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

<a NAME="E1:123"/>
 ex <font color="Olive" title="b1">n</font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <font color="Olive" title="b1">n</font> <a href="binop_1.html#R3" title="BINOP_1:pred.3">is_a_unity_wrt</a>  <a href="binop_2.html#K48" title="BINOP_2:func.48">multnat</a> 
 
<b>by </b><i><a class="ref" href="setwiseo.html#D2" title="SETWISEO:def.2">SETWISEO:def 2</a></i>;<br/>
<b>hence </b><a NAME="E2:123"/>
1 <a href="binop_1.html#R3" title="BINOP_1:pred.3">is_a_unity_wrt</a>  <a href="binop_2.html#K48" title="BINOP_2:func.48">multnat</a> 
 <b>by </b><i><a class="ref" href="monoid_0.html#T61" target="_self" title="MONOID_0:th.61">Th61</a>, <a class="ref" href="monoid_0.html#T63" target="_self" title="MONOID_0:th.63">Th63</a>, <a class="ref" href="binop_1.html#D8" title="BINOP_1:def.8">BINOP_1:def 8</a></i>;<br/>

<b>thus </b><a NAME="E3:123"/>
 <a href="binop_2.html#K48" title="BINOP_2:func.48">multnat</a>  is <a href="monoid_0.html#V9" title="MONOID_0:attr.9">uniquely-decomposable</a>
 <b>by </b><i><a class="ref" href="monoid_0.html#D20" target="_self" title="MONOID_0:def.20">Def20</a>, <a class="ref" href="monoid_0.html#T61" target="_self" title="MONOID_0:th.61">Th61</a></i>;<br/>


</div>
