<?xml version="1.0"?>
<div class="add">

<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 NAME="E1:9"/>
<a href="gfacirc1.html#K3" target="_self">and2c</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> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font> <a href="margrel1.html#K10">'&amp;'</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/>;<br/>

<b>thus </b><a href="gfacirc1.html#K3" target="_self">and2c</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> = 
<font color="Maroon">x</font> <a href="margrel1.html#K10">'&amp;'</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/>
<br/>.= 
<a href="twoscomp.html#K3">and2a</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">y</font>,<font color="Maroon">x</font></span><a href="facirc_1.html#K6">*&gt;</a></span>
<b>by </b><i><a class="ref" href="twoscomp.html#D2">TWOSCOMP:def 2</a></i>
;<br/>

<b>thus </b><a href="gfacirc1.html#K3" target="_self">and2c</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> = 
 <a href="margrel1.html#K9">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">x</font></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">y</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<a href="twoscomp.html#K12">nor2a</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#D11">TWOSCOMP:def 11</a></i>
;<br/>

<b>thus </b><a href="gfacirc1.html#K3" target="_self">and2c</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K6">&lt;*</a><span class="default">0,0</span><a href="facirc_1.html#K6">*&gt;</a></span> = 
<a href="margrel1.html#K7">FALSE</a>  <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span>
<b>by </b><i/>
<br/>.= 
0

;<br/>

<b>thus </b><a href="gfacirc1.html#K3" target="_self">and2c</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K6">&lt;*</a><span class="default">0,1</span><a href="facirc_1.html#K6">*&gt;</a></span> = 
<a href="margrel1.html#K7">FALSE</a>  <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <a href="margrel1.html#K8">TRUE</a> </span>)</span>
<b>by </b><i/>
<br/>.= 
0

;<br/>

<b>thus </b><a href="gfacirc1.html#K3" target="_self">and2c</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K6">&lt;*</a><span class="default">1,0</span><a href="facirc_1.html#K6">*&gt;</a></span> = 
<a href="margrel1.html#K8">TRUE</a>  <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span>
<b>by </b><i/>
<br/>.= 
1

;<br/>

<b>thus </b><a href="gfacirc1.html#K3" target="_self">and2c</a>  <a href="funct_1.html#K1">.</a> <span class="p1"><a href="facirc_1.html#K6">&lt;*</a><span class="default">1,1</span><a href="facirc_1.html#K6">*&gt;</a></span> = 
<a href="margrel1.html#K8">TRUE</a>  <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <a href="margrel1.html#K8">TRUE</a> </span>)</span>
<b>by </b><i/>
<br/>.= 
0

;<br/>


</div>
