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<b>thus </b><a NAME="E1:19"/>
 <a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="numbers.html#K4">INT</a> 
 <b>by </b><i><a class="ref" href="ami_2.html#T6">AMI_2:6</a></i>;<br/>

<a NAME="E2:19"/><i><font color="Green">E12</font></i>: 
not 2 <a href="hidden.html#R2">in</a>  <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> 
 
<b>by </b><i><a class="ref" href="ami_1.html#T3">AMI_1:3</a>, <a class="ref" href="zfmisc_1.html#T102">ZFMISC_1:102</a></i>;<br/>
<a NAME="E3:19"/>
2 <a href="hidden.html#R2">in</a>  <a href="numbers.html#K5">NAT</a> 
 
;<br/>
<b>hence </b><a NAME="E4:19"/>
 <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="numbers.html#K4">INT</a> 
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E2:19"><i><font color="Green">E12</font></i></a>, <a class="ref" href="numbers.html#T17">NUMBERS:17</a></i>;<br/>

<a NAME="E5:19"/><i><font color="Green">E13</font></i>: 
2 <a href="nat_1.html#K2">*</a> 1 <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2">(<span class="default">2 <a href="nat_1.html#K2">*</a> <font color="Olive">b<sub>1</sub></font></span>)</span> where B is   <a href="nat_1.html#NM1">Nat</a> : <font color="Olive">b<sub>1</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 </span>}</span> 
 
;<br/>
<b>hence </b><a NAME="E6:19"/>
 <a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> 
 <b>by </b><i><a class="ref" href="ami_1.html#T3">AMI_1:3</a>, <a class="ref" href="ami_2.html#D3">AMI_2:def 3</a>, <a class="ref" href="zfmisc_1.html#T102">ZFMISC_1:102</a></i>;<br/>

<a NAME="E7:19"/>
 <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R2">in</a> <a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> 
 
<b>by </b><i><a class="ref" href="finseq_1.html#T66">FINSEQ_1:66</a></i>;<br/>
<b>hence </b><a NAME="E8:19"/>
 <a href="scmfsa_1.html#K3" target="_self">SCM+FSA-Instr-Loc</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> 
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E2:19"><i><font color="Green">E12</font></i></a>, <a class="txt" href="scmfsa_1.html#E5:19"><i><font color="Green">E13</font></i></a>, <a class="ref" href="scmfsa_1.html#T9" target="_self">Th9</a>, <a class="ref" href="scmfsa_1.html#T11" target="_self">Th11</a>, <a class="ref" href="ami_2.html#D3">AMI_2:def 3</a></i>;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="19_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:19_1"/>
 <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R2">in</a>  <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> 
 ;<br/><b>then consider </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> being    <a href="hidden.html#M1">set</a> <b> such that </b><br/><a NAME="E3:19_1"/><i><font color="Green">E14</font></i>: 
 <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="tarski.html#K4">]</a></span>
 <b>by </b><i><a class="ref" href="zfmisc_1.html#T102">ZFMISC_1:102</a></i>;<br/><b>thus </b><a NAME="E4:19_1"/>
contradiction
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E3:19_1"><i><font color="Green">E14</font></i></a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E10:19"/>
 <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> 
 <b>by </b><i><a class="ref" href="finseq_1.html#T66">FINSEQ_1:66</a></i>;<br/>


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