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

<b>assume </b><a NAME="E1:107_1_1"/>
( <font color="Maroon">GS</font> is <a href="glib_000.html#V16" target="_self">trivial</a> &amp; <font color="Maroon">GS</font> is <a href="glib_000.html#V15" target="_self">loopless</a> )
 ;<br/>

<b>then reconsider </b><font color="Maroon">GS'</font> = <font color="Maroon">GS</font> as  <a href="glib_000.html#V15" target="_self">loopless</a> <a href="glib_000.html#V16" target="_self">trivial</a> <a href="glib_000.html#NM11">GraphSeq</a> ;<br/>
<a NAME="E3:107_1_1"/>
for <font color="Olive">x</font> being  <a href="nat_1.html#NM1">Nat</a> holds  <font color="Maroon">GS'</font> <a href="glib_000.html#K42" target="_self">.</a> <font color="Olive">x</font> is <a href="glib_000.html#V2" target="_self">finite</a>
 
;<br/>
<b>hence </b><a NAME="E4:107_1_1"/>
<font color="Maroon">GS</font> is <a href="glib_000.html#V14" target="_self">finite</a>
 <b>by </b><i/>;<br/>


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