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<b>let </b><font color="Maroon" title="c2">CS</font> be    <a href="closure2.html#L1" title="CLOSURE2:struct.1">ClosureStr</a> of <font color="Maroon" title="c1">S</font>;<br/>

<b>assume </b><a NAME="E1:90_1_1"/>
<font color="Maroon" title="c2">CS</font> is <a href="closure2.html#V13" title="CLOSURE2:attr.13">absolutely-additive</a>
 ;<br/>

<a NAME="E2:90_1_1"/><b>then </b><i><font color="Green" title="E35">A1</font></i>: 
the <a href="closure2.html#U1" title="CLOSURE2:sel.1">Family</a> of <font color="Maroon" title="c2">CS</font> is <a href="closure2.html#V2" title="CLOSURE2:attr.2">absolutely-additive</a>
 
<b>by </b><i><a class="ref" href="closure2.html#D17" target="_self" title="CLOSURE2:def.17">Def17</a></i>;<br/>
<a NAME="E3:90_1_1"/>
for <font color="Olive" title="b1">I</font> being   <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <br/> for <font color="Olive" title="b2">M</font> being   <a href="pboole.html#M1" title="PBOOLE:mode.1">ManySortedSet</a> of <font color="Olive" title="b1">I</font><br/> for <font color="Olive" title="b3">a</font> being <a href="closure2.html#V2" title="CLOSURE2:attr.2">absolutely-additive</a> <a href="closure2.html#NM1" title="CLOSURE2:NM.1">SubsetFamily</a> of <font color="Olive" title="b2">M</font> holds  <font color="Olive" title="b3">a</font> is <a href="closure2.html#V6" title="CLOSURE2:attr.6">properly-lower-bound</a>
 
;<br/>
<b>hence </b><a NAME="E4:90_1_1"/>
the <a href="closure2.html#U1" title="CLOSURE2:sel.1">Family</a> of <font color="Maroon" title="c2">CS</font> is <a href="closure2.html#V6" title="CLOSURE2:attr.6">properly-lower-bound</a>
 <b>by </b><i><a class="txt" href="closure2.html#E2:90_1_1"><i><font color="Green" title="E35">A1</font></i></a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="closure2.html#D21" target="_self" title="CLOSURE2:def.21">CLOSURE2:def 21</a><br/>


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