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

<a NAME="E1:3_1_1"/>
<font color="Maroon" title="c2">a</font> <a href="scmfsa_7.html#K1" title="SCMFSA_7:func.1">:=</a> <font color="Maroon" title="c3">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmfsa_7.html#K2" title="SCMFSA_7:func.2">aSeq</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">k</font>)</span>)</span> <a href="ordinal4.html#K1" title="ORDINAL4:func.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="compos_1.html#K2" title="COMPOS_1:func.2">halt</a> <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a></span>)</span></span><a href="afinsq_1.html#K5" title="AFINSQ_1:func.5">%&gt;</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmfsa_7.html#T1" title="SCMFSA_7:th.1">SCMFSA_7:1</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:3_1_1"/>
( <font color="Maroon" title="c2">a</font> <a href="scmfsa_7.html#K1" title="SCMFSA_7:func.1">:=</a> <font color="Maroon" title="c3">k</font> is  <a href="afinsq_1.html#V1" title="AFINSQ_1:attr.1">initial</a>  &amp;  not <font color="Maroon" title="c2">a</font> <a href="scmfsa_7.html#K1" title="SCMFSA_7:func.1">:=</a> <font color="Maroon" title="c3">k</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp; <font color="Maroon" title="c2">a</font> <a href="scmfsa_7.html#K1" title="SCMFSA_7:func.1">:=</a> <font color="Maroon" title="c3">k</font> is  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>  &amp; <font color="Maroon" title="c2">a</font> <a href="scmfsa_7.html#K1" title="SCMFSA_7:func.1">:=</a> <font color="Maroon" title="c3">k</font> is  the <a href="compos_1.html#U1" title="COMPOS_1:sel.1">Instructions</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
