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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="subset_1.html#M2">Element</a> of  <a href="gr_cy_1.html#K1">Segm</a> 14;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="scmpds_1.html#K1" target="_self">SCMPDS-Instr</a> ;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be    <a href="subset_1.html#M2">Element</a> of  <a href="ami_2.html#K2">SCM-Data-Loc</a> ;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font> be   <a href="int_1.html#NM1">Integer</a>;<br/>







<b>assume </b><a NAME="E1:43"/><i><font color="Green">E27</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>1</sub></font>,<span class="p2"><a href="finseq_4.html#K8">&lt;*</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font></span><a href="finseq_4.html#K8">*&gt;</a></span></span><a href="tarski.html#K4">]</a></span>
 ;<br/>

<a NAME="E2:43"/><i><font color="Green">E28</font></i>: 
( <font color="Maroon">c<sub>3</sub></font> is    <a href="subset_1.html#M1">Element</a> of <a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a>  &amp; <font color="Maroon">c<sub>4</sub></font> is    <a href="subset_1.html#M1">Element</a> of <a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a>  )
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E3:43"/>
<font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K4">INT</a> 
 
<b>by </b><i><a class="ref" href="int_1.html#D2">INT_1:def 2</a></i>;<br/>
<a NAME="E4:43"/><b>then </b><i><font color="Green">E29</font></i>: 
<font color="Maroon">c<sub>5</sub></font> is    <a href="subset_1.html#M1">Element</a> of <a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E5:43"/>
<font color="Maroon">c<sub>6</sub></font> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K4">INT</a> 
 
<b>by </b><i><a class="ref" href="int_1.html#D2">INT_1:def 2</a></i>;<br/>
<a NAME="E6:43"/><b>then </b><i><font color="Green">E30</font></i>: 
<font color="Maroon">c<sub>6</sub></font> is    <a href="subset_1.html#M1">Element</a> of <a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>7</sub></font> being    <a href="finseq_1.html#M2">FinSequence</a> of <a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> <b> such that </b><br/><a NAME="E8:43"/><i><font color="Green">E31</font></i>: 
( <font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="mcart_1.html#K2">`2</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="scmpds_1.html#K17" target="_self">P41address</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>7</sub></font> <a href="finseq_4.html#K4">/.</a> 1 )
 <b>by </b><i><a class="txt" href="scmpds_1.html#E1:43"><i><font color="Green">E27</font></i></a>, <a class="ref" href="scmpds_1.html#D17" target="_self">Def17</a></i>;<br/>
<a NAME="E9:43"/>
<font color="Maroon">c<sub>7</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_4.html#K8">&lt;*</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font></span><a href="finseq_4.html#K8">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="scmpds_1.html#E1:43"><i><font color="Green">E27</font></i></a>, <a class="txt" href="scmpds_1.html#E8:43"><i><font color="Green">E31</font></i></a>, <a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<b>hence </b><a NAME="E10:43"/>
<font color="Maroon">c<sub>2</sub></font> <a href="scmpds_1.html#K17" target="_self">P41address</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="scmpds_1.html#E2:43"><i><font color="Green">E28</font></i></a>, <a class="txt" href="scmpds_1.html#E4:43"><i><font color="Green">E29</font></i></a>, <a class="txt" href="scmpds_1.html#E6:43"><i><font color="Green">E30</font></i></a>, <a class="txt" href="scmpds_1.html#E8:43"><i><font color="Green">E31</font></i></a>, <a class="ref" href="finseq_4.html#T95">FINSEQ_4:95</a></i>;<br/>

<b>consider </b><font color="Maroon">c<sub>8</sub></font> being    <a href="finseq_1.html#M2">FinSequence</a> of <a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> <b> such that </b><br/><a NAME="E12:43"/><i><font color="Green">E32</font></i>: 
( <font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="mcart_1.html#K2">`2</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="scmpds_1.html#K18" target="_self">P42address</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>8</sub></font> <a href="finseq_4.html#K4">/.</a> 2 )
 <b>by </b><i><a class="txt" href="scmpds_1.html#E1:43"><i><font color="Green">E27</font></i></a>, <a class="ref" href="scmpds_1.html#D18" target="_self">Def18</a></i>;<br/>
<a NAME="E13:43"/>
<font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_4.html#K8">&lt;*</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font></span><a href="finseq_4.html#K8">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="scmpds_1.html#E1:43"><i><font color="Green">E27</font></i></a>, <a class="txt" href="scmpds_1.html#E12:43"><i><font color="Green">E32</font></i></a>, <a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<b>hence </b><a NAME="E14:43"/>
<font color="Maroon">c<sub>2</sub></font> <a href="scmpds_1.html#K18" target="_self">P42address</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="txt" href="scmpds_1.html#E2:43"><i><font color="Green">E28</font></i></a>, <a class="txt" href="scmpds_1.html#E4:43"><i><font color="Green">E29</font></i></a>, <a class="txt" href="scmpds_1.html#E6:43"><i><font color="Green">E30</font></i></a>, <a class="txt" href="scmpds_1.html#E12:43"><i><font color="Green">E32</font></i></a>, <a class="ref" href="finseq_4.html#T95">FINSEQ_4:95</a></i>;<br/>

<b>consider </b><font color="Maroon">c<sub>9</sub></font> being    <a href="finseq_1.html#M2">FinSequence</a> of <a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> <b> such that </b><br/><a NAME="E16:43"/><i><font color="Green">E33</font></i>: 
( <font color="Maroon">c<sub>9</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="mcart_1.html#K2">`2</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="scmpds_1.html#K19" target="_self">P43const</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>9</sub></font> <a href="finseq_4.html#K4">/.</a> 3 )
 <b>by </b><i><a class="txt" href="scmpds_1.html#E1:43"><i><font color="Green">E27</font></i></a>, <a class="ref" href="scmpds_1.html#D19" target="_self">Def19</a></i>;<br/>
<a NAME="E17:43"/>
<font color="Maroon">c<sub>9</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_4.html#K8">&lt;*</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font></span><a href="finseq_4.html#K8">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="scmpds_1.html#E1:43"><i><font color="Green">E27</font></i></a>, <a class="txt" href="scmpds_1.html#E16:43"><i><font color="Green">E33</font></i></a>, <a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<b>hence </b><a NAME="E18:43"/>
<font color="Maroon">c<sub>2</sub></font> <a href="scmpds_1.html#K19" target="_self">P43const</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font>
 <b>by </b><i><a class="txt" href="scmpds_1.html#E2:43"><i><font color="Green">E28</font></i></a>, <a class="txt" href="scmpds_1.html#E4:43"><i><font color="Green">E29</font></i></a>, <a class="txt" href="scmpds_1.html#E6:43"><i><font color="Green">E30</font></i></a>, <a class="txt" href="scmpds_1.html#E16:43"><i><font color="Green">E33</font></i></a>, <a class="ref" href="finseq_4.html#T95">FINSEQ_4:95</a></i>;<br/>

<b>consider </b><font color="Maroon">c<sub>10</sub></font> being    <a href="finseq_1.html#M2">FinSequence</a> of <a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="xboole_0.html#K2">\/</a> <a href="numbers.html#K4">INT</a> <b> such that </b><br/><a NAME="E20:43"/><i><font color="Green">E34</font></i>: 
( <font color="Maroon">c<sub>10</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="mcart_1.html#K2">`2</a>  &amp; <font color="Maroon">c<sub>2</sub></font> <a href="scmpds_1.html#K20" target="_self">P44const</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>10</sub></font> <a href="finseq_4.html#K4">/.</a> 4 )
 <b>by </b><i><a class="txt" href="scmpds_1.html#E1:43"><i><font color="Green">E27</font></i></a>, <a class="ref" href="scmpds_1.html#D20" target="_self">Def20</a></i>;<br/>
<a NAME="E21:43"/>
<font color="Maroon">c<sub>10</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="finseq_4.html#K8">&lt;*</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font></span><a href="finseq_4.html#K8">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="scmpds_1.html#E1:43"><i><font color="Green">E27</font></i></a>, <a class="txt" href="scmpds_1.html#E20:43"><i><font color="Green">E34</font></i></a>, <a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<b>hence </b><a NAME="E22:43"/>
<font color="Maroon">c<sub>2</sub></font> <a href="scmpds_1.html#K20" target="_self">P44const</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>6</sub></font>
 <b>by </b><i><a class="txt" href="scmpds_1.html#E2:43"><i><font color="Green">E28</font></i></a>, <a class="txt" href="scmpds_1.html#E4:43"><i><font color="Green">E29</font></i></a>, <a class="txt" href="scmpds_1.html#E6:43"><i><font color="Green">E30</font></i></a>, <a class="txt" href="scmpds_1.html#E20:43"><i><font color="Green">E34</font></i></a>, <a class="ref" href="finseq_4.html#T95">FINSEQ_4:95</a></i>;<br/>


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