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<b>let </b><font color="Maroon">m</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">n</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">I</font> be  <a href="ami_3.html#V1">programmed</a>  <a href="ami_1.html#M1">FinPartState</a> of  <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/>





<a NAME="E1:39"/><i><font color="Green">E27</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa_4.html#K7" target="_self">IncAddr</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K7" target="_self">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">m</font></span>)</span>,<font color="Maroon">n</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa_4.html#K7" target="_self">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">m</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmfsa_4.html#T1" target="_self">Th1</a></i>;<br/>
<a NAME="E2:39"/><i><font color="Green">E30</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="scmfsa_4.html#K7" target="_self">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">m</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">I</font>
 
<b>by </b><i><a class="ref" href="scmfsa_4.html#T1" target="_self">Th1</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="39_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">l</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>assume </b><a NAME="E1:39_1"/><i><font color="Green">E31</font></i>: 
 <a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">l</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">I</font>
 ;<br/><b>then </b> <a href="ami_5.html#K5">pi</a> <span class="p1">(<span class="default"><a href="scmfsa_4.html#K7" target="_self">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">m</font></span>)</span>,<span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">l</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="scmfsa_4.html#K7" target="_self">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">m</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">l</font></span>)</span>
<b>by </b><i>, <a class="ref" href="ami_5.html#D5">AMI_5:def 5</a></i>
<br/>.= 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <span class="p1">(<span class="default"><a href="ami_5.html#K5">pi</a> <font color="Maroon">I</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">l</font></span>)</span></span>)</span>,<font color="Maroon">m</font>
<b>by </b><i>, </i>
;<br/><b>hence </b><span class="p1">(<span class="default"><a href="scmfsa_4.html#K7" target="_self">IncAddr</a> <span class="p2">(<span class="default"><a href="scmfsa_4.html#K7" target="_self">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">m</font></span>)</span>,<font color="Maroon">n</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">l</font></span>)</span> = 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <span class="p1">(<span class="default"><a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <span class="p2">(<span class="default"><a href="ami_5.html#K5">pi</a> <font color="Maroon">I</font>,<span class="p3">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">l</font></span>)</span></span>)</span>,<font color="Maroon">m</font></span>)</span>,<font color="Maroon">n</font>
<b>by </b><i>, , </i>
<br/>.= 
 <a href="scmfsa_4.html#K4" target="_self">IncAddr</a> <span class="p1">(<span class="default"><a href="ami_5.html#K5">pi</a> <font color="Maroon">I</font>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> <font color="Maroon">l</font></span>)</span></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">m</font> <a href="nat_1.html#K1">+</a> <font color="Maroon">n</font></span>)</span>
<b>by </b><i/>
;<br/><br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:39"/>
 <a href="scmfsa_4.html#K7" target="_self">IncAddr</a> <span class="p1">(<span class="default"><a href="scmfsa_4.html#K7" target="_self">IncAddr</a> <font color="Maroon">I</font>,<font color="Maroon">m</font></span>)</span>,<font color="Maroon">n</font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_4.html#K7" target="_self">IncAddr</a> <font color="Maroon">I</font>,<span class="p1">(<span class="default"><font color="Maroon">m</font> <a href="nat_1.html#K1">+</a> <font color="Maroon">n</font></span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa_4.html#E1:39"><i><font color="Green">E27</font></i></a>, , <a class="ref" href="scmfsa_4.html#T1" target="_self">Th1</a></i>;<br/>


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