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<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="sgraph1.html#M1" target="_self">SimpleGraph</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><a NAME="E1:30"/><i><font color="Green">E16</font></i>: 
not <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="sgraph1.html#G1" target="_self">SimpleGraphStruct</a>(# <a href="xboole_0.html#K1">{}</a> ,<span class="p1">(<span class="default"><a href="subset_1.html#K1">{}</a> <span class="p2">(<span class="default"><a href="sgraph1.html#K2" target="_self">TWOELEMENTSETS</a> <a href="xboole_0.html#K1">{}</a> </span>)</span></span>)</span> #)
 ;<br/>

<b>take </b>
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font>
;<br/>

<b>take </b>
the <a href="sgraph1.html#U1" target="_self">SEdges</a> of <font color="Maroon">c<sub>2</sub></font>
;<br/>

<b>thus </b><a NAME="E2:30"/>
not the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font> is <a href="xboole_0.html#V1">empty</a>
 <b>by </b><i><a class="txt" href="sgraph1.html#E1:30"><i><font color="Green">E16</font></i></a>, <a class="ref" href="sgraph1.html#T13" target="_self">Th13</a>, <a class="ref" href="xboole_1.html#T3">XBOOLE_1:3</a></i>;<br/>

<b>thus </b><a NAME="E3:30"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="sgraph1.html#G1" target="_self">SimpleGraphStruct</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font>,the <a href="sgraph1.html#U1" target="_self">SEdges</a> of <font color="Maroon">c<sub>2</sub></font> #)
 ;<br/>


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