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<span class="kw">set </span><font color="Maroon" title="c2">T</font> =  <a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c1">N</font>;<br/>
<span class="kw">set </span><font color="Maroon" title="c3">f</font> = <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <a href="funcop_1.html#K16" title="FUNCOP_1:func.16">.--&gt;</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>;<br/>
<a NAME="E1:8_1_1"/><span class="lab"><font color="Green" title="E4">A1</font></span>: 
 <a href="card_3.html#K4" title="CARD_3:func.4">product</a>  the <a href="memstr_0.html#U1" title="MEMSTR_0:sel.1">Object-Kind</a> of <span class="p1">(<span class="default"><a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c1">N</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_3.html#K4" title="CARD_3:func.4">product</a> <span class="p1">(<span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <a href="funcop_1.html#K16" title="FUNCOP_1:func.16">.--&gt;</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="extpro_1.html#D1" target="_self" title="EXTPRO_1:def.1">Def1</a></span>;<br/>
<span class="kw">set </span><font color="Maroon" title="c4">I</font> =  the <a href="compos_1.html#U2" title="COMPOS_1:sel.2">haltF</a> of <span class="p1">(<span class="default"><a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c1">N</font></span>)</span>;<br/>
<a NAME="E2:8_1_1"/><span class="lab"><font color="Green" title="E5">A2</font></span>: 
 the <a href="compos_1.html#U2" title="COMPOS_1:sel.2">haltF</a> of <span class="p1">(<span class="default"><a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c1">N</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_1.html#K3" title="MCART_1:func.3">[</a><span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="mcart_1.html#K3" title="MCART_1:func.3">]</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="extpro_1.html#D1" target="_self" title="EXTPRO_1:def.1">Def1</a></span>;<br/>
<span class="kw">let </span><font color="Maroon" title="c5">s</font> be   <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <span class="p1">(<span class="default"><a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c1">N</font></span>)</span>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="extpro_1.html#D3" target="_self" title="EXTPRO_1:def.3">EXTPRO_1:def 3</a>,<a class="ref" href="extpro_1.html#D4" target="_self" title="EXTPRO_1:def.4">EXTPRO_1:def 4</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> ( the <a href="compos_1.html#U2" title="COMPOS_1:sel.2">haltF</a> of <span class="p1">(<span class="default"><a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c1">N</font></span>)</span>,<font color="Maroon" title="c5">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">s</font></span><br/>

<span class="kw">reconsider </span><font color="Maroon" title="c6">ss</font> = <font color="Maroon" title="c5">s</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="card_3.html#K4" title="CARD_3:func.4">product</a>  the <a href="memstr_0.html#U1" title="MEMSTR_0:sel.1">Object-Kind</a> of <span class="p1">(<span class="default"><a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c1">N</font></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="card_3.html#T107" title="CARD_3:th.107">CARD_3:107</a></span>;<br/>
<a NAME="E4:8_1_1"/>
<span class="p1">(<span class="default"> the <a href="compos_1.html#U2" title="COMPOS_1:sel.2">haltF</a> of <span class="p2">(<span class="default"><a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c1">N</font></span>)</span> <a href="funcop_1.html#K16" title="FUNCOP_1:func.16">.--&gt;</a> <span class="p2">(<span class="default"><a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p3">(<span class="default"><a href="card_3.html#K4" title="CARD_3:func.4">product</a> <span class="p4">(<span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <a href="funcop_1.html#K16" title="FUNCOP_1:func.16">.--&gt;</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a>  the <a href="compos_1.html#U2" title="COMPOS_1:sel.2">haltF</a> of <span class="p1">(<span class="default"><a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c1">N</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p1">(<span class="default"><a href="card_3.html#K4" title="CARD_3:func.4">product</a> <span class="p2">(<span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <a href="funcop_1.html#K16" title="FUNCOP_1:func.16">.--&gt;</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a></span>)</span></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funcop_1.html#T72" title="FUNCOP_1:th.72">FUNCOP_1:72</a></span>;<br/>
<span class="kw">hence </span> <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> ( the <a href="compos_1.html#U2" title="COMPOS_1:sel.2">haltF</a> of <span class="p1">(<span class="default"><a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c1">N</font></span>)</span>,<font color="Maroon" title="c5">s</font>) = 
<span class="p1">(<span class="default"><a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p2">(<span class="default"><a href="card_3.html#K4" title="CARD_3:func.4">product</a> <span class="p3">(<span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <a href="funcop_1.html#K16" title="FUNCOP_1:func.16">.--&gt;</a> <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">ss</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:8_1_1"><span class="lab"><font color="Green" title="E5">A2</font></span></a>, <a class="ref" href="extpro_1.html#D1" target="_self" title="EXTPRO_1:def.1">Def1</a></span>
<br/>.= 
<font color="Maroon" title="c5">s</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:8_1_1"><span class="lab"><font color="Green" title="E4">A1</font></span></a>, <a class="ref" href="funct_1.html#T18" title="FUNCT_1:th.18">FUNCT_1:18</a></span>
;<br/> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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