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<b>let </b><font color="Maroon" title="c1">GS</font> be   <a href="glib_000.html#NM11" title="GLIB_000:NM.11">GraphSeq</a>;<br/>

<b>assume </b><a NAME="E1:103_1_1"/>
<font color="Maroon" title="c1">GS</font> is <a href="glib_000.html#V20" title="GLIB_000:attr.20">simple</a>
 ;<br/>

<b>then reconsider </b><font color="Maroon" title="c2">GS'</font> = <font color="Maroon" title="c1">GS</font> as  <a href="glib_000.html#V20" title="GLIB_000:attr.20">simple</a> <a href="glib_000.html#NM11" title="GLIB_000:NM.11">GraphSeq</a> ;<br/>
<a NAME="E3:103_1_1"/>
for <font color="Olive" title="b1">x</font> being  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a> holds  <font color="Maroon" title="c2">GS'</font> <a href="glib_000.html#K42" title="GLIB_000:func.42">.</a> <font color="Olive" title="b1">x</font> is <a href="glib_000.html#V3" title="GLIB_000:attr.3">loopless</a>
 
;<br/>
<b>hence </b><a NAME="E4:103_1_1"/>
<font color="Maroon" title="c1">GS</font> is <a href="glib_000.html#V15" title="GLIB_000:attr.15">loopless</a>
 <b>by </b><i><a class="ref" href="glib_000.html#D61" target="_self" title="GLIB_000:def.61">Def61</a></i>;<br/>

<a NAME="E5:103_1_1"/>
for <font color="Olive" title="b1">x</font> being  <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a> holds  <font color="Maroon" title="c2">GS'</font> <a href="glib_000.html#K42" title="GLIB_000:func.42">.</a> <font color="Olive" title="b1">x</font> is <a href="glib_000.html#V5" title="GLIB_000:attr.5">non-multi</a>
 
;<br/>
<b>hence </b><a NAME="E6:103_1_1"/>
<font color="Maroon" title="c1">GS</font> is <a href="glib_000.html#V18" title="GLIB_000:attr.18">non-multi</a>
 <b>by </b><i><a class="ref" href="glib_000.html#D64" target="_self" title="GLIB_000:def.64">Def64</a></i>;<br/>


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