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<span class="kw">let </span><font color="Maroon" title="c2">CS</font> be    <a href="closure1.html#L1" title="CLOSURE1:struct.1">MSClosureStr</a> of <font color="Maroon" title="c1">S</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c2">CS</font> is  <a href="closure1.html#V9" title="CLOSURE1:attr.9">absolutely-multiplicative</a>  implies <font color="Maroon" title="c2">CS</font> is  <a href="closure1.html#V10" title="CLOSURE1:attr.10">properly-upper-bound</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:61_1_1"/>
<font color="Maroon" title="c2">CS</font> is  <a href="closure1.html#V9" title="CLOSURE1:attr.9">absolutely-multiplicative</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c2">CS</font> is  <a href="closure1.html#V10" title="CLOSURE1:attr.10">properly-upper-bound</a> </span><br/>

<span class="kw">hence </span><a NAME="E2:61_1_1"/>
the <a href="closure1.html#U1" title="CLOSURE1:sel.1">Family</a> of <font color="Maroon" title="c2">CS</font> is  <a href="mssubfam.html#V5" title="MSSUBFAM:attr.5">properly-upper-bound</a> 
 ; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="closure1.html#D10" target="_self" title="CLOSURE1:def.10">CLOSURE1:def 10</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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