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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" target="_self">void</a> <a href="ami_1.html#V4" target="_self">halting</a> <a href="ami_1.html#V5" target="_self">IC-Ins-separated</a> <a href="ami_1.html#V7" target="_self">steady-programmed</a> <a href="ami_1.html#V8" target="_self">definite</a>  <a href="ami_1.html#L1" target="_self">AMI-Struct</a> of <font color="Maroon">N</font>;<br/><b>let </b><font color="Maroon">s</font> be   <a href="ami_1.html#NM4">State</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">k</font> be    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>







<b>assume </b><a NAME="E1:78"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">s</font> <a href="ami_1.html#K13" target="_self">.</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6" target="_self">IC</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K10" target="_self">Computation</a> <font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11" target="_self">.</a> <font color="Maroon">k</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K5" target="_self">halt</a> <font color="Maroon">S</font>
 ;<br/>

<a NAME="E2:78"/><i><font color="Green">E34</font></i>: 
 <a href="ami_1.html#K8" target="_self">CurInstr</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" target="_self">Computation</a> <font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11" target="_self">.</a> <font color="Maroon">k</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K5" target="_self">halt</a> <font color="Maroon">S</font>
 
<b>by </b><i><a class="ref" href="ami_1.html#D14" target="_self">Def14</a>, </i>;<br/>
<a NAME="E3:78"/><b>then </b>
<font color="Maroon">s</font> is <a href="ami_1.html#V9" target="_self">halting</a>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:78"/>
 <a href="ami_1.html#K12" target="_self">Result</a> <font color="Maroon">s</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K10" target="_self">Computation</a> <font color="Maroon">s</font></span>)</span> <a href="ami_1.html#K11" target="_self">.</a> <font color="Maroon">k</font>
 <b>by </b><i><a class="ref" href="ami_1.html#T7" target="_self">Th7</a>, <a class="ref" href="ami_1.html#D13" target="_self">Def13</a></i>;<br/>


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