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

<b>let </b><font color="Maroon" title="c16">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>let </b><font color="Maroon" title="c17">s1</font>, <font color="Maroon" title="c18">s2</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a> ;<br/>





<b>set </b><font color="Maroon" title="c19">GA</font> =  <a href="scmp_gcd.html#K4" title="SCMP_GCD:func.4">GCD-Algorithm</a> ;<br/>
<b>set </b><font color="Maroon" title="c20">Cs1</font> =  <a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c17">s1</font>;<br/>
<b>set </b><font color="Maroon" title="c21">Cs2</font> =  <a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c18">s2</font>;<br/>
<b>assume </b><a NAME="E1:23"/><i><font color="Green" title="E23">A1</font></i>: 
(  <a href="scmp_gcd.html#K4" title="SCMP_GCD:func.4">GCD-Algorithm</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c17">s1</font> &amp;  <a href="scmp_gcd.html#K4" title="SCMP_GCD:func.4">GCD-Algorithm</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c18">s2</font> )
 ;<br/>

<b>assume </b><a NAME="E2:23"/><i><font color="Green" title="E24">A2</font></i>: 
 <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c17">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_3.html#K2" title="SCMPDS_3:func.2">inspos</a> 5
 ;<br/>

<b>assume </b><a NAME="E3:23"/><i><font color="Green" title="E25">A3</font></i>: 
<font color="Maroon" title="c16">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K3" title="SCMP_GCD:func.3">SBP</a> 
 ;<br/>

<b>assume </b><a NAME="E4:23"/><i><font color="Green" title="E26">A4</font></i>: 
<font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0
 ;<br/>

<b>assume </b><a NAME="E5:23"/><i><font color="Green" title="E27">A5</font></i>: 
<font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> <span class="p2">(<span class="default"><font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K3" title="SCMP_GCD:func.3">SBP</a> </span>)</span>,3</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 0
 ;<br/>

<b>assume </b><a NAME="E6:23"/><i><font color="Green" title="E28">A6</font></i>: 
(  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c18">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <font color="Maroon" title="c17">s1</font> &amp; <font color="Maroon" title="c18">s2</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K3" title="SCMP_GCD:func.3">SBP</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K3" title="SCMP_GCD:func.3">SBP</a>  &amp; <font color="Maroon" title="c18">s2</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 )
 ;<br/>

<b>assume </b><a NAME="E7:23"/><i><font color="Green" title="E29">A7</font></i>: 
( <font color="Maroon" title="c18">s2</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> <span class="p2">(<span class="default"><font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K3" title="SCMP_GCD:func.3">SBP</a> </span>)</span>,2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> <span class="p2">(<span class="default"><font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K3" title="SCMP_GCD:func.3">SBP</a> </span>)</span>,2</span>)</span> &amp; <font color="Maroon" title="c18">s2</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> <span class="p2">(<span class="default"><font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K3" title="SCMP_GCD:func.3">SBP</a> </span>)</span>,3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> <span class="p2">(<span class="default"><font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K3" title="SCMP_GCD:func.3">SBP</a> </span>)</span>,3</span>)</span> )
 ;<br/>

<a NAME="E8:23"/><i><font color="Green" title="E30">A8</font></i>: 
 <a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> <span class="p1">(<span class="default"><font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K3" title="SCMP_GCD:func.3">SBP</a> </span>)</span>,2 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p1">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span>
 
<b>by </b><i><a class="txt" href="scmp_gcd.html#E3:23"><i><font color="Green" title="E25">A3</font></i></a>, <a class="ref" href="scmp_gcd.html#T5" target="_self" title="SCMP_GCD:th.5">Th5</a></i>;<br/>
<a NAME="E9:23"/><i><font color="Green" title="E31">A9</font></i>: 
 <a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> <span class="p1">(<span class="default"><font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K3" title="SCMP_GCD:func.3">SBP</a> </span>)</span>,3 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p1">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 3</span>)</span>
 
<b>by </b><i><a class="txt" href="scmp_gcd.html#E3:23"><i><font color="Green" title="E25">A3</font></i></a>, <a class="ref" href="scmp_gcd.html#T5" target="_self" title="SCMP_GCD:th.5">Th5</a></i>;<br/>
<b>thus </b><a NAME="E10:23"/>
(  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c17">s1</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_3.html#K2" title="SCMPDS_3:func.2">inspos</a> <span class="p1">(<span class="default">5 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 7</span>)</span> &amp; <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c17">s1</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 8 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 7</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c17">s1</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c17">s1</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K3" title="SCMP_GCD:func.3">SBP</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c17">s1</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 )
 <b>by </b><i><a class="txt" href="scmp_gcd.html#E1:23"><i><font color="Green" title="E23">A1</font></i></a>, <a class="txt" href="scmp_gcd.html#E2:23"><i><font color="Green" title="E24">A2</font></i></a>, <a class="txt" href="scmp_gcd.html#E3:23"><i><font color="Green" title="E25">A3</font></i></a>, <a class="txt" href="scmp_gcd.html#E4:23"><i><font color="Green" title="E26">A4</font></i></a>, <a class="txt" href="scmp_gcd.html#E5:23"><i><font color="Green" title="E27">A5</font></i></a>, <a class="txt" href="scmp_gcd.html#E25"><i><font color="Green" title="E18">Lm6</font></i></a></i>;<br/>

<b>thus </b><a NAME="E11:23"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c17">s1</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p2">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p3">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span></span>)</span></span>)</span> <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <span class="p1">(<span class="default"><font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p3">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 3</span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmp_gcd.html#E1:23"><i><font color="Green" title="E23">A1</font></i></a>, <a class="txt" href="scmp_gcd.html#E2:23"><i><font color="Green" title="E24">A2</font></i></a>, <a class="txt" href="scmp_gcd.html#E3:23"><i><font color="Green" title="E25">A3</font></i></a>, <a class="txt" href="scmp_gcd.html#E4:23"><i><font color="Green" title="E26">A4</font></i></a>, <a class="txt" href="scmp_gcd.html#E5:23"><i><font color="Green" title="E27">A5</font></i></a>, <a class="txt" href="scmp_gcd.html#E8:23"><i><font color="Green" title="E30">A8</font></i></a>, <a class="txt" href="scmp_gcd.html#E9:23"><i><font color="Green" title="E31">A9</font></i></a>, <a class="txt" href="scmp_gcd.html#E25"><i><font color="Green" title="E18">Lm6</font></i></a></i>;<br/>

<b>thus </b><a NAME="E12:23"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c17">s1</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p2">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 6</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p2">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 3</span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmp_gcd.html#E1:23"><i><font color="Green" title="E23">A1</font></i></a>, <a class="txt" href="scmp_gcd.html#E2:23"><i><font color="Green" title="E24">A2</font></i></a>, <a class="txt" href="scmp_gcd.html#E3:23"><i><font color="Green" title="E25">A3</font></i></a>, <a class="txt" href="scmp_gcd.html#E4:23"><i><font color="Green" title="E26">A4</font></i></a>, <a class="txt" href="scmp_gcd.html#E5:23"><i><font color="Green" title="E27">A5</font></i></a>, <a class="txt" href="scmp_gcd.html#E9:23"><i><font color="Green" title="E31">A9</font></i></a>, <a class="txt" href="scmp_gcd.html#E25"><i><font color="Green" title="E18">Lm6</font></i></a></i>;<br/>

<b>thus </b><a NAME="E13:23"/>
(  <a href="ami_1.html#K6" title="AMI_1:func.6">IC</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c18">s2</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_3.html#K2" title="SCMPDS_3:func.2">inspos</a> <span class="p1">(<span class="default">5 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 7</span>)</span> &amp; <span class="p1">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c18">s2</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 8 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K4" title="SCMPDS_2:func.4">goto</a> <span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 7</span>)</span></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c18">s2</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c18">s2</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K3" title="SCMP_GCD:func.3">SBP</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c18">s2</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 0 )
 <b>by </b><i><a class="txt" href="scmp_gcd.html#E1:23"><i><font color="Green" title="E23">A1</font></i></a>, <a class="txt" href="scmp_gcd.html#E2:23"><i><font color="Green" title="E24">A2</font></i></a>, <a class="txt" href="scmp_gcd.html#E3:23"><i><font color="Green" title="E25">A3</font></i></a>, <a class="txt" href="scmp_gcd.html#E5:23"><i><font color="Green" title="E27">A5</font></i></a>, <a class="txt" href="scmp_gcd.html#E6:23"><i><font color="Green" title="E28">A6</font></i></a>, <a class="txt" href="scmp_gcd.html#E7:23"><i><font color="Green" title="E29">A7</font></i></a>, <a class="txt" href="scmp_gcd.html#E25"><i><font color="Green" title="E18">Lm6</font></i></a></i>;<br/>

<b>thus </b><a NAME="E14:23"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c18">s2</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p2">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p3">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 2</span>)</span></span>)</span></span>)</span> <a href="int_1.html#K6" title="INT_1:func.6">mod</a> <span class="p1">(<span class="default"><font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p3">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 3</span>)</span></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmp_gcd.html#E1:23"><i><font color="Green" title="E23">A1</font></i></a>, <a class="txt" href="scmp_gcd.html#E2:23"><i><font color="Green" title="E24">A2</font></i></a>, <a class="txt" href="scmp_gcd.html#E3:23"><i><font color="Green" title="E25">A3</font></i></a>, <a class="txt" href="scmp_gcd.html#E5:23"><i><font color="Green" title="E27">A5</font></i></a>, <a class="txt" href="scmp_gcd.html#E6:23"><i><font color="Green" title="E28">A6</font></i></a>, <a class="txt" href="scmp_gcd.html#E7:23"><i><font color="Green" title="E29">A7</font></i></a>, <a class="txt" href="scmp_gcd.html#E8:23"><i><font color="Green" title="E30">A8</font></i></a>, <a class="txt" href="scmp_gcd.html#E9:23"><i><font color="Green" title="E31">A9</font></i></a>, <a class="txt" href="scmp_gcd.html#E25"><i><font color="Green" title="E18">Lm6</font></i></a></i>;<br/>

<b>thus </b><a NAME="E15:23"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c18">s2</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p2">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 6</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c17">s1</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p2">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 3</span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmp_gcd.html#E1:23"><i><font color="Green" title="E23">A1</font></i></a>, <a class="txt" href="scmp_gcd.html#E2:23"><i><font color="Green" title="E24">A2</font></i></a>, <a class="txt" href="scmp_gcd.html#E3:23"><i><font color="Green" title="E25">A3</font></i></a>, <a class="txt" href="scmp_gcd.html#E5:23"><i><font color="Green" title="E27">A5</font></i></a>, <a class="txt" href="scmp_gcd.html#E6:23"><i><font color="Green" title="E28">A6</font></i></a>, <a class="txt" href="scmp_gcd.html#E7:23"><i><font color="Green" title="E29">A7</font></i></a>, <a class="txt" href="scmp_gcd.html#E9:23"><i><font color="Green" title="E31">A9</font></i></a>, <a class="txt" href="scmp_gcd.html#E25"><i><font color="Green" title="E18">Lm6</font></i></a></i>;<br/>

<b>thus </b><a NAME="E16:23"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c17">s1</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p2">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c16">n</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c17">s1</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p2">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 5</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_3.html#K2" title="SCMPDS_3:func.2">inspos</a> 11 )
 <b>by </b><i><a class="txt" href="scmp_gcd.html#E1:23"><i><font color="Green" title="E23">A1</font></i></a>, <a class="txt" href="scmp_gcd.html#E2:23"><i><font color="Green" title="E24">A2</font></i></a>, <a class="txt" href="scmp_gcd.html#E3:23"><i><font color="Green" title="E25">A3</font></i></a>, <a class="txt" href="scmp_gcd.html#E4:23"><i><font color="Green" title="E26">A4</font></i></a>, <a class="txt" href="scmp_gcd.html#E5:23"><i><font color="Green" title="E27">A5</font></i></a>, <a class="txt" href="scmp_gcd.html#E25"><i><font color="Green" title="E18">Lm6</font></i></a></i>;<br/>

<b>thus </b><a NAME="E17:23"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c18">s2</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p2">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 4</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c16">n</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c18">s2</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> 7</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p2">(<span class="default"><font color="Maroon" title="c16">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 5</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmpds_3.html#K2" title="SCMPDS_3:func.2">inspos</a> 11 )
 <b>by </b><i><a class="txt" href="scmp_gcd.html#E1:23"><i><font color="Green" title="E23">A1</font></i></a>, <a class="txt" href="scmp_gcd.html#E2:23"><i><font color="Green" title="E24">A2</font></i></a>, <a class="txt" href="scmp_gcd.html#E3:23"><i><font color="Green" title="E25">A3</font></i></a>, <a class="txt" href="scmp_gcd.html#E5:23"><i><font color="Green" title="E27">A5</font></i></a>, <a class="txt" href="scmp_gcd.html#E6:23"><i><font color="Green" title="E28">A6</font></i></a>, <a class="txt" href="scmp_gcd.html#E7:23"><i><font color="Green" title="E29">A7</font></i></a>, <a class="txt" href="scmp_gcd.html#E25"><i><font color="Green" title="E18">Lm6</font></i></a></i>;<br/>


</div>
