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<a NAME="E1:44_1_1"/>
(  <a href="monoid_1.html#K11" target="_self">.:</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> is <a href="group_1.html#V7">commutative</a> &amp;  <a href="monoid_1.html#K11" target="_self">.:</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> is <a href="monoid_0.html#V16">cancelable</a> )
 
<b>by </b><i><a class="ref" href="monoid_1.html#T24" target="_self">Th24</a></i>;<br/>
<b>hence </b><a NAME="E2:44_1_1"/>
 <a href="monoid_1.html#K9" target="_self">.:</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> is  <a href="group_1.html#V7">commutative</a> <a href="vectsp_1.html#V1">strict</a> <a href="monoid_0.html#V1">constituted-Functions</a> <a href="monoid_0.html#V16">cancelable</a> <a href="monoid_0.html#V17">uniquely-decomposable</a> <a href="monoid_0.html#NM2">Monoid</a>
 <b>by </b><i><a class="ref" href="monoid_1.html#T24" target="_self">Th24</a></i>;<br/>


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