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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be   <a href="relat_1.html#NM1">Relation</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="funct_1.html#NM1">Function</a>;<br/>





<b>assume </b><a NAME="E1:53"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="relat_2.html#V1">reflexive</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="relat_2.html#V8">transitive</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="relat_2.html#V4">antisymmetric</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="relat_2.html#V6">connected</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="wellord1.html#V1" target="_self">well_founded</a> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="wellord1.html#R3" target="_self">is_isomorphism_of</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> )
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="wellord1.html#D4" target="_self">WELLORD1:def 4</a><br/>

<b>hence </b><a NAME="E2:53"/>
( <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#V8">transitive</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#V6">connected</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="wellord1.html#V1" target="_self">well_founded</a> )
 <b>by </b><i><a class="ref" href="wellord1.html#T53" target="_self">Th53</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="wellord1.html#D4" target="_self">WELLORD1:def 4</a><br/>


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