<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E10">Def10</font></span>   defines <a href="scm_comp.html#K13" title="SCM_COMP:func.13">Selfwork</a> <a onclick="hs(this)" href="javascript:()">SCM_COMP:def 10 : <br/></a><span> for <font color="Olive" title="b1">nt</font> being   <a href="dtconstr.html#NM3" title="DTCONSTR:NM.3">NonTerminal</a> of <a href="scm_comp.html#K1" title="SCM_COMP:func.1">SCM-AE</a><br/>  for <font color="Olive" title="b2">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( ( <font color="Olive" title="b1">nt</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,<a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> implies  <a href="scm_comp.html#K13" title="SCM_COMP:func.13">Selfwork</a> (<font color="Olive" title="b1">nt</font>,<font color="Olive" title="b2">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="afinsq_1.html#K5" title="AFINSQ_1:func.5">&lt;%</a><span class="default"><span class="p2">(<span class="default"><a href="ami_3.html#K3" title="AMI_3:func.3">AddTo</a> (<span class="p3">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <font color="Olive" title="b2">n</font></span>)</span>,<span class="p3">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <span class="p4">(<span class="default"><font color="Olive" title="b2">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span></span><a href="afinsq_1.html#K5" title="AFINSQ_1:func.5">%&gt;</a></span> ) &amp; ( <font color="Olive" title="b1">nt</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,1</span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> implies  <a href="scm_comp.html#K13" title="SCM_COMP:func.13">Selfwork</a> (<font color="Olive" title="b1">nt</font>,<font color="Olive" title="b2">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="afinsq_1.html#K5" title="AFINSQ_1:func.5">&lt;%</a><span class="default"><span class="p2">(<span class="default"><a href="ami_3.html#K4" title="AMI_3:func.4">SubFrom</a> (<span class="p3">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <font color="Olive" title="b2">n</font></span>)</span>,<span class="p3">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <span class="p4">(<span class="default"><font color="Olive" title="b2">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span></span><a href="afinsq_1.html#K5" title="AFINSQ_1:func.5">%&gt;</a></span> ) &amp; ( <font color="Olive" title="b1">nt</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,2</span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> implies  <a href="scm_comp.html#K13" title="SCM_COMP:func.13">Selfwork</a> (<font color="Olive" title="b1">nt</font>,<font color="Olive" title="b2">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="afinsq_1.html#K5" title="AFINSQ_1:func.5">&lt;%</a><span class="default"><span class="p2">(<span class="default"><a href="ami_3.html#K5" title="AMI_3:func.5">MultBy</a> (<span class="p3">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <font color="Olive" title="b2">n</font></span>)</span>,<span class="p3">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <span class="p4">(<span class="default"><font color="Olive" title="b2">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span></span><a href="afinsq_1.html#K5" title="AFINSQ_1:func.5">%&gt;</a></span> ) &amp; ( <font color="Olive" title="b1">nt</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,3</span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> implies  <a href="scm_comp.html#K13" title="SCM_COMP:func.13">Selfwork</a> (<font color="Olive" title="b1">nt</font>,<font color="Olive" title="b2">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="afinsq_1.html#K5" title="AFINSQ_1:func.5">&lt;%</a><span class="default"><span class="p2">(<span class="default"><a href="ami_3.html#K6" title="AMI_3:func.6">Divide</a> (<span class="p3">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <font color="Olive" title="b2">n</font></span>)</span>,<span class="p3">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <span class="p4">(<span class="default"><font color="Olive" title="b2">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span></span><a href="afinsq_1.html#K5" title="AFINSQ_1:func.5">%&gt;</a></span> ) &amp; ( <font color="Olive" title="b1">nt</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a>,4</span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> implies  <a href="scm_comp.html#K13" title="SCM_COMP:func.13">Selfwork</a> (<font color="Olive" title="b1">nt</font>,<font color="Olive" title="b2">n</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="afinsq_1.html#K6" title="AFINSQ_1:func.6">&lt;%</a><span class="default"><span class="p2">(<span class="default"><a href="ami_3.html#K6" title="AMI_3:func.6">Divide</a> (<span class="p3">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <font color="Olive" title="b2">n</font></span>)</span>,<span class="p3">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <span class="p4">(<span class="default"><font color="Olive" title="b2">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span>)</span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <font color="Olive" title="b2">n</font></span>)</span> <a href="ami_3.html#K2" title="AMI_3:func.2">:=</a> <span class="p3">(<span class="default"><a href="ami_3.html#K10" title="AMI_3:func.10">dl.</a> <span class="p4">(<span class="default"><font color="Olive" title="b2">n</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span></span>)</span></span><a href="afinsq_1.html#K6" title="AFINSQ_1:func.6">%&gt;</a></span> ) );<br/></span></div>
