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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="graph_1.html#V7">finite</a> <a href="graph_1.html#NM1">Graph</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be    <a href="subset_1.html#M1">Element</a> of the <a href="graph_1.html#U1">Vertices</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>





<a NAME="E1:88"/>
 <a href="graph_5.html#K4" target="_self">AcyclicPaths</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a>  <a href="graph_5.html#K7" target="_self">AcyclicPaths</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="graph_5.html#T43" target="_self">Th43</a></i>;<br/>
<b>hence </b><a NAME="E2:88"/>
 <a href="graph_5.html#K4" target="_self">AcyclicPaths</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> is <a href="finset_1.html#V1">finite</a>
 <b>by </b><i><a class="ref" href="finset_1.html#T13">FINSET_1:13</a></i>;<br/>


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