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<b>let </b><font color="Maroon">G</font> be   <a href="glib_003.html#NM3">VGraph</a>;<br/><b>let </b><font color="Maroon">e</font> be    <a href="hidden.html#M1">set</a> , <font color="Maroon">val</font> be    <a href="hidden.html#M1">set</a> ;<br/>



<b>set </b><font color="Maroon">G2</font> = <font color="Maroon">G</font> <a href="glib_003.html#K13" target="_self">.labelVertex</a> <font color="Maroon">e</font>,<font color="Maroon">val</font>;<br/>
<b>set </b><font color="Maroon">EG</font> =  <a href="glib_003.html#K7" target="_self">the_VLabel_of</a> <font color="Maroon">G</font>;<br/>
<b>set </b><font color="Maroon">EG2</font> =  <a href="glib_003.html#K7" target="_self">the_VLabel_of</a> <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="glib_003.html#K13" target="_self">.labelVertex</a> <font color="Maroon">e</font>,<font color="Maroon">val</font></span>)</span>;<br/>
<b>assume </b><a NAME="E1:194"/>
<font color="Maroon">e</font> <a href="hidden.html#R2">in</a>  <a href="glib_000.html#K6">the_Vertices_of</a> <font color="Maroon">G</font>
 ;<br/>

<a NAME="E2:194"/><b>then </b>
 <a href="glib_003.html#K7" target="_self">the_VLabel_of</a> <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="glib_003.html#K13" target="_self">.labelVertex</a> <font color="Maroon">e</font>,<font color="Maroon">val</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="glib_003.html#K7" target="_self">the_VLabel_of</a> <font color="Maroon">G</font></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><font color="Maroon">e</font> <a href="cqc_lang.html#K3">.--&gt;</a> <font color="Maroon">val</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E3:194"/><b>then </b>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="glib_003.html#K7" target="_self">the_VLabel_of</a> <span class="p2">(<span class="default"><font color="Maroon">G</font> <a href="glib_003.html#K13" target="_self">.labelVertex</a> <font color="Maroon">e</font>,<font color="Maroon">val</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><a href="glib_003.html#K7" target="_self">the_VLabel_of</a> <font color="Maroon">G</font></span>)</span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><a href="relat_1.html#K1">dom</a> <span class="p2">(<span class="default"><font color="Maroon">e</font> <a href="cqc_lang.html#K3">.--&gt;</a> <font color="Maroon">val</font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="funct_4.html#D1">FUNCT_4:def 1</a></i>;<br/>
<b>hence </b><a NAME="E4:194"/>
<span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="glib_003.html#K13" target="_self">.labelVertex</a> <font color="Maroon">e</font>,<font color="Maroon">val</font></span>)</span> <a href="glib_003.html#K14" target="_self">.labeledV()</a>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">G</font> <a href="glib_003.html#K14" target="_self">.labeledV()</a> </span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">e</font></span><a href="tarski.html#K1">}</a></span>
 <b>by </b><i><a class="ref" href="cqc_lang.html#T5">CQC_LANG:5</a></i>;<br/>


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