<?xml version="1.0"?>
<div class="add">

<a NAME="E1:44_1_1"/>
(  <a href="monoid_1.html#K11" title="MONOID_1:func.11">.:</a> <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">A</font> is <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a> &amp;  <a href="monoid_1.html#K11" title="MONOID_1:func.11">.:</a> <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">A</font> is <a href="monoid_0.html#V16" title="MONOID_0:attr.16">cancelable</a> )
 
<b>by </b><i><a class="ref" href="monoid_1.html#T24" target="_self" title="MONOID_1:th.24">Th24</a></i>;<br/>
<b>hence </b><a NAME="E2:44_1_1"/>
 <a href="monoid_1.html#K9" title="MONOID_1:func.9">.:</a> <font color="Maroon" title="c1">G</font>,<font color="Maroon" title="c2">A</font> is  <a href="algstr_0.html#V22" title="ALGSTR_0:attr.22">strict</a> <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a> <a href="monoid_0.html#V1" title="MONOID_0:attr.1">constituted-Functions</a> <a href="monoid_0.html#V16" title="MONOID_0:attr.16">cancelable</a> <a href="monoid_0.html#V17" title="MONOID_0:attr.17">uniquely-decomposable</a> <a href="monoid_0.html#NM2" title="MONOID_0:NM.2">Monoid</a>
 <b>by </b><i><a class="ref" href="monoid_1.html#T24" target="_self" title="MONOID_1:th.24">Th24</a></i>;<br/>


</div>
