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<b>let </b><font color="Maroon">ins</font> be   <a href="ami_1.html#NM3">Instruction</a> of <a href="ami_3.html#K1">SCM</a> ;<br/>

<b>assume </b><a NAME="E1:32"/><i><font color="Green">E34</font></i>: 
 <a href="ami_5.html#K1" target="_self">InsCode</a> <font color="Maroon">ins</font> <a href="hidden.html#R1">=</a> 7
 ;<br/>

<a NAME="E2:32"/><i><font color="Green">E35</font></i>: 
not <font color="Maroon">ins</font> <a href="hidden.html#R2">in</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"><a href="ami_2.html#K1">SCM-Halt</a> ,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i>, , <a class="ref" href="ami_2.html#D1">AMI_2:def 1</a>, <a class="ref" href="ami_3.html#T71">AMI_3:71</a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<div><i><font color="Green">E45</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="32_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:32_1"/>
<font color="Maroon">ins</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">J</font>,<span class="p3"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Olive">a</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">J</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 9, <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  : <font color="Olive">J</font> <a href="hidden.html#R1">=</a> 6 </span>}</span> 
 ;<br/><b>then consider </b><font color="Maroon">J</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 9, <font color="Maroon">a</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> <b> such that </b><br/><a NAME="E3:32_1"/><i><font color="Green">E52</font></i>: 
<font color="Maroon">ins</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">J</font>,<span class="p2"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Maroon">a</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span>
 <b>and </b><br/><a NAME="E4:32_1"/><i><font color="Green">E54</font></i>: 
<font color="Maroon">J</font> <a href="hidden.html#R1">=</a> 6
 ;<br/><a NAME="E5:32_1"/>
 <a href="ami_5.html#K1" target="_self">InsCode</a> <font color="Maroon">ins</font> <a href="hidden.html#R1">=</a> <font color="Maroon">J</font>
 <b>by </b><i><a class="ref" href="ami_5.html#T16" target="_self">Th16</a>, <a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/><b>hence </b><a NAME="E6:32_1"/>
contradiction
 <b>by </b><i>, </i>;<br/></div><b>end;</b></div>
<div><i><font color="Green">E55</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="32_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:32_2"/>
<font color="Maroon">ins</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">I</font>,<span class="p3"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">b</font>,<font color="Olive">c</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">I</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 9, <font color="Olive">b</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Olive">c</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : <font color="Olive">I</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="domain_1.html#K10">{</a><span class="default">1,2,3,4,5</span><a href="domain_1.html#K10">}</a></span> </span>}</span> 
 ;<br/><b>then consider </b><font color="Maroon">I</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 9, <font color="Maroon">b</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> , <font color="Maroon">c</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> <b> such that </b><br/><a NAME="E3:32_2"/><i><font color="Green">E56</font></i>: 
<font color="Maroon">ins</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">I</font>,<span class="p2"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Maroon">b</font>,<font color="Maroon">c</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span>
 <b>and </b><br/><a NAME="E4:32_2"/><i><font color="Green">E57</font></i>: 
<font color="Maroon">I</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="domain_1.html#K10">{</a><span class="default">1,2,3,4,5</span><a href="domain_1.html#K10">}</a></span>
 ;<br/><a NAME="E5:32_2"/>
 <a href="ami_5.html#K1" target="_self">InsCode</a> <font color="Maroon">ins</font> <a href="hidden.html#R1">=</a> <font color="Maroon">I</font>
 <b>by </b><i>, <a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/><b>hence </b><a NAME="E6:32_2"/>
contradiction
 <b>by </b><i>, <a class="ref" href="ami_5.html#T18" target="_self">Th18</a>, <a class="ref" href="enumset1.html#D3">ENUMSET1:def 3</a></i>;<br/></div><b>end;</b></div>
<a NAME="E5:32"/><i><font color="Green">E58</font></i>: 
not <font color="Maroon">ins</font> <a href="hidden.html#R2">in</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"><a href="ami_2.html#K1">SCM-Halt</a> ,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">J</font>,<span class="p3"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Olive">a</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">J</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 9, <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  : <font color="Olive">J</font> <a href="hidden.html#R1">=</a> 6 </span>}</span> 
 
<b>by </b><i>, , <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E6:32"/>
<font color="Maroon">ins</font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><span class="p2"><a href="tarski.html#K1">{</a><span class="default"><span class="p3"><a href="tarski.html#K4">[</a><span class="default"><a href="ami_2.html#K1">SCM-Halt</a> ,<a href="xboole_0.html#K1">{}</a> </span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> <a href="xboole_0.html#K2">\/</a> <span class="p2">{<span class="default"> <span class="p3"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">J</font>,<span class="p4"><a href="finseq_1.html#K12">&lt;*</a><span class="default"><font color="Olive">a</font></span><a href="finseq_1.html#K12">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">J</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 9, <font color="Olive">a</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a>  : <font color="Olive">J</font> <a href="hidden.html#R1">=</a> 6 </span>}</span> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">K</font>,<span class="p3"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">a1</font>,<font color="Olive">b1</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">K</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 9, <font color="Olive">a1</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> , <font color="Olive">b1</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : <font color="Olive">K</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">7,8</span><a href="domain_1.html#K7">}</a></span> </span>}</span> 
 
<b>by </b><i><a class="ref" href="ami_5.html#T16" target="_self">Th16</a>, <a class="ref" href="ami_2.html#D4">AMI_2:def 4</a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E7:32"/><b>then </b>
<font color="Maroon">ins</font> <a href="hidden.html#R2">in</a> <span class="p1">{<span class="default"> <span class="p2"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">K</font>,<span class="p3"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Olive">a1</font>,<font color="Olive">b1</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span> where <font color="Olive">K</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 9, <font color="Olive">a1</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> , <font color="Olive">b1</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a>  : <font color="Olive">K</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">7,8</span><a href="domain_1.html#K7">}</a></span> </span>}</span> 
 
<b>by </b><i>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<b>then consider </b><font color="Maroon">K</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 9, <font color="Maroon">a1</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> , <font color="Maroon">b1</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> <b> such that </b><br/><a NAME="E9:32"/><i><font color="Green">E86</font></i>: 
<font color="Maroon">ins</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">K</font>,<span class="p2"><a href="finseq_1.html#K10">&lt;*</a><span class="default"><font color="Maroon">a1</font>,<font color="Maroon">b1</font></span><a href="finseq_1.html#K10">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span>
 <b>and </b><br/><a NAME="E10:32"/>
<font color="Maroon">K</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="domain_1.html#K7">{</a><span class="default">7,8</span><a href="domain_1.html#K7">}</a></span>
 ;<br/>
<a NAME="E11:32"/><i><font color="Green">E94</font></i>: 
 <a href="ami_5.html#K1" target="_self">InsCode</a> <font color="Maroon">ins</font> <a href="hidden.html#R1">=</a> <font color="Maroon">K</font>
 
<b>by </b><i><a class="ref" href="ami_5.html#T18" target="_self">Th18</a>, <a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<b>reconsider </b><font color="Maroon">loc</font> = <font color="Maroon">a1</font> <a href="ami_5.html#K3" target="_self">@</a>  as   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="ami_3.html#K1">SCM</a>  ;<br/>
<b>reconsider </b><font color="Maroon">da</font> = <font color="Maroon">b1</font> <a href="ami_5.html#K4" target="_self">@</a>  as    <a href="ami_3.html#M1">Data-Location</a>  ;<br/>
<b>take </b>
<font color="Maroon">loc</font>
;<br/>

<b>take </b>
<font color="Maroon">da</font>
;<br/>

<b>thus </b><a NAME="E14:32"/>
<font color="Maroon">ins</font> <a href="hidden.html#R1">=</a> <font color="Maroon">da</font> <a href="ami_3.html#K9">=0_goto</a> <font color="Maroon">loc</font>
 <b>by </b><i>, <a class="ref" href="ami_5.html#T18" target="_self">Th18</a>, </i>;<br/>


</div>
