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<b>set </b><font color="Maroon" title="c2">G2</font> = <font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> ;<br/>
<a NAME="E1:46_1_1"/><i><font color="Green" title="E30">A1</font></i>: 
 <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c1">G</font>
 
<b>by </b><i><a class="txt" href="glib_004.html#E36"><i><font color="Green" title="E29">Lm1</font></i></a></i>;<br/>
<i><font color="Green" title="E31">A2</font></i>:  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> </span>)</span> = 
<span class="p1">(<span class="default"><a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <font color="Maroon" title="c1">G</font></span>)</span> <a href="subset_1.html#K9" title="SUBSET_1:func.9">/\</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> 
<b>by </b><i><a class="ref" href="relat_1.html#T90" title="RELAT_1:th.90">RELAT_1:90</a></i>
<br/>.= 
 <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> 
<b>by </b><i><a class="txt" href="glib_004.html#E1:46_1_1"><i><font color="Green" title="E30">A1</font></i></a>, <a class="ref" href="xboole_1.html#T28" title="XBOOLE_1:th.28">XBOOLE_1:28</a></i>
;<br/>
<a NAME="E3:46_1_1"/><i><font color="Green" title="E32">A3</font></i>: 
(  <a href="glib_000.html#K1" title="GLIB_000:func.1">VertexSelector</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a>  &amp;  <a href="glib_000.html#K2" title="GLIB_000:func.2">EdgeSelector</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a>  &amp;  <a href="glib_000.html#K3" title="GLIB_000:func.3">SourceSelector</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a>  &amp;  <a href="glib_000.html#K4" title="GLIB_000:func.4">TargetSelector</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a>  &amp;  <a href="glib_003.html#K2" title="GLIB_003:func.2">WeightSelector</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a>  )
 
<b>by </b><i><a class="ref" href="enumset1.html#D3" title="ENUMSET1:def.3">ENUMSET1:def 3</a></i>;<br/>
<a NAME="E4:46_1_1"/><b>then </b><i><font color="Green" title="E33">A4</font></i>: 
 <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> </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="c1">G</font>
 
<b>by </b><i><a class="ref" href="funct_1.html#T72" title="FUNCT_1:th.72">FUNCT_1:72</a></i>;<br/>
<a NAME="E5:46_1_1"/><i><font color="Green" title="E34">A5</font></i>: 
 <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <font color="Maroon" title="c1">G</font>
 
<b>by </b><i><a class="txt" href="glib_004.html#E3:46_1_1"><i><font color="Green" title="E32">A3</font></i></a>, <a class="ref" href="funct_1.html#T72" title="FUNCT_1:th.72">FUNCT_1:72</a></i>;<br/>
<a NAME="E6:46_1_1"/><i><font color="Green" title="E35">A6</font></i>: 
 <a href="glib_000.html#K8" title="GLIB_000:func.8">the_Source_of</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K10" title="GLIB_000:func.10">the_Source_of</a> <font color="Maroon" title="c1">G</font>
 
<b>by </b><i><a class="txt" href="glib_004.html#E3:46_1_1"><i><font color="Green" title="E32">A3</font></i></a>, <a class="ref" href="funct_1.html#T72" title="FUNCT_1:th.72">FUNCT_1:72</a></i>;<br/>
<a NAME="E7:46_1_1"/><i><font color="Green" title="E36">A7</font></i>: 
 <a href="glib_000.html#K9" title="GLIB_000:func.9">the_Target_of</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K11" title="GLIB_000:func.11">the_Target_of</a> <font color="Maroon" title="c1">G</font>
 
<b>by </b><i><a class="txt" href="glib_004.html#E3:46_1_1"><i><font color="Green" title="E32">A3</font></i></a>, <a class="ref" href="funct_1.html#T72" title="FUNCT_1:th.72">FUNCT_1:72</a></i>;<br/>
<a NAME="E8:46_1_1"/>
for <font color="Olive" title="b1">x</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a>   st <font color="Olive" title="b1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="glib_000.html#K5" title="GLIB_000:func.5">_GraphSelectors</a>  holds <br/><font color="Olive" title="b1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="enumset1.html#D2" title="ENUMSET1:def.2">ENUMSET1:def 2</a>, <a class="txt" href="glib_004.html#E2:46_1_1"><i><font color="Green" title="E31">A2</font></i></a>, <a class="txt" href="glib_004.html#E3:46_1_1"><i><font color="Green" title="E32">A3</font></i></a></i>;<br/>
<a NAME="E9:46_1_1"/><b>then </b>
 <a href="glib_000.html#K5" title="GLIB_000:func.5">_GraphSelectors</a>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="tarski.html#D3" title="TARSKI:def.3">TARSKI:def 3</a></i>;<br/>
<b>hence </b><a NAME="E10:46_1_1"/>
<font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a>  is <a href="glib_000.html#V1" title="GLIB_000:attr.1">[Graph-like]</a>
 <b>by </b><i><a class="txt" href="glib_004.html#E4:46_1_1"><i><font color="Green" title="E33">A4</font></i></a>, <a class="txt" href="glib_004.html#E5:46_1_1"><i><font color="Green" title="E34">A5</font></i></a>, <a class="txt" href="glib_004.html#E6:46_1_1"><i><font color="Green" title="E35">A6</font></i></a>, <a class="txt" href="glib_004.html#E7:46_1_1"><i><font color="Green" title="E36">A7</font></i></a>, <a class="ref" href="glib_000.html#T7" title="GLIB_000:th.7">GLIB_000:7</a></i>;<br/>

<a NAME="E11:46_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> </span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="glib_003.html#K2" title="GLIB_003:func.2">WeightSelector</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">G</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="glib_003.html#K2" title="GLIB_003:func.2">WeightSelector</a> 
 
<b>by </b><i><a class="txt" href="glib_004.html#E3:46_1_1"><i><font color="Green" title="E32">A3</font></i></a>, <a class="ref" href="funct_1.html#T72" title="FUNCT_1:th.72">FUNCT_1:72</a></i>;<br/>
<a NAME="E12:46_1_1"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> </span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="glib_003.html#K2" title="GLIB_003:func.2">WeightSelector</a>  is    <a href="pboole.html#M1" title="PBOOLE:mode.1">ManySortedSet</a> of  <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="glib_004.html#E5:46_1_1"><i><font color="Green" title="E34">A5</font></i></a>, <a class="ref" href="glib_003.html#D4" title="GLIB_003:def.4">GLIB_003:def 4</a></i>;<br/>
<b>hence </b><a NAME="E13:46_1_1"/>
<font color="Maroon" title="c1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.strict</a> <a href="glib_004.html#K8" title="GLIB_004:func.8">WGraphSelectors</a>  is <a href="glib_003.html#V1" title="GLIB_003:attr.1">[Weighted]</a>
 <b>by </b><i><a class="txt" href="glib_004.html#E2:46_1_1"><i><font color="Green" title="E31">A2</font></i></a>, <a class="txt" href="glib_004.html#E3:46_1_1"><i><font color="Green" title="E32">A3</font></i></a>, <a class="ref" href="glib_003.html#D4" title="GLIB_003:def.4">GLIB_003:def 4</a></i>;<br/>


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