<?xml version="1.0"?>
<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="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ] <b>means </b>for <font color="Olive">z</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">d</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">z</font> <a href="binarith.html#K10">^</a> <span class="p3"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Olive">d</font></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Olive">z</font> <a href="binarith.html#K10">^</a> <span class="p1"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Olive">d</font></span><a href="binarith.html#K11">*&gt;</a></span>;<br/>
<a NAME="E1:23"/><i><font color="Green">E42</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">z</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">d</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">NZD</font> = <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">DPI</font> = <font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span>;<br/>
<b>set </b><font color="Maroon">NZ1</font> = <span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1;<br/>
<b>set </b><font color="Maroon">B1</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">E43</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">E44</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</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#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'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#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&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#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</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#K1">'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#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</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#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'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#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&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#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span> <a href="binarith.html#K1">'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#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</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#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'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#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&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#K1">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K1">'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#K10">'&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#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K8">TRUE</a>  <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="binarith.html#D4">BINARITH:def 4</a></i>
;<br/>
<i><font color="Green">E50</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'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#K4">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K10">'&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#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K10">'&amp;'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K1">'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#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'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#K4">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K10">'&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#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K10">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span> <a href="binarith.html#K1">'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#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'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#K4">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K10">'&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#K1">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K1">'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#K10">'&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#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K8">TRUE</a>  <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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>, </i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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="ref" href="binarith.html#D4">BINARITH:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'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#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K2">'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#K2">'xor'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</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#D8">BINARITH:def 8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'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#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K2">'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#K2">'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#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K2">'xor'</a> <a href="margrel1.html#K8">TRUE</a> </span>)</span></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="binarith.html#D4">BINARITH:def 4</a></i>
;<br/>
<i><font color="Green">E51</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">z</font> <a href="binarith.html#K10">^</a> <span class="p3"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d</font></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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#K8">+</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/>
<br/>.= 
<span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K8">+</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/>
<br/>.= 
<span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K10">^</a> <span class="p3"><a href="binarith.html#K11">&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#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p5">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</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#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="binarith.html#K8">+</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#K4">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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>, </i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K8">+</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#K10">^</a> <span class="p1"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span>
<b>by </b><i>, <a class="ref" href="binarith.html#T45">BINARITH:45</a></i>
;<br/>
<b>then </b><i><font color="Green">E52</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">z</font> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d</font></span><a href="binarith.html#K11">*&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#K4">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K8">+</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="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#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K2">'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#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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="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#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K2">'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#K2">'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"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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#K2">'xor'</a> <a href="margrel1.html#K8">TRUE</a> 
<b>by </b><i>, </i>
<br/>.= 
 <a href="margrel1.html#K9">'not'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="binarith.html#K8">+</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="ref" href="binarith.html#D4">BINARITH:def 4</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#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K2">'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#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</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="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#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K2">'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#K2">'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"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</font></span>)</span> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K2">'xor'</a> <a href="margrel1.html#K8">TRUE</a> 
<b>by </b><i>, </i>
<br/>.= 
 <a href="margrel1.html#K9">'not'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="binarith.html#D4">BINARITH:def 4</a></i>
<br/>.= 
<font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1

;<br/>
<b>reconsider </b><font color="Maroon">p</font> = <font color="Maroon">d</font>, <font color="Maroon">q</font> = <font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1 as  <a href="xboolean.html#V1">boolean</a>  <a href="hidden.html#M1">set</a>  ;<br/>
<i><font color="Green">E53</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">z</font> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d</font></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> 2 = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</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"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">p</font></span>)</span> <a href="xboolean.html#K5">'or'</a> <font color="Maroon">q</font></span>)</span> <a href="xboolean.html#K4">'&amp;'</a> <font color="Maroon">p</font></span>)</span> <a href="xboolean.html#K5">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">p</font></span>)</span> <a href="xboolean.html#K5">'or'</a> <font color="Maroon">q</font></span>)</span> <a href="xboolean.html#K4">'&amp;'</a> <span class="p3">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span> <a href="xboolean.html#K10">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboolean.html#T8">XBOOLEAN:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="xboolean.html#K4">'&amp;'</a> <span class="p4">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="xboolean.html#K5">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="xboolean.html#K4">'&amp;'</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="xboolean.html#K5">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">q</font></span>)</span> <a href="xboolean.html#K4">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">p</font></span>)</span> <a href="xboolean.html#K5">'or'</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span> <a href="xboolean.html#K10">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboolean.html#T8">XBOOLEAN:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">z</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#K1">'or'</a> <span class="p3">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">z</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">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><font color="Maroon">z</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"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="binarith.html#K1">'or'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</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#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</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#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</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"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <font color="Maroon">d</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <font color="Maroon">d</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</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#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <font color="Maroon">d</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</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#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <font color="Maroon">d</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</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"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><font color="Maroon">z</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">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <font color="Maroon">d</font></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</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">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'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">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</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">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="margrel1.html#T46">MARGREL1:46</a></i>
<br/>.= 
<font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><font color="Maroon">z</font> <a href="finseq_4.html#K4">/.</a> 1</span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><font color="Maroon">z</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#K10">'&amp;'</a> <font color="Maroon">d</font>
<b>by </b><i><a class="ref" href="binarith.html#T18">BINARITH:18</a></i>
<br/>.= 
<font color="Maroon">d</font>

;<br/>
<b>consider </b><font color="Maroon">k1</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="margrel1.html#K6">BOOLEAN</a> , <font color="Maroon">k2</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="E9:23_1"/><i><font color="Green">E54</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">z</font> <a href="binarith.html#K10">^</a> <span class="p3"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d</font></span><a href="binarith.html#K11">*&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">k1</font>,<font color="Maroon">k2</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="E10:23_1"/><i><font color="Green">E59</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">z</font> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d</font></span><a href="binarith.html#K11">*&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">k1</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">z</font> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d</font></span><a href="binarith.html#K11">*&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">k2</font> )
 
<b>by </b><i>, <a class="ref" href="finseq_4.html#T26">FINSEQ_4:26</a></i>;<br/>
<b>consider </b><font color="Maroon">k</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="E12:23_1"/><i><font color="Green">E60</font></i>: 
<font color="Maroon">z</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">k</font></span><a href="binarith.html#K11">*&gt;</a></span>
 <b>by </b><i><a class="ref" href="finseq_2.html#T117">FINSEQ_2:117</a></i>;<br/>
<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">z</font> <a href="binarith.html#K10">^</a> <span class="p3"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d</font></span><a href="binarith.html#K11">*&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">k</font>,<font color="Maroon">d</font></span><a href="finseq_4.html#K2">*&gt;</a></span>
 
<b>by </b><i>, , , , , <a class="ref" href="finseq_4.html#T25">FINSEQ_4:25</a></i>;<br/>
<b>hence </b><a NAME="E14:23_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">z</font> <a href="binarith.html#K10">^</a> <span class="p3"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d</font></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">z</font> <a href="binarith.html#K10">^</a> <span class="p1"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d</font></span><a href="binarith.html#K11">*&gt;</a></span>
 <b>by </b><i>, <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">E74</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">m</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>assume </b><a NAME="E1:23_2"/><i><font color="Green">E75</font></i>: 
<font color="Maroon">S<sub>1</sub></font>[<font color="Maroon">m</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">z</font> be   <a href="binarith.html#NM1">Tuple</a> of <span class="p1">(<span class="default"><font color="Maroon">m</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">d</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">t</font> being    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">m</font> <a href="finseq_2.html#K4">-tuples_on</a> <a href="margrel1.html#K6">BOOLEAN</a> , <font color="Maroon">k</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">E76</font></i>: 
<font color="Maroon">z</font> <a href="hidden.html#R1">=</a> <font color="Maroon">t</font> <a href="binarith.html#K10">^</a> <span class="p1"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">k</font></span><a href="binarith.html#K11">*&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">A</font> =  <a href="binarith.html#K9">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span>;<br/><b>set </b><font color="Maroon">B</font> =  <a href="binarith.html#K9">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</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">t</font> <a href="binarith.html#K10">^</a> <span class="p3"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">k</font></span><a href="binarith.html#K11">*&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">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p4">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span>
<b>by </b><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">t</font></span>)</span></span>)</span> <a href="binarith.html#K10">^</a> <span class="p1"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p5">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span>
<b>by </b><i/>
;<br/><a NAME="E4:23_2_1"/><b>then </b><i><font color="Green">E77</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">t</font> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">k</font></span><a href="binarith.html#K11">*&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">m</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#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</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">E78</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">t</font> <a href="binarith.html#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">k</font></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p1">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">k</font>
 <b>by </b><i><a class="ref" href="binarith.html#T3">BINARITH:3</a></i>;<br/><b>reconsider </b><font color="Maroon">p</font> = <font color="Maroon">k</font>, <font color="Maroon">q</font> =  <a href="binarith.html#K9">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span> as  <a href="xboolean.html#V1">boolean</a>  <a href="hidden.html#M1">set</a>  ;<br/><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="xboolean.html#K4">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">p</font></span>)</span> <a href="xboolean.html#K5">'or'</a> <span class="p4">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span> <a href="xboolean.html#K5">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">p</font></span>)</span> <a href="xboolean.html#K5">'or'</a> <span class="p4">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="xboolean.html#K4">'&amp;'</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="xboolean.html#K10">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboolean.html#T8">XBOOLEAN:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">k</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</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#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T27">BINARITH:27</a></i>
<br/>.= 
<font color="Maroon">k</font> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T34">BINARITH:34</a></i>
;<br/><a NAME="E8:23_2_1"/><b>then </b><i><font color="Green">E79</font></i>: 
<font color="Maroon">k</font> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">k</font> <a href="binarith.html#K2">'xor'</a> <a href="margrel1.html#K7">FALSE</a> 
 <b>by </b><i>, , </i>;<br/><i><font color="Green">E80</font></i>: <font color="Maroon">k</font> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><font color="Maroon">k</font> <a href="binarith.html#K2">'xor'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">k</font> <a href="binarith.html#K2">'xor'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</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#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</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#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span>

;<br/><a NAME="E10:23_2_1"/>
<font color="Maroon">k</font> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><font color="Maroon">k</font> <a href="binarith.html#K2">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="hidden.html#R1">=</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 NAME="E11:23_2_1"/><b>then </b><i><font color="Green">E81</font></i>: 
<span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span>
 <b>by </b><i>, , <a class="ref" href="binarith.html#T15">BINARITH:15</a></i>;<br/><i><font color="Green">E82</font></i>: <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</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#K2">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</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#K9">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span>

;<br/><i><font color="Green">E83</font></i>: <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K2">'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#K9">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span>

;<br/><a NAME="E14:23_2_1"/><i><font color="Green">E84</font></i>: 
<font color="Maroon">m</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">m</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">E85</font></i>:  <a href="binarith.html#K9">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</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">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> = 
 <a href="binarith.html#K9">add_ovfl</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&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">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
 <a href="binarith.html#K9">add_ovfl</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span>
<b>by </b><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#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'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#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">m</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#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K1">'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#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">m</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#K1">'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#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">m</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#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">m</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#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</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">E86</font></i>:  <a href="binarith.html#K9">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</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">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> = 
 <a href="binarith.html#K9">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p2">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span>
<b>by </b><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#K4">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p0">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">m</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#K4">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p0">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">m</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#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</font></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p0">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K7">FALSE</a>  <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">m</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"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</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">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p0">(<span class="default"><font color="Maroon">t</font> <a href="binarith.html#K10">^</a> <span class="p1"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">k</font></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="binarith.html#K8">+</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">m</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</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">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&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">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&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">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K9">'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#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p3">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="binarith.html#D4">BINARITH:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K9">'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#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p5">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span> <a href="binarith.html#K2">'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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p5">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="binarith.html#D8">BINARITH:def 8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p5">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">m</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#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p4">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">m</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#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span> <a href="binarith.html#K8">+</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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p0"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">m</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#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K8">+</a> <span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="binarith.html#K10">^</a> <span class="p5"><a href="binarith.html#K11">&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#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">m</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#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K5">carry</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span> <a href="binarith.html#K8">+</a> <span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <a href="margrel1.html#K7">FALSE</a> </span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K11">*&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">m</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p4"><a href="binarith.html#K11">&lt;*</a><span class="default"><a href="margrel1.html#K7">FALSE</a> </span><a href="binarith.html#K11">*&gt;</a></span></span>)</span></span>)</span> <a href="finseq_4.html#K4">/.</a> <span class="p2">(<span class="default"><font color="Maroon">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">k</font> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</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"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><font color="Maroon">k</font> <a href="binarith.html#K1">'or'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</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#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</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</font> = <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span>;<br/><b>reconsider </b><font color="Maroon">p</font> = <font color="Maroon">d</font>, <font color="Maroon">q</font> = <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p1">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p2">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p2">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span> as  <a href="xboolean.html#V1">boolean</a>  <a href="hidden.html#M1">set</a>  ;<br/><i><font color="Green">E87</font></i>: <span class="p1">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="xboolean.html#K4">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">p</font></span>)</span> <a href="xboolean.html#K5">'or'</a> <span class="p4">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span> <a href="xboolean.html#K5">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">p</font></span>)</span> <a href="xboolean.html#K5">'or'</a> <span class="p4">(<span class="default"><a href="xboolean.html#K3">'not'</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="xboolean.html#K4">'&amp;'</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="xboolean.html#K10">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="xboolean.html#T8">XBOOLEAN:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">d</font> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p5">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p0">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p4">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p5">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K1">'or'</a> <span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p0">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p1">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p1">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</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#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p2">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p3">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p3">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="binarith.html#T27">BINARITH:27</a></i>
<br/>.= 
<font color="Maroon">d</font> <a href="binarith.html#K2">'xor'</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</font></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">k</font></span>)</span> <a href="margrel1.html#K10">'&amp;'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">t</font></span>)</span>,<span class="p4">(<span class="default"><a href="binari_2.html#K2" target="_self">Bin1</a> <font color="Maroon">m</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">d</font> <a href="binarith.html#K2">'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">d</font>

;<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">z</font> <a href="binarith.html#K10">^</a> <span class="p3"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d</font></span><a href="binarith.html#K11">*&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">z</font></span>)</span> <a href="binarith.html#K10">^</a> <span class="p2"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p4">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p5">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</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">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span></span>)</span>
<b>by </b><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">z</font></span>)</span></span>)</span> <a href="binarith.html#K10">^</a> <span class="p1"><a href="binarith.html#K11">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="margrel1.html#K9">'not'</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="margrel1.html#K9">'not'</a> <font color="Maroon">d</font></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p5">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p0">(<span class="default"><a href="binarith.html#K4">'not'</a> <font color="Maroon">z</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">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="binarith.html#K2">'xor'</a> <span class="p3">(<span class="default"><a href="binarith.html#K9">add_ovfl</a> <span class="p4">(<span class="default"><a href="binarith.html#K4">'not'</a> <span class="p5">(<span class="default"><a href="binari_2.html#K3" target="_self">Neg2</a> <font color="Maroon">z</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">m</font> <a href="binop_2.html#K23">+</a> 1</span>)</span></span>)</span></span>)</span></span>)</span></span><a href="binarith.html#K11">*&gt;</a></span>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">z</font> <a href="binarith.html#K10">^</a> <span class="p1"><a href="binarith.html#K11">&lt;*</a><span class="default"><font color="Maroon">d</font></span><a href="binarith.html#K11">*&gt;</a></span>
<b>by </b><i>, , , , </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">m</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">m</font> being non <a href="xboole_0.html#V1">empty</a>  <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a>  holds  <font color="Maroon">S<sub>1</sub></font>[<font color="Olive">m</font>]
 <b>from </b><i><a class="ref" href="binarith.html#S1">BINARITH:sch 1</a>(, );</i><br/>


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