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<b>let </b><font color="Maroon">R</font> be   <a href="relat_1.html#NM1">Relation</a>;<br/>

<b>assume </b><a NAME="E1:62"/><i><font color="Green">E31</font></i>: 
(  <a href="relat_1.html#K1" target="_self">dom</a> <font color="Maroon">R</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a>  or  <a href="relat_1.html#K2" target="_self">rng</a> <font color="Maroon">R</font> <a href="hidden.html#R1">=</a>  <a href="xboole_0.html#K1">{}</a>  )
 ;<br/>

<b>assume </b><a NAME="E2:62"/>
<font color="Maroon">R</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/>

<b>then reconsider </b><font color="Maroon">R1</font> = <font color="Maroon">R</font> as  non <a href="xboole_0.html#V1">empty</a> <a href="relat_1.html#NM1">Relation</a> ;<br/>
<a NAME="E4:62"/>
(  <a href="relat_1.html#K1" target="_self">dom</a> <font color="Maroon">R1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  &amp;  <a href="relat_1.html#K2" target="_self">rng</a> <font color="Maroon">R1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a>  )
 
;<br/>
<b>hence </b><a NAME="E5:62"/>
contradiction
 <b>by </b><i/>;<br/>


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