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<b>reconsider </b><font color="Maroon" title="c3">N</font> = <font color="Maroon" title="c2">M</font> as    <a href="pboole.html#M4" title="PBOOLE:mode.4">ManySortedSubset</a> of <font color="Maroon" title="c2">M</font> <b>by </b><i><a class="ref" href="pboole.html#D23" title="PBOOLE:def.23">PBOOLE:def 23</a></i>;<br/>
<b>reconsider </b><font color="Maroon" title="c4">N1</font> = <font color="Maroon" title="c3">N</font> as    <a href="osalg_2.html#M1" title="OSALG_2:mode.1">OrderSortedSubset</a> of <font color="Maroon" title="c2">M</font> <b>by </b><i><a class="ref" href="osalg_2.html#D1" target="_self" title="OSALG_2:def.1">Def1</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c4">N1</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c4">N1</font> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a></span><br/>

<b>thus </b><a NAME="E3:4_1_1"/>
<font color="Maroon" title="c4">N1</font> is <a href="relat_1.html#V2" title="RELAT_1:attr.2">non-empty</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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