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<b>let </b><font color="Maroon" title="c2">L</font> be  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="scmfsa_2.html#K2" title="SCMFSA_2:func.2">Int-Locations</a> ;<br/><b>let </b><font color="Maroon" title="c3">n</font>, <font color="Maroon" title="c4">m</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/>





<b>assume </b><a NAME="E1:45"/><i><font color="Green" title="E24">Z</font></i>: 
<font color="Maroon" title="c3">n</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">m</font>
 ;<br/>

<a NAME="E2:45"/>
( <font color="Maroon" title="c3">n</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c4">m</font> or <font color="Maroon" title="c4">m</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c3">n</font> )
 
<b>by </b><i><a class="ref" href="real_1.html#D5" title="REAL_1:def.5">REAL_1:def 5</a>, <a class="txt" href="sfmastr1.html#E1:45"><i><font color="Green" title="E24">Z</font></i></a></i>;<br/>
<a NAME="E3:45"/><b>then </b><i><font color="Green" title="E25">B</font></i>: 
 <a href="seq_4.html#K6" title="SEQ_4:func.6">min</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sfmastr1.html#K5" title="SFMASTR1:func.5">RWNotIn-seq</a> <font color="Maroon" title="c2">L</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c3">n</font></span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="seq_4.html#K6" title="SEQ_4:func.6">min</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="sfmastr1.html#K5" title="SFMASTR1:func.5">RWNotIn-seq</a> <font color="Maroon" title="c2">L</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">m</font></span>)</span>
 
<b>by </b><i><a class="ref" href="sfmastr1.html#T20" target="_self" title="SFMASTR1:th.20">Th20</a></i>;<br/>
<b>assume </b><a NAME="E4:45"/>
<font color="Maroon" title="c3">n</font> <a href="sfmastr1.html#K6" title="SFMASTR1:func.6">-thRWNotIn</a> <font color="Maroon" title="c2">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">m</font> <a href="sfmastr1.html#K6" title="SFMASTR1:func.6">-thRWNotIn</a> <font color="Maroon" title="c2">L</font>
 ;<br/>

<b>hence </b><a NAME="E5:45"/>
contradiction
 <b>by </b><i><a class="txt" href="sfmastr1.html#E3:45"><i><font color="Green" title="E25">B</font></i></a>, <a class="ref" href="ami_3.html#T52" title="AMI_3:th.52">AMI_3:52</a></i>;<br/>


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