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<b>let </b><font color="Maroon" title="c1">X</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/><b>let </b><font color="Maroon" title="c2">Si</font> be   <a href="prob_1.html#NM3" title="PROB_1:NM.3">SigmaField</a> of <font color="Maroon" title="c1">X</font>;<br/><b>let </b><font color="Maroon" title="c3">XSeq</font> be    <a href="prob_1.html#M1" title="PROB_1:mode.1">SetSequence</a> of <font color="Maroon" title="c2">Si</font>;<br/>





<b>assume </b><a NAME="E1:28"/><i><font color="Green" title="E21">A1</font></i>: 
<font color="Maroon" title="c3">XSeq</font> is <a href="prob_1.html#V3" title="PROB_1:attr.3">non-decreasing</a>
 ;<br/>

<a NAME="E2:28"/>
 <a href="prob_3.html#K5" title="PROB_3:func.5">@Partial_Union</a> <font color="Maroon" title="c3">XSeq</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="prob_3.html#K2" title="PROB_3:func.2">Partial_Union</a> <font color="Maroon" title="c3">XSeq</font>
 
<b>by </b><i><a class="ref" href="prob_3.html#D6" title="PROB_3:def.6">PROB_3:def 6</a></i>;<br/>
<b>hence </b><a NAME="E3:28"/>
 <a href="prob_3.html#K5" title="PROB_3:func.5">@Partial_Union</a> <font color="Maroon" title="c3">XSeq</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c3">XSeq</font>
 <b>by </b><i><a class="txt" href="prob_4.html#E1:28"><i><font color="Green" title="E21">A1</font></i></a>, <a class="ref" href="prob_4.html#T16" target="_self" title="PROB_4:th.16">Th16</a></i>;<br/>


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