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

<span class="kw">let </span><font color="Maroon" title="c1">x</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#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">x</font></span><br/>

<span class="kw">set </span><font color="Maroon" title="c2">y</font> =  <a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c3">z</font> =  <a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span>;<br/>
<a NAME="E1:67"/>
(  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 64 &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 64 )
 
<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="E2:67"/><span class="kw">then </span><span class="lab"><font color="Green" title="E32">A1</font></span>: 
(  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> 64 &amp;  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> 64 )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_1.html#D3" onmouseover="rs('finseq_1/D3')" onmouseout="rh()">FINSEQ_1:def 3</a></span>;<br/>
<a NAME="E3:67"/><span class="lab"><font color="Green" title="E33">A2</font></span>: 
( <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 58 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 50 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 3 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 42 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 34 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 5 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 26 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 6 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 18 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 7 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 10 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 8 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 2 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 9 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 60 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 10 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 52 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 11 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 44 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 12 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 36 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 13 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 28 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 14 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 20 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 15 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 12 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 16 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 4 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 17 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 62 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 18 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 54 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 19 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 46 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 20 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 38 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 21 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 30 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 22 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 22 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 23 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 14 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 24 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 6 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 25 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 64 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 26 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 56 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 27 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 48 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 28 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 40 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 29 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 32 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 30 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 24 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 31 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 16 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 32 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 8 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 33 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 57 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 34 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 49 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 35 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 41 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 36 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 33 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 37 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 25 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 38 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 17 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 39 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 9 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 40 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 1 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 41 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 59 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 42 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 51 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 43 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 43 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 44 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 35 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 45 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 27 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 46 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 19 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 47 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 11 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 48 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 3 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 49 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 61 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 50 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 53 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 51 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 45 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 52 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 37 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 53 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 29 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 54 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 21 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 55 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 13 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 56 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 5 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 57 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 63 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 58 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 55 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 59 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 47 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 60 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 39 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 61 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 31 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 62 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 23 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 63 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 15 &amp; <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 64 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="descip_1.html#K10" title="DESCIP_1:func.10">.</a> 7 )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="descip_1.html#D14" target="_self" onmouseover="rs('descip_1/D14')" onmouseout="rh()">Def14</a></span>;<br/>
<a NAME="E4:67"/>
 for <font color="Olive" title="b1">i</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b1">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> 64 holds <br/><span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">x</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">i</font>
 
<div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="67_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">let </span><font color="Maroon" title="c4">i</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</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"> ( <font color="Maroon" title="c4">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> 64 implies <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">x</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">i</font> )</span><br/>

<span class="kw">assume </span><a NAME="E1:67_1"/>
<font color="Maroon" title="c4">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> 64
 ; <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"> <span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">x</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">i</font></span><br/>

<a NAME="E2:67_1"/><span class="kw">then </span>
 not  not <font color="Maroon" title="c4">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 &amp;  ...  &amp;  not <font color="Maroon" title="c4">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 64
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_1.html#T91" onmouseover="rs('finseq_1/T91')" onmouseout="rh()">FINSEQ_1:91</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:67_1"/>
<span class="p1">(<span class="default"><a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p2">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">x</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">i</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:67"><span class="lab"><font color="Green" title="E33">A2</font></span></a>, <a class="ref" href="descip_1.html#D16" target="_self" onmouseover="rs('descip_1/D16')" onmouseout="rh()">Def16</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/>


</div><span class="kw">end;</span></div>
<span class="kw">hence </span><a NAME="E5:67"/>
 <a href="descip_1.html#K24" title="DESCIP_1:func.24">DES-IP</a> <span class="p1">(<span class="default"><a href="descip_1.html#K26" title="DESCIP_1:func.26">DES-IPINV</a> <font color="Maroon" title="c1">x</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">x</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:67"><span class="lab"><font color="Green" title="E32">A1</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/>


</div>
