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<div class="add">

<b>thus </b><a NAME="E1:30_1_1"/>
not  <a href="scmfsa_4.html#K5" target="_self">SCM+FSA-Stop</a>  is <a href="xboole_0.html#V1">empty</a>
 ;<br/>

<a NAME="E2:30_1_1"/><i><font color="Green">E24</font></i>: 
 <a href="relat_1.html#K1">dom</a> <a href="scmfsa_4.html#K5" target="_self">SCM+FSA-Stop</a>  <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span></span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/>
<b>thus </b><a NAME="E3:30_1_1"/>
 <a href="scmfsa_4.html#K5" target="_self">SCM+FSA-Stop</a>  is <a href="scmfsa_4.html#V1" target="_self">initial</a>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="30_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="nat_1.html#NM1">Nat</a>; <i><font color="Red">:: according to </font></i><a class="ref" href="scmfsa_4.html#D4" target="_self">SCMFSA_4:def 4</a><br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:30_1_1_1"/><i><font color="Green">E25</font></i>: 
 <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <a href="scmfsa_4.html#K5" target="_self">SCM+FSA-Stop</a> 
 <b>and </b><br/><a NAME="E2:30_1_1_1"/><i><font color="Green">E26</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<a NAME="E3:30_1_1_1"/>
 <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K5">insloc</a> 0
 
<b>by </b><i><a class="txt" href="scmfsa_4.html#E2:30_1_1"><i><font color="Green">E24</font></i></a>, <a class="txt" href="scmfsa_4.html#E1:30_1_1_1"><i><font color="Green">E25</font></i></a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<a NAME="E4:30_1_1_1"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> 0
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T18">SCMFSA_2:18</a></i>;<br/>
<b>hence </b><a NAME="E5:30_1_1_1"/>
 <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <a href="scmfsa_4.html#K5" target="_self">SCM+FSA-Stop</a> 
 <b>by </b><i><a class="txt" href="scmfsa_4.html#E2:30_1_1_1"><i><font color="Green">E26</font></i></a>, <a class="ref" href="nat_1.html#T18">NAT_1:18</a></i>;<br/>


</div><b>end;</b></div>

<b>thus </b><a NAME="E4:30_1_1"/>
 <a href="relat_1.html#K1">dom</a> <a href="scmfsa_4.html#K5" target="_self">SCM+FSA-Stop</a>  <a href="tarski.html#R1">c=</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 <b>by </b><i><a class="txt" href="scmfsa_4.html#E2:30_1_1"><i><font color="Green">E24</font></i></a>, <a class="ref" href="zfmisc_1.html#T37">ZFMISC_1:37</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_3.html#D13">AMI_3:def 13</a><br/>


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