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<b>let </b><font color="Maroon" title="c1">GSq</font> be  <a href="glib_003.html#V12" title="GLIB_003:attr.12">[Weighted]</a> <a href="glib_003.html#V13" title="GLIB_003:attr.13">[ELabeled]</a> <a href="glib_003.html#V14" title="GLIB_003:attr.14">[VLabeled]</a> <a href="glib_000.html#NM11" title="GLIB_000:NM.11">GraphSeq</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">GSq</font> is <a href="glib_003.html#V15" title="GLIB_003:attr.15">real-weighted</a> &amp; <font color="Maroon" title="c1">GSq</font> is <a href="glib_003.html#V17" title="GLIB_003:attr.17">real-elabeled</a> &amp; <font color="Maroon" title="c1">GSq</font> is <a href="glib_003.html#V18" title="GLIB_003:attr.18">real-vlabeled</a> implies <font color="Maroon" title="c1">GSq</font> is <a href="glib_003.html#V19" title="GLIB_003:attr.19">real-WEV</a> )</span><br/>

<b>assume </b><a NAME="E1:149_2_1"/><i><font color="Green" title="E28">A2</font></i>: 
( <font color="Maroon" title="c1">GSq</font> is <a href="glib_003.html#V15" title="GLIB_003:attr.15">real-weighted</a> &amp; <font color="Maroon" title="c1">GSq</font> is <a href="glib_003.html#V17" title="GLIB_003:attr.17">real-elabeled</a> &amp; <font color="Maroon" title="c1">GSq</font> is <a href="glib_003.html#V18" title="GLIB_003:attr.18">real-vlabeled</a> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">GSq</font> is <a href="glib_003.html#V19" title="GLIB_003:attr.19">real-WEV</a></span><br/>

<b>let </b><font color="Maroon" title="c2">x</font> be   <a href="nat_1.html#NM1" title="NAT_1:NM.1">Nat</a>; <i><font color="Red">:: according to </font></i><a class="ref" href="glib_003.html#D31" target="_self" title="GLIB_003:def.31">GLIB_003:def 31</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">GSq</font> <a href="glib_000.html#K42" title="GLIB_000:func.42">.</a> <font color="Maroon" title="c2">x</font> is <a href="glib_003.html#V11" title="GLIB_003:attr.11">real-WEV</a></span><br/>

<b>reconsider </b><font color="Maroon" title="c3">G</font> = <font color="Maroon" title="c1">GSq</font> <a href="glib_000.html#K42" title="GLIB_000:func.42">.</a> <font color="Maroon" title="c2">x</font> as  <a href="glib_003.html#V7" title="GLIB_003:attr.7">real-weighted</a> <a href="glib_003.html#V9" title="GLIB_003:attr.9">real-elabeled</a> <a href="glib_003.html#V10" title="GLIB_003:attr.10">real-vlabeled</a> <a href="glib_003.html#NM7" title="GLIB_003:NM.7">WEVGraph</a> <b>by </b><i><a class="txt" href="#E1:149_2_1"><i><font color="Green" title="E28">A2</font></i></a>, <a class="ref" href="glib_003.html#D27" target="_self" title="GLIB_003:def.27">Def27</a>, <a class="ref" href="glib_003.html#D29" target="_self" title="GLIB_003:def.29">Def29</a>, <a class="ref" href="glib_003.html#D30" target="_self" title="GLIB_003:def.30">Def30</a></i>;<br/>
<a NAME="E3:149_2_1"/>
<font color="Maroon" title="c3">G</font> is <a href="glib_003.html#V11" title="GLIB_003:attr.11">real-WEV</a>
 
;<br/>
<b>hence </b><a NAME="E4:149_2_1"/>
<font color="Maroon" title="c1">GSq</font> <a href="glib_000.html#K42" title="GLIB_000:func.42">.</a> <font color="Maroon" title="c2">x</font> is <a href="glib_003.html#V11" title="GLIB_003:attr.11">real-WEV</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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