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<b>consider </b><font color="Maroon">e</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font><b> such that </b><br/><a NAME="E2:92_1_1"/><i><font color="Green">E50</font></i>: 
<font color="Maroon">e</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font>
 <b>by </b><i><a class="ref" href="anproj_1.html#D8">ANPROJ_1:def 8</a></i>;<br/>
<b>reconsider </b><font color="Maroon">e</font> = <font color="Maroon">e</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font> ;<br/>
<b>consider </b><font color="Maroon">w</font> being   <a href="ami_1.html#NM4">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">S</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">t</font> = <font color="Maroon">w</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span> <a href="scmring3.html#K1" target="_self">--&gt;</a> <span class="p2">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">e</font></span>)</span>;<br/>
<i><font color="Green">E51</font></i>:  <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="scmring2.html#K6">SubFrom</a> <font color="Maroon">p</font>,<font color="Maroon">q</font></span>)</span> = 
3
<b>by </b><i/>
<br/>.= 
 <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="scmring2.html#K6">SubFrom</a> <span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span></span>)</span>
<b>by </b><i/>
;<br/>
<a NAME="E6:92_1_1"/><i><font color="Green">E64</font></i>: 
 <a href="ami_1.html#K2">IC</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">S</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K2">IC</a> <a href="ami_3.html#K1">SCM</a> 
 
<b>by </b><i><a class="ref" href="ami_3.html#T4">AMI_3:4</a>, <a class="ref" href="scmring2.html#T9">SCMRING2:9</a></i>;<br/>
<a NAME="E7:92_1_1"/><i><font color="Green">E67</font></i>: 
 <a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="ami_1.html#K2">IC</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1">SCM</a> <font color="Maroon">S</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmring3.html#T14" target="_self">Th14</a>, <a class="ref" href="ami_3.html#T57">AMI_3:57</a></i>;<br/>
<a NAME="E8:92_1_1"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span> <a href="scmring3.html#K1" target="_self">--&gt;</a> <span class="p2">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">e</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span></span><a href="tarski.html#K2">}</a></span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T65">FUNCT_4:65</a></i>;<br/>
<a NAME="E9:92_1_1"/><b>then </b><i><font color="Green">E68</font></i>: 
(  <a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0 <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="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span> <a href="scmring3.html#K1" target="_self">--&gt;</a> <span class="p2">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">e</font></span>)</span> &amp;  <a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1 <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="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span> <a href="scmring3.html#K1" target="_self">--&gt;</a> <span class="p2">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">e</font></span>)</span> )
 
<b>by </b><i><a class="ref" href="tarski.html#D2">TARSKI:def 2</a></i>;<br/>
<a NAME="E10:92_1_1"/><i><font color="Green">E69</font></i>: 
 <a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1
 
<b>by </b><i><a class="ref" href="ami_3.html#T52">AMI_3:52</a></i>;<br/>
<i><font color="Green">E104</font></i>: <span class="p1">(<span class="default"><font color="Maroon">w</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p3">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span> <a href="scmring3.html#K1" target="_self">--&gt;</a> <span class="p3">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">e</font></span>)</span></span>)</span> <a href="scmring2.html#K3">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span> <a href="scmring3.html#K1" target="_self">--&gt;</a> <span class="p2">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">e</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>
<b>by </b><i><a class="ref" href="scmring3.html#T16" target="_self">Th16</a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
 <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font>
<b>by </b><i><a class="ref" href="scmring3.html#T17" target="_self">Th17</a>, <a class="ref" href="funct_4.html#T66">FUNCT_4:66</a></i>
;<br/>
<i><font color="Green">E112</font></i>: <span class="p1">(<span class="default"><font color="Maroon">w</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p3">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span> <a href="scmring3.html#K1" target="_self">--&gt;</a> <span class="p3">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">e</font></span>)</span></span>)</span> <a href="scmring2.html#K3">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span> <a href="scmring3.html#K1" target="_self">--&gt;</a> <span class="p2">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">e</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span>
<b>by </b><i><a class="ref" href="scmring3.html#T16" target="_self">Th16</a>, <a class="ref" href="funct_4.html#T14">FUNCT_4:14</a></i>
<br/>.= 
<font color="Maroon">e</font>
<b>by </b><i><a class="ref" href="scmring3.html#T17" target="_self">Th17</a>, <a class="ref" href="funct_4.html#T66">FUNCT_4:66</a></i>
;<br/>
<i><font color="Green">E126</font></i>: <span class="p1">(<span class="default"><a href="ami_1.html#K4">Exec</a> <span class="p2">(<span class="default"><a href="scmring2.html#K6">SubFrom</a> <span class="p3">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p3">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">w</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p4">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span> <a href="scmring3.html#K1" target="_self">--&gt;</a> <span class="p4">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">e</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">w</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p4">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span> <a href="scmring3.html#K1" target="_self">--&gt;</a> <span class="p4">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">e</font></span>)</span></span>)</span> <a href="scmring2.html#K3">.</a> <span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">w</font> <a href="ami_5.html#K8">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,0</span>)</span>,<span class="p4">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span> <a href="scmring3.html#K1" target="_self">--&gt;</a> <span class="p4">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span>,<font color="Maroon">e</font></span>)</span></span>)</span> <a href="scmring2.html#K3">.</a> <span class="p2">(<span class="default"><a href="scmring3.html#K2" target="_self">dl.</a> <font color="Maroon">S</font>,1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmring2.html#T15">SCMRING2:15</a></i>
<br/>.= 
 <a href="rlvect_1.html#K5">-</a> <font color="Maroon">e</font>
<b>by </b><i><a class="ref" href="scmring3.html#T18" target="_self">Th18</a>, <a class="ref" href="scmring3.html#T19" target="_self">Th19</a>, <a class="ref" href="rlvect_1.html#T27">RLVECT_1:27</a></i>
;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="92_1_1_5"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:92_1_1_5"/>
 <a href="rlvect_1.html#K5">-</a> <font color="Maroon">e</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font>
 ;<br/><a NAME="E2:92_1_1_5"/><b>then </b>
<font color="Maroon">e</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K5">-</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">S</font></span>)</span>
 <b>by </b><i><a class="ref" href="rlvect_1.html#T30">RLVECT_1:30</a></i>;<br/><b>hence </b><a NAME="E3:92_1_1_5"/>
contradiction
 <b>by </b><i><a class="ref" href="scmring3.html#T12" target="_self">Th12</a>, <a class="ref" href="rlvect_1.html#T25">RLVECT_1:25</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E15:92_1_1"/>
not  <a href="ami_5.html#K1">InsCode</a> <span class="p1">(<span class="default"><a href="scmring2.html#K6">SubFrom</a> <font color="Maroon">p</font>,<font color="Maroon">q</font></span>)</span> is <a href="amistd_1.html#V1">jump-only</a>
 <b>by </b><i><a class="ref" href="scmring3.html#T13" target="_self">Th13</a>, <a class="ref" href="scmring3.html#T15" target="_self">Th15</a>, <a class="ref" href="scmring3.html#T18" target="_self">Th18</a>, <a class="ref" href="scmring3.html#T20" target="_self">Th20</a>, <a class="ref" href="amistd_1.html#D3">AMISTD_1:def 3</a></i>;<br/>


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