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<b>let </b><font color="Maroon">GSq</font> be  <a href="glib_003.html#V12" target="_self">[Weighted]</a> <a href="glib_003.html#V13" target="_self">[ELabeled]</a> <a href="glib_003.html#V14" target="_self">[VLabeled]</a> <a href="glib_000.html#NM11">GraphSeq</a>;<br/>

<b>assume </b><a NAME="E1:150_1_1"/><i><font color="Green">E30</font></i>: 
for <font color="Olive">x</font> being  <a href="nat_1.html#NM1">Nat</a> holds  <font color="Maroon">GSq</font> <a href="glib_000.html#K42">.</a> <font color="Olive">x</font> is <a href="glib_003.html#V11" target="_self">real-WEV</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="glib_003.html#D31" target="_self">GLIB_003:def 31</a><br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="150_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>reconsider </b><font color="Maroon">G</font> = <font color="Maroon">GSq</font> <a href="glib_000.html#K42">.</a> <font color="Maroon">x</font> as  <a href="glib_003.html#V11" target="_self">real-WEV</a> <a href="glib_003.html#NM7">WEVGraph</a> <b>by </b><i/>;<br/><a NAME="E2:150_1_1_1"/>
<font color="Maroon">G</font> is <a href="glib_003.html#V11" target="_self">real-WEV</a>
 ;<br/><b>hence </b><a NAME="E3:150_1_1_1"/>
<font color="Maroon">GSq</font> <a href="glib_000.html#K42">.</a> <font color="Maroon">x</font> is <a href="glib_003.html#V7" target="_self">real-weighted</a>
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:150_1_1"/>
<font color="Maroon">GSq</font> is <a href="glib_003.html#V15" target="_self">real-weighted</a>
 <b>by </b><i/>;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="150_1_1_2"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>reconsider </b><font color="Maroon">G</font> = <font color="Maroon">GSq</font> <a href="glib_000.html#K42">.</a> <font color="Maroon">x</font> as  <a href="glib_003.html#V11" target="_self">real-WEV</a> <a href="glib_003.html#NM7">WEVGraph</a> <b>by </b><i/>;<br/><a NAME="E2:150_1_1_2"/>
<font color="Maroon">G</font> is <a href="glib_003.html#V11" target="_self">real-WEV</a>
 ;<br/><b>hence </b><a NAME="E3:150_1_1_2"/>
<font color="Maroon">GSq</font> <a href="glib_000.html#K42">.</a> <font color="Maroon">x</font> is <a href="glib_003.html#V9" target="_self">real-elabeled</a>
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E5:150_1_1"/>
<font color="Maroon">GSq</font> is <a href="glib_003.html#V17" target="_self">real-elabeled</a>
 <b>by </b><i/>;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="150_1_1_3"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be   <a href="nat_1.html#NM1">Nat</a>;<br/><b>reconsider </b><font color="Maroon">G</font> = <font color="Maroon">GSq</font> <a href="glib_000.html#K42">.</a> <font color="Maroon">x</font> as  <a href="glib_003.html#V11" target="_self">real-WEV</a> <a href="glib_003.html#NM7">WEVGraph</a> <b>by </b><i/>;<br/><a NAME="E2:150_1_1_3"/>
<font color="Maroon">G</font> is <a href="glib_003.html#V11" target="_self">real-WEV</a>
 ;<br/><b>hence </b><a NAME="E3:150_1_1_3"/>
<font color="Maroon">GSq</font> <a href="glib_000.html#K42">.</a> <font color="Maroon">x</font> is <a href="glib_003.html#V10" target="_self">real-vlabeled</a>
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E7:150_1_1"/>
<font color="Maroon">GSq</font> is <a href="glib_003.html#V18" target="_self">real-vlabeled</a>
 <b>by </b><i/>;<br/>


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