<?xml version="1.0"?>
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<b>let </b><font color="Maroon">x</font> be  non <a href="facirc_1.html#V1">pair</a>  <a href="hidden.html#M1">set</a> , <font color="Maroon">b</font> be  non <a href="facirc_1.html#V1">pair</a>  <a href="hidden.html#M1">set</a> ;<br/>

<b>set </b><font color="Maroon">S1</font> =  <a href="twoscomp.html#K34" target="_self">CompStr</a> <font color="Maroon">x</font>,<font color="Maroon">b</font>;<br/>
<b>set </b><font color="Maroon">S2</font> =  <a href="twoscomp.html#K37" target="_self">IncrementStr</a> <font color="Maroon">x</font>,<font color="Maroon">b</font>;<br/>
<b>set </b><font color="Maroon">S</font> =  <a href="twoscomp.html#K40" target="_self">BitCompStr</a> <font color="Maroon">x</font>,<font color="Maroon">b</font>;<br/>
<a NAME="E1:50"/><i><font color="Green">E70</font></i>: 
(  <a href="msafree2.html#K4">InnerVertices</a> <span class="p1">(<span class="default"><a href="twoscomp.html#K34" target="_self">CompStr</a> <font color="Maroon">x</font>,<font color="Maroon">b</font></span>)</span> is   <a href="relat_1.html#NM1">Relation</a> &amp;  <a href="msafree2.html#K4">InnerVertices</a> <span class="p1">(<span class="default"><a href="twoscomp.html#K37" target="_self">IncrementStr</a> <font color="Maroon">x</font>,<font color="Maroon">b</font></span>)</span> is   <a href="relat_1.html#NM1">Relation</a> )
 
<b>by </b><i><a class="ref" href="twoscomp.html#D2" target="_self">Def2</a>, <a class="ref" href="twoscomp.html#D7" target="_self">Def7</a></i>;<br/>
<a NAME="E2:50"/>
(  <a href="msafree2.html#K2">InputVertices</a> <span class="p1">(<span class="default"><a href="twoscomp.html#K34" target="_self">CompStr</a> <font color="Maroon">x</font>,<font color="Maroon">b</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">b</font></span><a href="tarski.html#K2">}</a></span> &amp;  <a href="msafree2.html#K2">InputVertices</a> <span class="p1">(<span class="default"><a href="twoscomp.html#K37" target="_self">IncrementStr</a> <font color="Maroon">x</font>,<font color="Maroon">b</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">b</font></span><a href="tarski.html#K2">}</a></span> )
 
<b>by </b><i><a class="ref" href="twoscomp.html#D6" target="_self">Def6</a>, <a class="ref" href="twoscomp.html#D11" target="_self">Def11</a></i>;<br/>
<b>then </b> <a href="msafree2.html#K2">InputVertices</a> <span class="p1">(<span class="default"><a href="twoscomp.html#K40" target="_self">BitCompStr</a> <font color="Maroon">x</font>,<font color="Maroon">b</font></span>)</span> = 
<span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">b</font></span><a href="tarski.html#K2">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">b</font></span><a href="tarski.html#K2">}</a></span>
<b>by </b><i>, <a class="ref" href="facirc_1.html#T7">FACIRC_1:7</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">b</font></span><a href="tarski.html#K2">}</a></span>

;<br/>
<b>hence </b><a NAME="E4:50"/>
 <a href="msafree2.html#K2">InputVertices</a> <span class="p1">(<span class="default"><a href="twoscomp.html#K40" target="_self">BitCompStr</a> <font color="Maroon">x</font>,<font color="Maroon">b</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">b</font></span><a href="tarski.html#K2">}</a></span>
 ;<br/>


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