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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="setfam_1.html#V1">with_non-empty_elements</a>  <a href="hidden.html#M1">set</a> ;<br/>

<b>reconsider </b><font color="Maroon">c<sub>2</sub></font> = 0 as   <a href="ami_1.html#NM1">Object</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> <b>by </b><i><a class="ref" href="ami_1.html#D2" target="_self">Def2</a></i>;<br/>
 <a href="ami_1.html#K3" target="_self">ObjectKind</a> <font color="Maroon">c<sub>2</sub></font> = 
the <a href="ami_1.html#U5" target="_self">Object-Kind</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="funct_2.html#K3">.</a> <font color="Maroon">c<sub>2</sub></font>

<br/>.= 
<span class="p1">(<span class="default">0,1 <a href="funct_4.html#K4">--&gt;</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3"><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></span>)</span> <a href="funct_1.html#K1">.</a> 0
<b>by </b><i><a class="ref" href="ami_1.html#D2" target="_self">Def2</a></i>
<br/>.= 
<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="funct_4.html#T66">FUNCT_4:66</a></i>
;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>3</sub></font> = 1 as    <a href="subset_1.html#M1">Element</a> of  <a href="ami_1.html#K3" target="_self">ObjectKind</a> <font color="Maroon">c<sub>2</sub></font> <b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<b>take </b>
<font color="Maroon">c<sub>2</sub></font> <a href="ami_1.html#K15" target="_self">.--&gt;</a> <font color="Maroon">c<sub>3</sub></font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_1.html#D27" target="_self">AMI_1:def 27</a><br/>

<a NAME="E4:91"/>
0 <a href="cqc_lang.html#K3">.--&gt;</a> 1 <a href="hidden.html#R1">=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2"><a href="domain_1.html#K6">{</a><span class="default">0</span><a href="domain_1.html#K6">}</a></span>,<span class="p2"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="funcop_1.html#D2">FUNCOP_1:def 2</a></i>;<br/>
<b>hence </b><a NAME="E5:91"/>
not <font color="Maroon">c<sub>2</sub></font> <a href="ami_1.html#K15" target="_self">.--&gt;</a> <font color="Maroon">c<sub>3</sub></font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/>

<b>let </b><font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> be   <a href="ami_1.html#NM4">State</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#D25" target="_self">AMI_1:def 25</a><br/>

<b>assume </b><a NAME="E6:91"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="ami_1.html#K15" target="_self">.--&gt;</a> <font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="ami_1.html#K15" target="_self">.--&gt;</a> <font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>5</sub></font> )
 ;<br/>

<b>let </b><font color="Maroon">c<sub>6</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>thus </b><a NAME="E7:91"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" target="_self">Computation</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="ami_1.html#K11" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_1.html#K15" target="_self">.--&gt;</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" target="_self">Computation</a> <font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="ami_1.html#K11" target="_self">.</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="ami_1.html#K15" target="_self">.--&gt;</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="ami_1.html#T9" target="_self">Th9</a></i>;<br/>


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