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<b>let </b><font color="Maroon" title="c4">R</font> be    <a href="msualg_4.html#M1" title="MSUALG_4:mode.1">ManySortedRelation</a> of <font color="Maroon" title="c2">A</font>,<font color="Maroon" title="c3">B</font>;<br/><b>let </b><font color="Maroon" title="c5">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="msualg_4.html#D1" target="_self" title="MSUALG_4:def.1">MSUALG_4:def 1</a><br/>



<b>assume </b><a NAME="E1:5_1_1"/>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c4">R</font>
 ;<br/>

<a NAME="E2:5_1_1"/><b>then </b>
<font color="Maroon" title="c5">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">I</font>
 
<b>by </b><i><a class="ref" href="pboole.html#D3" title="PBOOLE:def.3">PBOOLE:def 3</a></i>;<br/>
<b>hence </b><a NAME="E3:5_1_1"/>
<font color="Maroon" title="c4">R</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c5">x</font> is   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a>
 <b>by </b><i><a class="ref" href="msualg_4.html#D2" target="_self" title="MSUALG_4:def.2">Def2</a></i>;<br/>


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