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<b>set </b><font color="Maroon">G2</font> = <font color="Maroon">G</font> <a href="glib_000.html#K14" target="_self">.strict</a> <a href="glib_000.html#K5" target="_self">_GraphSelectors</a> ;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="15_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:15_1_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="glib_000.html#K5" target="_self">_GraphSelectors</a> 
 ;<br/><a NAME="E2:15_1_1_1"/><b>then </b>
( <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="glib_000.html#K1" target="_self">VertexSelector</a>  or <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="glib_000.html#K2" target="_self">EdgeSelector</a>  or <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="glib_000.html#K3" target="_self">SourceSelector</a>  or <font color="Maroon">x</font> <a href="hidden.html#R1">=</a>  <a href="glib_000.html#K4" target="_self">TargetSelector</a>  )
 <b>by </b><i><a class="ref" href="enumset1.html#D2">ENUMSET1:def 2</a></i>;<br/><b>hence </b><a NAME="E3:15_1_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">G</font>
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<a NAME="E2:15_1_1"/><b>then </b><i><font color="Green">E28</font></i>: 
 <a href="glib_000.html#K5" target="_self">_GraphSelectors</a>  <a href="tarski.html#R1">c=</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">G</font>
 
<b>by </b><i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a></i>;<br/>
<i><font color="Green">E29</font></i>:  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="glib_000.html#K14" target="_self">.strict</a> <a href="glib_000.html#K5" target="_self">_GraphSelectors</a> </span>)</span> = 
<span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <font color="Maroon">G</font></span>)</span> <a href="subset_1.html#K9">/\</a> <a href="glib_000.html#K5" target="_self">_GraphSelectors</a> 
<b>by </b><i><a class="ref" href="relat_1.html#T90">RELAT_1:90</a></i>
<br/>.= 
 <a href="glib_000.html#K5" target="_self">_GraphSelectors</a> 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T28">XBOOLE_1:28</a></i>
;<br/>
<a NAME="E4:15_1_1"/><i><font color="Green">E30</font></i>: 
(  <a href="glib_000.html#K1" target="_self">VertexSelector</a>  <a href="hidden.html#R2">in</a>  <a href="glib_000.html#K5" target="_self">_GraphSelectors</a>  &amp;  <a href="glib_000.html#K2" target="_self">EdgeSelector</a>  <a href="hidden.html#R2">in</a>  <a href="glib_000.html#K5" target="_self">_GraphSelectors</a>  &amp;  <a href="glib_000.html#K3" target="_self">SourceSelector</a>  <a href="hidden.html#R2">in</a>  <a href="glib_000.html#K5" target="_self">_GraphSelectors</a>  &amp;  <a href="glib_000.html#K4" target="_self">TargetSelector</a>  <a href="hidden.html#R2">in</a>  <a href="glib_000.html#K5" target="_self">_GraphSelectors</a>  )
 
<b>by </b><i><a class="ref" href="enumset1.html#D2">ENUMSET1:def 2</a></i>;<br/>
<a NAME="E5:15_1_1"/><i><font color="Green">E41</font></i>: 
 <a href="glib_000.html#K6" target="_self">the_Vertices_of</a> <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="glib_000.html#K14" target="_self">.strict</a> <a href="glib_000.html#K5" target="_self">_GraphSelectors</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="glib_000.html#K6" target="_self">the_Vertices_of</a> <font color="Maroon">G</font>
 
<b>by </b><i>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>;<br/>
<a NAME="E6:15_1_1"/><i><font color="Green">E42</font></i>: 
 <a href="glib_000.html#K7" target="_self">the_Edges_of</a> <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="glib_000.html#K14" target="_self">.strict</a> <a href="glib_000.html#K5" target="_self">_GraphSelectors</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="glib_000.html#K7" target="_self">the_Edges_of</a> <font color="Maroon">G</font>
 
<b>by </b><i>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>;<br/>
<a NAME="E7:15_1_1"/><i><font color="Green">E43</font></i>: 
 <a href="glib_000.html#K8" target="_self">the_Source_of</a> <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="glib_000.html#K14" target="_self">.strict</a> <a href="glib_000.html#K5" target="_self">_GraphSelectors</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="glib_000.html#K10" target="_self">the_Source_of</a> <font color="Maroon">G</font>
 
<b>by </b><i>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>;<br/>
<a NAME="E8:15_1_1"/>
 <a href="glib_000.html#K9" target="_self">the_Target_of</a> <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="glib_000.html#K14" target="_self">.strict</a> <a href="glib_000.html#K5" target="_self">_GraphSelectors</a> </span>)</span> <a href="hidden.html#R1">=</a>  <a href="glib_000.html#K11" target="_self">the_Target_of</a> <font color="Maroon">G</font>
 
<b>by </b><i>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>;<br/>
<b>hence </b><a NAME="E9:15_1_1"/>
<font color="Maroon">G</font> <a href="glib_000.html#K14" target="_self">.strict</a> <a href="glib_000.html#K5" target="_self">_GraphSelectors</a>  is <a href="glib_000.html#V1" target="_self">[Graph-like]</a>
 <b>by </b><i>, , , , </i>;<br/>


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