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

<span class="kw">consider </span><font color="Maroon" title="c3">D1</font>, <font color="Maroon" title="c4">D2</font>, <font color="Maroon" title="c5">D3</font>, <font color="Maroon" title="c6">D4</font>, <font color="Maroon" title="c7">D5</font>, <font color="Maroon" title="c8">D6</font>, <font color="Maroon" title="c9">D7</font>, <font color="Maroon" title="c10">D8</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 6 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a><span class="kw"> such that </span><br/><a NAME="E2:79_1_1"/><span class="lab"><font color="Green" title="E37">A1</font></span>: 
( <font color="Maroon" title="c3">D1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 &amp; <font color="Maroon" title="c4">D2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 2 &amp; <font color="Maroon" title="c5">D3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 3 &amp; <font color="Maroon" title="c6">D4</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 4 &amp; <font color="Maroon" title="c7">D5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 5 &amp; <font color="Maroon" title="c8">D6</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 6 &amp; <font color="Maroon" title="c9">D7</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 7 &amp; <font color="Maroon" title="c10">D8</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 8 &amp;  <a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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"><span class="p0">(<span class="default"><font color="Maroon" title="c3">D1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c4">D2</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c5">D3</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c6">D4</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c7">D5</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c8">D6</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c9">D7</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c10">D8</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="descip_1.html#T29" target="_self" onmouseover="rs('descip_1/T29')" onmouseout="rh()">Th29</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c11">x1</font> =  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K16" title="DESCIP_1:func.16">DES-SBOX1</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Maroon" title="c3">D1</font></span>)</span></span>)</span> as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 4 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T131" onmouseover="rs('finseq_2/T131')" onmouseout="rh()">FINSEQ_2:131</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c12">x2</font> =  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K17" title="DESCIP_1:func.17">DES-SBOX2</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Maroon" title="c4">D2</font></span>)</span></span>)</span> as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 4 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T131" onmouseover="rs('finseq_2/T131')" onmouseout="rh()">FINSEQ_2:131</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c13">x3</font> =  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K18" title="DESCIP_1:func.18">DES-SBOX3</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Maroon" title="c5">D3</font></span>)</span></span>)</span> as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 4 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T131" onmouseover="rs('finseq_2/T131')" onmouseout="rh()">FINSEQ_2:131</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c14">x4</font> =  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K19" title="DESCIP_1:func.19">DES-SBOX4</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Maroon" title="c6">D4</font></span>)</span></span>)</span> as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 4 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T131" onmouseover="rs('finseq_2/T131')" onmouseout="rh()">FINSEQ_2:131</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c15">x5</font> =  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K20" title="DESCIP_1:func.20">DES-SBOX5</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Maroon" title="c7">D5</font></span>)</span></span>)</span> as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 4 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T131" onmouseover="rs('finseq_2/T131')" onmouseout="rh()">FINSEQ_2:131</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c16">x6</font> =  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K21" title="DESCIP_1:func.21">DES-SBOX6</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Maroon" title="c8">D6</font></span>)</span></span>)</span> as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 4 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T131" onmouseover="rs('finseq_2/T131')" onmouseout="rh()">FINSEQ_2:131</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c17">x7</font> =  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K22" title="DESCIP_1:func.22">DES-SBOX7</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Maroon" title="c9">D7</font></span>)</span></span>)</span> as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 4 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T131" onmouseover="rs('finseq_2/T131')" onmouseout="rh()">FINSEQ_2:131</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c18">x8</font> =  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K23" title="DESCIP_1:func.23">DES-SBOX8</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Maroon" title="c10">D8</font></span>)</span></span>)</span> as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 4 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T131" onmouseover="rs('finseq_2/T131')" onmouseout="rh()">FINSEQ_2:131</a></span>;<br/>
<a NAME="E11:79_1_1"/>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon" title="c11">x1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c12">x2</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c13">x3</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c14">x4</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c15">x5</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c16">x6</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c17">x7</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c18">x8</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 32
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="card_1.html#D7" onmouseover="rs('card_1/D7')" onmouseout="rh()">CARD_1:def 7</a></span>;<br/>
<a NAME="E12:79_1_1"/><span class="kw">then </span>
<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"><span class="p0">(<span class="default"><font color="Maroon" title="c11">x1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c12">x2</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c13">x3</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c14">x4</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c15">x5</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c16">x6</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c17">x7</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c18">x8</font> is    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 32 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_2.html#T92" onmouseover="rs('finseq_2/T92')" onmouseout="rh()">FINSEQ_2:92</a></span>;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c19">FIT</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 32 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a><span class="kw"> such that </span><br/><a NAME="E14:79_1_1"/><span class="lab"><font color="Green" title="E38">A2</font></span>: 
<font color="Maroon" title="c19">FIT</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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"><span class="p0">(<span class="default"><font color="Maroon" title="c11">x1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c12">x2</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c13">x3</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c14">x4</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c15">x5</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c16">x6</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c17">x7</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Maroon" title="c18">x8</font>
 ;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c20">PFIT</font> =  <a href="descip_1.html#K29" title="DESCIP_1:func.29">DES-P</a> <font color="Maroon" title="c19">FIT</font> as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 32 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> ;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c20">PFIT</font>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">D1</font>, <font color="Olive" title="b2">D2</font>, <font color="Olive" title="b3">D3</font>, <font color="Olive" title="b4">D4</font>, <font color="Olive" title="b5">D5</font>, <font color="Olive" title="b6">D6</font>, <font color="Olive" title="b7">D7</font>, <font color="Olive" title="b8">D8</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 6 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> ex <font color="Olive" title="b9">x1</font>, <font color="Olive" title="b10">x2</font>, <font color="Olive" title="b11">x3</font>, <font color="Olive" title="b12">x4</font>, <font color="Olive" title="b13">x5</font>, <font color="Olive" title="b14">x6</font>, <font color="Olive" title="b15">x7</font>, <font color="Olive" title="b16">x8</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 4 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> ex <font color="Olive" title="b17">C32</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 32 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> st <br/>( <font color="Olive" title="b1">D1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 &amp; <font color="Olive" title="b2">D2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 2 &amp; <font color="Olive" title="b3">D3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 3 &amp; <font color="Olive" title="b4">D4</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 4 &amp; <font color="Olive" title="b5">D5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 5 &amp; <font color="Olive" title="b6">D6</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 6 &amp; <font color="Olive" title="b7">D7</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 7 &amp; <font color="Olive" title="b8">D8</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 8 &amp;  <a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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"><span class="p0">(<span class="default"><font color="Olive" title="b1">D1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b2">D2</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b3">D3</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b4">D4</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b5">D5</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b6">D6</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b7">D7</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b8">D8</font> &amp; <font color="Olive" title="b9">x1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K16" title="DESCIP_1:func.16">DES-SBOX1</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b1">D1</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b10">x2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K17" title="DESCIP_1:func.17">DES-SBOX2</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b2">D2</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b11">x3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K18" title="DESCIP_1:func.18">DES-SBOX3</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b3">D3</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b12">x4</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K19" title="DESCIP_1:func.19">DES-SBOX4</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b4">D4</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b13">x5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K20" title="DESCIP_1:func.20">DES-SBOX5</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b5">D5</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b14">x6</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K21" title="DESCIP_1:func.21">DES-SBOX6</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b6">D6</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b15">x7</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K22" title="DESCIP_1:func.22">DES-SBOX7</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b7">D7</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b16">x8</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K23" title="DESCIP_1:func.23">DES-SBOX8</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b8">D8</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b17">C32</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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"><span class="p0">(<span class="default"><font color="Olive" title="b9">x1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b10">x2</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b11">x3</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b12">x4</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b13">x5</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b14">x6</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b15">x7</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b16">x8</font> &amp; <font color="Maroon" title="c20">PFIT</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K29" title="DESCIP_1:func.29">DES-P</a> <font color="Olive" title="b17">C32</font> )</span><br/>

<span class="kw">thus </span><a NAME="E16:79_1_1"/>
 ex <font color="Olive" title="b1">D1</font>, <font color="Olive" title="b2">D2</font>, <font color="Olive" title="b3">D3</font>, <font color="Olive" title="b4">D4</font>, <font color="Olive" title="b5">D5</font>, <font color="Olive" title="b6">D6</font>, <font color="Olive" title="b7">D7</font>, <font color="Olive" title="b8">D8</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 6 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> ex <font color="Olive" title="b9">x1</font>, <font color="Olive" title="b10">x2</font>, <font color="Olive" title="b11">x3</font>, <font color="Olive" title="b12">x4</font>, <font color="Olive" title="b13">x5</font>, <font color="Olive" title="b14">x6</font>, <font color="Olive" title="b15">x7</font>, <font color="Olive" title="b16">x8</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 4 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> ex <font color="Olive" title="b17">C32</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 32 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> st <br/>( <font color="Olive" title="b1">D1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 &amp; <font color="Olive" title="b2">D2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 2 &amp; <font color="Olive" title="b3">D3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 3 &amp; <font color="Olive" title="b4">D4</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 4 &amp; <font color="Olive" title="b5">D5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 5 &amp; <font color="Olive" title="b6">D6</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 6 &amp; <font color="Olive" title="b7">D7</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 7 &amp; <font color="Olive" title="b8">D8</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K30" title="DESCIP_1:func.30">DES-DIV8</a> <span class="p2">(<span class="default"><a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p3">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>)</span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 8 &amp;  <a href="descip_1.html#K11" title="DESCIP_1:func.11">Op-XOR</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K28" title="DESCIP_1:func.28">DES-E</a> <font color="Maroon" title="c1">R</font></span>)</span>,<font color="Maroon" title="c2">RKey</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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"><span class="p0">(<span class="default"><font color="Olive" title="b1">D1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b2">D2</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b3">D3</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b4">D4</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b5">D5</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b6">D6</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b7">D7</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b8">D8</font> &amp; <font color="Olive" title="b9">x1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K16" title="DESCIP_1:func.16">DES-SBOX1</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b1">D1</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b10">x2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K17" title="DESCIP_1:func.17">DES-SBOX2</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b2">D2</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b11">x3</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K18" title="DESCIP_1:func.18">DES-SBOX3</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b3">D3</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b12">x4</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K19" title="DESCIP_1:func.19">DES-SBOX4</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b4">D4</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b13">x5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K20" title="DESCIP_1:func.20">DES-SBOX5</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b5">D5</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b14">x6</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K21" title="DESCIP_1:func.21">DES-SBOX6</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b6">D6</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b15">x7</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K22" title="DESCIP_1:func.22">DES-SBOX7</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b7">D7</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b16">x8</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K32" title="DESCIP_1:func.32">N16toB4</a> <span class="p1">(<span class="default"><a href="descip_1.html#K23" title="DESCIP_1:func.23">DES-SBOX8</a> <a href="descip_1.html#K14" title="DESCIP_1:func.14">.</a> <span class="p2">(<span class="default"><a href="descip_1.html#K31" title="DESCIP_1:func.31">B6toN64</a> <font color="Olive" title="b8">D8</font></span>)</span></span>)</span> &amp; <font color="Olive" title="b17">C32</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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"><span class="p0">(<span class="default"><font color="Olive" title="b9">x1</font> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b10">x2</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b11">x3</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b12">x4</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b13">x5</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b14">x6</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b15">x7</font></span>)</span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <font color="Olive" title="b16">x8</font> &amp; <font color="Maroon" title="c20">PFIT</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K29" title="DESCIP_1:func.29">DES-P</a> <font color="Olive" title="b17">C32</font> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:79_1_1"><span class="lab"><font color="Green" title="E37">A1</font></span></a>, <a class="txt" href="#E14:79_1_1"><span class="lab"><font color="Green" title="E38">A2</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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