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

<span class="kw">let </span><font color="Maroon" title="c3">aa</font>, <font color="Maroon" title="c4">bb</font> be   <a href="scmfsa_2.html#NM1" title="SCMFSA_2:NM.1">Int-Location</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">I</font> being   <a href="compos_1.html#NM5" title="COMPOS_1:NM.5">MacroInstruction</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a>   st  not <font color="Olive" title="b1">I</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">destroys</a> <font color="Maroon" title="c3">aa</font> holds <br/> not  <a href="scmfsa_x.html#K4" title="SCMFSA_X:func.4">while&gt;0</a> (<font color="Maroon" title="c4">bb</font>,<font color="Olive" title="b1">I</font>) <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">destroys</a> <font color="Maroon" title="c3">aa</font></span><br/><span class="kw">let </span><font color="Maroon" title="c5">I</font> be   <a href="compos_1.html#NM5" title="COMPOS_1:NM.5">MacroInstruction</a> of  <a href="scmfsa_2.html#K1" title="SCMFSA_2:func.1">SCM+FSA</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  not <font color="Maroon" title="c5">I</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">destroys</a> <font color="Maroon" title="c3">aa</font> implies  not  <a href="scmfsa_x.html#K4" title="SCMFSA_X:func.4">while&gt;0</a> (<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c5">I</font>) <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">destroys</a> <font color="Maroon" title="c3">aa</font> )</span><br/>





<span class="kw">set </span><font color="Maroon" title="c6">F</font> =  <a href="scmfsa_x.html#K2" title="SCMFSA_X:func.2">if&gt;0</a> (<font color="Maroon" title="c4">bb</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">I</font> <a href="compos_2.html#K2" title="COMPOS_2:func.2">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">goto</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span></span>)</span>);<br/>
<span class="kw">assume </span><a NAME="E1:91"/>
 not <font color="Maroon" title="c5">I</font> <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">destroys</a> <font color="Maroon" title="c3">aa</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  not  <a href="scmfsa_x.html#K4" title="SCMFSA_X:func.4">while&gt;0</a> (<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c5">I</font>) <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">destroys</a> <font color="Maroon" title="c3">aa</font></span><br/>

<a NAME="E2:91"/><span class="kw">then </span><span class="lab"><font color="Green" title="E46">A1</font></span>: 
 not  <a href="scmfsa_x.html#K2" title="SCMFSA_X:func.2">if&gt;0</a> (<font color="Maroon" title="c4">bb</font>,<span class="p1">(<span class="default"><font color="Maroon" title="c5">I</font> <a href="compos_2.html#K2" title="COMPOS_2:func.2">';'</a> <span class="p2">(<span class="default"><a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">goto</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a></span>)</span></span>)</span>) <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">destroys</a> <font color="Maroon" title="c3">aa</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="scmfsa8c.html#E95"><span class="lab"><font color="Green" title="E44">Lm3</font></span></a></span>;<br/>
<a NAME="E3:91"/>
 not  <a href="scmfsa_2.html#K11" title="SCMFSA_2:func.11">goto</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="scmfsa7b.html#R3" title="SCMFSA7B:pred.3">destroys</a> <font color="Maroon" title="c3">aa</font>
 
;<br/>
<span class="kw">hence </span><a NAME="E4:91"/>
 not  <a href="scmfsa_x.html#K4" title="SCMFSA_X:func.4">while&gt;0</a> (<font color="Maroon" title="c4">bb</font>,<font color="Maroon" title="c5">I</font>) <a href="scmfsa7b.html#R4" title="SCMFSA7B:pred.4">destroys</a> <font color="Maroon" title="c3">aa</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:91"><span class="lab"><font color="Green" title="E46">A1</font></span></a>, <a class="ref" href="scmfsa8a.html#T42" onmouseover="rs('scmfsa8a/T42')" onmouseout="rh()">SCMFSA8A:42</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
