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<a NAME="E1:33_1_1"/>
the <a href="graph_1.html#U1" target="_self">Vertices</a> of <font color="Maroon">G</font> is  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> 
 
<b>by </b><i/>;<br/>
<b>then reconsider </b><font color="Maroon">S</font> =  <a href="graph_1.html#G1" target="_self">MultiGraphStruct</a>(# the <a href="graph_1.html#U1" target="_self">Vertices</a> of <font color="Maroon">G</font>,the <a href="graph_1.html#U2" target="_self">Edges</a> of <font color="Maroon">G</font>,the <a href="graph_1.html#U3" target="_self">Source</a> of <font color="Maroon">G</font>,the <a href="graph_1.html#U4" target="_self">Target</a> of <font color="Maroon">G</font> #) as   <a href="graph_1.html#NM1">Graph</a> <b>by </b><i/>;<br/>
<a NAME="E3:33_1_1"/>
for <font color="Olive">v</font> being   <a href="hidden.html#M1">set</a>   st <font color="Olive">v</font> <a href="hidden.html#R2">in</a> the <a href="graph_1.html#U2" target="_self">Edges</a> of <font color="Maroon">S</font> holds <br/>( the <a href="graph_1.html#U3" target="_self">Source</a> of <font color="Maroon">S</font> <a href="funct_1.html#K1">.</a> <font color="Olive">v</font> <a href="hidden.html#R1">=</a> the <a href="graph_1.html#U3" target="_self">Source</a> of <font color="Maroon">G</font> <a href="funct_1.html#K1">.</a> <font color="Olive">v</font> &amp; the <a href="graph_1.html#U4" target="_self">Target</a> of <font color="Maroon">S</font> <a href="funct_1.html#K1">.</a> <font color="Olive">v</font> <a href="hidden.html#R1">=</a> the <a href="graph_1.html#U4" target="_self">Target</a> of <font color="Maroon">G</font> <a href="funct_1.html#K1">.</a> <font color="Olive">v</font> &amp; the <a href="graph_1.html#U3" target="_self">Source</a> of <font color="Maroon">G</font> <a href="funct_1.html#K1">.</a> <font color="Olive">v</font> <a href="hidden.html#R2">in</a> the <a href="graph_1.html#U1" target="_self">Vertices</a> of <font color="Maroon">S</font> &amp; the <a href="graph_1.html#U4" target="_self">Target</a> of <font color="Maroon">G</font> <a href="funct_1.html#K1">.</a> <font color="Olive">v</font> <a href="hidden.html#R2">in</a> the <a href="graph_1.html#U1" target="_self">Vertices</a> of <font color="Maroon">S</font> )
 
<b>by </b><i/>;<br/>
<a NAME="E4:33_1_1"/><b>then </b>
<font color="Maroon">S</font> is    <a href="graph_1.html#M3" target="_self">Subgraph</a> of <font color="Maroon">G</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E5:33_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="graph_1.html#M3" target="_self">Subgraph</a> of <font color="Maroon">G</font> st <font color="Olive">b<sub>1</sub></font> is <a href="graph_1.html#V1" target="_self">strict</a>
 ;<br/>


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