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

<b>let </b><font color="Maroon" title="c1">i</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">I</font> being  <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>   st <font color="Maroon" title="c1">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">I</font> &amp; <font color="Maroon" title="c1">i</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a> holds <br/><font color="Olive" title="b1">I</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a></span><br/><b>let </b><font color="Maroon" title="c2">I</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">I</font> &amp; <font color="Maroon" title="c1">i</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a> implies <font color="Maroon" title="c2">I</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a> )</span><br/>



<b>assume </b><a NAME="E1:75"/><i><font color="Green" title="E54">A1</font></i>: 
<font color="Maroon" title="c1">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">I</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  not <font color="Maroon" title="c1">i</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a> or <font color="Maroon" title="c2">I</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a> )</span><br/>

<b>assume </b><a NAME="E2:75"/><i><font color="Green" title="E55">A2</font></i>: 
<font color="Maroon" title="c1">i</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">I</font> is <a href="ami_1.html#V3" title="AMI_1:attr.3">halting</a></span><br/>

<b>let </b><font color="Maroon" title="c3">S</font> be   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c2">I</font>,<font color="Maroon" title="c3">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">S</font></span><br/>

<b>reconsider </b><font color="Maroon" title="c4">s</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c3">S</font> <a href="card_3.html#K11" title="CARD_3:func.11">|</a> <a href="ami_2.html#K3" title="AMI_2:func.3">SCM-Memory</a> </span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><a href="scmfsa_1.html#K5" title="SCMFSA_1:func.5">NAT</a>  <a href="funcop_1.html#K8" title="FUNCOP_1:func.8">--&gt;</a> <font color="Maroon" title="c1">i</font></span>)</span> as   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a>  <b>by </b><i><a class="ref" href="scmfsa_1.html#T18" title="SCMFSA_1:th.18">SCMFSA_1:18</a></i>;<br/>
<b>thus </b> <a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c2">I</font>,<font color="Maroon" title="c3">S</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">S</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p2">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <font color="Maroon" title="c1">i</font>,<font color="Maroon" title="c4">s</font></span>)</span></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">S</font> <a href="card_3.html#K11" title="CARD_3:func.11">|</a> <a href="scmfsa_1.html#K5" title="SCMFSA_1:func.5">NAT</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E1:75"><i><font color="Green" title="E54">A1</font></i></a>, <a class="ref" href="scmfsa_2.html#T75" target="_self" title="SCMFSA_2:th.75">Th75</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c3">S</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c4">s</font></span>)</span> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">S</font> <a href="card_3.html#K11" title="CARD_3:func.11">|</a> <a href="scmfsa_1.html#K5" title="SCMFSA_1:func.5">NAT</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmfsa_2.html#E2:75"><i><font color="Green" title="E55">A2</font></i></a>, <a class="ref" href="ami_1.html#D8" title="AMI_1:def.8">AMI_1:def 8</a></i>
<br/>.= 
<font color="Maroon" title="c3">S</font>
<b>by </b><i><a class="ref" href="scmfsa_2.html#T76" target="_self" title="SCMFSA_2:th.76">Th76</a></i>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
