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<span class="kw">let </span><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" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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/>

<span class="kw">assume </span><a NAME="E1:149_2_1"/><span class="lab"><font color="Green" title="E26">A2</font></span>: 
( <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" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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/>

<span class="kw">let </span><font color="Maroon" title="c2">x</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="glib_003.html#D31" target="_self" onmouseover="rs('glib_003/D31')" onmouseout="rh()">GLIB_003:def 31</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">GSq</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</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/>

<span class="kw">reconsider </span><font color="Maroon" title="c3">G</font> = <font color="Maroon" title="c1">GSq</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</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> <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:149_2_1"><span class="lab"><font color="Green" title="E26">A2</font></span></a></span>;<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/>
<span class="kw">hence </span><a NAME="E4:149_2_1"/>
<font color="Maroon" title="c1">GSq</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</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" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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