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<b>let </b><font color="Maroon" title="c1">G1</font> be   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">G2</font> being <a href="glib_000.html#V9" title="GLIB_000:attr.9">spanning</a>  <a href="glib_000.html#M2" title="GLIB_000:mode.2">Subgraph</a> of <font color="Maroon" title="c1">G1</font><br/> for <font color="Olive" title="b2">G3</font> being <a href="glib_000.html#V9" title="GLIB_000:attr.9">spanning</a>  <a href="glib_000.html#M2" title="GLIB_000:mode.2">Subgraph</a> of <font color="Olive" title="b1">G2</font> holds  <font color="Olive" title="b2">G3</font> is  <a href="glib_000.html#V9" title="GLIB_000:attr.9">spanning</a>  <a href="glib_000.html#M2" title="GLIB_000:mode.2">Subgraph</a> of <font color="Maroon" title="c1">G1</font></span><br/><b>let </b><font color="Maroon" title="c2">G2</font> be  <a href="glib_000.html#V9" title="GLIB_000:attr.9">spanning</a>  <a href="glib_000.html#M2" title="GLIB_000:mode.2">Subgraph</a> of <font color="Maroon" title="c1">G1</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">G3</font> being <a href="glib_000.html#V9" title="GLIB_000:attr.9">spanning</a>  <a href="glib_000.html#M2" title="GLIB_000:mode.2">Subgraph</a> of <font color="Maroon" title="c2">G2</font> holds  <font color="Olive" title="b1">G3</font> is  <a href="glib_000.html#V9" title="GLIB_000:attr.9">spanning</a>  <a href="glib_000.html#M2" title="GLIB_000:mode.2">Subgraph</a> of <font color="Maroon" title="c1">G1</font></span><br/><b>let </b><font color="Maroon" title="c3">G3</font> be  <a href="glib_000.html#V9" title="GLIB_000:attr.9">spanning</a>  <a href="glib_000.html#M2" title="GLIB_000:mode.2">Subgraph</a> of <font color="Maroon" title="c2">G2</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c3">G3</font> is  <a href="glib_000.html#V9" title="GLIB_000:attr.9">spanning</a>  <a href="glib_000.html#M2" title="GLIB_000:mode.2">Subgraph</a> of <font color="Maroon" title="c1">G1</font></span><br/>





 <a href="glib_000.html#K25" title="GLIB_000:func.25">the_Vertices_of</a> <font color="Maroon" title="c3">G3</font> = 
 <a href="glib_000.html#K25" title="GLIB_000:func.25">the_Vertices_of</a> <font color="Maroon" title="c2">G2</font>
<b>by </b><i><a class="ref" href="glib_000.html#D35" target="_self" title="GLIB_000:def.35">Def35</a></i>
<br/>.= 
 <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Maroon" title="c1">G1</font>
<b>by </b><i><a class="ref" href="glib_000.html#D35" target="_self" title="GLIB_000:def.35">Def35</a></i>
;<br/>
<b>hence </b><a NAME="E2:166"/>
<font color="Maroon" title="c3">G3</font> is  <a href="glib_000.html#V9" title="GLIB_000:attr.9">spanning</a>  <a href="glib_000.html#M2" title="GLIB_000:mode.2">Subgraph</a> of <font color="Maroon" title="c1">G1</font>
 <b>by </b><i><a class="ref" href="glib_000.html#D35" target="_self" title="GLIB_000:def.35">Def35</a>, <a class="ref" href="glib_000.html#T46" target="_self" title="GLIB_000:th.46">Th46</a></i>; <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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