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<b>let </b><font color="Maroon">f</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a> ;<br/>

<a NAME="E1:18"/><i><font color="Green">E34</font></i>: 
not <font color="Maroon">f</font> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K5">NAT</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<div><i><font color="Green">E35</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="18_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:18_1"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">f</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>
 ;<br/><a NAME="E2:18_1"/>
 <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> <a href="tarski.html#R1">c=</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="ref" href="relat_1.html#T44">RELAT_1:44</a></i>;<br/><a NAME="E3:18_1"/><b>then </b>
<font color="Maroon">f</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="relat_1.html#T86">RELAT_1:86</a></i>;<br/><b>hence </b><a NAME="E4:18_1"/>
contradiction
 <b>by </b><i>, <a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/></div><b>end;</b></div>
<a NAME="E3:18"/><i><font color="Green">E37</font></i>: 
not <font color="Maroon">f</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/>
<b>thus </b><a href="scmfsa_1.html#K6" target="_self">SCM+FSA-OK</a>  <a href="funct_2.html#K3">.</a> <font color="Maroon">f</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p3">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <a href="ami_2.html#K5">SCM-OK</a> </span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">f</font>
<b>by </b><i>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="pboole.html#K9">--&gt;</a> <span class="p2">(<span class="default"><a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> </span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">f</font>
<b>by </b><i>, <a class="ref" href="funct_4.html#T12">FUNCT_4:12</a></i>
<br/>.= 
<a href="numbers.html#K4">INT</a>  <a href="finseq_1.html#K13">*</a> 
<b>by </b><i><a class="ref" href="funcop_1.html#T13">FUNCOP_1:13</a></i>
;<br/>


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