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<b>let </b><font color="Maroon">G1</font> be   <a href="glib_000.html#NM2">_Graph</a>, <font color="Maroon">G2</font> be   <a href="glib_000.html#NM2">_Graph</a>;<br/>

<b>assume </b><a NAME="E1:40"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">G1</font> <a href="glib_000.html#R5">==</a> <font color="Maroon">G2</font>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="40_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:40_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">G1</font> <a href="glib_002.html#K3" target="_self">.componentSet()</a> 
 ;<br/><b>then consider </b><font color="Maroon">v1</font> being   <a href="glib_000.html#NM10">Vertex</a> of <font color="Maroon">G1</font><b> such that </b><br/><a NAME="E3:40_1_1"/><i><font color="Green">E42</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G1</font> <a href="glib_002.html#K1" target="_self">.reachableFrom</a> <font color="Maroon">v1</font>
 <b>by </b><i/>;<br/><b>reconsider </b><font color="Maroon">v2</font> = <font color="Maroon">v1</font> as   <a href="glib_000.html#NM10">Vertex</a> of <font color="Maroon">G2</font> <b>by </b><i>, <a class="ref" href="glib_000.html#D36">GLIB_000:def 36</a></i>;<br/><a NAME="E5:40_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G2</font> <a href="glib_002.html#K1" target="_self">.reachableFrom</a> <font color="Maroon">v2</font>
 <b>by </b><i>, , </i>;<br/><b>hence </b><a NAME="E6:40_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">G2</font> <a href="glib_002.html#K3" target="_self">.componentSet()</a> 
 <b>by </b><i/>;<br/></div>
<b>end;</b></div><b>assume </b><a NAME="E2:40_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">G2</font> <a href="glib_002.html#K3" target="_self">.componentSet()</a> 
 ;<br/><b>then consider </b><font color="Maroon">v2</font> being   <a href="glib_000.html#NM10">Vertex</a> of <font color="Maroon">G2</font><b> such that </b><br/><a NAME="E4:40_1"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G2</font> <a href="glib_002.html#K1" target="_self">.reachableFrom</a> <font color="Maroon">v2</font>
 <b>by </b><i/>;<br/><b>reconsider </b><font color="Maroon">v1</font> = <font color="Maroon">v2</font> as   <a href="glib_000.html#NM10">Vertex</a> of <font color="Maroon">G1</font> <b>by </b><i>, <a class="ref" href="glib_000.html#D36">GLIB_000:def 36</a></i>;<br/><a NAME="E6:40_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">G1</font> <a href="glib_002.html#K1" target="_self">.reachableFrom</a> <font color="Maroon">v1</font>
 <b>by </b><i>, , </i>;<br/><b>hence </b><a NAME="E7:40_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">G1</font> <a href="glib_002.html#K3" target="_self">.componentSet()</a> 
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:40"/>
<font color="Maroon">G1</font> <a href="glib_002.html#K3" target="_self">.componentSet()</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">G2</font> <a href="glib_002.html#K3" target="_self">.componentSet()</a> 
 <b>by </b><i><a class="ref" href="tarski.html#T2">TARSKI:2</a></i>;<br/>


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