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<div class="add">

<b>defpred </b><font color="Maroon">S<sub>1</sub></font>[ non <a href="xboole_0.html#V1">empty</a> <a href="nat_1.html#NM1">Nat</a>] means for <font color="Olive">b<sub>1</sub></font> being  <a href="binarith.html#NM1">Tuple</a> of <font color="Maroon">a<sub>1</sub></font>,<a href="margrel1.html#K6">BOOLEAN</a> <br/>for <font color="Olive">b<sub>2</sub></font> being   <a href="subset_1.html#M1">Element</a> of  <a href="margrel1.html#K6">BOOLEAN</a>  holds  <a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p3"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Olive">b<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p1"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Olive">b<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span>;<br/>
<a NAME="E1:23"/><i><font color="Green">E16</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[1]
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="23_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="binarith.html#NM1">Tuple</a> of 1,<a href="margrel1.html#K6">BOOLEAN</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="margrel1.html#K6">BOOLEAN</a> ;<br/>



<b>set </b><font color="Maroon">c<sub>3</sub></font> = <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>4</sub></font> = <font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span>;<br/>
<b>set </b><font color="Maroon">c<sub>5</sub></font> = <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1;<br/>
<b>set </b><font color="Maroon">c<sub>6</sub></font> = <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1;<br/>
<a NAME="E1:23_1"/><i><font color="Green">E17</font></i>: 
1 <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K2">Seg</a> 1
 
<b>by </b><i><a class="ref" href="finseq_1.html#T5">FINSEQ_1:5</a></i>;<br/>
<i><font color="Green">E18</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T14">BINARITH:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D9">BINARITH:def 9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D5">BINARITH:def 5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D5">BINARITH:def 5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T49">MARGREL1:49</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T49">MARGREL1:49</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K8">TRUE</a>  <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binari_2.html#T7" target="_self">Th7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T50">MARGREL1:50</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binarith.html#D4">BINARITH:def 4</a></i>
;<br/>
<i><font color="Green">E19</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T14">BINARITH:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D9">BINARITH:def 9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D5">BINARITH:def 5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D5">BINARITH:def 5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T49">MARGREL1:49</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T49">MARGREL1:49</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K8">TRUE</a>  <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binari_2.html#T7" target="_self">Th7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T50">MARGREL1:50</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binarith.html#D4">BINARITH:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binarith.html#D8">BINARITH:def 8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D5">BINARITH:def 5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K8">TRUE</a> </span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binari_2.html#T7" target="_self">Th7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K8">TRUE</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T33">BINARITH:33</a>, <a class="ref" href="binarith.html#T34">BINARITH:34</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T13">BINARITH:13</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binarith.html#D4">BINARITH:def 4</a></i>
;<br/>
<i><font color="Green">E20</font></i>:  <a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p3"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> = 
 <a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p3">(<span class="default">1 <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p4">(<span class="default">1 <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p2">(<span class="default">1 <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p4">(<span class="default">1 <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p2">(<span class="default">1 <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binari_2.html#T11" target="_self">Th11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p2">(<span class="default">1 <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binari_2.html#T9" target="_self">Th9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="binarith.html#K12">^</a> <span class="p3"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p2">(<span class="default">1 <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T45">BINARITH:45</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K12">^</a> <span class="p2"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p2">(<span class="default">1 <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E2:23_1"><i><font color="Green">E18</font></i></a>, <a class="ref" href="binari_2.html#T11" target="_self">Th11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K12">^</a> <span class="p2"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="binarith.html#K12">^</a> <span class="p2"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>
<b>by </b><i><a class="ref" href="binari_2.html#T9" target="_self">Th9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="binarith.html#K12">^</a> <span class="p1"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span>
<b>by </b><i><a class="txt" href="binari_2.html#E3:23_1"><i><font color="Green">E19</font></i></a>, <a class="ref" href="binarith.html#T45">BINARITH:45</a></i>
;<br/>
<b>then </b><i><font color="Green">E21</font></i>: <span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1 = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binarith.html#T2">BINARITH:2</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binarith.html#D8">BINARITH:def 8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="ref" href="binarith.html#D5">BINARITH:def 5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K8">TRUE</a> </span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binari_2.html#T7" target="_self">Th7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K8">TRUE</a> 
<b>by </b><i><a class="ref" href="binarith.html#T33">BINARITH:33</a>, <a class="ref" href="binarith.html#T34">BINARITH:34</a></i>
<br/>.= 
 <a href="margrel1.html#K11">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T13">BINARITH:13</a></i>
<br/>.= 
 <a href="margrel1.html#K11">'not'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binarith.html#D4">BINARITH:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binarith.html#D8">BINARITH:def 8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> 1</span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="ref" href="binarith.html#D5">BINARITH:def 5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K8">TRUE</a> </span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binari_2.html#T7" target="_self">Th7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K8">TRUE</a> 
<b>by </b><i><a class="ref" href="binarith.html#T33">BINARITH:33</a>, <a class="ref" href="binarith.html#T34">BINARITH:34</a></i>
<br/>.= 
 <a href="margrel1.html#K11">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T13">BINARITH:13</a></i>
<br/>.= 
 <a href="margrel1.html#K11">'not'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="binarith.html#D4">BINARITH:def 4</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1

;<br/>
<i><font color="Green">E22</font></i>: <span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 2 = 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E4:23_1"><i><font color="Green">E20</font></i></a>, <a class="ref" href="binarith.html#T3">BINARITH:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D2">BINARITH:def 2</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T10">BINARITH:10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T9">BINARITH:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T9">BINARITH:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T22">BINARITH:22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T22">BINARITH:22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T22">BINARITH:22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T46">MARGREL1:46</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T46">MARGREL1:46</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D2">BINARITH:def 2</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T10">BINARITH:10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T9">BINARITH:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T9">BINARITH:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K3">'or'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K3">'or'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T52">MARGREL1:52</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T22">BINARITH:22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T46">MARGREL1:46</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T22">BINARITH:22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T52">MARGREL1:52</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T46">MARGREL1:46</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T49">MARGREL1:49</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T52">MARGREL1:52</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T16">BINARITH:16</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T22">BINARITH:22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T52">MARGREL1:52</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T16">BINARITH:16</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T52">MARGREL1:52</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T46">MARGREL1:46</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T49">MARGREL1:49</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T22">BINARITH:22</a></i>
<br/>.= 
<a href="margrel1.html#K8">TRUE</a>  <a href="margrel1.html#K12">'&amp;'</a> <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="binarith.html#T18">BINARITH:18</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="margrel1.html#T50">MARGREL1:50</a></i>
;<br/>
<b>consider </b><font color="Maroon">c<sub>7</sub></font>, <font color="Maroon">c<sub>8</sub></font> being    <a href="subset_1.html#M1">Element</a> of  <a href="margrel1.html#K6">BOOLEAN</a> <b> such that </b><br/><a NAME="E8:23_1"/><i><font color="Green">E23</font></i>: 
 <a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p3"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_4.html#K2">&lt;*</a><span class="default"><font color="Maroon">c<sub>7</sub></font>,<font color="Maroon">c<sub>8</sub></font></span><a href="finseq_4.html#K2">*&gt;</a></span>
 <b>by </b><i><a class="ref" href="finseq_2.html#T120">FINSEQ_2:120</a></i>;<br/>
<a NAME="E9:23_1"/><i><font color="Green">E24</font></i>: 
( <span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 1 <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>7</sub></font> &amp; <span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 2 <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>8</sub></font> )
 
<b>by </b><i><a class="txt" href="binari_2.html#E8:23_1"><i><font color="Green">E23</font></i></a>, <a class="ref" href="finseq_4.html#T26">FINSEQ_4:26</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>9</sub></font> being    <a href="subset_1.html#M1">Element</a> of  <a href="margrel1.html#K6">BOOLEAN</a> <b> such that </b><br/><a NAME="E11:23_1"/><i><font color="Green">E25</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>9</sub></font></span><a href="binarith.html#K13">*&gt;</a></span>
 <b>by </b><i><a class="ref" href="finseq_2.html#T117">FINSEQ_2:117</a></i>;<br/>
<a NAME="E12:23_1"/>
 <a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p3"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_4.html#K2">&lt;*</a><span class="default"><font color="Maroon">c<sub>9</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="finseq_4.html#K2">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="binari_2.html#E5:23_1"><i><font color="Green">E21</font></i></a>, <a class="txt" href="binari_2.html#E6:23_1"><i><font color="Green">E22</font></i></a>, <a class="txt" href="binari_2.html#E8:23_1"><i><font color="Green">E23</font></i></a>, <a class="txt" href="binari_2.html#E9:23_1"><i><font color="Green">E24</font></i></a>, <a class="txt" href="binari_2.html#E11:23_1"><i><font color="Green">E25</font></i></a>, <a class="ref" href="finseq_4.html#T25">FINSEQ_4:25</a></i>;<br/>
<b>hence </b><a NAME="E13:23_1"/>
 <a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p3"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="binarith.html#K12">^</a> <span class="p1"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="binarith.html#K13">*&gt;</a></span>
 <b>by </b><i><a class="txt" href="binari_2.html#E11:23_1"><i><font color="Green">E25</font></i></a>, <a class="ref" href="finseq_1.html#D9">FINSEQ_1:def 9</a></i>;<br/>


</div><b>end;</b></div>
<div><i><font color="Green">E17</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="23_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="xboole_0.html#V1">empty</a> <a href="nat_1.html#NM1">Nat</a>;<br/><b>assume </b><a NAME="E1:23_2"/><i><font color="Green">E18</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[<font color="Maroon">c<sub>1</sub></font>]
 ;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="23_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="binarith.html#NM1">Tuple</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span>,<a href="margrel1.html#K6">BOOLEAN</a> ;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="margrel1.html#K6">BOOLEAN</a> ;<br/><b>consider </b><font color="Maroon">c<sub>4</sub></font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">c<sub>1</sub></font> <a href="finseq_2.html#K4">-tuples_on</a> <a href="margrel1.html#K6">BOOLEAN</a> , <font color="Maroon">c<sub>5</sub></font> being    <a href="subset_1.html#M1">Element</a> of  <a href="margrel1.html#K6">BOOLEAN</a> <b> such that </b><br/><a NAME="E2:23_2_1"/><i><font color="Green">E19</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font> <a href="binarith.html#K12">^</a> <span class="p1"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="binarith.html#K13">*&gt;</a></span>
 <b>by </b><i><a class="ref" href="finseq_2.html#T137">FINSEQ_2:137</a></i>;<br/><b>set </b><font color="Maroon">c<sub>6</sub></font> =  <a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>;<br/><b>set </b><font color="Maroon">c<sub>7</sub></font> =  <a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>;<br/> <a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="binarith.html#K12">^</a> <span class="p3"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> = 
 <a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p2"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>
<b>by </b><i><a class="ref" href="binari_2.html#T16" target="_self">Th16</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="binarith.html#K12">^</a> <span class="p1"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span>
<b>by </b><i><a class="ref" href="binari_2.html#T16" target="_self">Th16</a></i>
;<br/><a NAME="E4:23_2_1"/><b>then </b><i><font color="Green">E20</font></i>: 
<span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="binarith.html#T3">BINARITH:3</a></i>;<br/><a NAME="E5:23_2_1"/><i><font color="Green">E21</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="binarith.html#K12">^</a> <span class="p2"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font>
 <b>by </b><i><a class="ref" href="binarith.html#T3">BINARITH:3</a></i>;<br/><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D2">BINARITH:def 2</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T10">BINARITH:10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T9">BINARITH:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T9">BINARITH:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T22">BINARITH:22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T27">BINARITH:27</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T27">BINARITH:27</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D2">BINARITH:def 2</a></i>
<br/>.= 
<font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T34">BINARITH:34</a></i>
;<br/><b>then </b><i><font color="Green">E22</font></i>: <font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> = 
<font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_2"><i><font color="Green">E18</font></i></a>, <a class="txt" href="binari_2.html#E4:23_2_1"><i><font color="Green">E20</font></i></a>, <a class="txt" href="binari_2.html#E5:23_2_1"><i><font color="Green">E21</font></i></a></i>
<br/>.= 
<font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="ref" href="binarith.html#T14">BINARITH:14</a></i>
;<br/><i><font color="Green">E23</font></i>: <font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K4">'xor'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T34">BINARITH:34</a></i>
<br/>.= 
<a href="margrel1.html#K7">FALSE</a>  <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T15">BINARITH:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T14">BINARITH:14</a></i>
;<br/><font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K4">'xor'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="ref" href="binarith.html#T34">BINARITH:34</a></i>
<br/>.= 
<a href="margrel1.html#K7">FALSE</a>  <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="ref" href="binarith.html#T15">BINARITH:15</a></i>
<br/>.= 
 <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="ref" href="binarith.html#T14">BINARITH:14</a></i>
;<br/><a NAME="E10:23_2_1"/><b>then </b><i><font color="Green">E24</font></i>: 
<span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="binari_2.html#E7:23_2_1"><i><font color="Green">E22</font></i></a>, <a class="txt" href="binari_2.html#E8:23_2_1"><i><font color="Green">E23</font></i></a>, <a class="ref" href="binarith.html#T15">BINARITH:15</a></i>;<br/><i><font color="Green">E25</font></i>: <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T34">BINARITH:34</a></i>
<br/>.= 
<a href="margrel1.html#K7">FALSE</a>  <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T15">BINARITH:15</a></i>
<br/>.= 
 <a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T14">BINARITH:14</a></i>
;<br/><i><font color="Green">E26</font></i>: <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="ref" href="binarith.html#T15">BINARITH:15</a></i>
<br/>.= 
 <a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T14">BINARITH:14</a></i>
;<br/><a NAME="E13:23_2_1"/><i><font color="Green">E27</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1 <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K2">Seg</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span>
 <b>by </b><i><a class="ref" href="finseq_1.html#T5">FINSEQ_1:5</a></i>;<br/><i><font color="Green">E28</font></i>:  <a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> = 
 <a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p2"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E2:23_2_1"><i><font color="Green">E19</font></i></a>, <a class="ref" href="binari_2.html#T11" target="_self">Th11</a></i>
<br/>.= 
 <a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p2"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p2"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>
<b>by </b><i><a class="ref" href="binari_2.html#T9" target="_self">Th9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D9">BINARITH:def 9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T3">BINARITH:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T3">BINARITH:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T49">MARGREL1:49</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="ref" href="margrel1.html#T49">MARGREL1:49</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p3"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T3">BINARITH:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T44">BINARITH:44</a></i>
;<br/><i><font color="Green">E29</font></i>:  <a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> = 
 <a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p2"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>
<b>by </b><i><a class="ref" href="binari_2.html#T9" target="_self">Th9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D9">BINARITH:def 9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T3">BINARITH:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T3">BINARITH:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T49">MARGREL1:49</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="ref" href="margrel1.html#T49">MARGREL1:49</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T7">BINARITH:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E2:23_2_1"><i><font color="Green">E19</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="binarith.html#K12">^</a> <span class="p1"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E2:23_2_1"><i><font color="Green">E19</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>4</sub></font> <a href="binarith.html#K12">^</a> <span class="p1"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>5</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binari_2.html#T11" target="_self">Th11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binari_2.html#T11" target="_self">Th11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binari_2.html#T9" target="_self">Th9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binari_2.html#T9" target="_self">Th9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E13:23_2_1"><i><font color="Green">E27</font></i></a>, <a class="ref" href="binarith.html#D4">BINARITH:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E13:23_2_1"><i><font color="Green">E27</font></i></a>, <a class="ref" href="binarith.html#D8">BINARITH:def 8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T3">BINARITH:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T3">BINARITH:3</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T44">BINARITH:44</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span> <a href="binarith.html#K10">+</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p0"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T14">BINARITH:14</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="binarith.html#K12">^</a> <span class="p5"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T45">BINARITH:45</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K7">carry</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p4"><a href="binarith.html#K13">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binari_2.html#T11" target="_self">Th11</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="binarith.html#K10">+</a> <span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T44">BINARITH:44</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="binari_2.html#E10:23_2_1"><i><font color="Green">E24</font></i></a>, <a class="txt" href="binari_2.html#E11:23_2_1"><i><font color="Green">E25</font></i></a>, <a class="txt" href="binari_2.html#E12:23_2_1"><i><font color="Green">E26</font></i></a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D2">BINARITH:def 2</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T10">BINARITH:10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T9">BINARITH:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T9">BINARITH:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T52">MARGREL1:52</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T25">BINARITH:25</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T27">BINARITH:27</a></i>
;<br/><b>set </b><font color="Maroon">c<sub>8</sub></font> = <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span>;<br/><i><font color="Green">E30</font></i>: <span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p0">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D2">BINARITH:def 2</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p0">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T10">BINARITH:10</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p0">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T9">BINARITH:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p0">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T9">BINARITH:9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p0">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p0">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="binarith.html#K3">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p0">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p0">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T22">BINARITH:22</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p0">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T27">BINARITH:27</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K3">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T27">BINARITH:27</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#D2">BINARITH:def 2</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="binarith.html#K4">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="margrel1.html#K12">'&amp;'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">c<sub>1</sub></font></span>)</span></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T34">BINARITH:34</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font> <a href="binarith.html#K4">'xor'</a> <a href="margrel1.html#K7">FALSE</a> 
<b>by </b><i><a class="ref" href="binarith.html#T15">BINARITH:15</a></i>
<br/>.= 
<font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="ref" href="binarith.html#T14">BINARITH:14</a></i>
;<br/><b>thus </b> <a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="binarith.html#K12">^</a> <span class="p3"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>3</sub></font></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span></span>)</span> = 
 <a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="binarith.html#K12">^</a> <span class="p2"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p4">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p0">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span></span>)</span>
<b>by </b><i><a class="ref" href="binari_2.html#T16" target="_self">Th16</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="binarith.html#K12">^</a> <span class="p1"><a href="binarith.html#K13">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K11">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K11">'not'</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p5">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K6">'not'</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K4">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K11">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K6">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <span class="p5">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K13">*&gt;</a></span>
<b>by </b><i><a class="ref" href="binari_2.html#T16" target="_self">Th16</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font> <a href="binarith.html#K12">^</a> <span class="p1"><a href="binarith.html#K13">&lt;*</a><span class="default"><font color="Maroon">c<sub>3</sub></font></span><a href="binarith.html#K13">*&gt;</a></span>
<b>by </b><i><a class="txt" href="binari_2.html#E1:23_2"><i><font color="Green">E18</font></i></a>, <a class="txt" href="binari_2.html#E2:23_2_1"><i><font color="Green">E19</font></i></a>, <a class="txt" href="binari_2.html#E14:23_2_1"><i><font color="Green">E28</font></i></a>, <a class="txt" href="binari_2.html#E15:23_2_1"><i><font color="Green">E29</font></i></a>, <a class="txt" href="binari_2.html#E16:23_2_1"><i><font color="Green">E30</font></i></a></i>
;<br/></div><b>end;</b></div><b>hence </b><a NAME="E3:23_2"/>
<font color="Maroon">S<sub>1</sub></font>[<font color="Maroon">c<sub>1</sub></font> <a href="binop_2.html#K23">+</a> 1]
 ;<br/></div><b>end;</b></div>
<b>thus </b><a NAME="E3:23"/>
for <font color="Olive">b<sub>1</sub></font> being non <a href="xboole_0.html#V1">empty</a> <a href="nat_1.html#NM1">Nat</a> holds <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">b<sub>1</sub></font>]
 <b>from </b><i><a class="ref" href="binarith.html#S1">BINARITH:sch 1</a>(<a class="txt" href="binari_2.html#E1:23"><i><font color="Green">E16</font></i></a>, <a class="txt" href="binari_2.html#E2:23"><i><font color="Green">E17</font></i></a>);</i><br/>


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