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<b>let </b><font color="Maroon">G</font> be   <a href="graph_1.html#NM1">Graph</a>;<br/>

<b>assume </b><a NAME="E1:31_1_1"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">G</font> is <a href="msscyc_1.html#V2" target="_self">empty</a>
 ;<br/>

<b>let </b><font color="Maroon">c</font> be  <a href="graph_1.html#V8">directed</a>  <a href="graph_1.html#M1">Chain</a> of <font color="Maroon">G</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="msscyc_1.html#D4" target="_self">MSSCYC_1:def 4</a><br/>

<b>assume </b><a NAME="E2:31_1_1"/>
not <font color="Maroon">c</font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/>

<a NAME="E3:31_1_1"/><b>then </b>
1 <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K4">dom</a> <font color="Maroon">c</font>
 
<b>by </b><i><a class="ref" href="finseq_5.html#T6">FINSEQ_5:6</a></i>;<br/>
<a NAME="E4:31_1_1"/><b>then </b><i><font color="Green">E42</font></i>: 
<font color="Maroon">c</font> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <font color="Maroon">c</font>
 
<b>by </b><i><a class="ref" href="funct_1.html#D5">FUNCT_1:def 5</a></i>;<br/>
<a NAME="E5:31_1_1"/>
<font color="Maroon">c</font> is    <a href="finseq_1.html#M2">FinSequence</a> of the <a href="graph_1.html#U2">Edges</a> of <font color="Maroon">G</font>
 
<b>by </b><i/>;<br/>
<a NAME="E6:31_1_1"/><b>then </b>
 <a href="relat_1.html#K2">rng</a> <font color="Maroon">c</font> <a href="tarski.html#R1">c=</a> the <a href="graph_1.html#U2">Edges</a> of <font color="Maroon">G</font>
 
<b>by </b><i><a class="ref" href="finseq_1.html#D4">FINSEQ_1:def 4</a></i>;<br/>
<b>hence </b><a NAME="E7:31_1_1"/>
not <font color="Maroon">c</font> is <a href="msscyc_1.html#V1" target="_self">cyclic</a>
 <b>by </b><i>, , </i>;<br/>


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