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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">l</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">N</font></span>)</span>;<br/><b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M2">Element</a> of the <a href="ami_1.html#U4">Instructions</a> of <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">N</font></span>)</span>;<br/>





<b>assume </b><a NAME="E1:64"/><i><font color="Green">E36</font></i>: 
 <a href="ami_5.html#K1">InsCode</a> <font color="Maroon">i</font> <a href="hidden.html#R1">=</a> 1
 ;<br/>

<b>set </b><font color="Maroon">M</font> =  <a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">N</font>;<br/>
<b>consider </b><font color="Maroon">k</font> being  <a href="ordinal1.html#V7">natural</a>  <a href="ordinal1.html#NM1" target="_self">number</a> <b> such that </b><br/><a NAME="E3:64"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">l</font> <a href="hidden.html#R1">=</a>  <a href="amistd_1.html#K5" target="_self">il.</a> <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">N</font></span>)</span>,<font color="Maroon">k</font>
 <b>by </b><i/>;<br/>
<a NAME="E4:64"/><i><font color="Green">E39</font></i>: 
 <a href="amistd_1.html#K5" target="_self">il.</a> <span class="p1">(<span class="default"><a href="amistd_1.html#K4" target="_self">STC</a> <font color="Maroon">N</font></span>)</span>,<font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">k</font>
 
<b>by </b><i><a class="ref" href="amistd_1.html#T1" target="_self">Th1</a></i>;<br/>
<a NAME="E5:64"/>
<font color="Maroon">k</font> <a href="hidden.html#R1">=</a>  <a href="amistd_1.html#K7" target="_self">locnum</a> <font color="Maroon">l</font>
 
<b>by </b><i><a class="ref" href="amistd_1.html#T3" target="_self">Th3</a>, </i>;<br/>
<a NAME="E6:64"/><b>then </b>
 <a href="amistd_1.html#K9" target="_self">NextLoc</a> <font color="Maroon">l</font> <a href="hidden.html#R1">=</a> <font color="Maroon">k</font> <a href="xcmplx_0.html#K2">+</a> 1
 
<b>by </b><i><a class="ref" href="amistd_1.html#T1" target="_self">Th1</a></i>;<br/>
<b>hence </b><a NAME="E7:64"/>
 <a href="amistd_1.html#K1" target="_self">NIC</a> <font color="Maroon">i</font>,<font color="Maroon">l</font> <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#K9" target="_self">NextLoc</a> <font color="Maroon">l</font></span>)</span></span><a href="domain_1.html#K6">}</a></span>
 <b>by </b><i>, <a class="ref" href="amistd_1.html#T3" target="_self">Th3</a>, , </i>;<br/>


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