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<a NAME="E1:85_1_1"/><i><font color="Green" title="E65">A1</font></i>: 
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font>
 
<b>by </b><i><a class="ref" href="lmod_6.html#D2" title="LMOD_6:def.2">LMOD_6:def 2</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c4">w</font> being   <a href="ami_1.html#NM5" title="AMI_1:NM.5">State</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c1">S</font></span>)</span>;<br/>
<b>set </b><font color="Maroon" title="c5">t</font> = <font color="Maroon" title="c4">w</font> <a href="ami_1.html#K34" title="AMI_1:func.34">+*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span> <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> <span class="p2">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font></span>)</span>,<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span>;<br/>
<i><font color="Green" title="E66">A2</font></i>:  <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <span class="p1">(<span class="default"><a href="scmring2.html#K7" title="SCMRING2:func.7">MultBy</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">q</font></span>)</span> = 
4
<b>by </b><i><a class="ref" href="mcart_1.html#D1" title="MCART_1:def.1">MCART_1:def 1</a></i>
<br/>.= 
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <span class="p1">(<span class="default"><a href="scmring2.html#K7" title="SCMRING2:func.7">MultBy</a> <span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="mcart_1.html#D1" title="MCART_1:def.1">MCART_1:def 1</a></i>
;<br/>
<a NAME="E4:85_1_1"/>
 <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c1">S</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <a href="ami_3.html#K1" title="AMI_3:func.1">SCM</a> 
 
<b>by </b><i><a class="ref" href="ami_3.html#T4" title="AMI_3:th.4">AMI_3:4</a>, <a class="ref" href="scmring2.html#T9" title="SCMRING2:th.9">SCMRING2:9</a></i>;<br/>
<a NAME="E5:85_1_1"/><b>then </b><i><font color="Green" title="E67">A3</font></i>: 
 <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="ami_1.html#K2" title="AMI_1:func.2">IC</a> <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c1">S</font></span>)</span>
 
<b>by </b><i><a class="ref" href="ami_3.html#T57" title="AMI_3:th.57">AMI_3:57</a></i>;<br/>
<a NAME="E6:85_1_1"/>
 <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span> <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> <span class="p2">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font></span>)</span>,<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span>
 
<b>by </b><i><a class="ref" href="funct_4.html#T65" title="FUNCT_4:th.65">FUNCT_4:65</a></i>;<br/>
<a NAME="E7:85_1_1"/><b>then </b><i><font color="Green" title="E68">A4</font></i>: 
(  <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span> <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> <span class="p2">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font></span>)</span>,<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span> &amp;  <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span> <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> <span class="p2">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font></span>)</span>,<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span> )
 
<b>by </b><i><a class="ref" href="tarski.html#D2" title="TARSKI:def.2">TARSKI:def 2</a></i>;<br/>
<a NAME="E8:85_1_1"/><i><font color="Green" title="E69">A5</font></i>: 
 <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1
 
<b>by </b><i><a class="ref" href="ami_3.html#T52" title="AMI_3:th.52">AMI_3:52</a></i>;<br/>
<i><font color="Green" title="E70">A6</font></i>: <span class="p1">(<span class="default"><font color="Maroon" title="c4">w</font> <a href="ami_1.html#K34" title="AMI_1:func.34">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p3">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span> <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> <span class="p3">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font></span>)</span>,<span class="p3">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span> <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> <span class="p2">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font></span>)</span>,<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>
<b>by </b><i><a class="txt" href="scmring3.html#E7:85_1_1"><i><font color="Green" title="E68">A4</font></i></a>, <a class="ref" href="funct_4.html#T14" title="FUNCT_4:th.14">FUNCT_4:14</a></i>
<br/>.= 
 <a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font>
<b>by </b><i><a class="txt" href="scmring3.html#E8:85_1_1"><i><font color="Green" title="E69">A5</font></i></a>, <a class="ref" href="funct_4.html#T66" title="FUNCT_4:th.66">FUNCT_4:66</a></i>
;<br/>
<i><font color="Green" title="E71">A7</font></i>: <span class="p1">(<span class="default"><font color="Maroon" title="c4">w</font> <a href="ami_1.html#K34" title="AMI_1:func.34">+*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p3">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span> <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> <span class="p3">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font></span>)</span>,<span class="p3">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span> <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> <span class="p2">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font></span>)</span>,<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span>
<b>by </b><i><a class="txt" href="scmring3.html#E7:85_1_1"><i><font color="Green" title="E68">A4</font></i></a>, <a class="ref" href="funct_4.html#T14" title="FUNCT_4:th.14">FUNCT_4:14</a></i>
<br/>.= 
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font>
<b>by </b><i><a class="ref" href="funct_4.html#T66" title="FUNCT_4:th.66">FUNCT_4:66</a></i>
;<br/>
<span class="p1">(<span class="default"><a href="ami_1.html#K4" title="AMI_1:func.4">Exec</a> <span class="p2">(<span class="default"><a href="scmring2.html#K7" title="SCMRING2:func.7">MultBy</a> <span class="p3">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p3">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c4">w</font> <a href="ami_1.html#K34" title="AMI_1:func.34">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p4">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span> <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> <span class="p4">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font></span>)</span>,<span class="p4">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <span class="p1">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c4">w</font> <a href="ami_1.html#K34" title="AMI_1:func.34">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p4">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span> <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> <span class="p4">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font></span>)</span>,<span class="p4">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span></span>)</span> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c4">w</font> <a href="ami_1.html#K34" title="AMI_1:func.34">+*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span>,<span class="p4">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span> <a href="scmring3.html#K1" title="SCMRING3:func.1">--&gt;</a> <span class="p4">(<span class="default"><a href="group_1.html#K1" title="GROUP_1:func.1">1_</a> <font color="Maroon" title="c1">S</font></span>)</span>,<span class="p4">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font></span>)</span></span>)</span></span>)</span> <a href="scmring2.html#K3" title="SCMRING2:func.3">.</a> <span class="p2">(<span class="default"><a href="scmring3.html#K2" title="SCMRING3:func.2">dl.</a> <font color="Maroon" title="c1">S</font>,1</span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmring2.html#T16" title="SCMRING2:th.16">SCMRING2:16</a></i>
<br/>.= 
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <font color="Maroon" title="c1">S</font>
<b>by </b><i><a class="txt" href="scmring3.html#E10:85_1_1"><i><font color="Green" title="E71">A7</font></i></a>, <a class="ref" href="vectsp_1.html#T36" title="VECTSP_1:th.36">VECTSP_1:36</a></i>
;<br/>
<b>hence </b><a NAME="E12:85_1_1"/>
 <a href="ami_1.html#K20" title="AMI_1:func.20">InsCode</a> <span class="p1">(<span class="default"><a href="scmring2.html#K7" title="SCMRING2:func.7">MultBy</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c3">q</font></span>)</span> is  non <a href="amistd_1.html#V1" title="AMISTD_1:attr.1">jump-only</a> <a href="ami_1.html#NM10" title="AMI_1:NM.10">InsType</a> of <span class="p1">(<span class="default"><a href="scmring2.html#K1" title="SCMRING2:func.1">SCM</a> <font color="Maroon" title="c1">S</font></span>)</span>
 <b>by </b><i><a class="txt" href="scmring3.html#E1:85_1_1"><i><font color="Green" title="E65">A1</font></i></a>, <a class="txt" href="scmring3.html#E3:85_1_1"><i><font color="Green" title="E66">A2</font></i></a>, <a class="txt" href="scmring3.html#E5:85_1_1"><i><font color="Green" title="E67">A3</font></i></a>, <a class="txt" href="scmring3.html#E9:85_1_1"><i><font color="Green" title="E70">A6</font></i></a>, <a class="ref" href="amistd_1.html#D3" title="AMISTD_1:def.3">AMISTD_1:def 3</a></i>;<br/>


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