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<b>let </b><font color="Maroon" title="c1">G</font> be   <a href="graph_1.html#NM1" title="GRAPH_1:NM.1">Graph</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( not <font color="Maroon" title="c1">G</font> is <a href="msscyc_1.html#V4" title="MSSCYC_1:attr.4">well-founded</a> implies  not <font color="Maroon" title="c1">G</font> is <a href="msscyc_1.html#V2" title="MSSCYC_1:attr.2">empty</a> )</span><br/>

<b>assume </b><a NAME="E1:35_1_1"/><i><font color="Green" title="E20">A1</font></i>: 
not <font color="Maroon" title="c1">G</font> is <a href="msscyc_1.html#V4" title="MSSCYC_1:attr.4">well-founded</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> not <font color="Maroon" title="c1">G</font> is <a href="msscyc_1.html#V2" title="MSSCYC_1:attr.2">empty</a></span><br/>

<b>assume </b><a NAME="E2:35_1_1"/>
<font color="Maroon" title="c1">G</font> is <a href="msscyc_1.html#V2" title="MSSCYC_1:attr.2">empty</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> contradiction</span><br/>

<b>then reconsider </b><font color="Maroon" title="c2">G</font> = <font color="Maroon" title="c1">G</font> as  <a href="msscyc_1.html#V2" title="MSSCYC_1:attr.2">empty</a> <a href="graph_1.html#NM1" title="GRAPH_1:NM.1">Graph</a> ;<br/>
<a NAME="E4:35_1_1"/>
<font color="Maroon" title="c2">G</font> is <a href="msscyc_1.html#V4" title="MSSCYC_1:attr.4">well-founded</a>
 
;<br/>
<b>hence </b><a NAME="E5:35_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="msscyc_1.html#E1:35_1_1"><i><font color="Green" title="E20">A1</font></i></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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