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<b>let </b><font color="Maroon" title="c1">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="c2">S</font> be  non <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a> non <a href="ami_1.html#V2" title="AMI_1:attr.2">void</a> <a href="ami_1.html#V14" title="AMI_1:attr.14">standard-ins</a> <a href="amistd_2.html#V8" title="AMISTD_2:attr.8">regular</a>  <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of <font color="Maroon" title="c1">N</font>;<br/><b>let </b><font color="Maroon" title="c3">I</font> be   <a href="ami_1.html#NM3" title="AMI_1:NM.3">Instruction</a> of <font color="Maroon" title="c2">S</font>;<br/><b>let </b><font color="Maroon" title="c4">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>







<b>assume </b><a NAME="E1:136"/><i><font color="Green" title="E70">A1</font></i>: 
<font color="Maroon" title="c4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K4" title="AMISTD_2:func.4">AddressPart</a> <font color="Maroon" title="c3">I</font></span>)</span>
 ;<br/>

<a NAME="E2:136"/><i><font color="Green" title="E71">A2</font></i>: 
 <a href="amistd_2.html#K4" title="AMISTD_2:func.4">AddressPart</a> <font color="Maroon" title="c3">I</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="amistd_2.html#K5" title="AMISTD_2:func.5">AddressParts</a> <span class="p1">(<span class="default"><a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">I</font></span>)</span>
 
;<br/>
<i><font color="Green" title="E72">A3</font></i>:  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K1" title="AMISTD_2:func.1">product"</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K5" title="AMISTD_2:func.5">AddressParts</a> <span class="p3">(<span class="default"><a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">I</font></span>)</span></span>)</span></span>)</span> = 
 <a href="pralg_2.html#K1" title="PRALG_2:func.1">DOM</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K5" title="AMISTD_2:func.5">AddressParts</a> <span class="p2">(<span class="default"><a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">I</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="amistd_2.html#T7" target="_self" title="AMISTD_2:th.7">Th7</a></i>
<br/>.= 
 <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K4" title="AMISTD_2:func.4">AddressPart</a> <font color="Maroon" title="c3">I</font></span>)</span>
<b>by </b><i><a class="txt" href="amistd_2.html#E2:136"><i><font color="Green" title="E71">A2</font></i></a>, <a class="ref" href="pralg_2.html#D2" title="PRALG_2:def.2">PRALG_2:def 2</a></i>
;<br/>
<a NAME="E4:136"/>
<span class="p1">(<span class="default"><a href="amistd_2.html#K4" title="AMISTD_2:func.4">AddressPart</a> <font color="Maroon" title="c3">I</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="card_3.html#K5" title="CARD_3:func.5">pi</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K5" title="AMISTD_2:func.5">AddressParts</a> <span class="p2">(<span class="default"><a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">I</font></span>)</span></span>)</span>,<font color="Maroon" title="c4">x</font>
 
<b>by </b><i><a class="txt" href="amistd_2.html#E2:136"><i><font color="Green" title="E71">A2</font></i></a>, <a class="ref" href="card_3.html#D6" title="CARD_3:def.6">CARD_3:def 6</a></i>;<br/>
<b>hence </b><a NAME="E5:136"/>
<span class="p1">(<span class="default"><a href="amistd_2.html#K4" title="AMISTD_2:func.4">AddressPart</a> <font color="Maroon" title="c3">I</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K1" title="AMISTD_2:func.1">product"</a> <span class="p2">(<span class="default"><a href="amistd_2.html#K5" title="AMISTD_2:func.5">AddressParts</a> <span class="p3">(<span class="default"><a href="ami_1.html#K19" title="AMI_1:func.19">InsCode</a> <font color="Maroon" title="c3">I</font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">x</font>
 <b>by </b><i><a class="txt" href="amistd_2.html#E1:136"><i><font color="Green" title="E70">A1</font></i></a>, <a class="txt" href="amistd_2.html#E3:136"><i><font color="Green" title="E72">A3</font></i></a>, <a class="ref" href="amistd_2.html#T8" target="_self" title="AMISTD_2:th.8">Th8</a></i>;<br/>


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