<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">f</font> be   <a href="struct_0.html#NM7" title="STRUCT_0:NM.7">FinSequence</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> 2</span>)</span>;<br/><b>let </b><font color="Maroon" title="c2">i</font>, <font color="Maroon" title="c3">n</font>, <font color="Maroon" title="c4">m</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ;<br/><b>let </b><font color="Maroon" title="c5">G</font> be   <a href="goboard1.html#NM1" title="GOBOARD1:NM.1">Go-board</a>;<br/>









<b>set </b><font color="Maroon" title="c6">D</font> =  <a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font>;<br/>
<b>assume </b><a NAME="E1:41"/><i><font color="Green" title="E30">A1</font></i>: 
(  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c1">f</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K9" title="MATRIX_1:func.9">Col</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span> &amp; <font color="Maroon" title="c1">f</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c4">m</font></span>)</span> &amp; <font color="Maroon" title="c3">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c1">f</font> &amp; <font color="Maroon" title="c2">i</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Maroon" title="c5">G</font></span>)</span> &amp; <font color="Maroon" title="c4">m</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c5">G</font> &amp;  <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Maroon" title="c5">G</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 1 )
 ;<br/>

<b>then consider </b><font color="Maroon" title="c7">j</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <b> such that </b><br/><a NAME="E3:41"/><i><font color="Green" title="E31">A2</font></i>: 
( <font color="Maroon" title="c7">j</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c4">m</font></span>)</span> &amp; <font color="Maroon" title="c1">f</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c4">m</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c7">j</font> )
 <b>by </b><i><a class="ref" href="finseq_2.html#T11" title="FINSEQ_2:th.11">FINSEQ_2:11</a></i>;<br/>
<a NAME="E4:41"/><i><font color="Green" title="E32">A3</font></i>: 
 <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c4">m</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p2">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c4">m</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="finseq_1.html#D3" title="FINSEQ_1:def.3">FINSEQ_1:def 3</a></i>;<br/>
<a NAME="E5:41"/>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c4">m</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Maroon" title="c5">G</font>
 
<b>by </b><i><a class="ref" href="matrix_1.html#D8" title="MATRIX_1:def.8">MATRIX_1:def 8</a></i>;<br/>
<a NAME="E6:41"/><b>then </b><i><font color="Green" title="E33">A4</font></i>: 
( <font color="Maroon" title="c1">f</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">G</font> <a href="matrix_1.html#K3" title="MATRIX_1:func.3">*</a> <font color="Maroon" title="c4">m</font>,<font color="Maroon" title="c7">j</font> &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c7">j</font> &amp; <font color="Maroon" title="c7">j</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Maroon" title="c5">G</font> &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c2">i</font> &amp; <font color="Maroon" title="c2">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Maroon" title="c5">G</font> &amp;  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <span class="p2">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span>,<font color="Maroon" title="c4">m</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <span class="p1">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span> &amp;  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <span class="p2">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span>,<font color="Maroon" title="c4">m</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <span class="p1">(<span class="default"><a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p2">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <span class="p3">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span>,<font color="Maroon" title="c4">m</font></span>)</span></span>)</span> )
 
<b>by </b><i><a class="txt" href="goboard1.html#E1:41"><i><font color="Green" title="E30">A1</font></i></a>, <a class="txt" href="goboard1.html#E3:41"><i><font color="Green" title="E31">A2</font></i></a>, <a class="txt" href="goboard1.html#E4:41"><i><font color="Green" title="E32">A3</font></i></a>, <a class="ref" href="finseq_1.html#D3" title="FINSEQ_1:def.3">FINSEQ_1:def 3</a>, <a class="ref" href="finseq_3.html#T27" title="FINSEQ_3:th.27">FINSEQ_3:27</a>, <a class="ref" href="matrix_1.html#D8" title="MATRIX_1:def.8">MATRIX_1:def 8</a></i>;<br/>
<a NAME="E7:41"/><b>then </b><i><font color="Green" title="E34">A5</font></i>: 
<font color="Maroon" title="c7">j</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c2">i</font>
 
<b>by </b><i><a class="txt" href="goboard1.html#E1:41"><i><font color="Green" title="E30">A1</font></i></a>, <a class="ref" href="goboard1.html#T24" target="_self" title="GOBOARD1:th.24">Th24</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c8">M</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <b> such that </b><br/><a NAME="E9:41"/><i><font color="Green" title="E35">A6</font></i>: 
(  <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Maroon" title="c5">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">M</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 &amp; <font color="Maroon" title="c8">M</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 0 )
 <b>by </b><i><a class="txt" href="goboard1.html#E1:41"><i><font color="Green" title="E30">A1</font></i></a>, <a class="ref" href="goboard1.html#T3" target="_self" title="GOBOARD1:th.3">Th3</a></i>;<br/>
<a NAME="E10:41"/><i><font color="Green" title="E36">A7</font></i>: 
 <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <span class="p1">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">M</font>
 
<b>by </b><i><a class="txt" href="goboard1.html#E1:41"><i><font color="Green" title="E30">A1</font></i></a>, <a class="txt" href="goboard1.html#E9:41"><i><font color="Green" title="E35">A6</font></i></a>, <a class="ref" href="goboard1.html#T26" target="_self" title="GOBOARD1:th.26">Th26</a></i>;<br/>
<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_1"><b>per </b></a><a class="txt" onclick="hs(this)" href="javascript:()"><b>cases </b></a><span class="hide"><a NAME="E1:41_1"/>
( <font color="Maroon" title="c7">j</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c2">i</font> or <font color="Maroon" title="c2">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c7">j</font> )
 </span><b>by </b><i><a class="txt" href="goboard1.html#E7:41"><i><font color="Green" title="E34">A5</font></i></a>, <a class="ref" href="real_1.html#D5" title="REAL_1:def.5">REAL_1:def 5</a></i>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_1_1"><b>suppose </b></a><a NAME="E1:41_1_1"/><i><font color="Green" title="E37">A8</font></i>: 
<font color="Maroon" title="c7">j</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c2">i</font>
 ;<br/><div class="add"><a NAME="E2:41_1_1"/><b>then </b><i><font color="Green" title="E38">A9</font></i>: 
<font color="Maroon" title="c1">f</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span> <a href="matrix_1.html#K3" title="MATRIX_1:func.3">*</a> <font color="Maroon" title="c4">m</font>,<font color="Maroon" title="c7">j</font>
 <b>by </b><i><a class="txt" href="goboard1.html#E1:41"><i><font color="Green" title="E30">A1</font></i></a>, <a class="txt" href="goboard1.html#E6:41"><i><font color="Green" title="E33">A4</font></i></a>, <a class="txt" href="goboard1.html#E9:41"><i><font color="Green" title="E35">A6</font></i></a>, <a class="ref" href="goboard1.html#T31" target="_self" title="GOBOARD1:th.31">Th31</a></i>;<br/><a NAME="E3:41_1_1"/>
<font color="Maroon" title="c7">j</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <font color="Maroon" title="c5">G</font>
 <b>by </b><i><a class="txt" href="goboard1.html#E6:41"><i><font color="Green" title="E33">A4</font></i></a>, <a class="txt" href="goboard1.html#E1:41_1_1"><i><font color="Green" title="E37">A8</font></i></a>, <a class="ref" href="xxreal_0.html#T2" title="XXREAL_0:th.2">XXREAL_0:2</a></i>;<br/><a NAME="E4:41_1_1"/><b>then </b>
<font color="Maroon" title="c7">j</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c8">M</font>
 <b>by </b><i><a class="txt" href="goboard1.html#E9:41"><i><font color="Green" title="E35">A6</font></i></a>, <a class="ref" href="nat_1.html#T13" title="NAT_1:th.13">NAT_1:13</a></i>;<br/><a NAME="E5:41_1_1"/><b>then </b>
<font color="Maroon" title="c7">j</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <span class="p2">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="goboard1.html#E6:41"><i><font color="Green" title="E33">A4</font></i></a>, <a class="txt" href="goboard1.html#E10:41"><i><font color="Green" title="E36">A7</font></i></a>, <a class="ref" href="finseq_1.html#T3" title="FINSEQ_1:th.3">FINSEQ_1:3</a></i>;<br/><a NAME="E6:41_1_1"/><b>then </b>
( <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <span class="p2">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span>,<font color="Maroon" title="c4">m</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c7">j</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">f</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> &amp; <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <span class="p2">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span>,<font color="Maroon" title="c4">m</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c7">j</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <span class="p2">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span>,<font color="Maroon" title="c4">m</font></span>)</span> )
 <b>by </b><i><a class="txt" href="goboard1.html#E6:41"><i><font color="Green" title="E33">A4</font></i></a>, <a class="txt" href="goboard1.html#E2:41_1_1"><i><font color="Green" title="E38">A9</font></i></a>, <a class="ref" href="funct_1.html#D5" title="FUNCT_1:def.5">FUNCT_1:def 5</a>, <a class="ref" href="matrix_1.html#D8" title="MATRIX_1:def.8">MATRIX_1:def 8</a></i>;<br/><b>hence </b><a NAME="E7:41_1_1"/>
<font color="Maroon" title="c1">f</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <span class="p2">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span>,<font color="Maroon" title="c4">m</font></span>)</span>
 ;<br/></div><b>end;</b></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="41_1_2"><b>suppose </b></a><a NAME="E1:41_1_2"/>
<font color="Maroon" title="c2">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c7">j</font>
 ;<br/><div class="add"><a NAME="E2:41_1_2"/><b>then </b><i><font color="Green" title="E37">A10</font></i>: 
( 1 <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c7">j</font> &amp; <font color="Maroon" title="c2">i</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c7">j</font> )
 <b>by </b><i><a class="txt" href="goboard1.html#E6:41"><i><font color="Green" title="E33">A4</font></i></a>, <a class="ref" href="xxreal_0.html#T2" title="XXREAL_0:th.2">XXREAL_0:2</a>, <a class="ref" href="nat_1.html#T13" title="NAT_1:th.13">NAT_1:13</a></i>;<br/><b>reconsider </b><font color="Maroon" title="c9">l</font> = <font color="Maroon" title="c7">j</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <b>by </b><i><a class="txt" href="goboard1.html#E6:41"><i><font color="Green" title="E33">A4</font></i></a>, <a class="ref" href="int_1.html#T18" title="INT_1:th.18">INT_1:18</a></i>;<br/><a NAME="E4:41_1_2"/><i><font color="Green" title="E38">A11</font></i>: 
( <font color="Maroon" title="c2">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c9">l</font> &amp; <font color="Maroon" title="c9">l</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c8">M</font> &amp; <font color="Maroon" title="c9">l</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">j</font> )
 <b>by </b><i><a class="txt" href="goboard1.html#E6:41"><i><font color="Green" title="E33">A4</font></i></a>, <a class="txt" href="goboard1.html#E9:41"><i><font color="Green" title="E35">A6</font></i></a>, <a class="txt" href="goboard1.html#E2:41_1_2"><i><font color="Green" title="E37">A10</font></i></a>, <a class="ref" href="xreal_1.html#T21" title="XREAL_1:th.21">XREAL_1:21</a>, <a class="ref" href="xreal_1.html#T22" title="XREAL_1:th.22">XREAL_1:22</a></i>;<br/><a NAME="E5:41_1_2"/><b>then </b><i><font color="Green" title="E39">A12</font></i>: 
( <font color="Maroon" title="c1">f</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span> <a href="matrix_1.html#K3" title="MATRIX_1:func.3">*</a> <font color="Maroon" title="c4">m</font>,<font color="Maroon" title="c9">l</font> &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c9">l</font> )
 <b>by </b><i><a class="txt" href="goboard1.html#E1:41"><i><font color="Green" title="E30">A1</font></i></a>, <a class="txt" href="goboard1.html#E6:41"><i><font color="Green" title="E33">A4</font></i></a>, <a class="txt" href="goboard1.html#E9:41"><i><font color="Green" title="E35">A6</font></i></a>, <a class="ref" href="goboard1.html#T32" target="_self" title="GOBOARD1:th.32">Th32</a>, <a class="ref" href="xxreal_0.html#T2" title="XXREAL_0:th.2">XXREAL_0:2</a></i>;<br/><a NAME="E6:41_1_2"/><b>then </b>
<font color="Maroon" title="c9">l</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K1" title="MATRIX_1:func.1">width</a> <span class="p2">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span></span>)</span>
 <b>by </b><i><a class="txt" href="goboard1.html#E10:41"><i><font color="Green" title="E36">A7</font></i></a>, <a class="txt" href="goboard1.html#E4:41_1_2"><i><font color="Green" title="E38">A11</font></i></a>, <a class="ref" href="finseq_1.html#T3" title="FINSEQ_1:th.3">FINSEQ_1:3</a></i>;<br/><a NAME="E7:41_1_2"/><b>then </b>
( <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <span class="p2">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span>,<font color="Maroon" title="c4">m</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c9">l</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">f</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> &amp; <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <span class="p2">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span>,<font color="Maroon" title="c4">m</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c9">l</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <span class="p2">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span>,<font color="Maroon" title="c4">m</font></span>)</span> )
 <b>by </b><i><a class="txt" href="goboard1.html#E6:41"><i><font color="Green" title="E33">A4</font></i></a>, <a class="txt" href="goboard1.html#E5:41_1_2"><i><font color="Green" title="E39">A12</font></i></a>, <a class="ref" href="funct_1.html#D5" title="FUNCT_1:def.5">FUNCT_1:def 5</a>, <a class="ref" href="matrix_1.html#D8" title="MATRIX_1:def.8">MATRIX_1:def 8</a></i>;<br/><b>hence </b><a NAME="E8:41_1_2"/>
<font color="Maroon" title="c1">f</font> <a href="finseq_4.html#K4" title="FINSEQ_4:func.4">/.</a> <font color="Maroon" title="c3">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="matrix_1.html#K8" title="MATRIX_1:func.8">Line</a> <span class="p2">(<span class="default"><a href="goboard1.html#K4" title="GOBOARD1:func.4">DelCol</a> <font color="Maroon" title="c5">G</font>,<font color="Maroon" title="c2">i</font></span>)</span>,<font color="Maroon" title="c4">m</font></span>)</span>
 ;<br/></div><b>end;</b></div></div><b>end;</b></div>

</div>
