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<b>let </b><font color="Maroon">l1</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> , <font color="Maroon">l2</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><b>let </b><font color="Maroon">k</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/>



<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:10_1"/><i><font color="Green">E27</font></i>: 
 <a href="ami_3.html#K12">Start-At</a> <span class="p1">(<span class="default"><font color="Maroon">l1</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K12">Start-At</a> <span class="p1">(<span class="default"><font color="Maroon">l2</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span>
 ;<br/><a NAME="E2:10_1"/><i><font color="Green">E30</font></i>: 
(  <a href="ami_3.html#K12">Start-At</a> <span class="p1">(<span class="default"><font color="Maroon">l1</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">l1</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span> &amp;  <a href="ami_3.html#K12">Start-At</a> <span class="p1">(<span class="default"><font color="Maroon">l2</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">l2</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span> )
 ;<br/><a NAME="E3:10_1"/>
<span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">l1</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span></span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span> <a href="cqc_lang.html#K3">.--&gt;</a> <span class="p1">(<span class="default"><font color="Maroon">l2</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span>
 <b>by </b><i>, <a class="ref" href="ami_5.html#T35">AMI_5:35</a></i>;<br/><a NAME="E4:10_1"/><b>then </b>
<span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">l1</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span></span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> <a href="hidden.html#R1">=</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"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">l2</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span></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_5.html#T35">AMI_5:35</a></i>;<br/><a NAME="E5:10_1"/><b>then </b>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">l1</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">l2</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span></span><a href="tarski.html#K4">]</a></span>
 <b>by </b><i><a class="ref" href="zfmisc_1.html#T6">ZFMISC_1:6</a></i>;<br/><a NAME="E6:10_1"/><b>then </b>
<font color="Maroon">l1</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">l2</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font>
 <b>by </b><i><a class="ref" href="zfmisc_1.html#T33">ZFMISC_1:33</a></i>;<br/><a NAME="E7:10_1"/><b>then </b>
<font color="Maroon">l1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">l2</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span> <a href="scmfsa_4.html#K3" target="_self">-'</a> <font color="Maroon">k</font>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E8:10_1"/>
 <a href="ami_3.html#K12">Start-At</a> <font color="Maroon">l1</font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K12">Start-At</a> <font color="Maroon">l2</font>
 <b>by </b><i/>;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:10"/>
 <a href="ami_3.html#K12">Start-At</a> <font color="Maroon">l1</font> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K12">Start-At</a> <font color="Maroon">l2</font>
 ;<br/>

<a NAME="E3:10"/><b>then </b>
<span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>,<font color="Maroon">l1</font></span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K12">Start-At</a> <font color="Maroon">l2</font>
 
<b>by </b><i><a class="ref" href="ami_5.html#T35">AMI_5:35</a></i>;<br/>
<a NAME="E4:10"/><b>then </b>
<span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>,<font color="Maroon">l1</font></span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> <a href="hidden.html#R1">=</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"><span class="p3">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>,<font color="Maroon">l2</font></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_5.html#T35">AMI_5:35</a></i>;<br/>
<a NAME="E5:10"/><b>then </b>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>,<font color="Maroon">l1</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><a href="ami_1.html#K2">IC</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span>,<font color="Maroon">l2</font></span><a href="tarski.html#K4">]</a></span>
 
<b>by </b><i><a class="ref" href="zfmisc_1.html#T6">ZFMISC_1:6</a></i>;<br/>
<b>hence </b><a NAME="E6:10"/>
 <a href="ami_3.html#K12">Start-At</a> <span class="p1">(<span class="default"><font color="Maroon">l1</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_3.html#K12">Start-At</a> <span class="p1">(<span class="default"><font color="Maroon">l2</font> <a href="scmfsa_4.html#K2" target="_self">+</a> <font color="Maroon">k</font></span>)</span>
 <b>by </b><i><a class="ref" href="zfmisc_1.html#T33">ZFMISC_1:33</a></i>;<br/>


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