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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<a NAME="E1:90"/><i><font color="Green">E52</font></i>: 
( the <a href="ami_1.html#U4" target="_self">Instructions</a> of <span class="p1">(<span class="default"><a href="ami_1.html#K1" target="_self">Trivial-AMI</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> &amp; the <a href="ami_1.html#U2" target="_self">Instruction-Locations</a> of <span class="p1">(<span class="default"><a href="ami_1.html#K1" target="_self">Trivial-AMI</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span> )
 
<b>by </b><i><a class="ref" href="ami_1.html#D2" target="_self">Def2</a></i>;<br/>
<b>assume </b><a NAME="E2:90"/>
the <a href="ami_1.html#U4" target="_self">Instructions</a> of <span class="p1">(<span class="default"><a href="ami_1.html#K1" target="_self">Trivial-AMI</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="ami_1.html#U2" target="_self">Instruction-Locations</a> of <span class="p1">(<span class="default"><a href="ami_1.html#K1" target="_self">Trivial-AMI</a> <font color="Maroon">c<sub>1</sub></font></span>)</span>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_1.html#D21" target="_self">AMI_1:def 21</a><br/>

<a NAME="E3:90"/><b>then </b>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default">0,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i><a class="txt" href="ami_1.html#E1:90"><i><font color="Green">E52</font></i></a>, <a class="ref" href="zfmisc_1.html#T6">ZFMISC_1:6</a></i>;<br/>
<b>hence </b><a NAME="E4:90"/>
contradiction
 <b>by </b><i><a class="ref" href="zfmisc_1.html#T8">ZFMISC_1:8</a>, <a class="ref" href="card_5.html#T1">CARD_5:1</a></i>;<br/>


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