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<b>reconsider </b><font color="Maroon">c<sub>2</sub></font> =  <a href="relat_1.html#K6">id</a> <font color="Maroon">c<sub>1</sub></font> as   <a href="relset_1.html#NM3">Relation</a> of <font color="Maroon">c<sub>1</sub></font> <b>by </b><i><a class="txt" href="partfun1.html#E199"><i><font color="Green">Lemma57</font></i></a></i>;<br/>
<b>take </b>
<font color="Maroon">c<sub>2</sub></font>
;<br/>

<b>thus </b><a NAME="E2:118_1_1"/>
( <font color="Maroon">c<sub>2</sub></font> is <a href="partfun1.html#V1" target="_self">total</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="relat_2.html#V1">reflexive</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="relat_2.html#V3">symmetric</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="relat_2.html#V4">antisymmetric</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="relat_2.html#V8">transitive</a> )
 <b>by </b><i><a class="txt" href="partfun1.html#E197"><i><font color="Green">Lemma55</font></i></a>, <a class="txt" href="partfun1.html#E198"><i><font color="Green">Lemma56</font></i></a></i>;<br/>


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