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<span class="kw">let </span><font color="Maroon" title="c1">RK</font> be    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 16 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <span class="p1">(<span class="default">48 <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>)</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">  for <font color="Olive" title="b1">F</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default">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>)</span>,<span class="p2">(<span class="default">48 <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>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<span class="p1">(<span class="default">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>)</span><br/>  for <font color="Olive" title="b2">IP</font> being   <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of <span class="p1">(<span class="default">64 <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>)</span><br/>  for <font color="Olive" title="b3">M</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 64 <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> holds   <a href="descip_1.html#K40" title="DESCIP_1:func.40">DES-CoDec</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K40" title="DESCIP_1:func.40">DES-CoDec</a> (<font color="Olive" title="b3">M</font>,<font color="Olive" title="b1">F</font>,<font color="Olive" title="b2">IP</font>,<font color="Maroon" title="c1">RK</font>)</span>)</span>,<font color="Olive" title="b1">F</font>,<font color="Olive" title="b2">IP</font>,<span class="p1">(<span class="default"><a href="descip_1.html#K1" title="DESCIP_1:func.1">Rev</a> <font color="Maroon" title="c1">RK</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">M</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">F</font> be   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default">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>)</span>,<span class="p2">(<span class="default">48 <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>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<span class="p1">(<span class="default">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>)</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">  for <font color="Olive" title="b1">IP</font> being   <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of <span class="p1">(<span class="default">64 <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>)</span><br/>  for <font color="Olive" title="b2">M</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 64 <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> holds   <a href="descip_1.html#K40" title="DESCIP_1:func.40">DES-CoDec</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K40" title="DESCIP_1:func.40">DES-CoDec</a> (<font color="Olive" title="b2">M</font>,<font color="Maroon" title="c2">F</font>,<font color="Olive" title="b1">IP</font>,<font color="Maroon" title="c1">RK</font>)</span>)</span>,<font color="Maroon" title="c2">F</font>,<font color="Olive" title="b1">IP</font>,<span class="p1">(<span class="default"><a href="descip_1.html#K1" title="DESCIP_1:func.1">Rev</a> <font color="Maroon" title="c1">RK</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">M</font></span><br/><span class="kw">let </span><font color="Maroon" title="c3">IP</font> be   <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of <span class="p1">(<span class="default">64 <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>)</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">  for <font color="Olive" title="b1">M</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 64 <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> holds   <a href="descip_1.html#K40" title="DESCIP_1:func.40">DES-CoDec</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K40" title="DESCIP_1:func.40">DES-CoDec</a> (<font color="Olive" title="b1">M</font>,<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c3">IP</font>,<font color="Maroon" title="c1">RK</font>)</span>)</span>,<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c3">IP</font>,<span class="p1">(<span class="default"><a href="descip_1.html#K1" title="DESCIP_1:func.1">Rev</a> <font color="Maroon" title="c1">RK</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">M</font></span><br/><span class="kw">let </span><font color="Maroon" title="c4">M</font> be    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 64 <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>; <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">  <a href="descip_1.html#K40" title="DESCIP_1:func.40">DES-CoDec</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K40" title="DESCIP_1:func.40">DES-CoDec</a> (<font color="Maroon" title="c4">M</font>,<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c3">IP</font>,<font color="Maroon" title="c1">RK</font>)</span>)</span>,<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c3">IP</font>,<span class="p1">(<span class="default"><a href="descip_1.html#K1" title="DESCIP_1:func.1">Rev</a> <font color="Maroon" title="c1">RK</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">M</font></span><br/>







<span class="kw">reconsider </span><font color="Maroon" title="c5">IPX</font> = <font color="Maroon" title="c3">IP</font> as   <a href="funct_2.html#NM2" title="FUNCT_2:NM.2">Permutation</a> of <span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 32</span>)</span> <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>)</span> ;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c6">MX</font> = <font color="Maroon" title="c4">M</font> as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <span class="p1">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 32</span>)</span> <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">reconsider </span><font color="Maroon" title="c7">EM</font> =  <a href="descip_1.html#K39" title="DESCIP_1:func.39">DES-like-CoDec</a> (<font color="Maroon" title="c6">MX</font>,<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c5">IPX</font>,<font color="Maroon" title="c1">RK</font>) as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <span class="p1">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 32</span>)</span> <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">reconsider </span><font color="Maroon" title="c8">EM64</font> =  <a href="descip_1.html#K40" title="DESCIP_1:func.40">DES-CoDec</a> (<font color="Maroon" title="c4">M</font>,<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c3">IP</font>,<font color="Maroon" title="c1">RK</font>) as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 64 <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/>
<a NAME="E5:89"/>
<font color="Maroon" title="c7">EM</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">EM64</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="descip_1.html#D30" target="_self" onmouseover="rs('descip_1/D30')" onmouseout="rh()">Def30</a></span>;<br/>
<a NAME="E6:89"/><span class="kw">then </span>
 <a href="descip_1.html#K39" title="DESCIP_1:func.39">DES-like-CoDec</a> (<font color="Maroon" title="c7">EM</font>,<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c5">IPX</font>,<span class="p1">(<span class="default"><a href="descip_1.html#K1" title="DESCIP_1:func.1">Rev</a> <font color="Maroon" title="c1">RK</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K40" title="DESCIP_1:func.40">DES-CoDec</a> (<font color="Maroon" title="c8">EM64</font>,<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c3">IP</font>,<span class="p1">(<span class="default"><a href="descip_1.html#K1" title="DESCIP_1:func.1">Rev</a> <font color="Maroon" title="c1">RK</font></span>)</span>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="descip_1.html#D30" target="_self" onmouseover="rs('descip_1/D30')" onmouseout="rh()">Def30</a></span>;<br/>
<span class="kw">hence </span><a NAME="E7:89"/>
 <a href="descip_1.html#K40" title="DESCIP_1:func.40">DES-CoDec</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K40" title="DESCIP_1:func.40">DES-CoDec</a> (<font color="Maroon" title="c4">M</font>,<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c3">IP</font>,<font color="Maroon" title="c1">RK</font>)</span>)</span>,<font color="Maroon" title="c2">F</font>,<font color="Maroon" title="c3">IP</font>,<span class="p1">(<span class="default"><a href="descip_1.html#K1" title="DESCIP_1:func.1">Rev</a> <font color="Maroon" title="c1">RK</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">M</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="descip_1.html#T30" target="_self" onmouseover="rs('descip_1/T30')" onmouseout="rh()">Th30</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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