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<b>let </b><font color="Maroon" title="c3">S</font> be  <a href="ami_1.html#V14" title="AMI_1:attr.14">standard-ins</a>  <a href="ami_1.html#L1" title="AMI_1:struct.1">AMI-Struct</a> of <font color="Maroon" title="c1">IL</font>,<font color="Maroon" title="c2">N</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c3">S</font> is <a href="amistd_2.html#V6" title="AMISTD_2:attr.6">regular</a> implies <font color="Maroon" title="c3">S</font> is <a href="amistd_2.html#V1" title="AMISTD_2:attr.1">homogeneous</a> )</span><br/>

<b>assume </b><a NAME="E1:26_1_1"/><i><font color="Green" title="E16">A1</font></i>: 
for <font color="Olive" title="b1">T</font> being  <a href="ami_1.html#NM11" title="AMI_1:NM.11">InsType</a> of <font color="Maroon" title="c3">S</font> holds   <a href="amistd_2.html#K4" title="AMISTD_2:func.4">AddressParts</a> <font color="Olive" title="b1">T</font> is <a href="card_3.html#V3" title="CARD_3:attr.3">product-like</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D11" target="_self" title="AMISTD_2:def.11">AMISTD_2:def 11</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c3">S</font> is <a href="amistd_2.html#V1" title="AMISTD_2:attr.1">homogeneous</a></span><br/>

<b>let </b><font color="Maroon" title="c4">I</font>, <font color="Maroon" title="c5">J</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">Instruction</a> of <font color="Maroon" title="c3">S</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="amistd_2.html#D4" target="_self" title="AMISTD_2:def.4">AMISTD_2:def 4</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c5">J</font> implies  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K3" title="AMISTD_2:func.3">AddressPart</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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#K3" title="AMISTD_2:func.3">AddressPart</a> <font color="Maroon" title="c5">J</font></span>)</span> )</span><br/>

<b>assume </b><a NAME="E2:26_1_1"/><i><font color="Green" title="E17">A2</font></i>: 
 <a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c5">J</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K3" title="AMISTD_2:func.3">AddressPart</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</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#K3" title="AMISTD_2:func.3">AddressPart</a> <font color="Maroon" title="c5">J</font></span>)</span></span><br/>

<a NAME="E3:26_1_1"/>
 <a href="amistd_2.html#K4" title="AMISTD_2:func.4">AddressParts</a> <span class="p1">(<span class="default"><a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c4">I</font></span>)</span> is <a href="card_3.html#V3" title="CARD_3:attr.3">product-like</a>
 
<b>by </b><i><a class="txt" href="amistd_2.html#E1:26_1_1"><i><font color="Green" title="E16">A1</font></i></a></i>;<br/>
<b>then consider </b><font color="Maroon" title="c6">f</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><b> such that </b><br/><a NAME="E5:26_1_1"/><i><font color="Green" title="E18">A3</font></i>: 
 <a href="amistd_2.html#K4" title="AMISTD_2:func.4">AddressParts</a> <span class="p1">(<span class="default"><a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c4">I</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_3.html#K4" title="CARD_3:func.4">product</a> <font color="Maroon" title="c6">f</font>
 <b>by </b><i><a class="ref" href="card_3.html#D14" title="CARD_3:def.14">CARD_3:def 14</a></i>;<br/>
<a NAME="E6:26_1_1"/><i><font color="Green" title="E19">A4</font></i>: 
(  <a href="amistd_2.html#K3" title="AMISTD_2:func.3">AddressPart</a> <font color="Maroon" title="c4">I</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="amistd_2.html#K4" title="AMISTD_2:func.4">AddressParts</a> <span class="p1">(<span class="default"><a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c4">I</font></span>)</span> &amp;  <a href="amistd_2.html#K3" title="AMISTD_2:func.3">AddressPart</a> <font color="Maroon" title="c5">J</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="amistd_2.html#K4" title="AMISTD_2:func.4">AddressParts</a> <span class="p1">(<span class="default"><a href="ami_1.html#K21" title="AMI_1:func.21">InsCode</a> <font color="Maroon" title="c4">I</font></span>)</span> )
 
<b>by </b><i><a class="txt" href="amistd_2.html#E2:26_1_1"><i><font color="Green" title="E17">A2</font></i></a></i>;<br/>
<b>hence </b> <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="amistd_2.html#K3" title="AMISTD_2:func.3">AddressPart</a> <font color="Maroon" title="c4">I</font></span>)</span> = 
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c6">f</font>
<b>by </b><i><a class="txt" href="amistd_2.html#E5:26_1_1"><i><font color="Green" title="E18">A3</font></i></a>, <a class="ref" href="card_3.html#T18" title="CARD_3:th.18">CARD_3:18</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#K3" title="AMISTD_2:func.3">AddressPart</a> <font color="Maroon" title="c5">J</font></span>)</span>
<b>by </b><i><a class="txt" href="amistd_2.html#E5:26_1_1"><i><font color="Green" title="E18">A3</font></i></a>, <a class="txt" href="amistd_2.html#E6:26_1_1"><i><font color="Green" title="E19">A4</font></i></a>, <a class="ref" href="card_3.html#T18" title="CARD_3:th.18">CARD_3:18</a></i>
;<br/> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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