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

<a NAME="E1:74_1_1"/>
<font color="Maroon" title="c1">r</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b1">s</font> where <font color="Olive" title="b1">s</font> is    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a>  :  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b1">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 48 </span> } </span> 
 
;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c2">s</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> <span class="kw"> such that </span><br/><a NAME="E3:74_1_1"/><span class="lab"><font color="Green" title="E34">A1</font></span>: 
( <font color="Maroon" title="c1">r</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">s</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c2">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 48 )
 ;<br/>
<a NAME="E4:74_1_1"/>
( 6 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font> &amp; 42 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 6 &amp; 12 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font> &amp; 36 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 12 &amp; 18 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font> &amp; 30 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 18 &amp; 24 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font> &amp; 24 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 24 &amp; 30 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font> &amp; 18 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 30 &amp; 36 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font> &amp; 12 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 36 &amp; 42 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font> &amp; 6 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c1">r</font></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 42 )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:74_1_1"><span class="lab"><font color="Green" title="E34">A1</font></span></a></span>;<br/>
<a NAME="E5:74_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E35">A2</font></span>: 
(  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,6)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 42 &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#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,12)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 36 &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#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,18)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 30 &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#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,24)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 24 &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#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,30)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 18 &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#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,36)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 12 &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#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,42)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="rfinseq.html#D1" onmouseover="rs('rfinseq/D1')" onmouseout="rh()">RFINSEQ:def 1</a></span>;<br/>
<a NAME="E6:74_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E36">A3</font></span>: 
(  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<font color="Maroon" title="c1">r</font>,6)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 &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#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p2">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,6)</span>)</span>,6)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 &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#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p2">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,12)</span>)</span>,6)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 &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#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p2">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,18)</span>)</span>,6)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 &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#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p2">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,24)</span>)</span>,6)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 &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#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p2">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,30)</span>)</span>,6)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 &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#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p2">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,36)</span>)</span>,6)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 6 )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:74_1_1"><span class="lab"><font color="Green" title="E34">A1</font></span></a>, <a class="ref" href="finseq_1.html#T59" onmouseover="rs('finseq_1/T59')" onmouseout="rh()">FINSEQ_1:59</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c3">x1</font> =  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<font color="Maroon" title="c1">r</font>,6) as    <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">by</span> <span class="lab"><a class="txt" href="#E6:74_1_1"><span class="lab"><font color="Green" title="E36">A3</font></span></a>, <a class="ref" href="finseq_2.html#T92" onmouseover="rs('finseq_2/T92')" onmouseout="rh()">FINSEQ_2:92</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c4">x2</font> =  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,6)</span>)</span>,6) as    <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">by</span> <span class="lab"><a class="txt" href="#E6:74_1_1"><span class="lab"><font color="Green" title="E36">A3</font></span></a>, <a class="ref" href="finseq_2.html#T92" onmouseover="rs('finseq_2/T92')" onmouseout="rh()">FINSEQ_2:92</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c5">x3</font> =  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,12)</span>)</span>,6) as    <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">by</span> <span class="lab"><a class="txt" href="#E6:74_1_1"><span class="lab"><font color="Green" title="E36">A3</font></span></a>, <a class="ref" href="finseq_2.html#T92" onmouseover="rs('finseq_2/T92')" onmouseout="rh()">FINSEQ_2:92</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c6">x4</font> =  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,18)</span>)</span>,6) as    <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">by</span> <span class="lab"><a class="txt" href="#E6:74_1_1"><span class="lab"><font color="Green" title="E36">A3</font></span></a>, <a class="ref" href="finseq_2.html#T92" onmouseover="rs('finseq_2/T92')" onmouseout="rh()">FINSEQ_2:92</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c7">x5</font> =  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,24)</span>)</span>,6) as    <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">by</span> <span class="lab"><a class="txt" href="#E6:74_1_1"><span class="lab"><font color="Green" title="E36">A3</font></span></a>, <a class="ref" href="finseq_2.html#T92" onmouseover="rs('finseq_2/T92')" onmouseout="rh()">FINSEQ_2:92</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c8">x6</font> =  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,30)</span>)</span>,6) as    <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">by</span> <span class="lab"><a class="txt" href="#E6:74_1_1"><span class="lab"><font color="Green" title="E36">A3</font></span></a>, <a class="ref" href="finseq_2.html#T92" onmouseover="rs('finseq_2/T92')" onmouseout="rh()">FINSEQ_2:92</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c9">x7</font> =  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,36)</span>)</span>,6) as    <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">by</span> <span class="lab"><a class="txt" href="#E6:74_1_1"><span class="lab"><font color="Green" title="E36">A3</font></span></a>, <a class="ref" href="finseq_2.html#T92" onmouseover="rs('finseq_2/T92')" onmouseout="rh()">FINSEQ_2:92</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c10">x8</font> =  <a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,42) as    <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">by</span> <span class="lab"><a class="txt" href="#E5:74_1_1"><span class="lab"><font color="Green" title="E35">A2</font></span></a>, <a class="ref" href="finseq_2.html#T92" onmouseover="rs('finseq_2/T92')" onmouseout="rh()">FINSEQ_2:92</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c11">T1</font> = <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c3">x1</font>,<font color="Maroon" title="c4">x2</font>,<font color="Maroon" title="c5">x3</font>,<font color="Maroon" title="c6">x4</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c12">T2</font> = <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c7">x5</font>,<font color="Maroon" title="c8">x6</font>,<font color="Maroon" title="c9">x7</font>,<font color="Maroon" title="c10">x8</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c13">T</font> = <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c3">x1</font>,<font color="Maroon" title="c4">x2</font>,<font color="Maroon" title="c5">x3</font>,<font color="Maroon" title="c6">x4</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c7">x5</font>,<font color="Maroon" title="c8">x6</font>,<font color="Maroon" title="c9">x7</font>,<font color="Maroon" title="c10">x8</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span>;<br/>
<a NAME="E15:74_1_1"/><span class="lab"><font color="Green" title="E37">A4</font></span>: 
<span class="p1">(<span class="default"><span class="p2"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c3">x1</font>,<font color="Maroon" title="c4">x2</font>,<font color="Maroon" title="c5">x3</font>,<font color="Maroon" title="c6">x4</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p2"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c7">x5</font>,<font color="Maroon" title="c8">x6</font>,<font color="Maroon" title="c9">x7</font>,<font color="Maroon" title="c10">x8</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c3">x1</font>,<font color="Maroon" title="c4">x2</font>,<font color="Maroon" title="c5">x3</font>,<font color="Maroon" title="c6">x4</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 &amp;  ...  &amp; <span class="p1">(<span class="default"><span class="p2"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c3">x1</font>,<font color="Maroon" title="c4">x2</font>,<font color="Maroon" title="c5">x3</font>,<font color="Maroon" title="c6">x4</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p2"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c7">x5</font>,<font color="Maroon" title="c8">x6</font>,<font color="Maroon" title="c9">x7</font>,<font color="Maroon" title="c10">x8</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c3">x1</font>,<font color="Maroon" title="c4">x2</font>,<font color="Maroon" title="c5">x3</font>,<font color="Maroon" title="c6">x4</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 4
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_3.html#T154" onmouseover="rs('finseq_3/T154')" onmouseout="rh()">FINSEQ_3:154</a></span>;<br/>
<a NAME="E16:74_1_1"/><span class="lab"><font color="Green" title="E38">A5</font></span>: 
<span class="p1">(<span class="default"><span class="p2"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c3">x1</font>,<font color="Maroon" title="c4">x2</font>,<font color="Maroon" title="c5">x3</font>,<font color="Maroon" title="c6">x4</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p2"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c7">x5</font>,<font color="Maroon" title="c8">x6</font>,<font color="Maroon" title="c9">x7</font>,<font color="Maroon" title="c10">x8</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default">4 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c7">x5</font>,<font color="Maroon" title="c8">x6</font>,<font color="Maroon" title="c9">x7</font>,<font color="Maroon" title="c10">x8</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 &amp;  ...  &amp; <span class="p1">(<span class="default"><span class="p2"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c3">x1</font>,<font color="Maroon" title="c4">x2</font>,<font color="Maroon" title="c5">x3</font>,<font color="Maroon" title="c6">x4</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p2"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c7">x5</font>,<font color="Maroon" title="c8">x6</font>,<font color="Maroon" title="c9">x7</font>,<font color="Maroon" title="c10">x8</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default">4 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c7">x5</font>,<font color="Maroon" title="c8">x6</font>,<font color="Maroon" title="c9">x7</font>,<font color="Maroon" title="c10">x8</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 4
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_3.html#T155" onmouseover="rs('finseq_3/T155')" onmouseout="rh()">FINSEQ_3:155</a></span>;<br/>
<a NAME="E17:74_1_1"/>
(  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><span class="p2"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c3">x1</font>,<font color="Maroon" title="c4">x2</font>,<font color="Maroon" title="c5">x3</font>,<font color="Maroon" title="c6">x4</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p2"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c7">x5</font>,<font color="Maroon" title="c8">x6</font>,<font color="Maroon" title="c9">x7</font>,<font color="Maroon" title="c10">x8</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 8 &amp; <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c3">x1</font>,<font color="Maroon" title="c4">x2</font>,<font color="Maroon" title="c5">x3</font>,<font color="Maroon" title="c6">x4</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c7">x5</font>,<font color="Maroon" title="c8">x6</font>,<font color="Maroon" title="c9">x7</font>,<font color="Maroon" title="c10">x8</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> is    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</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">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/>
<span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c14">T</font> = <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c3">x1</font>,<font color="Maroon" title="c4">x2</font>,<font color="Maroon" title="c5">x3</font>,<font color="Maroon" title="c6">x4</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> <a href="binarith.html#K9" title="BINARITH:func.9">^</a> <span class="p1"><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">&lt;*</a><span class="default"><font color="Maroon" title="c7">x5</font>,<font color="Maroon" title="c8">x6</font>,<font color="Maroon" title="c9">x7</font>,<font color="Maroon" title="c10">x8</font></span><a href="finseq_4.html#K9" title="FINSEQ_4:func.9">*&gt;</a></span> as    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of 8 <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <span class="p1">(<span class="default">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>)</span> <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">take </span>
<font color="Maroon" title="c14">T</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"> ( <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<font color="Maroon" title="c1">r</font>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,6)</span>)</span>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 3 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,12)</span>)</span>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,18)</span>)</span>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 5 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,24)</span>)</span>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 6 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,30)</span>)</span>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 7 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,36)</span>)</span>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 8 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,42) )</span><br/>

<span class="kw">thus </span><a NAME="E19:74_1_1"/>
( <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<font color="Maroon" title="c1">r</font>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,6)</span>)</span>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 3 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,12)</span>)</span>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 4 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,18)</span>)</span>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 5 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,24)</span>)</span>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 6 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,30)</span>)</span>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 7 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K2" title="DESCIP_1:func.2">Op-Left</a> (<span class="p1">(<span class="default"><a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,36)</span>)</span>,6) &amp; <font color="Maroon" title="c14">T</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 8 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="descip_1.html#K3" title="DESCIP_1:func.3">Op-Right</a> (<font color="Maroon" title="c1">r</font>,42) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E15:74_1_1"><span class="lab"><font color="Green" title="E37">A4</font></span></a>, <a class="txt" href="#E16:74_1_1"><span class="lab"><font color="Green" title="E38">A5</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>
