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<b>let </b><font color="Maroon">G1</font> be   <a href="glib_003.html#NM1">WGraph</a>, <font color="Maroon">G2</font> be   <a href="glib_003.html#NM1">WGraph</a>;<br/><b>let </b><font color="Maroon">G3</font> be   <a href="glib_003.html#NM8">WSubgraph</a> of <font color="Maroon">G1</font>;<br/>



<b>assume </b><a NAME="E1:158"/><i><font color="Green">E30</font></i>: 
( <font color="Maroon">G1</font> <a href="glib_000.html#R5">==</a> <font color="Maroon">G2</font> &amp;  <a href="glib_003.html#K5" target="_self">the_Weight_of</a> <font color="Maroon">G1</font> <a href="hidden.html#R1">=</a>  <a href="glib_003.html#K5" target="_self">the_Weight_of</a> <font color="Maroon">G2</font> )
 ;<br/>

<b>then reconsider </b><font color="Maroon">G3'</font> = <font color="Maroon">G3</font> as  <a href="glib_003.html#V1" target="_self">[Weighted]</a>  <a href="glib_000.html#M2">Subgraph</a> of <font color="Maroon">G2</font> <b>by </b><i><a class="ref" href="glib_000.html#T94">GLIB_000:94</a></i>;<br/>
<a NAME="E3:158"/>
 <a href="glib_003.html#K5" target="_self">the_Weight_of</a> <font color="Maroon">G3</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="glib_003.html#K5" target="_self">the_Weight_of</a> <font color="Maroon">G2</font></span>)</span> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="glib_000.html#K26">the_Edges_of</a> <font color="Maroon">G3</font></span>)</span>
 
<b>by </b><i>, </i>;<br/>
<a NAME="E4:158"/><b>then </b>
<font color="Maroon">G3'</font> is   <a href="glib_003.html#NM8">WSubgraph</a> of <font color="Maroon">G2</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E5:158"/>
<font color="Maroon">G3</font> is   <a href="glib_003.html#NM8">WSubgraph</a> of <font color="Maroon">G2</font>
 ;<br/>


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