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<b>reconsider </b><font color="Maroon">c<sub>3</sub></font> =  <a href="xboole_0.html#K1">{}</a>  as   <a href="subset_1.html#NM2">Subset</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="glib_000.html#K22" target="_self">.edgesBetween</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <b>by </b><i><a class="ref" href="xboole_1.html#T2">XBOOLE_1:2</a></i>;<br/>
<b>let </b><font color="Maroon">c<sub>4</sub></font> be    <a href="glib_000.html#M3" target="_self">inducedSubgraph</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>, <a href="xboole_0.html#K1">{}</a> ;<br/>

<a NAME="E2:59_1_1"/>
<font color="Maroon">c<sub>4</sub></font> is    <a href="glib_000.html#M3" target="_self">inducedSubgraph</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>
 
;<br/>
<a NAME="E3:59_1_1"/><b>then </b>
(  <a href="glib_000.html#K25" target="_self">the_Vertices_of</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> &amp;  <a href="glib_000.html#K26" target="_self">the_Edges_of</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a>  )
 
<b>by </b><i><a class="ref" href="glib_000.html#D39" target="_self">Def39</a></i>;<br/>
<b>hence </b><a NAME="E4:59_1_1"/>
<font color="Maroon">c<sub>4</sub></font> is <a href="glib_000.html#V7" target="_self">simple</a>
 <b>by </b><i><a class="txt" href="glib_000.html#E30"><i><font color="Green">Lemma18</font></i></a></i>;<br/>


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