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<b>let </b><font color="Maroon">G1</font> be    <a href="glib_000.html#M3" target="_self">inducedSubgraph</a> of <font color="Maroon">G</font>, <a href="glib_000.html#K6" target="_self">the_Vertices_of</a> <font color="Maroon">G</font>,<font color="Maroon">E</font>;<br/>

<a NAME="E1:62_1_1"/>
<font color="Maroon">G</font> <a href="glib_000.html#K22" target="_self">.edgesBetween</a> <span class="p1">(<span class="default"><a href="glib_000.html#K6" target="_self">the_Vertices_of</a> <font color="Maroon">G</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="glib_000.html#K7" target="_self">the_Edges_of</a> <font color="Maroon">G</font>
 
<b>by </b><i/>;<br/>
<a NAME="E2:62_1_1"/><b>then </b>
(  <a href="glib_000.html#K6" target="_self">the_Vertices_of</a> <font color="Maroon">G</font> <a href="tarski.html#R1">c=</a>  <a href="glib_000.html#K6" target="_self">the_Vertices_of</a> <font color="Maroon">G</font> &amp; <font color="Maroon">E</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">G</font> <a href="glib_000.html#K22" target="_self">.edgesBetween</a> <span class="p1">(<span class="default"><a href="glib_000.html#K6" target="_self">the_Vertices_of</a> <font color="Maroon">G</font></span>)</span> )
 
;<br/>
<a NAME="E3:62_1_1"/><b>then </b>
 <a href="glib_000.html#K25" target="_self">the_Vertices_of</a> <font color="Maroon">G1</font> <a href="hidden.html#R1">=</a>  <a href="glib_000.html#K6" target="_self">the_Vertices_of</a> <font color="Maroon">G</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E4:62_1_1"/>
<font color="Maroon">G1</font> is <a href="glib_000.html#V9" target="_self">spanning</a>
 <b>by </b><i/>;<br/>


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