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<span class="kw">let </span><font color="Maroon" title="c2">N</font> be   <a href="measure6.html#NV2" title="MEASURE6:NV.2">with_zero</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">i</font> being   <a href="compos_1.html#NM1" title="COMPOS_1:NM.1">Instruction</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="c2">N</font></span>)</span> holds  <font color="Olive" title="b1">i</font> is  <a href="extpro_1.html#V2" title="EXTPRO_1:attr.2">halting</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c3">i</font> be   <a href="compos_1.html#NM1" title="COMPOS_1:NM.1">Instruction</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="c2">N</font></span>)</span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c3">i</font> is  <a href="extpro_1.html#V2" title="EXTPRO_1:attr.2">halting</a> </span><br/>



<span class="kw">set </span><font color="Maroon" title="c4">M</font> =  <a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c2">N</font>;<br/>
<a NAME="E1:43"/><span class="lab"><font color="Green" title="E16">A1</font></span>: 
 the <a href="compos_1.html#U1" title="COMPOS_1:sel.1">InstructionsF</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="c2">N</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2"><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">[</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">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="xtuple_0.html#K3" title="XTUPLE_0:func.3">]</a></span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="extpro_1.html#D1" onmouseover="rs('extpro_1/D1')" onmouseout="rh()">EXTPRO_1:def 1</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="c2">N</font></span>)</span>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="extpro_1.html#D3" onmouseover="rs('extpro_1/D3')" onmouseout="rh()">EXTPRO_1:def 3</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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> (<font color="Maroon" title="c3">i</font>,<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">s</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> <span class="p1">(<span class="default"><a href="memstr_0.html#K2" title="MEMSTR_0:func.2">the_Values_of</a> <span class="p2">(<span class="default"><a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c2">N</font></span>)</span></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="card_3.html#T107" onmouseover="rs('card_3/T107')" onmouseout="rh()">CARD_3:107</a></span>;<br/>
<a NAME="E3:43"/><span class="lab"><font color="Green" title="E17">A2</font></span>: 
(  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="c2">N</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> &amp;  the <a href="memstr_0.html#U2" title="MEMSTR_0:sel.2">ValuesF</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="c2">N</font></span>)</span> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a> <font color="Maroon" title="c2">N</font> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="extpro_1.html#D1" onmouseover="rs('extpro_1/D1')" onmouseout="rh()">EXTPRO_1:def 1</a></span>;<br/>
 the <a href="extpro_1.html#U1" title="EXTPRO_1:sel.1">Execution</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="c2">N</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c3">i</font> = 
<span class="p1">(<span class="default"><span class="p2"><a href="xtuple_0.html#K3" title="XTUPLE_0:func.3">[</a><span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">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="xtuple_0.html#K3" title="XTUPLE_0:func.3">]</a></span> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&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="memstr_0.html#K2" title="MEMSTR_0:func.2">the_Values_of</a> <span class="p5">(<span class="default"><a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c2">N</font></span>)</span></span>)</span></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c3">i</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:43"><span class="lab"><font color="Green" title="E17">A2</font></span></a>, <a class="ref" href="extpro_1.html#D1" onmouseover="rs('extpro_1/D1')" onmouseout="rh()">EXTPRO_1:def 1</a></span>
<br/>.= 
 <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="memstr_0.html#K2" title="MEMSTR_0:func.2">the_Values_of</a> <span class="p3">(<span class="default"><a href="extpro_1.html#K1" title="EXTPRO_1:func.1">Trivial-AMI</a> <font color="Maroon" title="c2">N</font></span>)</span></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:43"><span class="lab"><font color="Green" title="E16">A1</font></span></a></span>
;<br/>
<a NAME="E5:43"/><span class="kw">then </span>
<span class="p1">(<span class="default"> the <a href="extpro_1.html#U1" title="EXTPRO_1:sel.1">Execution</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="c2">N</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c3">i</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">s</font>
 
;<br/>
<span class="kw">hence </span><a NAME="E6:43"/>
 <a href="extpro_1.html#K2" title="EXTPRO_1:func.2">Exec</a> (<font color="Maroon" title="c3">i</font>,<font color="Maroon" title="c5">s</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">s</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" 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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