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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="glib_000.html#NM11">GraphSeq</a>;<br/>

<b>assume </b><a NAME="E1:57_2_1"/><i><font color="Green">E40</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> is <a href="glib_000.html#V16">trivial</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="glib_000.html#V15">loopless</a> )
 ;<br/>

<b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="nat_1.html#NM1">Nat</a>; <i><font color="Red">:: according to </font></i><a class="ref" href="glib_002.html#D14" target="_self">GLIB_002:def 14</a><br/>

<b>reconsider </b><font color="Maroon">c<sub>3</sub></font> = <font color="Maroon">c<sub>1</sub></font> <a href="glib_000.html#K42">.-&gt;</a> <font color="Maroon">c<sub>2</sub></font> as  <a href="glib_000.html#V3">loopless</a> <a href="glib_000.html#V4">trivial</a> <a href="glib_000.html#NM2">_Graph</a> <b>by </b><i><a class="txt" href="glib_002.html#E1:57_2_1"><i><font color="Green">E40</font></i></a>, <a class="ref" href="glib_000.html#D61">GLIB_000:def 61</a>, <a class="ref" href="glib_000.html#D62">GLIB_000:def 62</a></i>;<br/>
<a NAME="E3:57_2_1"/>
<font color="Maroon">c<sub>3</sub></font> is <a href="glib_002.html#V3" target="_self">Tree-like</a>
 
;<br/>
<b>hence </b><a NAME="E4:57_2_1"/>
<font color="Maroon">c<sub>1</sub></font> <a href="glib_000.html#K42">.-&gt;</a> <font color="Maroon">c<sub>2</sub></font> is <a href="glib_002.html#V3" target="_self">Tree-like</a>
 ;<br/>


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