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<b>let </b><font color="Maroon" title="c1">N</font> be  <a href="setfam_1.html#V1" title="SETFAM_1:attr.1">with_non-empty_elements</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>

<b>reconsider </b><font color="Maroon" title="c2">la</font> = 0 as   <a href="ami_1.html#NM1" title="AMI_1:NM.1">Object</a> of <span class="p1">(<span class="default"><a href="ami_1.html#K1" title="AMI_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c1">N</font></span>)</span> <b>by </b><i><a class="ref" href="ami_1.html#D2" target="_self" title="AMI_1:def.2">Def2</a></i>;<br/>
 <a href="ami_1.html#K3" title="AMI_1:func.3">ObjectKind</a> <font color="Maroon" title="c2">la</font> = 
<span class="p1">(<span class="default">0,1 <a href="funct_4.html#K4" title="FUNCT_4:func.4">--&gt;</a> <span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default">1</span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>,<span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default">0,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 0
<b>by </b><i><a class="ref" href="ami_1.html#D2" target="_self" title="AMI_1:def.2">Def2</a></i>
<br/>.= 
<span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default">1</span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
<b>by </b><i><a class="ref" href="funct_4.html#T66" title="FUNCT_4:th.66">FUNCT_4:66</a></i>
;<br/>
<b>then reconsider </b><font color="Maroon" title="c3">a</font> = 1 as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="ami_1.html#K3" title="AMI_1:func.3">ObjectKind</a> <font color="Maroon" title="c2">la</font> <b>by </b><i><a class="ref" href="tarski.html#D1" title="TARSKI:def.1">TARSKI:def 1</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c2">la</font> <a href="ami_1.html#K15" title="AMI_1:func.15">.--&gt;</a> <font color="Maroon" title="c3">a</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_1.html#D27" target="_self" title="AMI_1:def.27">AMI_1:def 27</a><br/>

<a NAME="E4:92"/>
0 <a href="cqc_lang.html#K3" title="CQC_LANG:func.3">.--&gt;</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default">0</span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>,<span class="p2"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default">1</span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>
 
<b>by </b><i><a class="ref" href="funcop_1.html#D2" title="FUNCOP_1:def.2">FUNCOP_1:def 2</a></i>;<br/>
<b>hence </b><a NAME="E5:92"/>
not <font color="Maroon" title="c2">la</font> <a href="ami_1.html#K15" title="AMI_1:func.15">.--&gt;</a> <font color="Maroon" title="c3">a</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 ;<br/>

<b>let </b><font color="Maroon" title="c4">s1</font>, <font color="Maroon" title="c5">s2</font> be   <a href="ami_1.html#NM4" title="AMI_1:NM.4">State</a> of <span class="p1">(<span class="default"><a href="ami_1.html#K1" title="AMI_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c1">N</font></span>)</span>; <i><font color="Red">:: according to </font></i><a class="ref" href="ami_1.html#D25" target="_self" title="AMI_1:def.25">AMI_1:def 25</a><br/>

<b>assume </b><a NAME="E6:92"/>
( <font color="Maroon" title="c2">la</font> <a href="ami_1.html#K15" title="AMI_1:func.15">.--&gt;</a> <font color="Maroon" title="c3">a</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c4">s1</font> &amp; <font color="Maroon" title="c2">la</font> <a href="ami_1.html#K15" title="AMI_1:func.15">.--&gt;</a> <font color="Maroon" title="c3">a</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c5">s2</font> )
 ;<br/>

<b>let </b><font color="Maroon" title="c6">i</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/>

<b>thus </b><a NAME="E7:92"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c4">s1</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <font color="Maroon" title="c6">i</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">la</font> <a href="ami_1.html#K15" title="AMI_1:func.15">.--&gt;</a> <font color="Maroon" title="c3">a</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K10" title="AMI_1:func.10">Computation</a> <font color="Maroon" title="c5">s2</font></span>)</span> <a href="ami_1.html#K11" title="AMI_1:func.11">.</a> <font color="Maroon" title="c6">i</font></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p2">(<span class="default"><font color="Maroon" title="c2">la</font> <a href="ami_1.html#K15" title="AMI_1:func.15">.--&gt;</a> <font color="Maroon" title="c3">a</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="ami_1.html#T9" target="_self" title="AMI_1:th.9">Th9</a></i>;<br/>


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