus </b> <a href="msafree2.html#K2">InputVertices</a> <span class="p1">(<span class="default"><font color="Maroon">S1</font> <a href="circcomb.html#K3">+*</a> <font color="Maroon">S2</font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">S1</font></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p2">(<span class="default"><a href="msafree2.html#K3">InnerVertices</a> <font color="Maroon">S2</font></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">S2</font></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p2">(<span class="default"><a href="msafree2.html#K3">InnerVertices</a> <font color="Maroon">S1</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="facirc_2.html#T1" target="_self">Th1</a>, <a class="ref" href="circcmb2.html#T6">CIRCCMB2:6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">S1</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">S2</font></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p2">(<span class="default"><a href="msafree2.html#K3">InnerVertices</a> <font color="Maroon">S1</font></span>)</span></span>)</span>
<b>by </b><i>, , <a class="ref" href="xboole_1.html#T83">XBOOLE_1:83</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">S1</font></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">S2</font></span>)</span>
<b>by </b><i>, , <a class="ref" href="xboole_1.html#T83">XBOOLE_1:83</a></i>
<br/>.= 
 <a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">S1</font>
<b>by </b><i/>
;<br/>


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