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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="scmfsa_2.html#M2" target="_self">FinSeq-Location</a> ;<br/>

<a NAME="E1:13"/><i><font color="Green">E5</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="scmfsa_1.html#K2">SCM+FSA-Data*-Loc</a> 
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#D5" target="_self">Def5</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>2</sub></font> being   <a href="nat_1.html#NM1">Nat</a><b> such that </b><br/><a NAME="E3:13"/><i><font color="Green">E6</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> or <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="xcmplx_0.html#K4">-</a> <font color="Maroon">c<sub>2</sub></font> )
 <b>by </b><i><a class="ref" href="int_1.html#D1">INT_1:def 1</a></i>;<br/>
<a NAME="E4:13"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 
<b>by </b><i><a class="txt" href="scmfsa_2.html#E1:13"><i><font color="Green">E5</font></i></a>, <a class="txt" href="scmfsa_2.html#E3:13"><i><font color="Green">E6</font></i></a>, <a class="ref" href="scmfsa_1.html#D2">SCMFSA_1:def 2</a>, <a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<b>then consider </b><font color="Maroon">c<sub>3</sub></font> being   <a href="nat_1.html#NM1">Nat</a><b> such that </b><br/><a NAME="E6:13"/><i><font color="Green">E7</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="nat_1.html#K1">+</a> 1
 <b>by </b><i><a class="ref" href="nat_1.html#T22">NAT_1:22</a></i>;<br/>
<b>take </b>
<font color="Maroon">c<sub>3</sub></font>
;<br/>

<b>thus </b><a NAME="E7:13"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K6" target="_self">fsloc</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="scmfsa_2.html#E1:13"><i><font color="Green">E5</font></i></a>, <a class="txt" href="scmfsa_2.html#E3:13"><i><font color="Green">E6</font></i></a>, <a class="txt" href="scmfsa_2.html#E6:13"><i><font color="Green">E7</font></i></a>, <a class="ref" href="scmfsa_1.html#D2">SCMFSA_1:def 2</a>, <a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>


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