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<b>let </b><font color="Maroon">I</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K4" target="_self">SCM+FSA-Instr</a> ;<br/>

<b>assume </b><a NAME="E1:7"/><i><font color="Green">E34</font></i>: 
 <a href="scmfsa_1.html#K5" target="_self">InsCode</a> <font color="Maroon">I</font> <a href="xxreal_0.html#R1">&lt;=</a> 8
 ;<br/>

<a NAME="E2:7"/><i><font color="Green">E35</font></i>: 
( <font color="Maroon">I</font> <a href="hidden.html#R2">in</a> <a href="ami_2.html#K4">SCM-Instr</a>  <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_4.html#K3">&lt;*</a><span class="default"><font color="Olive">c</font>,<font color="Olive">f</font>,<font color="Olive">b</font></span><a href="finseq_4.html#K3">*&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> 13, <font color="Olive">c</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , <font color="Olive">b</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , <font color="Olive">f</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a>  : <font color="Olive">J</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">9,10</span><a href="tarski.html#K2">}</a></span> </span>}</span>  or <font color="Maroon">I</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_4.html#K2">&lt;*</a><span class="default"><font color="Olive">c1</font>,<font color="Olive">f1</font></span><a href="finseq_4.html#K2">*&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> 13, <font color="Olive">c1</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , <font color="Olive">f1</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a>  : <font color="Olive">K</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">11,12</span><a href="tarski.html#K2">}</a></span> </span>}</span>  )
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<div><i><font color="Green">E36</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="7_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:7_1"/>
<font color="Maroon">I</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_4.html#K2">&lt;*</a><span class="default"><font color="Olive">c1</font>,<font color="Olive">f1</font></span><a href="finseq_4.html#K2">*&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> 13, <font color="Olive">c1</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , <font color="Olive">f1</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a>  : <font color="Olive">K</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">11,12</span><a href="tarski.html#K2">}</a></span> </span>}</span> 
 ;<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> 13, <font color="Maroon">c</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , <font color="Maroon">f</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a> <b> such that </b><br/><a NAME="E3:7_1"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">I</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_4.html#K2">&lt;*</a><span class="default"><font color="Maroon">c</font>,<font color="Maroon">f</font></span><a href="finseq_4.html#K2">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span>
 <b>and </b><br/><a NAME="E4:7_1"/><i><font color="Green">E38</font></i>: 
<font color="Maroon">K</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">11,12</span><a href="tarski.html#K2">}</a></span>
 ;<br/><a NAME="E5:7_1"/>
<font color="Maroon">I</font> <a href="mcart_1.html#K1">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">K</font>
 <b>by </b><i>, <a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/><a NAME="E6:7_1"/><b>then </b>
( <font color="Maroon">I</font> <a href="mcart_1.html#K1">`1</a>  <a href="hidden.html#R1">=</a> 11 or <font color="Maroon">I</font> <a href="mcart_1.html#K1">`1</a>  <a href="hidden.html#R1">=</a> 12 )
 <b>by </b><i>, <a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/><a NAME="E7:7_1"/><b>then </b>
(  <a href="scmfsa_1.html#K5" target="_self">InsCode</a> <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> 11 or  <a href="scmfsa_1.html#K5" target="_self">InsCode</a> <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> 12 )
 ;<br/><b>hence </b><a NAME="E8:7_1"/>
contradiction
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="7_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:7_2"/>
<font color="Maroon">I</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_4.html#K3">&lt;*</a><span class="default"><font color="Olive">c</font>,<font color="Olive">f</font>,<font color="Olive">b</font></span><a href="finseq_4.html#K3">*&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> 13, <font color="Olive">c</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , <font color="Olive">b</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , <font color="Olive">f</font> is    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a>  : <font color="Olive">J</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">9,10</span><a href="tarski.html#K2">}</a></span> </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> 13, <font color="Maroon">c</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , <font color="Maroon">b</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K1" target="_self">SCM+FSA-Data-Loc</a> , <font color="Maroon">f</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="scmfsa_1.html#K2" target="_self">SCM+FSA-Data*-Loc</a> <b> such that </b><br/><a NAME="E3:7_2"/><i><font color="Green">E39</font></i>: 
<font color="Maroon">I</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_4.html#K3">&lt;*</a><span class="default"><font color="Maroon">c</font>,<font color="Maroon">f</font>,<font color="Maroon">b</font></span><a href="finseq_4.html#K3">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span>
 <b>and </b><br/><a NAME="E4:7_2"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">J</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default">9,10</span><a href="tarski.html#K2">}</a></span>
 ;<br/><a NAME="E5:7_2"/>
<font color="Maroon">I</font> <a href="mcart_1.html#K1">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">J</font>
 <b>by </b><i>, <a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/><a NAME="E6:7_2"/><b>then </b>
( <font color="Maroon">I</font> <a href="mcart_1.html#K1">`1</a>  <a href="hidden.html#R1">=</a> 9 or <font color="Maroon">I</font> <a href="mcart_1.html#K1">`1</a>  <a href="hidden.html#R1">=</a> 10 )
 <b>by </b><i>, <a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/><a NAME="E7:7_2"/><b>then </b>
(  <a href="scmfsa_1.html#K5" target="_self">InsCode</a> <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> 9 or  <a href="scmfsa_1.html#K5" target="_self">InsCode</a> <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> 10 )
 ;<br/><b>hence </b><a NAME="E8:7_2"/>
contradiction
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E5:7"/>
<font color="Maroon">I</font> <a href="hidden.html#R2">in</a>  <a href="ami_2.html#K4">SCM-Instr</a> 
 <b>by </b><i>, , <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>


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