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<b>let </b><font color="Maroon" title="c1">R</font> be  <a href="scmring1.html#V1" title="SCMRING1:attr.1">good</a> <a href="funcsdom.html#NM1" title="FUNCSDOM:NM.1">Ring</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">dl</font> being   <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c1">R</font>  ex <font color="Olive" title="b2">i</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a>  st <font color="Olive" title="b1">dl</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">R</font>,<font color="Olive" title="b2">i</font></span><br/><b>let </b><font color="Maroon" title="c2">dl</font> be    <a href="scmring2.html#M1" title="SCMRING2:mode.1">Data-Location</a> of <font color="Maroon" title="c1">R</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  ex <font color="Olive" title="b1">i</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a>  st <font color="Maroon" title="c2">dl</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">R</font>,<font color="Olive" title="b1">i</font></span><br/>



<a NAME="E1:6"/>
<font color="Maroon" title="c2">dl</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> 
 
<b>by </b><i><a class="ref" href="scmring2.html#T1" title="SCMRING2:th.1">SCMRING2:1</a></i>;<br/>
<b>then consider </b><font color="Maroon" title="c3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">NAT</a> <b> such that </b><br/><a NAME="E3:6"/><i><font color="Green" title="E4">A1</font></i>: 
<font color="Maroon" title="c2">dl</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K1" title="DOMAIN_1:func.1">[</a><span class="default">1,<font color="Maroon" title="c3">i</font></span><a href="domain_1.html#K1" title="DOMAIN_1:func.1">]</a></span>
 <b>by </b><i><a class="ref" href="ami_2.html#T32" title="AMI_2:th.32">AMI_2:32</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c3">i</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">dl</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c3">i</font></span><br/>

<b>thus </b><a NAME="E4:6"/>
<font color="Maroon" title="c2">dl</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">R</font>,<font color="Maroon" title="c3">i</font>
 <b>by </b><i><a class="txt" href="#E3:6"><i><font color="Green" title="E4">A1</font></i></a>, <a class="ref" href="scmring4.html#T3" target="_self" title="SCMRING4:th.3">Th16</a></i>; <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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