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<b>let </b><font color="Maroon" title="c1">I</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="card_1.html#K7" title="CARD_1:func.7">Segm</a> 14;<br/><b>let </b><font color="Maroon" title="c2">x</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="scmpds_1.html#K1" title="SCMPDS_1:func.1">SCMPDS-Instr</a> ;<br/><b>let </b><font color="Maroon" title="c3">d1</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K5" title="AMI_2:func.5">SCM-Data-Loc</a> ;<br/><b>let </b><font color="Maroon" title="c4">k1</font>, <font color="Maroon" title="c5">k2</font> be   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>;<br/>







<b>assume </b><a NAME="E1:40"/><i><font color="Green" title="E20">A1</font></i>: 
<font color="Maroon" title="c2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Maroon" title="c1">I</font>,<span class="p2"><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">k1</font>,<font color="Maroon" title="c5">k2</font></span><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">*&gt;</a></span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
 ;<br/>

<a NAME="E2:40"/><i><font color="Green" title="E21">A2</font></i>: 
<font color="Maroon" title="c3">d1</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <a href="ami_2.html#K5" title="AMI_2:func.5">SCM-Data-Loc</a>  <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E3:40"/>
<font color="Maroon" title="c4">k1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 
<b>by </b><i><a class="ref" href="int_1.html#D2" title="INT_1:def.2">INT_1:def 2</a></i>;<br/>
<a NAME="E4:40"/><b>then </b><i><font color="Green" title="E22">A3</font></i>: 
<font color="Maroon" title="c4">k1</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <a href="ami_2.html#K5" title="AMI_2:func.5">SCM-Data-Loc</a>  <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E5:40"/>
<font color="Maroon" title="c5">k2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 
<b>by </b><i><a class="ref" href="int_1.html#D2" title="INT_1:def.2">INT_1:def 2</a></i>;<br/>
<a NAME="E6:40"/><b>then </b><i><font color="Green" title="E23">A4</font></i>: 
<font color="Maroon" title="c5">k2</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <a href="ami_2.html#K5" title="AMI_2:func.5">SCM-Data-Loc</a>  <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2" title="XBOOLE_0:def.2">XBOOLE_0:def 2</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c6">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <a href="ami_2.html#K5" title="AMI_2:func.5">SCM-Data-Loc</a>  <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> <b> such that </b><br/><a NAME="E8:40"/><i><font color="Green" title="E24">A5</font></i>: 
( <font color="Maroon" title="c6">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">x</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a>  &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K14" title="SCMPDS_1:func.14">P31address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">f</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 1 )
 <b>by </b><i><a class="txt" href="scmpds_1.html#E1:40"><i><font color="Green" title="E20">A1</font></i></a>, <a class="ref" href="scmpds_1.html#D14" target="_self" title="SCMPDS_1:def.14">Def14</a></i>;<br/>
<a NAME="E9:40"/>
<font color="Maroon" title="c6">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">k1</font>,<font color="Maroon" title="c5">k2</font></span><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="scmpds_1.html#E1:40"><i><font color="Green" title="E20">A1</font></i></a>, <a class="txt" href="scmpds_1.html#E8:40"><i><font color="Green" title="E24">A5</font></i></a>, <a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</a></i>;<br/>
<b>hence </b><a NAME="E10:40"/>
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K14" title="SCMPDS_1:func.14">P31address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">d1</font>
 <b>by </b><i><a class="txt" href="scmpds_1.html#E2:40"><i><font color="Green" title="E21">A2</font></i></a>, <a class="txt" href="scmpds_1.html#E4:40"><i><font color="Green" title="E22">A3</font></i></a>, <a class="txt" href="scmpds_1.html#E6:40"><i><font color="Green" title="E23">A4</font></i></a>, <a class="txt" href="scmpds_1.html#E8:40"><i><font color="Green" title="E24">A5</font></i></a>, <a class="ref" href="finseq_4.html#T27" title="FINSEQ_4:th.27">FINSEQ_4:27</a></i>;<br/>

<b>consider </b><font color="Maroon" title="c7">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <a href="ami_2.html#K5" title="AMI_2:func.5">SCM-Data-Loc</a>  <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> <b> such that </b><br/><a NAME="E12:40"/><i><font color="Green" title="E25">A6</font></i>: 
( <font color="Maroon" title="c7">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">x</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a>  &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K15" title="SCMPDS_1:func.15">P32const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">f</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 2 )
 <b>by </b><i><a class="txt" href="scmpds_1.html#E1:40"><i><font color="Green" title="E20">A1</font></i></a>, <a class="ref" href="scmpds_1.html#D15" target="_self" title="SCMPDS_1:def.15">Def15</a></i>;<br/>
<a NAME="E13:40"/>
<font color="Maroon" title="c7">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">k1</font>,<font color="Maroon" title="c5">k2</font></span><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="scmpds_1.html#E1:40"><i><font color="Green" title="E20">A1</font></i></a>, <a class="txt" href="scmpds_1.html#E12:40"><i><font color="Green" title="E25">A6</font></i></a>, <a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</a></i>;<br/>
<b>hence </b><a NAME="E14:40"/>
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K15" title="SCMPDS_1:func.15">P32const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">k1</font>
 <b>by </b><i><a class="txt" href="scmpds_1.html#E2:40"><i><font color="Green" title="E21">A2</font></i></a>, <a class="txt" href="scmpds_1.html#E4:40"><i><font color="Green" title="E22">A3</font></i></a>, <a class="txt" href="scmpds_1.html#E6:40"><i><font color="Green" title="E23">A4</font></i></a>, <a class="txt" href="scmpds_1.html#E12:40"><i><font color="Green" title="E25">A6</font></i></a>, <a class="ref" href="finseq_4.html#T27" title="FINSEQ_4:th.27">FINSEQ_4:27</a></i>;<br/>

<b>consider </b><font color="Maroon" title="c8">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <a href="ami_2.html#K5" title="AMI_2:func.5">SCM-Data-Loc</a>  <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> <b> such that </b><br/><a NAME="E16:40"/><i><font color="Green" title="E26">A7</font></i>: 
( <font color="Maroon" title="c8">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">x</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a>  &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K16" title="SCMPDS_1:func.16">P33const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">f</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 3 )
 <b>by </b><i><a class="txt" href="scmpds_1.html#E1:40"><i><font color="Green" title="E20">A1</font></i></a>, <a class="ref" href="scmpds_1.html#D16" target="_self" title="SCMPDS_1:def.16">Def16</a></i>;<br/>
<a NAME="E17:40"/>
<font color="Maroon" title="c8">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">k1</font>,<font color="Maroon" title="c5">k2</font></span><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="scmpds_1.html#E1:40"><i><font color="Green" title="E20">A1</font></i></a>, <a class="txt" href="scmpds_1.html#E16:40"><i><font color="Green" title="E26">A7</font></i></a>, <a class="ref" href="mcart_1.html#T7" title="MCART_1:th.7">MCART_1:7</a></i>;<br/>
<b>hence </b><a NAME="E18:40"/>
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K16" title="SCMPDS_1:func.16">P33const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">k2</font>
 <b>by </b><i><a class="txt" href="scmpds_1.html#E2:40"><i><font color="Green" title="E21">A2</font></i></a>, <a class="txt" href="scmpds_1.html#E4:40"><i><font color="Green" title="E22">A3</font></i></a>, <a class="txt" href="scmpds_1.html#E6:40"><i><font color="Green" title="E23">A4</font></i></a>, <a class="txt" href="scmpds_1.html#E16:40"><i><font color="Green" title="E26">A7</font></i></a>, <a class="ref" href="finseq_4.html#T27" title="FINSEQ_4:th.27">FINSEQ_4:27</a></i>;<br/>


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