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<a NAME="E1:125"/>
ex <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> st <font color="Olive">b<sub>1</sub></font> <a href="binop_1.html#R3">is_a_unity_wrt</a>  <a href="binop_2.html#K48">multnat</a> 
 
<b>by </b><i><a class="ref" href="setwiseo.html#D2">SETWISEO:def 2</a></i>;<br/>
<b>hence </b><a NAME="E2:125"/>
1 <a href="binop_1.html#R3">is_a_unity_wrt</a>  <a href="binop_2.html#K48">multnat</a> 
 <b>by </b><i><a class="ref" href="monoid_0.html#T61" target="_self">Th61</a>, <a class="ref" href="monoid_0.html#T63" target="_self">Th63</a>, <a class="ref" href="binop_1.html#D8">BINOP_1:def 8</a></i>;<br/>

<b>thus </b><a NAME="E3:125"/>
 <a href="binop_2.html#K48">multnat</a>  is <a href="monoid_0.html#V9" target="_self">uniquely-decomposable</a>
 <b>by </b><i><a class="ref" href="monoid_0.html#D20" target="_self">Def20</a>, <a class="ref" href="monoid_0.html#T61" target="_self">Th61</a></i>;<br/>


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