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

<span class="kw">set </span><font color="Maroon" title="c5">G</font> = <span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">E</font>,<font color="Maroon" title="c3">S</font>,<font color="Maroon" title="c4">T</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span>;<br/>
<a NAME="E1:11_1_1"/>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">E</font>,<font color="Maroon" title="c3">S</font>,<font color="Maroon" title="c4">T</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 4
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_4.html#T76" onmouseover="rs('finseq_4/T76')" onmouseout="rh()">FINSEQ_4:76</a></span>;<br/>
<a NAME="E2:11_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E2">A1</font></span>: 
 <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">E</font>,<font color="Maroon" title="c3">S</font>,<font color="Maroon" title="c4">T</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> 4
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_1.html#D3" onmouseover="rs('finseq_1/D3')" onmouseout="rh()">FINSEQ_1:def 3</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c6">G</font> = <span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">E</font>,<font color="Maroon" title="c3">S</font>,<font color="Maroon" title="c4">T</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span> as   <a href="glib_000.html#NM1" title="GLIB_000:NM.1">GraphStruct</a> ;<br/>
<a NAME="E4:11_1_1"/><span class="lab"><font color="Green" title="E3">A2</font></span>: 
(  <a href="glib_000.html#K3" title="GLIB_000:func.3">SourceSelector</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Maroon" title="c6">G</font> &amp;  <a href="glib_000.html#K4" title="GLIB_000:func.4">TargetSelector</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Maroon" title="c6">G</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:11_1_1"><span class="lab"><font color="Green" title="E2">A1</font></span></a>, <a class="ref" href="finseq_1.html#T1" onmouseover="rs('finseq_1/T1')" onmouseout="rh()">FINSEQ_1:1</a></span>;<br/>
<a NAME="E5:11_1_1"/><span class="lab"><font color="Green" title="E4">A3</font></span>: 
(  <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Maroon" title="c6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">V</font> &amp;  <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <font color="Maroon" title="c6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">E</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_4.html#T76" onmouseover="rs('finseq_4/T76')" onmouseout="rh()">FINSEQ_4:76</a></span>;<br/>
<a NAME="E6:11_1_1"/><span class="lab"><font color="Green" title="E5">A4</font></span>: 
(  <a href="glib_000.html#K8" title="GLIB_000:func.8">the_Source_of</a> <font color="Maroon" title="c6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">S</font> &amp;  <a href="glib_000.html#K9" title="GLIB_000:func.9">the_Target_of</a> <font color="Maroon" title="c6">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">T</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="finseq_4.html#T76" onmouseover="rs('finseq_4/T76')" onmouseout="rh()">FINSEQ_4:76</a></span>;<br/>
<a NAME="E7:11_1_1"/>
(  <a href="glib_000.html#K1" title="GLIB_000:func.1">VertexSelector</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Maroon" title="c6">G</font> &amp;  <a href="glib_000.html#K2" title="GLIB_000:func.2">EdgeSelector</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <font color="Maroon" title="c6">G</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:11_1_1"><span class="lab"><font color="Green" title="E2">A1</font></span></a>, <a class="ref" href="finseq_1.html#T1" onmouseover="rs('finseq_1/T1')" onmouseout="rh()">FINSEQ_1:1</a></span>;<br/>
<span class="kw">hence </span><a NAME="E8:11_1_1"/>
<span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c1">V</font>,<font color="Maroon" title="c2">E</font>,<font color="Maroon" title="c3">S</font>,<font color="Maroon" title="c4">T</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span> is   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:11_1_1"><span class="lab"><font color="Green" title="E4">A3</font></span></a>, <a class="txt" href="#E6:11_1_1"><span class="lab"><font color="Green" title="E5">A4</font></span></a>, <a class="txt" href="#E4:11_1_1"><span class="lab"><font color="Green" title="E3">A2</font></span></a>, <a class="ref" href="glib_000.html#D10" target="_self" onmouseover="rs('glib_000/D10')" onmouseout="rh()">Def10</a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
