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<b>consider </b><font color="Maroon" title="c2">a</font> being  <a href="msualg_1.html#V5" title="MSUALG_1:attr.5">non-empty</a>  <a href="msualg_1.html#L2" title="MSUALG_1:struct.2">many-sorted</a> of <font color="Maroon" title="c1">S</font>;<br/>
<b>take </b>
 <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V11" title="CLOSURE2:attr.11">strict</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="msualg_1.html#V5" title="MSUALG_1:attr.5">non-empty</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V12" title="CLOSURE2:attr.12">additive</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V13" title="CLOSURE2:attr.13">absolutely-additive</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V14" title="CLOSURE2:attr.14">multiplicative</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V15" title="CLOSURE2:attr.15">absolutely-multiplicative</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V16" title="CLOSURE2:attr.16">properly-upper-bound</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V17" title="CLOSURE2:attr.17">properly-lower-bound</a> )</span><br/>

<b>thus </b><a NAME="E2:73_1_1"/>
(  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V11" title="CLOSURE2:attr.11">strict</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="msualg_1.html#V5" title="MSUALG_1:attr.5">non-empty</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V12" title="CLOSURE2:attr.12">additive</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V13" title="CLOSURE2:attr.13">absolutely-additive</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V14" title="CLOSURE2:attr.14">multiplicative</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V15" title="CLOSURE2:attr.15">absolutely-multiplicative</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V16" title="CLOSURE2:attr.16">properly-upper-bound</a> &amp;  <a href="closure2.html#K9" title="CLOSURE2:func.9">Full</a> <font color="Maroon" title="c2">a</font> is <a href="closure2.html#V17" title="CLOSURE2:attr.17">properly-lower-bound</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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