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<span class="kw">let </span><font color="Maroon" title="c1">G</font> be   <a href="glib_000.html#V3" title="GLIB_000:attr.3">loopless</a>   <a href="glib_002.html#V1" title="GLIB_002:attr.1">connected</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="c1">G</font> is    <a href="glib_014.html#M1" title="GLIB_014:mode.1">GraphUnion</a> of <font color="Maroon" title="c1">G</font> <a href="glenum00.html#K14" title="GLENUM00:func.14">.allSpanningTrees()</a> </span><br/>

<span class="kw">set </span><font color="Maroon" title="c2">H</font> =  the   <a href="glib_009.html#NM1" title="GLIB_009:NM.1">removeLoops</a> of <font color="Maroon" title="c1">G</font>;<br/>
<a NAME="E1:235"/><span class="lab"><font color="Green" title="E142">A1</font></span>: 
<font color="Maroon" title="c1">G</font> <a href="glib_000.html#R5" title="GLIB_000:pred.5">==</a>  the   <a href="glib_009.html#NM1" title="GLIB_009:NM.1">removeLoops</a> of <font color="Maroon" title="c1">G</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="glib_009.html#T58" onmouseover="rs('glib_009/T58')" onmouseout="rh()">GLIB_009:58</a></span>;<br/>
<a NAME="E2:235"/>
 the   <a href="glib_009.html#NM1" title="GLIB_009:NM.1">removeLoops</a> of <font color="Maroon" title="c1">G</font> is    <a href="glib_014.html#M1" title="GLIB_014:mode.1">GraphUnion</a> of <font color="Maroon" title="c1">G</font> <a href="glenum00.html#K14" title="GLENUM00:func.14">.allSpanningTrees()</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="glenum00.html#T185" target="_self" onmouseover="rs('glenum00/T185')" onmouseout="rh()">Th185</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:235"/>
<font color="Maroon" title="c1">G</font> is    <a href="glib_014.html#M1" title="GLIB_014:mode.1">GraphUnion</a> of <font color="Maroon" title="c1">G</font> <a href="glenum00.html#K14" title="GLENUM00:func.14">.allSpanningTrees()</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:235"><span class="lab"><font color="Green" title="E142">A1</font></span></a>, <a class="ref" href="glib_014.html#T22" onmouseover="rs('glib_014/T22')" onmouseout="rh()">GLIB_014:22</a></span>; <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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