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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; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">x</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="scmpds_1.html#K1" title="SCMPDS_1:func.1">SCMPDS-Instr</a> <br/> for <font color="Olive" title="b2">d1</font>, <font color="Olive" title="b3">d2</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <br/> for <font color="Olive" title="b4">k1</font>, <font color="Olive" title="b5">k2</font> being  <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st <font color="Olive" title="b1">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_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Olive" title="b2">d1</font>,<font color="Olive" title="b3">d2</font>,<font color="Olive" title="b4">k1</font>,<font color="Olive" title="b5">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> holds <br/>( <font color="Olive" title="b1">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">d1</font> &amp; <font color="Olive" title="b1">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">d2</font> &amp; <font color="Olive" title="b1">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">k1</font> &amp; <font color="Olive" title="b1">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">k2</font> )</span><br/><b>let </b><font color="Maroon" title="c2">x</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="scmpds_1.html#K1" title="SCMPDS_1:func.1">SCMPDS-Instr</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">d1</font>, <font color="Olive" title="b2">d2</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <br/> for <font color="Olive" title="b3">k1</font>, <font color="Olive" title="b4">k2</font> being  <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st <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_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Olive" title="b1">d1</font>,<font color="Olive" title="b2">d2</font>,<font color="Olive" title="b3">k1</font>,<font color="Olive" title="b4">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> holds <br/>( <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">d1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">d2</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">k1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">k2</font> )</span><br/><b>let </b><font color="Maroon" title="c3">d1</font>, <font color="Maroon" title="c4">d2</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">k1</font>, <font color="Olive" title="b2">k2</font> being  <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st <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_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Olive" title="b1">k1</font>,<font color="Olive" title="b2">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> holds <br/>( <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">d1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">d2</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">k1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">k2</font> )</span><br/><b>let </b><font color="Maroon" title="c5">k1</font>, <font color="Maroon" title="c6">k2</font> be   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <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_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Maroon" title="c5">k1</font>,<font color="Maroon" title="c6">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> implies ( <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">d1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">d2</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">k1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">k2</font> ) )</span><br/>







<b>assume </b><a NAME="E1:42"/><i><font color="Green" title="E24">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_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Maroon" title="c5">k1</font>,<font color="Maroon" title="c6">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">d1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">d2</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">k1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">k2</font> )</span><br/>

<a NAME="E2:42"/><i><font color="Green" title="E25">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#K4" title="AMI_2:func.4">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>  &amp; <font color="Maroon" title="c4">d2</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">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#D3" title="XBOOLE_0:def.3">XBOOLE_0:def 3</a></i>;<br/>
<a NAME="E3:42"/>
<font color="Maroon" title="c5">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="E4:42"/><b>then </b><i><font color="Green" title="E26">A3</font></i>: 
<font color="Maroon" title="c5">k1</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">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#D3" title="XBOOLE_0:def.3">XBOOLE_0:def 3</a></i>;<br/>
<a NAME="E5:42"/>
<font color="Maroon" title="c6">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="E6:42"/><b>then </b><i><font color="Green" title="E27">A4</font></i>: 
<font color="Maroon" title="c6">k2</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">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#D3" title="XBOOLE_0:def.3">XBOOLE_0:def 3</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#K4" title="AMI_2:func.4">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="E8:42"/><i><font color="Green" title="E28">A5</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#K17" title="SCMPDS_1:func.17">P41address</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> 1 )
 <b>by </b><i><a class="txt" href="#E1:42"><i><font color="Green" title="E24">A1</font></i></a>, <a class="ref" href="scmpds_1.html#D17" target="_self" title="SCMPDS_1:def.17">Def17</a></i>;<br/>
<a NAME="E9:42"/>
<font color="Maroon" title="c7">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Maroon" title="c5">k1</font>,<font color="Maroon" title="c6">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="#E1:42"><i><font color="Green" title="E24">A1</font></i></a>, <a class="txt" href="#E8:42"><i><font color="Green" title="E28">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="E10:42"/>
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</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="#E2:42"><i><font color="Green" title="E25">A2</font></i></a>, <a class="txt" href="#E4:42"><i><font color="Green" title="E26">A3</font></i></a>, <a class="txt" href="#E6:42"><i><font color="Green" title="E27">A4</font></i></a>, <a class="txt" href="#E8:42"><i><font color="Green" title="E28">A5</font></i></a>, <a class="ref" href="finseq_4.html#T95" title="FINSEQ_4:th.95">FINSEQ_4:95</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">d2</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">k1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">k2</font> )</span><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#K4" title="AMI_2:func.4">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="E12:42"/><i><font color="Green" title="E29">A6</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#K18" title="SCMPDS_1:func.18">P42address</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> 2 )
 <b>by </b><i><a class="txt" href="#E1:42"><i><font color="Green" title="E24">A1</font></i></a>, <a class="ref" href="scmpds_1.html#D18" target="_self" title="SCMPDS_1:def.18">Def18</a></i>;<br/>
<a NAME="E13:42"/>
<font color="Maroon" title="c8">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Maroon" title="c5">k1</font>,<font color="Maroon" title="c6">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="#E1:42"><i><font color="Green" title="E24">A1</font></i></a>, <a class="txt" href="#E12:42"><i><font color="Green" title="E29">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="E14:42"/>
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">d2</font>
 <b>by </b><i><a class="txt" href="#E2:42"><i><font color="Green" title="E25">A2</font></i></a>, <a class="txt" href="#E4:42"><i><font color="Green" title="E26">A3</font></i></a>, <a class="txt" href="#E6:42"><i><font color="Green" title="E27">A4</font></i></a>, <a class="txt" href="#E12:42"><i><font color="Green" title="E29">A6</font></i></a>, <a class="ref" href="finseq_4.html#T95" title="FINSEQ_4:th.95">FINSEQ_4:95</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">k1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">k2</font> )</span><br/>

<b>consider </b><font color="Maroon" title="c9">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">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="E16:42"/><i><font color="Green" title="E30">A7</font></i>: 
( <font color="Maroon" title="c9">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#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">f</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 3 )
 <b>by </b><i><a class="txt" href="#E1:42"><i><font color="Green" title="E24">A1</font></i></a>, <a class="ref" href="scmpds_1.html#D19" target="_self" title="SCMPDS_1:def.19">Def19</a></i>;<br/>
<a NAME="E17:42"/>
<font color="Maroon" title="c9">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Maroon" title="c5">k1</font>,<font color="Maroon" title="c6">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="#E1:42"><i><font color="Green" title="E24">A1</font></i></a>, <a class="txt" href="#E16:42"><i><font color="Green" title="E30">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="E18:42"/>
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">k1</font>
 <b>by </b><i><a class="txt" href="#E2:42"><i><font color="Green" title="E25">A2</font></i></a>, <a class="txt" href="#E4:42"><i><font color="Green" title="E26">A3</font></i></a>, <a class="txt" href="#E6:42"><i><font color="Green" title="E27">A4</font></i></a>, <a class="txt" href="#E16:42"><i><font color="Green" title="E30">A7</font></i></a>, <a class="ref" href="finseq_4.html#T95" title="FINSEQ_4:th.95">FINSEQ_4:95</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">k2</font></span><br/>

<b>consider </b><font color="Maroon" title="c10">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">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="E20:42"/><i><font color="Green" title="E31">A8</font></i>: 
( <font color="Maroon" title="c10">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#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">f</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 4 )
 <b>by </b><i><a class="txt" href="#E1:42"><i><font color="Green" title="E24">A1</font></i></a>, <a class="ref" href="scmpds_1.html#D20" target="_self" title="SCMPDS_1:def.20">Def20</a></i>;<br/>
<a NAME="E21:42"/>
<font color="Maroon" title="c10">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Maroon" title="c5">k1</font>,<font color="Maroon" title="c6">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="#E1:42"><i><font color="Green" title="E24">A1</font></i></a>, <a class="txt" href="#E20:42"><i><font color="Green" title="E31">A8</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="E22:42"/>
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">k2</font>
 <b>by </b><i><a class="txt" href="#E2:42"><i><font color="Green" title="E25">A2</font></i></a>, <a class="txt" href="#E4:42"><i><font color="Green" title="E26">A3</font></i></a>, <a class="txt" href="#E6:42"><i><font color="Green" title="E27">A4</font></i></a>, <a class="txt" href="#E20:42"><i><font color="Green" title="E31">A8</font></i></a>, <a class="ref" href="finseq_4.html#T95" title="FINSEQ_4:th.95">FINSEQ_4:95</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
