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<b>let </b><font color="Maroon">R</font> be  <a href="scmring1.html#V1">good</a> <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">i1</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span>;<br/><b>let </b><font color="Maroon">i2</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">R</font></span>)</span>;<br/>





<b>assume </b><a NAME="E1:9"/><i><font color="Green">E50</font></i>: 
( <font color="Maroon">i1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">i2</font> &amp;  <a href="scmring2.html#K11">Next</a> <font color="Maroon">i1</font> <a href="hidden.html#R1">=</a>  <a href="scmring2.html#K11">Next</a> <font color="Maroon">i2</font> )
 ;<br/>

<b>consider </b><font color="Maroon">m1</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> <b> such that </b><br/><a NAME="E3:9"/><i><font color="Green">E51</font></i>: 
( <font color="Maroon">m1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i1</font> &amp;  <a href="scmring2.html#K11">Next</a> <font color="Maroon">i1</font> <a href="hidden.html#R1">=</a>  <a href="ami_2.html#K15">Next</a> <font color="Maroon">m1</font> )
 <b>by </b><i><a class="ref" href="scmring2.html#D10">SCMRING2:def 10</a></i>;<br/>
<b>consider </b><font color="Maroon">m2</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> <b> such that </b><br/><a NAME="E5:9"/><i><font color="Green">E64</font></i>: 
( <font color="Maroon">m2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i2</font> &amp;  <a href="scmring2.html#K11">Next</a> <font color="Maroon">i2</font> <a href="hidden.html#R1">=</a>  <a href="ami_2.html#K15">Next</a> <font color="Maroon">m2</font> )
 <b>by </b><i><a class="ref" href="scmring2.html#D10">SCMRING2:def 10</a></i>;<br/>
<a NAME="E6:9"/>
(  <a href="ami_2.html#K15">Next</a> <font color="Maroon">m1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m1</font> <a href="nat_1.html#K1">+</a> 2 &amp;  <a href="ami_2.html#K15">Next</a> <font color="Maroon">m2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">m2</font> <a href="nat_1.html#K1">+</a> 2 )
 
<b>by </b><i><a class="ref" href="ami_2.html#D15">AMI_2:def 15</a></i>;<br/>
<b>hence </b><a NAME="E7:9"/>
contradiction
 <b>by </b><i>, , </i>;<br/>


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