<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="scpqsort.html#K1" title="SCPQSORT:func.1">Partition</a> <a onclick="hs(this)" href="javascript:()">SCPQSORT:def 1 : <br/></a><span> <a href="scpqsort.html#K1" title="SCPQSORT:func.1">Partition</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,4)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K13" title="SCMPDS_2:func.13">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,2)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,2)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K13" title="SCMPDS_2:func.13">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,4,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K10" title="SCMPDS_2:func.10">:=</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K13" title="SCMPDS_2:func.13">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K9" title="COMPOS_1:func.9">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K10" title="SCMPDS_2:func.10">:=</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p0">(<span class="default"><a href="scmpds_6.html#K7" title="SCMPDS_6:func.7">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default">(<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 2</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,4,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default">(<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a>) <a href="scmpds_2.html#K16" title="SCMPDS_2:func.16">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6)</span>)</span>;<br/></span></div>
