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<b>thus </b><a NAME="E1:22"/>
 <a href="scmfsa_1.html#K3" title="SCMFSA_1:func.3">SCM+FSA-Instr-Loc</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 <b>by </b><i><a class="ref" href="ami_2.html#T6" title="AMI_2:th.6">AMI_2:6</a></i>;<br/>

<a NAME="E2:22"/><i><font color="Green" title="E12">A1</font></i>: 
not 2 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="scmfsa_1.html#K4" title="SCMFSA_1:func.4">SCM+FSA-Instr</a> 
 
<b>by </b><i><a class="ref" href="ami_1.html#T3" title="AMI_1:th.3">AMI_1:3</a>, <a class="ref" href="zfmisc_1.html#T102" title="ZFMISC_1:th.102">ZFMISC_1:102</a></i>;<br/>
<a NAME="E3:22"/>
2 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> 
 
;<br/>
<b>hence </b><a NAME="E4:22"/>
 <a href="scmfsa_1.html#K4" title="SCMFSA_1:func.4">SCM+FSA-Instr</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E2:22"><i><font color="Green" title="E12">A1</font></i></a>, <a class="ref" href="numbers.html#T17" title="NUMBERS:th.17">NUMBERS:17</a></i>;<br/>

<a NAME="E5:22"/><i><font color="Green" title="E13">A2</font></i>: 
2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> 1 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default">2 <a href="nat_1.html#K2" title="NAT_1:func.2">*</a> <font color="Olive" title="b1">k</font></span>)</span> where <font color="Olive" title="b1">k</font> is    <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>  : <font color="Olive" title="b1">k</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 0 </span>}</span> 
 
;<br/>
<b>hence </b><a NAME="E6:22"/>
 <a href="scmfsa_1.html#K3" title="SCMFSA_1:func.3">SCM+FSA-Instr-Loc</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="scmfsa_1.html#K4" title="SCMFSA_1:func.4">SCM+FSA-Instr</a> 
 <b>by </b><i><a class="ref" href="ami_1.html#T3" title="AMI_1:th.3">AMI_1:3</a>, <a class="ref" href="ami_2.html#D3" title="AMI_2:def.3">AMI_2:def 3</a>, <a class="ref" href="zfmisc_1.html#T102" title="ZFMISC_1:th.102">ZFMISC_1:102</a></i>;<br/>

<a NAME="E7:22"/>
 <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>  <a href="finseq_1.html#K13" title="FINSEQ_1:func.13">*</a> 
 
<b>by </b><i><a class="ref" href="finseq_1.html#T66" title="FINSEQ_1:th.66">FINSEQ_1:66</a></i>;<br/>
<b>hence </b><a NAME="E8:22"/>
 <a href="scmfsa_1.html#K3" title="SCMFSA_1:func.3">SCM+FSA-Instr-Loc</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>  <a href="finseq_1.html#K13" title="FINSEQ_1:func.13">*</a> 
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E2:22"><i><font color="Green" title="E12">A1</font></i></a>, <a class="txt" href="scmfsa_1.html#E5:22"><i><font color="Green" title="E13">A2</font></i></a>, <a class="ref" href="scmfsa_1.html#T9" target="_self" title="SCMFSA_1:th.9">Th9</a>, <a class="ref" href="scmfsa_1.html#T11" target="_self" title="SCMFSA_1:th.11">Th11</a>, <a class="ref" href="ami_2.html#D3" title="AMI_2:def.3">AMI_2:def 3</a></i>;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="22_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:22_1"/>
 <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="scmfsa_1.html#K4" title="SCMFSA_1:func.4">SCM+FSA-Instr</a> 
 ;<br/><b>then consider </b><font color="Maroon" title="c1">x</font>, <font color="Maroon" title="c2">y</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <b> such that </b><br/><a NAME="E3:22_1"/><i><font color="Green" title="E14">A3</font></i>: 
 <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  <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"><font color="Maroon" title="c1">x</font>,<font color="Maroon" title="c2">y</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
 <b>by </b><i><a class="ref" href="zfmisc_1.html#T102" title="ZFMISC_1:th.102">ZFMISC_1:102</a></i>;<br/><b>thus </b><a NAME="E4:22_1"/>
contradiction
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E3:22_1"><i><font color="Green" title="E14">A3</font></i></a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E10:22"/>
 <a href="scmfsa_1.html#K4" title="SCMFSA_1:func.4">SCM+FSA-Instr</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>  <a href="finseq_1.html#K13" title="FINSEQ_1:func.13">*</a> 
 <b>by </b><i><a class="ref" href="finseq_1.html#T66" title="FINSEQ_1:th.66">FINSEQ_1:66</a></i>;<br/>


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