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<b>let </b><font color="Maroon">G1</font> be   <a href="glib_000.html#NM2">_Graph</a>, <font color="Maroon">G2</font> be   <a href="glib_000.html#NM2">_Graph</a>;<br/>

<b>assume </b><a NAME="E1:73"/><i><font color="Green">E30</font></i>: 
<font color="Maroon">G1</font> <a href="glib_000.html#R5">==</a> <font color="Maroon">G2</font>
 ;<br/>

<b>assume </b><a NAME="E2:73"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">G1</font> is <a href="chord.html#V2" target="_self">complete</a>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="73_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">u</font> be   <a href="glib_000.html#NM10">Vertex</a> of <font color="Maroon">G2</font>, <font color="Maroon">v</font> be   <a href="glib_000.html#NM10">Vertex</a> of <font color="Maroon">G2</font>;<br/><b>assume </b><a NAME="E1:73_1"/><i><font color="Green">E53</font></i>: 
<font color="Maroon">u</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">v</font>
 ;<br/><b>reconsider </b><font color="Maroon">u2</font> = <font color="Maroon">u</font> as   <a href="glib_000.html#NM10">Vertex</a> of <font color="Maroon">G1</font> <b>by </b><i>, <a class="ref" href="glib_000.html#D36">GLIB_000:def 36</a></i>;<br/><b>reconsider </b><font color="Maroon">v2</font> = <font color="Maroon">v</font> as   <a href="glib_000.html#NM10">Vertex</a> of <font color="Maroon">G1</font> <b>by </b><i>, <a class="ref" href="glib_000.html#D36">GLIB_000:def 36</a></i>;<br/><a NAME="E4:73_1"/>
<font color="Maroon">u2</font>,<font color="Maroon">v2</font> <a href="chord.html#R1" target="_self">are_adjacent</a> 
 <b>by </b><i><a class="ref" href="chord.html#T15" target="_self">Th15</a>, , </i>;<br/><b>hence </b><a NAME="E5:73_1"/>
<font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="chord.html#R1" target="_self">are_adjacent</a> 
 <b>by </b><i>, <a class="ref" href="chord.html#T5" target="_self">Th5</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:73"/>
<font color="Maroon">G2</font> is <a href="chord.html#V2" target="_self">complete</a>
 <b>by </b><i/>;<br/>


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