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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>

<a NAME="E1:11"/><i><font color="Green">E6</font></i>: 
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><a href="ami_2.html#K4">SCM-Instr</a> </span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/>
<b>assume </b><a NAME="E2:11"/><i><font color="Green">E7</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="ami_2.html#K3">SCM-Instr-Loc</a> 
 ;<br/>

<a NAME="E3:11"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K5">NAT</a> 
 
;<br/>
<a NAME="E4:11"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <a href="ami_2.html#K5">SCM-OK</a> 
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<a NAME="E5:11"/><b>then </b>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="scmfsa_1.html#E2:11"><i><font color="Green">E7</font></i></a>, <a class="ref" href="relat_1.html#T86">RELAT_1:86</a></i>;<br/>
<b>hence </b><a NAME="E6:11"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="ami_2.html#K4">SCM-Instr</a>  <a href="cqc_lang.html#K3">.--&gt;</a> <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> </span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="ami_2.html#K5">SCM-OK</a>  <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K3">SCM-Instr-Loc</a> </span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="scmfsa_1.html#E1:11"><i><font color="Green">E6</font></i></a>, <a class="txt" href="scmfsa_1.html#E12"><i><font color="Green">Lemma4</font></i></a>, <a class="ref" href="relat_1.html#T46">RELAT_1:46</a></i>;<br/>


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