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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="gr_cy_1.html#K1" title="GR_CY_1:func.1">Segm</a> 8;<br/><b>let </b><font color="Maroon" title="c2">S</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a>  <a href="struct_0.html#L1" title="STRUCT_0:struct.1">1-sorted</a> ;<br/><b>let </b><font color="Maroon" title="c3">x</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="scmring1.html#K1" title="SCMRING1:func.1">SCM-Instr</a> <font color="Maroon" title="c2">S</font>;<br/><b>let </b><font color="Maroon" title="c4">mk</font>, <font color="Maroon" title="c5">ml</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> ;<br/>







<b>assume </b><a NAME="E1:37"/><i><font color="Green" title="E15">A1</font></i>: 
<font color="Maroon" title="c3">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#K2" title="FINSEQ_4:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c4">mk</font>,<font color="Maroon" title="c5">ml</font></span><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">*&gt;</a></span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>
 ;<br/>

<b>then 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#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <b> such that </b><br/><a NAME="E3:37"/><i><font color="Green" title="E16">A2</font></i>: 
( <font color="Maroon" title="c6">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">x</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a>  &amp; <font color="Maroon" title="c3">x</font> <a href="scmring1.html#K7" title="SCMRING1:func.7">address_1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">f</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> 1 )
 <b>by </b><i><a class="ref" href="scmring1.html#D7" target="_self" title="SCMRING1:def.7">Def7</a></i>;<br/>
<a NAME="E4:37"/>
<font color="Maroon" title="c6">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c4">mk</font>,<font color="Maroon" title="c5">ml</font></span><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="scmring1.html#E1:37"><i><font color="Green" title="E15">A1</font></i></a>, <a class="txt" href="scmring1.html#E3:37"><i><font color="Green" title="E16">A2</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="E5:37"/>
<font color="Maroon" title="c3">x</font> <a href="scmring1.html#K7" title="SCMRING1:func.7">address_1</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">mk</font>
 <b>by </b><i><a class="txt" href="scmring1.html#E3:37"><i><font color="Green" title="E16">A2</font></i></a>, <a class="ref" href="finseq_4.html#T26" title="FINSEQ_4:th.26">FINSEQ_4:26</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> <b> such that </b><br/><a NAME="E7:37"/><i><font color="Green" title="E17">A3</font></i>: 
( <font color="Maroon" title="c7">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">x</font> <a href="mcart_1.html#K2" title="MCART_1:func.2">`2</a>  &amp; <font color="Maroon" title="c3">x</font> <a href="scmring1.html#K8" title="SCMRING1:func.8">address_2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">f</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> 2 )
 <b>by </b><i><a class="txt" href="scmring1.html#E1:37"><i><font color="Green" title="E15">A1</font></i></a>, <a class="ref" href="scmring1.html#D8" target="_self" title="SCMRING1:def.8">Def8</a></i>;<br/>
<a NAME="E8:37"/>
<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#K2" title="FINSEQ_4:func.2">&lt;*</a><span class="default"><font color="Maroon" title="c4">mk</font>,<font color="Maroon" title="c5">ml</font></span><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="scmring1.html#E1:37"><i><font color="Green" title="E15">A1</font></i></a>, <a class="txt" href="scmring1.html#E7:37"><i><font color="Green" title="E17">A3</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="E9:37"/>
<font color="Maroon" title="c3">x</font> <a href="scmring1.html#K8" title="SCMRING1:func.8">address_2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">ml</font>
 <b>by </b><i><a class="txt" href="scmring1.html#E7:37"><i><font color="Green" title="E17">A3</font></i></a>, <a class="ref" href="finseq_4.html#T26" title="FINSEQ_4:th.26">FINSEQ_4:26</a></i>;<br/>


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