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<b>let </b><font color="Maroon">x</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="circcomb.html#K10">BOOLEAN</a> , <font color="Maroon">y</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="circcomb.html#K10">BOOLEAN</a> ;<br/>

<b>thus </b><a href="gfacirc1.html#K1" target="_self">inv1</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K5">&lt;*</a><span class="default"><span class="p2">(<span class="default"><a href="twoscomp.html#K14">xor2</a>  <a href="funct_1.html#K1">.</a> <span class="p3"><a href="facirc_1.html#K6">&lt;*</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="facirc_1.html#K6">*&gt;</a></span></span>)</span></span><a href="facirc_1.html#K5">*&gt;</a></span> = 
<a href="gfacirc1.html#K1" target="_self">inv1</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K5">&lt;*</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="binarith.html#K2">'xor'</a> <font color="Maroon">y</font></span>)</span></span><a href="facirc_1.html#K5">*&gt;</a></span>
<b>by </b><i><a class="ref" href="twoscomp.html#D13">TWOSCOMP:def 13</a></i>
<br/>.= 
 <a href="margrel1.html#K9">'not'</a> <span class="p1">(<span class="default"><font color="Maroon">x</font> <a href="binarith.html#K2">'xor'</a> <font color="Maroon">y</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">x</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <font color="Maroon">y</font>
<b>by </b><i><a class="ref" href="xboolean.html#T74">XBOOLEAN:74</a></i>
<br/>.= 
<a href="twoscomp.html#K15">xor2a</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K6">&lt;*</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="facirc_1.html#K6">*&gt;</a></span>
<b>by </b><i><a class="ref" href="twoscomp.html#D14">TWOSCOMP:def 14</a></i>
;<br/>

<b>hence </b><a NAME="E2:12"/>
<a href="gfacirc1.html#K1" target="_self">inv1</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K5">&lt;*</a><span class="default"><span class="p2">(<span class="default"><a href="twoscomp.html#K14">xor2</a>  <a href="funct_1.html#K1">.</a> <span class="p3"><a href="facirc_1.html#K6">&lt;*</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="facirc_1.html#K6">*&gt;</a></span></span>)</span></span><a href="facirc_1.html#K5">*&gt;</a></span> <a href="hidden.html#R1">=</a> <a href="gfacirc1.html#K4" target="_self">xor2c</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K6">&lt;*</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="facirc_1.html#K6">*&gt;</a></span>
 <b>by </b><i/>;<br/>

<b>thus </b><a href="twoscomp.html#K14">xor2</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K6">&lt;*</a><span class="default"><span class="p2">(<span class="default"><a href="gfacirc1.html#K1" target="_self">inv1</a>  <a href="funct_1.html#K1">.</a> <span class="p3"><a href="facirc_1.html#K5">&lt;*</a><span class="default"><font color="Maroon">x</font></span><a href="facirc_1.html#K5">*&gt;</a></span></span>)</span>,<span class="p2">(<span class="default"><a href="gfacirc1.html#K1" target="_self">inv1</a>  <a href="funct_1.html#K1">.</a> <span class="p3"><a href="facirc_1.html#K5">&lt;*</a><span class="default"><font color="Maroon">y</font></span><a href="facirc_1.html#K5">*&gt;</a></span></span>)</span></span><a href="facirc_1.html#K6">*&gt;</a></span> = 
<a href="twoscomp.html#K14">xor2</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K6">&lt;*</a><span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">x</font></span>)</span>,<span class="p2">(<span class="default"><a href="gfacirc1.html#K1" target="_self">inv1</a>  <a href="funct_1.html#K1">.</a> <span class="p3"><a href="facirc_1.html#K5">&lt;*</a><span class="default"><font color="Maroon">y</font></span><a href="facirc_1.html#K5">*&gt;</a></span></span>)</span></span><a href="facirc_1.html#K6">*&gt;</a></span>
<b>by </b><i/>
<br/>.= 
<a href="twoscomp.html#K14">xor2</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K6">&lt;*</a><span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">x</font></span>)</span>,<span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">y</font></span>)</span></span><a href="facirc_1.html#K6">*&gt;</a></span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">x</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">y</font></span>)</span>
<b>by </b><i><a class="ref" href="twoscomp.html#D13">TWOSCOMP:def 13</a></i>
<br/>.= 
<font color="Maroon">x</font> <a href="binarith.html#K2">'xor'</a> <font color="Maroon">y</font>

<br/>.= 
<a href="twoscomp.html#K14">xor2</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K6">&lt;*</a><span class="default"><font color="Maroon">x</font>,<font color="Maroon">y</font></span><a href="facirc_1.html#K6">*&gt;</a></span>
<b>by </b><i><a class="ref" href="twoscomp.html#D13">TWOSCOMP:def 13</a></i>
;<br/>


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