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<b>let </b><font color="Maroon" title="c1">G</font> be  <a href="glib_000.html#V2" title="GLIB_000:attr.2">finite</a> <a href="chord.html#V6" title="CHORD:attr.6">chordal</a> <a href="lexbfs.html#NM3" title="LEXBFS:NM.3">VVGraph</a>;<br/>

<b>set </b><font color="Maroon" title="c2">Hh</font> = <span class="p1">(<span class="default"><a href="lexbfs.html#K18" title="LEXBFS:func.18">LexBFS:CSeq</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="lexbfs.html#K19" title="LEXBFS:func.19">.Result()</a> ;<br/>
<b>reconsider </b><font color="Maroon" title="c3">H</font> = <span class="p1">(<span class="default"><a href="lexbfs.html#K18" title="LEXBFS:func.18">LexBFS:CSeq</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="lexbfs.html#K19" title="LEXBFS:func.19">.Result()</a>  as  <a href="glib_000.html#V2" title="GLIB_000:attr.2">finite</a> <a href="chord.html#V6" title="CHORD:attr.6">chordal</a> <a href="lexbfs.html#V3" title="LEXBFS:attr.3">natural-vlabeled</a> <a href="lexbfs.html#NM3" title="LEXBFS:NM.3">VVGraph</a> <b>by </b><i><a class="ref" href="lexbfs.html#D18" target="_self" title="LEXBFS:def.18">Def18</a></i>;<br/>
<a NAME="E2:180"/><i><font color="Green" title="E99">A1</font></i>: 
<font color="Maroon" title="c3">H</font> <a href="glib_000.html#R5" title="GLIB_000:pred.5">==</a> <font color="Maroon" title="c1">G</font>
 
<b>by </b><i><a class="ref" href="lexbfs.html#T42" target="_self" title="LEXBFS:th.42">Th42</a></i>;<br/>
<a NAME="E3:180"/><i><font color="Green" title="E100">A2</font></i>: 
<font color="Maroon" title="c3">H</font> is <a href="lexbfs.html#V21" title="LEXBFS:attr.21">with_property_L3</a>
 
<b>by </b><i><a class="ref" href="lexbfs.html#T65" target="_self" title="LEXBFS:th.65">Th65</a></i>;<br/>
<a NAME="E4:180"/>
<font color="Maroon" title="c3">H</font> <a href="glib_003.html#K14" title="GLIB_003:func.14">.labeledV()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Maroon" title="c1">G</font>
 
<b>by </b><i><a class="ref" href="lexbfs.html#T61" target="_self" title="LEXBFS:th.61">Th61</a></i>;<br/>
<a NAME="E5:180"/><b>then </b><i><font color="Green" title="E101">A3</font></i>: 
 <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><a href="glib_003.html#K7" title="GLIB_003:func.7">the_VLabel_of</a> <font color="Maroon" title="c3">H</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Maroon" title="c3">H</font>
 
<b>by </b><i><a class="txt" href="lexbfs.html#E2:180"><i><font color="Green" title="E99">A1</font></i></a>, <a class="ref" href="glib_000.html#D36" title="GLIB_000:def.36">GLIB_000:def 36</a></i>;<br/>
<b>set </b><font color="Maroon" title="c4">V</font> = <span class="p1">(<span class="default"><a href="glib_003.html#K7" title="GLIB_003:func.7">the_VLabel_of</a> <font color="Maroon" title="c3">H</font></span>)</span> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a> ;<br/>
<a NAME="E6:180"/>
<span class="p1">(<span class="default"><a href="glib_003.html#K7" title="GLIB_003:func.7">the_VLabel_of</a> <font color="Maroon" title="c3">H</font></span>)</span> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a>  is    <a href="chord.html#M3" title="CHORD:mode.3">VertexScheme</a> of <font color="Maroon" title="c1">G</font>
 
<b>by </b><i><a class="ref" href="lexbfs.html#T62" target="_self" title="LEXBFS:th.62">Th62</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c5">Vh</font> = <span class="p1">(<span class="default"><a href="glib_003.html#K7" title="GLIB_003:func.7">the_VLabel_of</a> <font color="Maroon" title="c3">H</font></span>)</span> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a>  as    <a href="chord.html#M3" title="CHORD:mode.3">VertexScheme</a> of <font color="Maroon" title="c3">H</font> <b>by </b><i><a class="txt" href="lexbfs.html#E2:180"><i><font color="Green" title="E99">A1</font></i></a>, <a class="ref" href="chord.html#T106" title="CHORD:th.106">CHORD:106</a></i>;<br/>
<a NAME="E8:180"/>
 <a href="glib_003.html#K7" title="GLIB_003:func.7">the_VLabel_of</a> <font color="Maroon" title="c3">H</font> is <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>
 
<b>by </b><i><a class="ref" href="lexbfs.html#T25" target="_self" title="LEXBFS:th.25">Th25</a></i>;<br/>
<a NAME="E9:180"/><b>then </b><i><font color="Green" title="E102">A4</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="glib_003.html#K7" title="GLIB_003:func.7">the_VLabel_of</a> <font color="Maroon" title="c3">H</font></span>)</span> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a> </span>)</span> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_003.html#K7" title="GLIB_003:func.7">the_VLabel_of</a> <font color="Maroon" title="c3">H</font>
 
<b>by </b><i><a class="ref" href="funct_1.html#T65" title="FUNCT_1:th.65">FUNCT_1:65</a></i>;<br/>
<a NAME="E10:180"/>
<font color="Maroon" title="c5">Vh</font> is <a href="chord.html#V7" title="CHORD:attr.7">perfect</a>
 
<b>by </b><i><a class="ref" href="lexbfs.html#T66" target="_self" title="LEXBFS:th.66">Th66</a>, <a class="txt" href="lexbfs.html#E3:180"><i><font color="Green" title="E100">A2</font></i></a>, <a class="txt" href="lexbfs.html#E5:180"><i><font color="Green" title="E101">A3</font></i></a>, <a class="txt" href="lexbfs.html#E9:180"><i><font color="Green" title="E102">A4</font></i></a></i>;<br/>
<b>hence </b><a NAME="E11:180"/>
<span class="p1">(<span class="default"><a href="glib_003.html#K7" title="GLIB_003:func.7">the_VLabel_of</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="lexbfs.html#K18" title="LEXBFS:func.18">LexBFS:CSeq</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="lexbfs.html#K19" title="LEXBFS:func.19">.Result()</a> </span>)</span></span>)</span> <a href="funct_1.html#K2" title="FUNCT_1:func.2">"</a>  is  <a href="chord.html#V7" title="CHORD:attr.7">perfect</a>  <a href="chord.html#M3" title="CHORD:mode.3">VertexScheme</a> of <font color="Maroon" title="c1">G</font>
 <b>by </b><i><a class="txt" href="lexbfs.html#E2:180"><i><font color="Green" title="E99">A1</font></i></a>, <a class="ref" href="chord.html#T110" title="CHORD:th.110">CHORD:110</a></i>;<br/>


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