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<b>let </b><font color="Maroon">CS</font> be    <a href="closure2.html#L1" target="_self">ClosureStr</a> of <font color="Maroon">S</font>;<br/>

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

<a NAME="E2:90_1_1"/><b>then </b><i><font color="Green">E36</font></i>: 
the <a href="closure2.html#U1" target="_self">Family</a> of <font color="Maroon">CS</font> is <a href="closure2.html#V2" target="_self">absolutely-additive</a>
 
<b>by </b><i/>;<br/>
<a NAME="E3:90_1_1"/>
for <font color="Olive">I</font> being   <a href="hidden.html#M1">set</a> <br/> for <font color="Olive">M</font> being   <a href="pboole.html#M1">ManySortedSet</a> of <font color="Olive">I</font><br/> for <font color="Olive">a</font> being <a href="closure2.html#V2" target="_self">absolutely-additive</a> <a href="closure2.html#NM1">SubsetFamily</a> of <font color="Olive">M</font> holds  <font color="Olive">a</font> is <a href="closure2.html#V6" target="_self">properly-lower-bound</a>
 
;<br/>
<b>hence </b><a NAME="E4:90_1_1"/>
the <a href="closure2.html#U1" target="_self">Family</a> of <font color="Maroon">CS</font> is <a href="closure2.html#V6" target="_self">properly-lower-bound</a>
 <b>by </b><i/>; <i><font color="Red">:: according to </font></i><a class="ref" href="closure2.html#D21" target="_self">CLOSURE2:def 21</a><br/>


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