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<span class="kw">set </span><font color="Maroon" title="c1">H</font> =  the   <a href="glib_000.html#V4" title="GLIB_000:attr.4">_trivial</a>   <a href="glib_008.html#V1" title="GLIB_008:attr.1">edgeless</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>;<br/>
<span class="kw">set </span><font color="Maroon" title="c2">v</font> =  the   <a href="glib_000.html#NM10" title="GLIB_000:NM.10">Vertex</a> of  the   <a href="glib_000.html#V4" title="GLIB_000:attr.4">_trivial</a>   <a href="glib_008.html#V1" title="GLIB_008:attr.1">edgeless</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>;<br/>
<span class="kw">take </span><font color="Maroon" title="c3">G</font> =  the    <a href="glib_006.html#M3" title="GLIB_006:mode.3">addEdge</a> of  the   <a href="glib_000.html#V4" title="GLIB_000:attr.4">_trivial</a>   <a href="glib_008.html#V1" title="GLIB_008:attr.1">edgeless</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>, the   <a href="glib_000.html#NM10" title="GLIB_000:NM.10">Vertex</a> of  the   <a href="glib_000.html#V4" title="GLIB_000:attr.4">_trivial</a>   <a href="glib_008.html#V1" title="GLIB_008:attr.1">edgeless</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>, <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a>  the   <a href="glib_000.html#V4" title="GLIB_000:attr.4">_trivial</a>   <a href="glib_008.html#V1" title="GLIB_008:attr.1">edgeless</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>, the   <a href="glib_000.html#NM10" title="GLIB_000:NM.10">Vertex</a> of  the   <a href="glib_000.html#V4" title="GLIB_000:attr.4">_trivial</a>   <a href="glib_008.html#V1" title="GLIB_008:attr.1">edgeless</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</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="c3">G</font> is  <a href="glib_000.html#V4" title="GLIB_000:attr.4">_trivial</a>  &amp; <font color="Maroon" title="c3">G</font> is  <a href="glib_000.html#V6" title="GLIB_000:attr.6">non-Dmulti</a>  &amp; <font color="Maroon" title="c3">G</font> is  <a href="glib_012.html#V1" title="GLIB_012:attr.1">loopfull</a>  )</span><br/>

<a NAME="E1:1_1_1"/>
<font color="Maroon" title="c3">G</font> is    <a href="glib_012.html#M1" title="GLIB_012:mode.1">addLoops</a> of  the   <a href="glib_000.html#V4" title="GLIB_000:attr.4">_trivial</a>   <a href="glib_008.html#V1" title="GLIB_008:attr.1">edgeless</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>,<span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"> the   <a href="glib_000.html#NM10" title="GLIB_000:NM.10">Vertex</a> of  the   <a href="glib_000.html#V4" title="GLIB_000:attr.4">_trivial</a>   <a href="glib_008.html#V1" title="GLIB_008:attr.1">edgeless</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="glib_012.html#T27" onmouseover="rs('glib_012/T27')" onmouseout="rh()">GLIB_012:27</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:1_1_1"/>
( <font color="Maroon" title="c3">G</font> is  <a href="glib_000.html#V4" title="GLIB_000:attr.4">_trivial</a>  &amp; <font color="Maroon" title="c3">G</font> is  <a href="glib_000.html#V6" title="GLIB_000:attr.6">non-Dmulti</a>  &amp; <font color="Maroon" title="c3">G</font> is  <a href="glib_012.html#V1" title="GLIB_012:attr.1">loopfull</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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