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<span class="kw">let </span><font color="Maroon" title="c1">R</font> be   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>  <a href="vectsp_1.html#NM3" title="VECTSP_1:NM.3">Ring</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">dl</font> being   <a href="scmring2.html#NM1" title="SCMRING2:NM.1">Data-Location</a> of <font color="Maroon" title="c1">R</font>  ex <font color="Olive" title="b2">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">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/><span class="kw">let </span><font color="Maroon" title="c2">dl</font> be   <a href="scmring2.html#NM1" title="SCMRING2:NM.1">Data-Location</a> of <font color="Maroon" title="c1">R</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">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="E1:2"/>
<font color="Maroon" title="c2">dl</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="memstr_0.html#NK3" title="MEMSTR_0:NK.3">Data-Locations</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmring2.html#T1" onmouseover="rs('scmring2/T1')" onmouseout="rh()">SCMRING2:1</a></span>;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c3">i</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><span class="kw"> such that </span><br/><a NAME="E3:2"/><span class="lab"><font color="Green" title="E2">A1</font></span>: 
<font color="Maroon" title="c2">dl</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default">1,<font color="Maroon" title="c3">i</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="ami_2.html#T23" onmouseover="rs('ami_2/T23')" onmouseout="rh()">AMI_2:23</a>, <a class="ref" href="ami_3.html#T27" onmouseover="rs('ami_3/T27')" onmouseout="rh()">AMI_3:27</a></span>;<br/>
<span class="kw">take </span>
<font color="Maroon" title="c3">i</font>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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/>

<span class="kw">thus </span><a NAME="E4:2"/>
<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 class="kw">by</span> <span class="lab"><a class="txt" href="#E3:2"><span class="lab"><font color="Green" title="E2">A1</font></span></a>, <a class="ref" href="scmring4.html#T1" target="_self" onmouseover="rs('scmring4/T1')" onmouseout="rh()">Th1</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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