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<b>let </b><font color="Maroon" title="c2">N</font> be  <a href="setfam_1.html#V1" title="SETFAM_1:attr.1">with_non-empty_elements</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c3">l</font> be    <a href="ami_1.html#M1" title="AMI_1:mode.1">Instruction-Location</a> of  <a href="amistd_1.html#K4" title="AMISTD_1:func.4">STC</a> <font color="Maroon" title="c2">N</font>;<br/>



<b>set </b><font color="Maroon" title="c4">M</font> =  <a href="amistd_1.html#K4" title="AMISTD_1:func.4">STC</a> <font color="Maroon" title="c2">N</font>;<br/>
<b>consider </b><font color="Maroon" title="c5">k</font> being  <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> <b> such that </b><br/><a NAME="E2:60"/><i><font color="Green" title="E30">A1</font></i>: 
<font color="Maroon" title="c3">l</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="amistd_1.html#K5" title="AMISTD_1:func.5">il.</a> <span class="p1">(<span class="default"><a href="amistd_1.html#K4" title="AMISTD_1:func.4">STC</a> <font color="Maroon" title="c2">N</font></span>)</span>,<font color="Maroon" title="c5">k</font>
 <b>by </b><i><a class="ref" href="amistd_1.html#T26" target="_self" title="AMISTD_1:th.26">Th26</a></i>;<br/>
<a NAME="E3:60"/><i><font color="Green" title="E31">A2</font></i>: 
<font color="Maroon" title="c3">l</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">k</font>
 
<b>by </b><i><a class="txt" href="amistd_1.html#E2:60"><i><font color="Green" title="E30">A1</font></i></a>, <a class="ref" href="amistd_1.html#T37" target="_self" title="AMISTD_1:th.37">Th37</a></i>;<br/>
<a NAME="E4:60"/><i><font color="Green" title="E32">A3</font></i>: 
<font color="Maroon" title="c5">k</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="amistd_1.html#K7" title="AMISTD_1:func.7">locnum</a> <font color="Maroon" title="c3">l</font>
 
<b>by </b><i><a class="txt" href="amistd_1.html#E2:60"><i><font color="Green" title="E30">A1</font></i></a>, <a class="ref" href="amistd_1.html#D13" target="_self" title="AMISTD_1:def.13">Def13</a></i>;<br/>
<b>thus </b> <a href="amistd_1.html#K3" title="AMISTD_1:func.3">SUCC</a> <font color="Maroon" title="c3">l</font> = 
<span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c5">k</font>,<span class="p2">(<span class="default"><font color="Maroon" title="c5">k</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span>
<b>by </b><i><a class="txt" href="amistd_1.html#E3:60"><i><font color="Green" title="E31">A2</font></i></a>, <a class="ref" href="amistd_1.html#T24" target="_self" title="AMISTD_1:th.24">Th24</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c5">k</font>,<span class="p2">(<span class="default"><a href="amistd_1.html#K5" title="AMISTD_1:func.5">il.</a> <span class="p3">(<span class="default"><a href="amistd_1.html#K4" title="AMISTD_1:func.4">STC</a> <font color="Maroon" title="c2">N</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon" title="c5">k</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span></span>)</span></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span>
<b>by </b><i><a class="ref" href="amistd_1.html#T37" target="_self" title="AMISTD_1:th.37">Th37</a></i>
<br/>.= 
<span class="p1"><a href="domain_1.html#K7" title="DOMAIN_1:func.7">{</a><span class="default"><font color="Maroon" title="c3">l</font>,<span class="p2">(<span class="default"><a href="amistd_1.html#K9" title="AMISTD_1:func.9">NextLoc</a> <font color="Maroon" title="c3">l</font></span>)</span></span><a href="domain_1.html#K7" title="DOMAIN_1:func.7">}</a></span>
<b>by </b><i><a class="ref" href="amistd_1.html#T37" target="_self" title="AMISTD_1:th.37">Th37</a>, <a class="txt" href="amistd_1.html#E2:60"><i><font color="Green" title="E30">A1</font></i></a>, <a class="txt" href="amistd_1.html#E4:60"><i><font color="Green" title="E32">A3</font></i></a></i>
;<br/>


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