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<b>thus </b><a NAME="E1:28_1_1"/>
 <a href="closure3.html#K5" target="_self">SubAlgCl</a> <font color="Maroon">c<sub>2</sub></font> is <a href="closure2.html#V15">absolutely-multiplicative</a>
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="28_1_1_1"><b>proof </b></a><div class="add">

<a NAME="E1:28_1_1_1"/><i><font color="Green">E11</font></i>: 
the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><a href="closure3.html#K5" target="_self">SubAlgCl</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="closure3.html#D7" target="_self">Def7</a></i>;<br/>
<b>set </b><font color="Maroon">c<sub>3</sub></font> = the <a href="closure2.html#U1">Family</a> of <span class="p1">(<span class="default"><a href="closure3.html#K5" target="_self">SubAlgCl</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>4</sub></font> =  <a href="msualg_2.html#K6">SubSort</a> <font color="Maroon">c<sub>2</sub></font> as  <a href="closure2.html#V4">absolutely-multiplicative</a> <a href="closure2.html#NM1">SubsetFamily</a> of the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>2</sub></font> <b>by </b><i><a class="ref" href="closure3.html#T16" target="_self">Th16</a></i>;<br/>
<a NAME="E3:28_1_1_1"/>
the <a href="closure2.html#U1">Family</a> of <span class="p1">(<span class="default"><a href="closure3.html#K5" target="_self">SubAlgCl</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="ref" href="closure3.html#D7" target="_self">Def7</a></i>;<br/>
<b>hence </b><a NAME="E4:28_1_1_1"/>
 <a href="closure3.html#K5" target="_self">SubAlgCl</a> <font color="Maroon">c<sub>2</sub></font> is <a href="closure2.html#V15">absolutely-multiplicative</a>
 <b>by </b><i><a class="txt" href="closure3.html#E1:28_1_1_1"><i><font color="Green">E11</font></i></a>, <a class="ref" href="closure2.html#D19">CLOSURE2:def 19</a></i>;<br/>


</div><b>end;</b></div>


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