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<b>let </b><font color="Maroon">N</font> be  <a href="setfam_1.html#V1">with_non-empty_elements</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">S</font> be  non <a href="struct_0.html#V3">empty</a> non <a href="ami_1.html#V2">void</a> <a href="ami_1.html#V4">halting</a> <a href="ami_1.html#V5">IC-Ins-separated</a> <a href="ami_1.html#V8">definite</a> <a href="ami_1.html#V10">realistic</a> <a href="amistd_1.html#V4" target="_self">standard</a>  <a href="ami_1.html#L1">AMI-Struct</a> of <font color="Maroon">N</font>;<br/>



<b>set </b><font color="Maroon">F</font> = <span class="p1">(<span class="default"><a href="amistd_1.html#K5" target="_self">il.</a> <font color="Maroon">S</font>,0</span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p1">(<span class="default"><a href="ami_1.html#K5">halt</a> <font color="Maroon">S</font></span>)</span>;<br/>
<a NAME="E1:76"/><i><font color="Green">E36</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K5" target="_self">il.</a> <font color="Maroon">S</font>,0</span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p2">(<span class="default"><a href="ami_1.html#K5">halt</a> <font color="Maroon">S</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K5" target="_self">il.</a> <font color="Maroon">S</font>,0</span>)</span></span><a href="domain_1.html#K6">}</a></span>
 
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/>
<b>let </b><font color="Maroon">l</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <font color="Maroon">S</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_1.html#D17" target="_self">AMISTD_1:def 17</a><br/>

<b>assume </b><a NAME="E2:76"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">l</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K5" target="_self">il.</a> <font color="Maroon">S</font>,0</span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p2">(<span class="default"><a href="ami_1.html#K5">halt</a> <font color="Maroon">S</font></span>)</span></span>)</span>
 ;<br/>

<a NAME="E3:76"/><b>then </b><i><font color="Green">E39</font></i>: 
<font color="Maroon">l</font> <a href="hidden.html#R1">=</a>  <a href="amistd_1.html#K5" target="_self">il.</a> <font color="Maroon">S</font>,0
 
<b>by </b><i><a class="txt" href="amistd_1.html#E3:76"><i><font color="Green">E39</font></i></a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
 <a href="ami_5.html#K5">pi</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K5" target="_self">il.</a> <font color="Maroon">S</font>,0</span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p2">(<span class="default"><a href="ami_1.html#K5">halt</a> <font color="Maroon">S</font></span>)</span></span>)</span>,<font color="Maroon">l</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K5" target="_self">il.</a> <font color="Maroon">S</font>,0</span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p2">(<span class="default"><a href="ami_1.html#K5">halt</a> <font color="Maroon">S</font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">l</font>
<b>by </b><i>, <a class="ref" href="ami_5.html#D5">AMI_5:def 5</a></i>
<br/>.= 
 <a href="ami_1.html#K5">halt</a> <font color="Maroon">S</font>
<b>by </b><i>, <a class="ref" href="cqc_lang.html#T6">CQC_LANG:6</a></i>
;<br/>
<b>hence </b><a NAME="E5:76"/>
 <a href="amistd_1.html#K1" target="_self">NIC</a> <span class="p1">(<span class="default"><a href="ami_5.html#K5">pi</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="amistd_1.html#K5" target="_self">il.</a> <font color="Maroon">S</font>,0</span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p3">(<span class="default"><a href="ami_1.html#K5">halt</a> <font color="Maroon">S</font></span>)</span></span>)</span>,<font color="Maroon">l</font></span>)</span>,<font color="Maroon">l</font> <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="amistd_1.html#K5" target="_self">il.</a> <font color="Maroon">S</font>,0</span>)</span> <a href="ami_3.html#K14">.--&gt;</a> <span class="p2">(<span class="default"><a href="ami_1.html#K5">halt</a> <font color="Maroon">S</font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="amistd_1.html#E3:76"><i><font color="Green">E39</font></i></a>, , </i>;<br/>


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