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<a NAME="E1:15_1_1"/>
(  <a href="msafree1.html#K2" target="_self">SingleAlg</a> <font color="Maroon">c<sub>1</sub></font> is <a href="msualg_1.html#V5">non-empty</a> &amp;  <a href="msafree1.html#K2" target="_self">SingleAlg</a> <font color="Maroon">c<sub>1</sub></font> is <a href="msafree1.html#V1" target="_self">disjoint_valued</a> )
 
<b>by </b><i><a class="txt" href="msafree1.html#E8"><i><font color="Green">Lemma7</font></i></a></i>;<br/>
<b>hence </b><a NAME="E2:15_1_1"/>
ex <font color="Olive">b<sub>1</sub></font> being   <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">c<sub>1</sub></font> st <br/>( <font color="Olive">b<sub>1</sub></font> is <a href="msualg_1.html#V5">non-empty</a> &amp; <font color="Olive">b<sub>1</sub></font> is <a href="msafree1.html#V1" target="_self">disjoint_valued</a> )
 ;<br/>


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